bulletin "56. SerUs F, Geography. 42

DEPARTMENT OF THE INTERIOR

UNITED STATES GEOLOGICAL SURVEY

CHARLES I). \YALOOTT. DIRECTOR

GEOGRAPHIC

TABLES AND FORMULAS

COMPILED BY

SAMUEL S. G-AISnSTETT

O

WASHINGTON

GOVERNMENT PRINTING OFFICE

1904:

Bulletin No. 234 Series F, Geography, 42

DEPARTMENT OF THE INTERIOR

UNITED STATES GEOLOGICAL SUEVEY

CHARLES D. WALCOTT, DIRECTOR

GEOGRAPHIC

TABLES AND FORMULAS

(SECOND

COMPILED BY

y

SAMUEL S. G-AISHSTETT

* -»- * " 

.. .....56653.

WASHINGTON

GOVERNMENT PRINTING OFFICE 

1904
' II.S.GEOLOGICALSORVEY 

 OCT.13I904' 

.-LIBRARY.
CONTENTS.

Paga

Letter of transmitted...................................................... 7

Rules for solution of right-angled triangles................................. 9

Reduction to center....................................................... 10

Graphic reduction to center............................................... 12

Solution of triangles, tAVO sides and included angle being given .............. 12

Three-point problem ...................................................... 13

Graphic solution of the three-point problem................................ 15

Method of fixing a meridian at any time by hour angle...................... 16

Tables................................................................... 18

1. Polaris: times of Culmination and elongation........................ 18

2. Polaris: azimuth at elongation..................................... 21

3. Polaris: azimuths at different hour angles.......................... 22

4. Polaris: azimuth^ and altitudes at different hour angles ............. 28

5. Projections for large areas......................................... 37

6. Projections: scale TTsW<r> latitudes 0° to 80°........................ 49

7. .Projections: scald iryjhnr, latitudes 0° to 80°......................... 59

8. Projections: scale ra£ro, latitudes 25° to 50°........................ 71

9. Projections: scale ^fa, latitudes 26° to 50°........................ . 77

10. Projections: scalf; T^hnr, latitudes 25° to 50°........................ 85

11. Areas of quadrilaterals; 30' extent, latitudes 0° to 90°............... 94

12. Areas of quadrilaterals; 15/ extent, latitudes 0° to 90°............... 97

13. Areas of quadrilaterals; 10' extent, latitudes 0° to 90°............... 103

14. For conversion oil arc into time .................................... 108

15. For conversion of time into arc .........'............................ 109

16. For conversion of mean time into sidereal time ..................... 110

17. For conversion of sidereal time into mean time ..................... ] 11

18. For interconversion of feet and decimals of a mile................... 112

19. For conversion of wheel revolutions into decimals of a mile.......... 113

20. Fi ve-place logarithms of natural numbers .......................... 123

21. Five-place logarithms of circular functions expressed in arc and time. 145

22. Geodetic position: computations.................................... 190

23. Log. in, for use ill computing spherical excess ...................... 266

24. Mean refraction ................................................... 267

25. Corrections for curvature and refraction.............. i............. 268

26. For obtaining differences of altitude................................ 270

' 27. Horizontal distances and elevations from stadia readings............. 285

28. For converting metric into United States measures.................. 294

29. For converting United States measures into metric.................. 295

30. For interconversion of miles and logarithms of meters............... 296

Convenient equivalents....................... ^............................ 308

Constants................................................................. 310

Linear expansion of metals................................................ 310

3

ILLUSTRATIONS.

Page.

FIG. 1. Solution of right-angled triangles .................................. 9

2. Beduction to center ............................................... 10

3. Solution oi triangles; two sides and included angle given ............ 12

4. Three-point problem; computation ......................... ^........ 14

5. Three-point problem; graphic solution ............................. 15

6. Aspects of Polaris............................... .................. 16

LETTER OF TRANSMITTAL.

DEPARTMENT OF THE INTERIOR,

UNITED STATES GEOLOGICAL SURVEY,

Washington, D. 0., April®!, 1904.

SIR: I have the honor to transmit herewith, in form for publication, 

the second edition (with corrections and additions) of certain geographic tables and formulas pertaining to the work of the topographic 

branch of this Survey. As stated in the letter of transmittal of the 

first edition, published as Bulletin 214, the endeavor has been to bring 

together all tables and formulas used by the topographer in the field 

and office, and it is believed that their publication will be useful not 

only to the topographic corps but to others engaged in similar lines of 

work. The material has been drawn from various sources, some of it 

having been prepared from time to time by various members of the 

Geological Surve}r and the remaining portions having been taken 

principally from publications of the United States Coast and Geodetic 

Survey and the Smithsonian Institution. /

The matter has been revised by Mr. E. M. Douglas and Mr. H. L. 

Baldwin, jr.

Very respectfully,

S. S. GANNETT, 

Geographer in Charge 

Section of Triangulation and Computing. 

Hon. CHARLES D. WALCOTT.

Director United States Geological Survey.

7

GEOGRAPHIC TABLES AND FORMULAS.

(SECOND EDITION.)

Compiled by S. S. GANNETT.

RULES FOR SOLUTION OF RIGHT-ANGLED TRIANGLES.

The "parts" of the figures are 

H=hy pothenuse, 

P=perpendicular, 

B=base, 

and the six circular functions of the angle a at the base of the triangle.

Secant

Cosecant

Cotangent

i .Tangent

Sine

Cosine

/

FIG. 1. Solution of right-angled triangles.

RULE' I. The product of. two opposite parts = 1, .'. either is the 

reciprocal of the other.

Example: Tan a x cot a = 1, tan ot= . 

Rule 11. Each part = adjacent part divided \)y the following part, 

; . each part the product of the adjacent parts.

COS IT 1 O- Example: bin cx~ . ^ sin a= <*.
10 GEOGKAPHIC TABLES AND FORMULAS. [BULL. 234.

REDUCTION TO CENTER.

In fig. 2 let

P=place of instrument; 

C=center of station;

Q=measured angle at P between two objects, A and B; 

y=angle at P between C and the left-hand object, B; 

r=distance CP;

C' = unknown and required angle at C; . D distance AC;

(r and D must be reduced to same unit, usually meters.) 

G=distance BC; 

A=angle at A between P and C; 

B=angle at B between P and C.

FIG. 2. Reduction to center.

Then, from the relation between the parts of the triangle,

G : r :: sin y : sin B; 

hence

. r sin y sin B= Q 

As the angles at A and B are very small, their sines may be regarded 

as equal to A sin 1" and B sin 1", respectively; hence

and

tp ftlll I/

B=(in seconds)^ sinl/,

r sin (Qd=y)_ r sin y 

D sin 1" G sin 1"'
GANNETT.] KEDUCTION TO CENTEB. 11

In the use of this formula, proper attention should be paid to the 

signs of sin (Q+y) and sin y\ for the first term will be positive only 

when (Q+y) is less than 180° (the reverse with sin ?/); D being the 

distance of the right-hand object, the graduation of the instrument 

running from left to right,

T being relatively small, the lengths of D and G are approximately 

computed with the angle Q.

The following quantities must be known in addition to the measured 

angles in order to find the correction for reducing to center:

1. The angle measured at the instrument, P, between the center of 

the signal or station, C, and the first-observed station to the right of 

it, A.

2. The distance from the center of the instrument to the center of 

the station = f.

3. The approximate distances, D, G, etc., from the station occupied 

to the stations observed. The latter m&y be computed from the 

unconnected angles. 

Example: Reduction to center from P to C.

Constants: a. C. log sin 1" =5. 31443 

log feet to log meters =9.48402

log constant (for any station) 

r=6.5 feet: loglog constant for this station

4. 79845 

=0. 81291

5. 61136

log ? + constant. ..........................'..........

correction to angle B P A==4",08 +5". 12=9". 20.

. Angle 

Q-Y 

(CPA) 23° 40'

9. 6036

5. 3954

5. 6114

0. 6104

4". 08

Anglo

(BPC) 37°14' 

or 322° 46'

9. 7818

5. 31.62

5. 6114

0. 7094

5". 12
12 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

GRAPHIC REDUCTION TO CENTER.

Approximate closure errors of triangles may be tested in the field 

before distances have been computed by scaling from the plot the 

distances between stations in miles and the perpendicular distance in 

feet from signal to line joining instrument and distant station.

Then, since 1 foot at a distance of 40 miles subtends an angle of 1" ' . - o

(nearly),

length of perpendicular in feet X 40 , i 

- - ^ r 3 n = correction in seconds, 

number of miles

Example: Station P. Correction for swing on line B P, 30 miles 

in length from instrument to signal

_ 3.8 feet X 40 _ 30 -&.!,.

correction for swing on line A P, 25 miles in length, 

=2.Gfeet X 40 =

25 ' *' '

and correction to angle B P A = Q to reduce from instrument to signal = 5.1" + 4.2" = 9.3", agreeing closely with the exact computation.

APPROXIMATE SPHERICAL EXCESS IN SECONDS.

This may be obtained by dividing the area of the triangle in square 

miles by 75.5.

SOLUTION OF TRIA3STGTjES.

Given two sides and included angle, to solve the triangle:

FIG. 3. Solution of triangles; two sides and included angle given.

Let x be an auxiliary angle; then

tan %=- > or log tan x=\og a log J;

tan £ (A-B) = tan («-45°) tan i (A+B); 

* (A+B)+* (A-B)=A;

i(A+B)-HA-B) = B; 

from which remaining parts can be computed.
GANNETT.]

Example:

SOLUTION OF TKIANGLES.

Given log ci=4.3666779 Given C'(spherical angle) 21° 14.' 54". 10 

Given log 6=4.2050498 Given } sph. exc. .10

13

(1) ten z=0.1616281 

x=55° US' 25".41

-45

(5) Log tan (z-45°)=10° 25' 25". 41=9.2647291

(6) Log tan 79 22 33 .00=0.7268100

C (plane angle) = 21 14 54.00(2) 

180

180°-C=A-f.B=158 45 06 .00 (3) 

4 (A+B)= 79° 22' 33". 00 (4)

(7) 9.9915391=tan i (A-B) 44. 26 30 .90

(10)

sum=A=123° 49' 03". 90 (8) 

difEerence=B= 34 56 02 .10 (9)

Check.

log a =4. 3666779

A=123° 49' 03". 90 a. c. log sin A=0. 0804971 

B= 34 56 02 .10 log sin B=9. 7578749 

C= 21 14 54 . 00 log sin 0=9. 5592012

Sum =180 00 00 .00 log c =4.0063762 

log b =4. 2050499

THREE-tfOINT PROBLEM.

If three points, forming a triangle of which the sides and angles are 

known or can be computed, be visible from a fourth point, P, it is 

required to determine the position of P.

Set up the theodolite at P and measure the two angles subtended by 

any two of the given sides.

This problem is of use in cases where, the regular triangulation having been completed, additional points are required for the topographic 

survey, or are needed for special service. The angles should be carefully measured, and in the computations the logarithms should be carried to seven places of decimals.

Three cases of its application are given, as in others, such as when 

P falls upon one or another of the sides of the known triangle, or on 

the prolongation of either, the case resolves itself into the solution of 

a simple triangle with one sid6 and the angles given; or the problem is 

indeterminate, as when P is situated on the circumference of the circle 

passing through the three known points a contingencj7 which rarely 

occurs.
14 GEOGRAPHIC TABLES AND FORMULAS.

Example for each of the three cases.

[BULL. 234.

Given the side a=11204.5 

Given the side b= 7289.0 

Given the side c= 6273.8 

Given the angle A=111° 10' 54"

Angle observed A P C=PX 

Angle observed A P B=P// 

To find A B P=a; 

To find A C P =y

FIG. 4. Three-point problem; computation.

50° 06' 12" 

43° 50' 38"

S.... 180°-£(A+P'+P") 

S.... 77° 26' 08"

c sin P'

P'....... 49° 47'-20"

P"...... 44° 09' 30"

S........ 8° 37' 02"

tanZ=6sinP" . c -^" yi 

y = S E, but if tan e be negative, then x = S e,

P'... 104° 00' 00" 

P" .. 100° 20' 00" 

S.... 1SO°-£(A-|-P'+P") 

S.... 22° 14' 33"

tan e=cot (Z+45°) tan S

logc........... 3.7975307

log sin P' ...... <>. 8849100

colog b ........ 6.1373320

colog sin P".... 0.1594574

log tan Z ...... 9.9792301

Z... 43° 37' 49".6 

log cot (Z+45°) 8. 3785397 

log tan S....... 0.6519386

log tan £..,.... 9.0304783

£.... 6° 07' 21".7 

S.... 77° 26' 08".0

x.... 83° 33' 29".7 

y.... 71° 18' 46".3 

Hence,

PAB..... 52° 35' 52".3 

PAG..... 58° 35' 01".7

Computation.

logc........... 3.7975397

log sin P'...... 9.8839061

colog b......... 6.1373320

colog sin P".... 0.1569894

log tan Z ...... 9. 9747583

Z... 43° 20' 09".2

log cot (Z+45°) 8. 4631818

log tan S....... 9.1805366

log tan e....... 7.6437184

e..... 0° 15' 08".l 

S..... 8° 37' 02".0

x..... 8° 52' 10". 1

y..... .8° 21' 53".9

Hence, 

PAB.... 126° 58' 19".9

PAC.... 121° 50' 46". 1

logc........... 3.7975307

log sin P'...... 9.9869041

colog b......... 6.1373320

colog sin P".... 0.0071016

log tan Z ...... 9. 9288684

Z... 40° 19' 43".3

log cot (Z+45°) 8.9122794

log tan S....... 9.6116787

log tan e....... 8.5239581

s... 1° 54' 50".04 

S... 22° 14' 33".00

 x... 24° 09' 23".00 

y... 20° 19' 43".00 

Hence,

PAB.... 55° 30' 37".00 

PAC.... 55° 40' 17".00
GANNETT.] SOLUTION OF TBIAJSTGLES. 15

As all the angles and a side in each triangle are now known, the 

other sides, or the distances from P to the three given points, can be 

readily computed.

P B ............. 71.94. 87

P A ............. 8999.89

PC ............. 8107.98

PA ............. 8999. 89

PB ............. 7194.94

]? A............. 1388.54

PC ............. 8107.91

PA............. 1388.54

PB............. 5256.29

PA............. 2609. 75

PC............. 6203. 63

PA............. 2609.75

The results are verified when both triangles give the same value for 

the line PA.

GRAPHIC SCXLTJTIOK OF THE THREE-POINT PROBLEM.

1. When new point is within the triangle formed by the three 

points, point sought is within the triangle of error.

2. When new point is on or near the circle passing through the 

other points, the location is uncertain.

3. When new point is within either of the three shaded segments of. 

the circle (see diagram below), orient on middle point; then the line 

from middle point lies between true point and point of intersection 

of lines from other two points.

4. When new point is without the circle, orient on most distant 

point; then the point sought is always on the same side of the line 

from most distant point as the point of intersection of the other two 

lines.

NOTE. Since a location can be made from any three points, whether 

correctly plotted or not. therefore always check such locations by 

means of a fourth point if possible.

FIG. 5. Three-point problem; graphic solution.
16 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

METHOD OF FIXING A MERIDIAN AT ANY TIME BY HOUR

ANGLE.

[Extracted from United States Land Survey Manual.]

The annexed diagram (fig. 6) will show in their proper relation the 

various aspects of Polaris in its daily apparent motion around the 

north-polar point. 

This must be carefully studied, as the illustration of Table 1, for 

finding at any hour the hour angle and azimuth of Polaris, and the 

resulting meridian, at times when more direct methods are not available.

Hour angle of Polaris. In fig. 6 the full vertical line represents a 

portion of the meridian passing through the zenith Z (the point 

directly overhead), and intersecting the northern horizon at the north 

point N, from which, for survejdng purposes, the azimuths of Polaris

W.elong.5 55 . elong.

FIG. 6. Aspects of Polaris.

are reckoned east or west. The meridian is pointed out by the plumb 

line when it is in the same plane with the eye of the observer and 

Polaris on the meridian, and a visual representation is also seen in the 

vertical wire of the transit, when it covers the star on the meridian. 

When Polaris crosses the meridian it is said to culminate; above the
GANNETT.] SOLUTION OF TBIANGLES. 17

pole (at S), the passage is galled the upper culmination, in contradistinction to the lower culmination (at S').

 In the diagram Avhich the surveyor may better understand by holding it up perpendicular to the line of sight when he looks toward the 

pole Polaris is supposed to be on the meridian, where it will be 

about noon on April 10 of each year. The star appears to revolve 

around the pole, in the direction of the arrows, once in every 23h 56"M 

of mean solar time; it consequently comes to and crosses the meridian, 

or culminates, nearly four liiinutes earlier each successive day. The 

apparent motion of the starj being uniform, one quarter of the circle 

will (omitting fractions) be described in 5U 59'", one half in llh 58"', and 

three quarters in 17h 57m. For the positions S15 S2 , S3 , etc., the angles 

SPs15 SPs2 , SPs3 , etc., are called hour angles of Polaris, for the instant 

the star is at sn S2 , or s3 , etc., and they are measured by the arcs Ss19 

Ss,,, Ss3 , etc., expressed (in ijhese instructions) in mean solar (common 

clock) time, and are always counted from the upper meridian (at S), to 

the west, around the circle fjroin O h O m to 23n 56'". 1, and may have any 

value between the limits named. The hour angles, measured by the 

arcs Ssn Ss2 , Ss3 , Ss4 , Ss5 , ahd Ss6 , are approximately lh 8m , 5 h 55m, 

9" 4m, 14h 52"', 18h Ol 111 , and j22h 48m , respectively; their extent is also 

indicated graphically by broken fractional circles about the pole.

Suppose the star observed! at the point S3 ; the time it was at S (the 

time of upper culmination), 'taken from the time of observation, will 

leave the arc Ss3 , or the h^ur angle at the instant of observation; 

similar relations will obtain when the star is observed in any other 

position; therefore, in general:

Subtract the 'time of uppqr culmination from the correct local mean 

time of observation; the reniainder loill l)e the hour angle of Polaris 

expressed in time, or the " art/ument for Table 3"

The observation may be mkde at any instant when Polaris is visible, 

the exact time being carefulliy noted.

Bull. 234 04 2
18 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABT7ES.

TABLE 1. Local mean (astronomical) time of the culminations and elongations of

Polaris in the year 190%.

[From Magnetic Declination Tables, U. S. Coast and Geodetic Survey. Computed for latitude 40° 

north and longitude 90° or 6 h west of Greenwich.]

Date.

1902 

January 1 .............

January 15 ............

March 1 ..............

March 15 .............

April 1 ...............

April 15 ..............

May 1..............: .

July 1 ................

July 15...............

August 1 ..............

October 1.............

November 1 ... ......

December 1. ..........

East elongation.

0 45.8

23 46. 6

22 39.5

21 44. 2

20 49.0

19 54.0

18 47.0

17 52.0

16 49. 1

15 54.2

14 47. 5

13 52.6

12 50. 0

11 55. 1

10 48. 6

9 53.7

8 47.1

7 52.2

6 49.3

5 54.3

4 47.5

3 52.3

.2 49. 3

1 54.0

Upper culmination.

6 40.6

5 45.3

4 38.2

3 42.9

2 47.7

1 52.7

0 45.6

23 46.7

22 43. 8

21 48. 9

20 42.3

19 47.4

18 44. 8

17 49. 9

16 43.4

15 48.5

14 41. 9

13 47.0

12 44. 1

11 49. 1

10 42. 3

9 47.1

8 44.1

7 48.8

West elongation.

12 35.3

11 40. 0

10 32. 9

9 37. 7

8 42.4

7 47.3

6 40.3

5 45.3

4 42.5

3 47.6

2 40.9

1 46.0

0 43.4

23 44.6

22 38. 0

21 43. 1

20 36.5

19 41.6

18 38.7

17 43. 7

16 36.9

15 41. 8

14 38.8

13 43. 6

Lower culmination.

18 38.7

17 43.4

16 36.3

15 41. 0

14 45.8

13 50. 7

12 43.7

11 48. 6

10 45. 7

9 50.8

8 44.2

7 49.3

6 46.7

5 51.8

4 45.3

3 50.4

2 43.8

1 48.9

0 46.0

23 47. 2

22 40. 4

21 45. 2

20 42.2

19 46.9

A. To refw the above tabular quantities to years subsequent to 1902.

For year 1903 add

(add 

1904J,

1. 4 minutes.

2

0 

. o

subtract 1.1

1905 add

1906 "

1907 |:

1908 "

1909 "

1910 "

0.2 

1.5 

2.9 

[4.2 

}0.3 

1.7 

3:0

up to March 1

on and after March 1

up to March 1

on and after March 1
GANNETT.] CULMINATION AND ELONGATION OF POLAEIS. 19

B. To refer to any calendar day otJier than the first and fifteenth of 

each month: SuBTRACTithe quantities below from the tabular quantity

for the PRECEDING DATE.

Day of month.

i

2- c|r 16

3 i 17

4 ' 18

5 19

6 20

7 . .21

8 '22

9 23.

10 ''24

11 ;25

12 26

13 \il

14 28

49

30

3tL

Minutes.

3.9

7.9

11.8

15.8

19.7

23.6

27.6 -

31.5

35.5

39.4

43.3

47.3

51.2'

55.2

59.1

63.0

Number of 

. clays 

elapsed.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

C. To refer the table to Standard time and to the civil or common 

method of reckoning:

(a) ADD to the tabular quantities four minutes for every degree of 

longitude the place is west1 of the standard meridian, and SUBTRACT 

when the place is east of th0 standard meridian.

(b] The astronomical day b,egins twelve hours after the civil day, i. e., 

begins at noon on the civil day of the same date, and is reckoned from 

0 to 24 hours. Consequently an astronomical time less than twelve 

hours refers to the same civil day. whereas an astronomical time greater 

than twelve hours refers to tihe morning of the next civil day.

It will be noticed that for: the tabular year two eastern elongations 

occur on January 12 and two western elongations on July 12. There 

are also two upper culminations on April 12 and two lower culminations on October 12. The lo,wer culmination either follows or precedes the. upper culmination t>y llh 58m.l.

D. To refer to any othw thtin the tabular latitude between the limits 

of 25° and 50° north: ADD to the time of west elongation Om.13 for 

every degree south of 40°, and SUBTRACT from the time of west elongation Om.18 for every degree north of 40°. Reverse these operations 

for correcting times of east elbngation,
20 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

E. To refer to any other than the tabular longitiide: ADD Om. 1-6 for 

each 15° east of the ninetieth meridian, and SUBTRACT Om.16 for each 

15° west of the ninetieth meridian.

A few examples will illustrate the use of table 1.

1. Required the time of upper culmination of Polaris for a station in longitude 90° 

west, for March 3, 1904.

 h. m. 

Astron. time, U. C. of Polaris, 1904, March 1 .......................... 2 46. 6

Eeduction for two days, 7m.9 (B) (subtract)................ 1........... 7. 9

Local mean time U. C. of Polaris, 1904, March 3 ................. 2 38. 7

The required time may also be obtained by using the table in the 

opposite direction, i. e., by taking the timexfor March 15, and adding 

the reduction as follows:

h. m.

Astron. time "U. C. of Polaris, 1904, March 15 ..........'................ 1 51. 6

Reduction for twelve clays, add........................................ 47. 3

Local mean time U. C. of Polaris, 1904, March 3.................. 2 38. 9

In this case the two results are practically identical. If the computation is made both ways, the results will check each other. B has 

been inserted to save the surveyor the, little trouble of making the 

multiplications; thus, for the above example, in the table under B, 

opposite the third or seventeenth day of the month in the left hand 

column, will be found the correction 7m.9.

Computing from a preceding date, for days between April 11 and 

15 of any year, the reduction in B will be greater than the tabulated 

time of culmination, in which case 23h 56m.l will be added, to make 

the subtraction possible.

2. Required, for a station in longitude 90° west, the time of U. C. of Polaris for

April 14, 1906:

h. m.

Astron. time, U. C. of Polaris, 1906, April 1 ........................... 0 47.1

Add...;......-.........................................._........... 23 56.1

Sum........................................................... 24 43.2

Reduction to April 14, subtract.. 1..................................... 51. 2

Local mean time 'U. C. of Polaris, April 14....................... 23 52. 0

Working from a following date, for days between 9th and 15th of

April, the sum will exceed 23'h 56m.l, and when this occurs subtract

23h 56"M from the sum, and the-remainder Avill be the required time.

3. Required, for a station in longitude 90° west, the time of U. C. of Polaris for

April 10, 1904.

h. m.

Astron. time, U. C. of Polaris, 1904, April 15........................... 23 45. 6

Reduction for five days, add . 4 ........................................ 19. 7

Sum........................................................... 24 05.3

Subtract...... ..__..........--..----.-----.---.-.-------------------- 23 56.1

Local mean time, U. C. of Polaris, 1904, April 10................. 0 09. 2

For further application of table 1 see pp. 26 and 27.
GANNETT.] AZIMUTH OF POLAEJIS WHEN.AT ELONGATION. 21 

TABLE 2. Azimuth of Polaris when at elongation for any year between 190% and 1910. 

Latitude.

25°

26

27

28

29

. 30

31

32

33

34 

35

30

37

38

39

40 '

41

42

43

44

45

46

47

48

49

50

1902. 0

O '

1 20. 5

21. 1

21. 9

22.0

23.4

24.2

25.1

26.0

27.0

28.0

29.0

30.1

31.3

32.0

33.9.

35.2

30.7

38.2

39.8

41.4

43.2

45.0

46.9

49.0

51.2

1 53. 5

1903. 0

o / 

1 20. 1

20.8

21.5

22. 2

23.0

23.9

24.7

25.0

26.6

27.0

28.7

29.8

30.9

32. 2

33.5

34.8

30.2

37.7

39.3

41. 0

42.7

44. 6

46.5

48.6

60.7

1 53.0

1904.0

o / 

1 19. 8

20.5

21. 2

.21.9

22.7

23.5

24. 4

25.3

26.2

27.2

28.3

29.4

30.5

31.8

33.1

34.4

35.8

37.3

38.9

40.5

42.3

44.2

40.0

48.1

50.2

1 52. 5

1.905.; 0

o / 

1 19 4

20 1

20 8

21 0

22 4

231 1

24iO

 24l 9

25'. 9

20; 9

27.9

29l 0

30.1

3ll 4

32.7

34.0

35'. 4

36. 9

38'. 5

40|. 1

41. S

43'. 7

45j. 0

47;. 7

49,. 8

i nio

1906. 0

o / 

1 19. 1

19.8

20.5

21.3

22.1

22.8

23.0

24.5

25. 5

26.5

27.5

28.0

29.7

31.0

32.3

33.0

35.0

30.5

33.1

39.7

41.4

43.2

45.1

47.2

49.3

1 51. 5

1907.0 .

o / 

1 18.7

19. 4

20. 1

20.9

21.7

22.4

23.2

24.1

25.1

20.1

27.1

28.2

29.3

30.0

31.8

33.2

34.0

36.0

37.6

39.2

40.9

42.7

44.6

46.7

48.8

1 51.0

1908. 0

o, / 

1 18.4

19. 1

19.8

23.5

21.3

22.1

22.9

23.8

24.7

25.7

26.8

27.9

29.0

30.2

; 31. 4

32.8

34.2

35.6

37.2

38.8

40.5

42.3

44.2

46. 3

48.4

1 50.0

1909. 0

o /

1 18. 1

18.7

19.4

20.1

20.9

21.7

22.5

' 23. 4

24.3

25.3

20.4

27.5

28.6

29.8

31.0

32.4

33.8

35.2

36.8

38.4

40. 1

41.9

43.7

45.8

47.9

1 50. 1

1910. 0

o / 

1 17.7

18.4

19.1

19.8

20.5

21.3

' 22.2

23.1

24.0

25.0

26.0

27.1

28.2

29.4

30.0

32.0

33.4

 34.8

36.3

37.9

39.6.

41.4

43.3

45.3

47. 4

1 49. 6

The above table was computed with mean declination of Polaris for 

each year. A more accurate result will be had by applying, to the 

tabular values the following correction, which depends on the difference 

of the mean and the apparent place of the star. The deduced azimuth 

will in general be correct within 0'.3.

For middle of 

January ................

February ...............

March .................

April... ................

May ...................

Correijtion.

. -6.X 4

-6.3

A 0 rz

6.0

4-h 9

+M

For middle of 

July ....................

August .................

September. .............

October ................

Correction.

/ 

+0. 3

+0.1

-0.1

-0. 3

 0.6

-0.8
22 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 3. Azimuths of Polaris

[From TJ. S. Land Survey Manual. The hour angles are expressed in mean solar time. The occurrence

STAR AND AZIMUTH.

W. of N. when hour angle is less than 11'' 58m . 

E. of N. when hour angle is greater than llh.58m .

Time argument, the star's hour angle (or 23h 56m .l 

minus the star's hour angle), for the year 

Hours.

h. 

0

1

2

8

4

5

S

05

in. 

0 

5 

9. 

14.

19 

24 

 28. 

33. 

38.

43 

48 

53 

58

3

7. 

13 

18 

23 

28

33.

38. 

44 

49 

54.

0 

6 

11. 

17 

23

29 

35 

41. 

48 

54.

1. 

8. 

16 

23. 

31.

39. 

48.

58

8 

19.

32 

46.

5 

40.

»

.0 

o 

cs

m. 

0 

5 

9. 

14.

19 

24 

29 

33. 

38.

43. 

48 

53 

58

3

8 

13 

18 

23.

28.

33. 

39 

44. 

50 

55

0. 

6. 

12 

18 

24

30 

36 

42. 

49 

55.

2. 

10 

17 

25 

33

41

50 

59.

10 

22

34. 

50

10

«o

0

ci

in. 

0 

5 

9. 

14.

19 

24 

29 

34 

38.

43.

48. 

53. 

58.

3.

8. 

13. 

18. 

23. 

29

34 

39. 

45 

50. 

65.

1. 

7 

12. 

18. 

24.

30. 

37 

43. 

50 

56.

3. 

11 

18. 

26 

34.

43 

52

1.

12. 

24

37. 

53.

16

i>

o o>

m. 

0 

5 

9. 

14.

19, 

24 

29 

' 34 

39

44 

48. 

53. 

58.

3.

8. 

14 

19 

24 

29.

34. 

40 

45. 

51 

56.

2 

7. 

13. 

19. 

25.

--31. 

38 

44. 

51 

57.

4. 

12 

19. 

27. 

35.

44. 

53.

3. 

14. 

26.

40. 

57.

23.

00 o 

O5

m. 

0 

5 

9.

14.

19. 

24. 

29 

34 

39

44 

49 

54 

59

4

9 

14 

19. 

24. 

29.

35 

40. 

46 

51.

57

2. 

8. 

14 

20 

26

32. 

38. 

45 

52 

58.

6 

13 

21 

29 

37

46 

55

5. 

16. 

29

43.

2

32

§

o

m. 

0 

5 

10 

14.

19. 

24. 

29. 

34. 

39

44 

49 

54 

59

4.

9. 

14. 

19. 

25 

30

35. 

41 

46. 

52

57.

3 

9 

15 

21

27

33 

39. 

46 

53 

59.

7 

14. 

22 

30. 

38.

47.

57

7. 

19 

32

46.

6. 

42.

O 1-1 ®

m.' 

0 

5 

10 

14.

19. 

24. 

29. 

 34. 

39.

 44. 

49. 

54. 

59.

4.

9. 

15 

20 

25. 

30.

36 

41. 

47 

52.

58

4 

9. 

15. 

21.

28

34 

40. 

47 

54

1

8 

15. 

23. 

31. 

40.

49. '59

9. 

21 

34.

50

ll

rH r-l 

. C5

in. 

0 

5 

10 

15

19. 

24. 

29. 

34. 

39.

44. 

49. 

54.

 o°

5

10 

15 

20. 

26 

31

36. 

42

47. 

53 

68.

4. 

10. 

16. 

22. 

28.

35

41. 

48 

55

2

9 

17 

25 

33 

42

5]. POII.

23! 

37.

53.

16.

POLARIS above THE POLE.

To determine the true meridian, the azimuth will be laid off to the east when the 

hour angle is less than llh 58m , and to the 

west when- greater than llh 58m .

Azimuths for latitude 

o

30

0 

2 

3. 

5.

7 

9 

10. 

12. 

14

16 

17. 

19. 

21. 

23

25 

27 

28. 

30. 

32

33. 

35. 

37 

39 

40.

42. 

44 

46 

47. 

49.

51 

53 54.' 

56.

58

60 

61. 

63. 

65 

67

69 

70. 

72. 

74

76

77. 

79. 

81 

83

o 

32

i

0 

2 

3. 

5.

7 

9 

11 

12. 

14.

16 

18 

20 

21. 

23.

25. 

27 

29 

31 

32.

34. 

36 

38 

39. 

41.

43 

45 

47 

48. 

50.

52 

54 

56 

57. 

59.

61. 

63 

65 

66. 

68.

70. 

72 

74 

76

77.

79. 

81. 

83 

85

o 

34

0 

2 

3. 

5.

7. 

9 

11 

13 

14.

16, 

18. 

20. 

22 

24

26 

27. 

29. 

31. 

33

35 

37 

38. 

40.

42.

44 

46 

48 

49. 

51.

53. 

55. 

57 

59 

61

63 

64. 

66. 

68. 

70

72 

74 

76 

77. 

79.

81. 

83

85 

87

o 

36

/ 

0 

2 

4 

5.

7. 

9. 

11. 

13 

15

17. 

19 

21 

22. 

24.

26. 

28. 

30 

32 

34

36 

38 

39. 

41. 

43.

45. 

47 

49 

51 

53

55 

56. 

58. "60" 

62.

64.

66 

68 

70

72

74 

75. 

77. 

79. 

81.

83. 

85 

87 

89

o 

38

i

0 

2 

4 

6

8 

9. 

11. 

13. 

15.

17. 

19. 

21. 

23. 

25

27 

29 

31 

33 

35

37 

39 

40. 

42. 

44.

46. 

48. 

50. 

52. 

54.

56. 

58. 

60 

62 

64

66 

68 

70

72 

74

76 

77. 

79. 

81. 

83.

85. 

87. 

89. 

91.

o 

40

/ 

0 

2 

4 

6

8 

10 

12 

14 

16

18 

20 

22 

24 

26

28 

30 

32 

34 

36

38 

40 

42 

44 

46

48 

50 

52 

54 

56

58

60 

62 

64 

66

68 

70 

72 

74 

76

78 

80 

82 

84 

86

68 

90 

92 

94

0

42

/ 

0 2 

4 

6

8. 

10. 

12. 

14. 

16.

18. 

20. 

22. 

25 

27

29 

31 

33 

35 

37

39. 

41. 

43. 

45.

47.

49. 

51, 

53. 

56

58

60 

62 

64 

66 

68

70 

72 

74, 

76.

78.

80. 

82. 

84. 

86. 

88.

90. 

93 

95 

97

o 

44

/ 

0 

2

4. 

6.

8.

m

13 

15 

17

19. 

21. 

23.

26 

28

30 

32 

34. 

36. 

38.

41 

43

45 

47 

49

51. 

53. 

55. 

57. 

W

62 

64 

66 

68. 

70.

72. 

74, 

77 

79 

81

83 

85. 

87. 

89. 

91.

94 

96 

98 

100

o 

4fi

i

0 

2 

4. 

6.

9 

11 

13. 

15. 

18

20 

22. 

24. 

27 

29

31. 

33. 

36 

38 

40

42. 

44. 

46. 

49 

51

53. 

55. 

57. -60" 

62

64. 

66. 

68. 

71 

73.

75 

77. 

79. 

82 

84

86 

88. 

90. 

92. 

95

97 

99. 

101. 

103.

o

48

0 

2. 

4.

7

9 

11. 

14 

16 

18.

21 

23 

25. 

28 

30

32. 

35 

37. 

39.

42

44 

46. 

48. 

51 

53

55. 

57. "eo"

62 

64,

66. 

69 

71.

73. 

76

78 

80. 

82. 

85 

87

89. 

91. 

94 

96 

98.

101 

103 

105. 

107.

o 

50

/

0 

2. 

5 

7

9. 

12 

14. 

17 

19

21. 

24 

26. 

29 

31.

34 

36. 

39 

41, 

43.

46 

48. 

50. 

53 

55

57. "W 

62. 

64. 

67

69. 

72 

74. 

76. 

79

81.

84

860

88? 

91

93. 

95. 

98 

100. 

103

105 

107. 

110 

112
GANNETT.] AZIMUTHS OF POLARIS. 23

for the use of surveyors.

of a period after minutes of time or of an hour angle indicates that i ts value is Om .5 greater than printed.]

. STATC AND AZIMUTH.

W. of N. when hour angle is lass than ll'> 58V. 

E. of N. when hour angle is cjreater than llh| 58m .

Time argument, the star's hour angle (or23'j56m .l 

minus the star's hour angle), for the year 

Hours.

h.

(i

7

8

«

10

11

**

o

Ci

m. 

9. 

45

1 

18.

31.

42. 

53

 2. 

11.

20 

28 

36 

43. 

50.

57.

4. 

11 

17. 

24

30 

30 

42

48 

54

59.

5 

10. 

16 

21.

27 

32 

37. 

42. 

48

53

58

3 

8. 

13.

18. 

23. 

28. 

33. 

38.

43. 

48 

53 

58

iffl

O 

C5

7ft.

40.

6.

16

29 

40. 

51.

1 

10

18. 

27 

35 

42. 

49.

50.

3. 

10. 

17 

23

29. 

35. 

41. 

47. 

53

59

4. 

10 

15. 

21

20. 

32 

37 

42.

47.

52.

58

3 

8 

13

18 

23 

28. 

33 

38

43 

48 

53

58

o

o

Si

m. 

34 

56.

13

26. 

38. 

49. 

59.

8.

^17. 

25. 

33. 

41.

48.

55.

2. 

9. 

1C 

22.

28. 

35 

41 

47 

52.

58.

4 

9. 

15 

20.

26 

31. 

30. 

42 

47.

52. 

67.

2. 

8 

13

18 

23 

28 

33 

38

43 

48 

53 

58

l-»

O

C5

7ft.

27 

52.

10

24 

36. 

47. 

57.

7

16 

24. 

32. 

40 

47.

54.

1. 

8. 

15 

21.

28 

34 

40 

46 

52

57.

3. 

9 

14. 

20

25. 

31 

30. 

41.

47

52 

57.

2. 

7. 

12.

18 

23 

28 

33 

38

43 

48 

53 

58

QDo

C5

7ft.

18 

48.

7

21. 

34. 

45. 

56

5.

14. 

23 

31 

39 

46.

53.

1 

7. 

14. 

20.

27 

33. 

39. 

45. 

51.

57

3 

8. 

14 

19.

25 

30. 

36 

41. 

46.

52 

57

2 

7 

12.

17. 

22. 

28 

33 

38

43 

48 

53 

58

05 

O 

0

7/1.

8 

44

4

19 

32 

43. 

644^

13 

21. 

30 38- 

45.

52.

0 

0. 

13. 

20

20. 

32. 

38. 

45 

51

50.

2. 

8 

13. 

19.

25 

30 

35. 

41 

. 46.

51. 

57

2 

7 

12.

17. 

22. 

27. 

33 

38

43 

48 

53 

58

o; i~>, »!

; mimm^ ml 

39<n

1 i:

it

20.

44.

51.

~T59;

12 191

25'. 

32|

38| 

441 50'

56|

21 

7.' 

131 

19 j

24. 

30 

35 

40J 40 :

51

56.|

1. 

7 

12 1

. 17. 

22. 27. ! 

32. 

38

43 

48 

53

58

FH

0

7ft.

34 

57

13 

27 

39. 

50.

1

 10 

19 

27. 

35. 

43

50. 

58

 T

11. 

18

. 24. 

31 

37. 

43. 

49.

55.

1. 

7 

12. 

18.

24 

29. 

35 

40

45.

51 

56

1. 

6. 

12

17 

22 

27. 

32. 

37.

43 

48 

53

58

POLARIS below THE POLE.

To determine the true meridian, the azimuth will be laid off to the east when the 

hour angle is less than llh 58 , and to the 

west when greater than llh 58m .

Azimuths for latitude 

O

30

83 

81. 

79.

78

76 

74. 

72. 

71 

69

67. 

65. 

61 

62 

00.

58. 

57 

55 

63. 

51.

49. 

48 

40 

44. 

42.

41 

39 

37. 

35. 

34

32 

30 

28. 

20. 

25

23 

21. 

19. 

18 

16

14 

12. 

10. 

9 7'

5. 

3. 

2 

0

o 

82

i 

85 

83 

81. 

79.

77. 

70 

74 

72. 

70.

08. 

07 

05 

03. 

01.

59. 

58 

50 

54. 

52.

50. 

49 

47 

45. 

43.

41. 

40 

38 

30 

34.

32. 

31 

29 

27 

25.

23. 

22 

20 

18 

1C.

14. 

12. 

11 

9

7

5. 

3. '2 

0

o 

34

87 

85 

83 

81.

79. 

77. 

70 

74

72

70. 

08. 

CO. 

04. 

03

Ifr

57. 

55. 

53.

52 

50 

48 

40. 

44.

42. 

40. 

39 

37 

35

33. 

31. 

29.

28 

26

24 

22 

20. 

18. 

16.

35 

13 

11 

9

7.

5. 

3. 

2 

0

0

36

89 

87 

85 

83.

81. 

79. 

77. 

70 

74

72 

70 

08 

00. 

64.

i

f>2. 

CO. *5T 

57 

55

53 

51 

49. 

47. 

45.

43. 

41. 

40 

38 

30

34 

32 

30. 

28. 

26.

24. 

22. 

21 

19 

17

15 

13. 

11. 

9.

7.

5. 

4 

2 

0

0

38

91. 

89. 

87.

85.

83. 

81. 

79.

77. 

75.

74 

72 

70 

68 

66

64 

62. 

00. -5T

56.

54. 

52. 

50. 

48. 

46.

44. 

43 

41 

39 

37

35 

33 

31 

29

27

25. 

23 

21. 

19. 

17.

15. 

13. 

11. 

9.

8

6 

4 

2 

0

o 

40

94 

92 

90

88

86 

84 

82 

80 

78

76 

74 

72 

70 

68

60 

04 

02 

CO68'

56 

54 

52 

50 

48

46 

44 

42 

40 

38

36 

34 

32 

30

28

20 

24 

22 

20

18

16 

14 

12 

10 

8

6 

4 

2 

0

o 

42

97 

95 

93 

90.

88. 

86. 

84. 

82. 

80.

78. 

76. 

74. 

72 

70

08 

06 

64 

62 

00

'68 

55. 

53. 

51. 

49.

47. 

45. 

43. 

41 

39

37 

35 

33 

31 

29

27 

25 

22. 

20. 

18.

10. 

14. 

12. 

10.

8

6 

4 

2 

0

o 

44

/ 

100 

98 

90 

93.

91. 

89.

87. 

85. 

83

81 

79 

77 

74. 

72.

70. 

68 

66 

64 

62

59.

57. 

55. 

53. 

51

49 

47 

45 

42. 

40.

38:

36 

34 

32 

30

27. 

25. 

23. 

21. 

19

17 

15 

12. 

10.

8.

6. 

4 

2 

0

0

4fi

103. 

101. 

99. 

97

95 

92. 

90. 

88. 

86

84 

8L. 

79.

77. 

75

73 

70. 

68. 

66 

64

62

i>9. 

57. 

55 

53

50. 

48. 

46. 

44 

42

39. 

37. 

35. 

33 

31

28. 

26. 

24 

22 

20

17. 

15. 

13 

11 

9

6. 

4. 

2 

0

o

48

107. 

105. 

103 

100.

98. 

96 

94 

91. 

89

87 

84. 

82. 

80 

78

75. 

73 

71 

68. 

66.

64 

01. T9-

57 

55

52. 

48' 50 

45. 

43.

41 

39 

30. 

34 

32

29. 

27. 

25 

23 

20.

18 

10 

13. 

11. 

9

7 

4. 

2. 

.0

0

50

112 

109. 

107 

104.

102 

100 

97. 

95 

92.

90

88 

85. 

83 

80.

78. 

70 

73. 

71 

68.

00. 

64 

61. T9" 

57

54. 

52 

49 

47. 

45

42. 

40 

38 

35. 

33

31 

28. 

26 

23. 

21.

19 

16. 

14 

12 

9.

7 

4. 

2. 

0
24 "GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

Table 3 gives for various hour angles, expressed in mean solar time 

and for even degrees of latitude from 30 to 50 degrees, the azimuths 

of Polaris for eight years, computed for average values of the north 

polar distance of the star, the arguments being the hour angle (or 23h 

56m.l minus the hour angle when the latter exceeds llh 58m), which 

is termed the time argument, a and the latitude of the place of observation. The table is so extended that azimuths may be taken, out by 

inspection and all interpolation avoided, except such as can be performed mentally.

The hours of the "time arguments " are placed in the columns headed 

"hours," on the left of each page. The minutes of the time arguments will be found in the columns marked "m," under the years for 

which they are computed, and the}^ are included between the same 

heavy zigzag lines which inclose the hours to which they belong.

The time arguments are given to the nearest half minute; the occurrence of a period after the minutes of any one of them indicates that 

its value is Om.5 greater than printed, the table being so arranged 

to economize space.

The table will be used as follows: Find the hours of the time argument in the left-hand column of either page; then, between the heavy 

lines which inclose the hours, find the minutes in the column marked 

at the top with the current year. On the same horizontal line with 

the minutes the azimuth will be found under the given latitude, which 

is marked at the top of the right-hand half of each page. Thus, for 

1904, time argument Oh 43m , latitude 36°, find Oh on left-hand page, 

and under 1904 find 43m on tenth line from the top, and on same line 

with the minutes, under latitude 36°, is the azimuth 0° 17'. For 1908, 

time argument 9h 33im , latitude 48°, the azimuth is 1° ! £', .found on the 

twenty-first line from the top of right-hand page.

If the exact time argument is not found in the table, the azimuth 

should be proportioned to the difference between the given and tabular values of said argument.

The table has been arranged to give the azimuths by simple inspection. No written arithmetical work is required, all being performed 

mentally. It will always be sufficient to take the nearest whole degree 

of latitude and use it as above directed, except for a few values near 

the top of either page where the difference of azimuths for 2° difference of latitude amounts to four or five minutes of arc.

«The vertical diameter SS', fig. 6, divides the apparent path of Polaris into two equal parts, and for 

the star at any point so on the east side is a corresponding point Si on the west side of the meridian, 

for which azimuth Nw is equal to the azimuth Ne. The arc, SS] S'So, taken from the entire circle Tor 

23h 56m.l), leaves the arc Ss0 , and its equal Ssi, expressed in time, may be used to find, from table 3, 

the azimuth Nw, which is equal to Ne.

The hour angles entered in table 3 include only those of the west half of the circle ending at S, 

and when an hour angle greater than llh 58m results from observation it will be subtracted from 23h 

56m .l, and the remainder will be used as the " time argument" for the table. The surveyor should 

not confound these two quantities. The hour angle itself always decides the direction of the azimuth 

and defines the place of the star with reference to the pole and meridian, as noted at top of table 3. 

See examples.
GANNETT.] AZIMUTHS OF POLAEIS. '25

The attention of the observer is directed to the fact that he should 

always use one day of twenty-four hours as the unit when he subtracts 

the time of culmination from the time of observation. In any case 

when the time of upper culmination, taken from table 1, for the given 

date would be numerically greater than the astronomical time of 

observation, the former time will be taken out for a date one day 

earlier than the date of observation. The surveyor will decide when 

such condition exists by comparing the time given in the table Avith 

his astronomical time of observation. (See Example 4 and explana- 

' tions in footnotes, page 26.) . ~

The watch time to be used when making observations on Polaris at 

all times except elongation should be as accurate as can .be obtained. 

Looking at table 3 near top of page 22, the surveyor will observe 

that for a difference of four minutes in the time argument there is a 

change of about two minutes in azimuth; consequently, to obtain the 

azimuth to the nearest Avhole minute of arc, the local mean time, upon 

which all depends, should be known within two minutes. When the 

observer uses standard railroad time he will correct the same for the 

difference of longitude between his station and the standard meridian 

for Avhich the time is given at the rate of four minutes of time for 

each degree of the difference in arc. Thus, if the difference in longitude is 6° 45', the equivalent in time will be twenty-seven minutes. 

The difference of longitude may be taken from a good map. The correction will be subtracted from the standard railroad time of observation Avhen the surveyor's station is west, or added when east of the 

' standard meridian, as the case may require, to obtain local time. It is 

immaterial Avhere the surveyor obtains the standard time provided he 

gets it right, a result which Avill be gained most easily by a direct 

personal comparison at a telegraph office.

If the direction of the meridian is known Avith an error not greater 

than one-fourth of a degree, the local time can be obtaiiied to the 

nearest minute by observing the sun's transit by the folloAving method, 

suggested by Mr. H. L. Baldwin, jr.

. The transit being in meridian and carefully leveled, place the telescope so that it will point toward the sun at the time the latter comes 

to the meridian and allow the magnified image of the sun to fall upon 

a notebook or sheet of Avhite paper about 1 foot distant from eyepiece. 

The telescope should be slightly out of focus (lengthened) to get best 

results, the best focal position to be determined by trial. When the 

vertical cross Avire bisects the sun's image, note the time by watch. 

This Avill be the time of apparent noon. To get time of mean noon, 

correct the noted time by adding or subtracting the equation of time, 

taken from the Nautical Almanac "to reduce apparent noon to mean 

noon," or get this from an}^ almanac giving "sun fast" or."sun slow" 

time.
26 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

Example.

June 20, 1903. h. m. s. 

Watch time of sun's transit ..._...._._.........................__ ... 11 50 25

Equation of time................................................ +1 04

Local mean noon................................................... 11 51 29

Or watch slow ........... '. ..................................... 8 31

The error of observation should not exceed two or three seconds 

and the error resulting from incorrect meridian will be-approximately 

four seconds for each 1' error in meridian.

APPLICATIONS OF TABLES 1 AND 3.

1. Required the hour angle and azimuth of Polaris, for a station in latitude 46° 

N., longitude 90° W., at 8h 24m p. m., November 7, 1910.

h. m.

Astronomical time of observation, 1910, November 7.................... 8 24.0

Equivalent to time of November 6...................................... 32. 24. 0

* h. m.

Astron. time, U. C. Polaris, November 1 (table !).. 10 45. U 

Reduction to November 6« (B), subtract............ 619. 7

Astron. time, U. C. Polaris, November 6........... 10 ,25. 6, subtract. CIQ 25. 8

Hour angle of Polaris, at observation .................................. 21 58. 4

Subtract from ........................................................ <*23 56.1

Time argument for table 3 ...................................... 1 57. 7

Azimuth of Polaris, at observation..................................... 0° 51' E.

2. Required the hour angle and azimuth of Polaris, for a station in latitude 41° 

12' N., longitude 94° W., at 6h 16"' a. m., November 19, 1904.

h. m.

Astronominal time of observation, 1904, November 18................... 18 16.0

h. m.

Astron. time, U. C. Polaris, November 15 (table 1).. 9 47.1 

Reduction to November 18, subtract............... 11. 8

Astron. time, U. C. Polaris, November 18.......... 9 35.3, subtract. 9 35.3

Hour angle of Polaris, at observation, and time argument for table 3..... «8 40. 7 

Azimuth of Polaris, at observation (table 3), 72' or................... /1° 12' W.

The following four examples illustrate any difficulties in the use of 

tables 1 and 3:

«By reference to the above table, the surveyor will observe that the times, between November 1. 

and 15, are greater than 8h 24m ; consequently, the culmination for one day earlier, November C, will 

be used. 

&From table 1, opposite sixth day of month.

c To subtract, take one day from November 7, and add its equivalent, 24h , to8h 24m , making, November 6, 321" 24m (which is the time expressed by November 7,8h 24 ); then subtract in the usual manner.

dSee last clause of footnote, page 24.

«In case the hour angle comes out greater than llh 58m, subtract it from 23h 5Gm .l; see example 4, 

above.

/The hour angle being less than II1' 58m , the azimuth is west; see precepts, top of table 3.
GANNETT.] AZIMUTHS OF POLAEIS. 27

EVENING OBSERVATIONS.

1. February 20, 1904, at 7 h 42m.5 p. m., local mean time, Polaris is observed at a

station in southern California, latitude 36°, longitude 1.1.7°.

h. 111.

Time of observation ....................'.............................. 7 42. 5

From table 1, U. C. Polaris, February 1.5...................... 3 45. 7

Reduction to February 20..................................... 1.9. 7

 3 26.0

Time elapsed since preceding culmination........................ 4 1.6. 5

From table 3 corresponding azimuth is S0'.-5=l° 20X .5.

2. May 9,1.904, at 8h 56m .4 p. m., local mean time, Polaris is observed at a station in 

northeastern Minnesota, latitude 48° f longitude90°. The nearest culmination is that

of May 8.

h. m.

Time of observation May 9, 1.904, 8h 56"'.4, or May 8.................... 32 56. 4

h. in.

From table 1, U. C., May 1, 1904............................. 22 42.7

Reduction to May 8 .................,.........:............. 27. 6

 22 1.5.1

Time elapsed since preceding culmination........................ 1.0 41. 3

From table 3, corresponding azimuth is 34/.

MORNING OBSERVATIONS.

3. May 10, 1.904, at 5" 1.3m a. m., local mean time, or May 9, 17h 13m, astronomical 

time, Polaris is observed at a station in northeastern Minnesota, latitude 48°, 

longitude 90°.

 h. m.

Time of observation, May 9, 1.904......'. ............................... 1.7 13.0

h. in.

> '.From table 1, U. C., May 1. ................................. 22 42. 7

Reduction to May 9 .................................. i..... 31. 5

 22 1.1.2

Time to elapse to next following culmination..................... 4 58. 2

From table 3 corresponding azimuth is 1.04'.3=1° 44/.3

4. February 21,1904, at 5h 1.0"1 a. m., local mean time, Polaris is observed at a station 

in southern California, latitude 36°, longitude 117°. The nearest culmination is on

February 21.

h. m.

Time of observation, February 20....................................... 17 10. 0

li. in.

From table 1, U. C., February '.15.................. 3 45. 7

Reduction to February 20 ......................... 19. 7

3 26.0+23 56.1=27 22.1

Time to elapse to next following culmination..................... 1.0 1.2.1

From table 3, corresponding azimuth is 397 .3.» . t » t .. ...^
28 GEOGRAPHIC TABLES AND FORMULAS. [euLL.234.

TABLE 4. AZIMUTH AND APPARENT ALTITUDE OF POLARIS AT DIFFERENT HOUR ANGLES. 

[From U. S. Coast and Geodetic Survey Report for 1895.]

The accompanying tables are intended for field use, to facilitate 

placing an instrument in the meridian. They are also suitable for 

determining the approximate latitude or meridian. They contain the 

azimuth of Polaris at intervals of fifteen minutes in hour angle for 

each degree of north latitude from 30° to 60°, and the apparent altitude at the same intervals and for each fifth degree of latitude. a The 

tables are computed for the declination of Polaris 88° 46', but the rate 

of change in both azimuth and altitude is given with the argument 1' 

increase in declination. b The tables are intended to be used, in connection with the American Ephemeris, where are given the apparent 

right ascension and declination of Polaris for each clay in the year. 

The approximate local time will in general be known with sufficient 

accuracy from standard time and the approximate longitude of the 

place. The following example explains the use of the tables and the 

derivation of the hour angle of Polaris:

Position, latitude 36° 20' N., longitude 5h 20m 30s W. of Greenwich.

h. in. s.

Time of observation, July 10,1895, standard (75th mer.) mean time 8 52 40 p. m. 

Eeduction to local time 20 30

Local mean time 8 32 10

'Eeduction to sidereal time (Table III, Amer. Ephem.) + 1 24

Sidereal time mean noon, Greenwich, July 10,1895 7 12 38

Correction for longitude, 5h 20m 30s (Table III, Amer. Epheni.) + 0 53

Local sidereal time 15 47 05 

Apparent right ascension of Polaris, July 10,1895 1 20 18

Hour angle before upper culmination 9 33 13 

"The tahles were computed with the following formulas:

______ sin t ____ 

tan a = cos 9 tan 5~sih <p cos t' 

sin h = sin <p sin S + cos <p cos S cos t,

cos 8

cos ta=cot S tan 9;

where a = azimuth from true north, 

t = hour angle, 

9 =P latitude, 

S = declination, 

h = true altitude, 

na azimuth at elongation, 

ta hour angle at elongation. 

''As the corrections are given with proper sign for increase in declination over 88° 46', they are to 

'*gV wMl(* th<5 declination is less than 88° 46', as it will be until near the
GANNETT.] AZIMUTH AND ALTITUDE OF POLARIS. 29

Declination of table

Apparent declination, July 10, 1895

Increase in decimation

88 46

88 44 47 

___(___

- 1 13=-l'-2

Values from tables (interpolated) azimuth 0 54 12, apparent altitude 35 21.8 

Correction for 1'.2 increase in declination +52 1.0

0 55 04 

East of north

It is to be remembered that Polaris is east of the meridian for twelve 

hours before upper culmination, and west of the meridian for twelve 

hours after. By setting the instrument at the apparent altitude and 

sweeping near the meridian Polaris can ordinarily be found and the 

instrument placed in the meridian some time before dark. With 

transit instruments not provided with horizontal arc, the value of the 

azimuth adjusting screw may be readily determined and used.

Without the American Ephemeris these tables may be conveniently 

used for obtaining the approximate meridian or latitude, in connection 

with Bulletin 1-i, United States Coast and Geodetic Survey," where 

are given the approximate mean times of culminations of Polaris, and 

the mean declinations for various epochs.

a Approximate Times of Culminations and Elongations and of the Azimuths at Elongation of Polaris 

for the Years betvyeen 1889 and 1910. 

The mean places of Polaris are given as follows:

1895 .........................................

1900 .........................................

1905 .........................................

1910 ..........................................

-

h. m. s. 

1 20 30.08

1 22 33.76

1 24 42.48

1 26 50.58

5

o / //

88 44 52.08

88 48 00.31

88 49 33.61
30 GEOGEAPHIC TABLES AND FOEMULAS. [BULL. 234. 

TABLE 4. Azimuth and apparent altitude

Hour angle before 

or after upper 

culmination.

h: in.

0 15

0 30

0 45

1 00

1 15

1 30

1 45

2 00

2 15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

4 45

5 00

. 5 15

5 30

5 45

6 00

6 15

6 30

6 45

7 00

 7 15

7 30

. ' 7 45

8 00

8 15

8 30

8 45

9 00

9 15

9 30

9 45

10 00

10 15

10 30

10 45

11 00

11 15

11 30

11 45

Elongation :

Azimuth . . .

Hour angle.

Azimuth of Polaris computed for declination 88° 46'.

Latitude 30°.

O t II

0 05 40

0 11 18

0 16 53

0 22 23

0 27 48

0 33 05

0 38 13

0 43 12

0 47 58

0 52 32

0 56 52

1 00 58

1 04 47

1 08 19

1 11 33

1 14 28

1 17 04

1 19 19

1 21 14

1 22 48

1 24 00

1 24 51

1 25 20

1 25 27

1 25 12

1 24 34

1 23 36-

1 22 16

1 20 35

1 18 34

1 16 13

1 13 33

1 10 34

1 07 17

1 03 43

0 59 54

0 55 49

0 51 31

0 46 59

0 42 16

0 37 23

0 32 20

0 27 09

. 0 21 51

0 16 28

0 11 01

0 05 31

1 25 27

h.- m. s.

5 57 09

Latitude 31°.

0 / //

0 05 43

0 11 25

0 17 04.

0 22 38

0 28 06

0 33 26

0" 38 38

0 43 40

0 48 29

0 53 06

0 57 29

1 01 37

1 05 28

1 09 02

1 12 18

1 15 15

1 17 52

1 20 09

1 22 05

1 23 40

1 24 53

1 25 44

1 26 13

1 26 19

1 26 04

1 25 27

1 24 27

1 23 06

1 21 25

1 19 22

1 16 59

1 14 17 

1 11 16

1 07 57

1 04 22

1 00 30

0 56 23

0 52 01 '

0 47 27

0 42 42

0 37 45

0 32 39

0 27 25

0 22 04

0 16 38

0 11 08

0 05 34

1 26 20

h. m. s.

5 57 02

Latitude 32°.

O.I II

0 05 47

0 11 33

0 17 15

0 22 53

0 28 25

0 33 49

0 39 04

0 44 09

0 49 02

0 53 42

0 58 07

1 02 18

1 06 12

1 09 48

1 13 06

1 16 05

1 18 44

1 21 02

1 22 59

 1 24 35

1 25 48

1 26 40

1 27 09

1 27 15

1 26 59

1 26 21

1 25 21

1 23 59

1 22 16

1 20 12

1 17 48

1 15 04

1 12 01

1 08 40

1 05 02

1 01 07

0 56 58

0 52 34

0 47 57

0 43 08

0 38 08

0 32 59

0 27 42

0 22 18

0 16 48

0 11 14

0 05 38

1 27 16

h. m. s.

5 56 55

Latitude 33°.

O 1 . II

0 05 51

0 11 41

0 17 27

0 23 09

. 0 28 45

0 34 13

0 39 32

0 44 40

0 49 36

0 54 19

0 58 48

1 03 01

1 06 58

1 10 36

1 13 56

1 16 57

1 19 37

1 21 57

1 23 55

1 25 32

1 26 46

1 27 38

1 28 07

1 28 14

1 27 57

1 27 19

1 26 18-

1 24 55

1 23 10

1 21 05

1 18 39

1 15 53

1 12 48

1 09 25

1 05 44

1 01 47

0 57 34

0 53 08

0 48 28

0 43 36

0 38 33

0 33 20

0 28 00

0 22 32

0 16 59

0 11 22

0 05 42

1 28 14

h. m. s.

5 56 48

Latitude 34°.

0 / II

0 05 55

0 11 49

0 17 40

0 23 26

0 29 06

0 34 38

0 40 00

0 45 12

0 50 12

0 54 59

0 59 30

1 03 46

1 07 46

1 11 27

1 14.49

1 17 52

1 20 34

1 22 55

1 24 55

1 26 32

1 27 47

1 28 39

1 29 09

1 29 15

1 28 59

 1 28 19

1 27 17

1 25 53

1 24 08

1 22 00

1 19 33

.1 16 45

1 13 37

1 10 12

1 06 29

. 1 02 29

0 58 13

0 53 43

0 49 00

0 44 05

0 38 59

0 33 43

0 28 18

0 22 47

0 17 10

0 11 29

0 05 45

1 29 16

h. m. s.

5 56 40

Latitude 35°.

0 / II

0 06 00

0 11 58

0 17 53

0 23 44

0 29 28

0 35 04

0 40 30

0 45 46

0 50 50

0 55 40

1 00 15

1 04 34

. 1 08 36

1 12 20

1 15 45

1 18 50

1 21 34

1 23 57

1 25 57

1 27 36

1 28 51

1 29 44

1 30 14

1 30 20

1 30 03

1 29 23

. 1 28 20

1 26 55

1 25 08

1 22 59

1 20 29

1 17 39

1 14 29

1 11 01

1 07 15

1 03 12

0 58 54

0 54 21.

0 49 34

0 44 35

0 39 26

0 34 06

0 28 38

0 23 03

0 17 22

0 11 37

0 05 49

1 30 20

h. m. s.

5 56 33
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

of Polaris at different hour angles.

31

Azimuth of Polaris computed for declination 88° 46'.

Latitude 30°.

o / //

0 06 05

0 12 08

0 18 07

0 24 02

0 29 51

0 35 31

0 41 02

0 46 22

0 51 29

0 56 23

1 01 02

1 05 24

1 09 29

1 13 16

1 16 43

1 19 50

1 22 36

1 25 01

1 27 03

1 28 42 -

1 29 59

1 30 52

1 31 21

1 31 27

1 31 10

1 30 30

1 29 26

1 27 59

1 26 11

1 24 00

1 21 28

1 18 36

1 15 24

1 11 53

1.08 04

1 03 58

0 59 37

0 55 00

0 50 10

0 45 08

0 39 54

0 34 30

0 28 59

0 23 19

0 17 35

0 11 46

0 05 53

1 31 28

h. in. s.

5 56 25

Latitude 37°.

0 1 II

0 06 10

0 12 18

0 18 22

0 24 22

0 30 15

0 36 00

0 41 35

0 47 00

0 52 11

. 0 57 09

1 01 51

1 06. 17

1 10 25

1 14 14

1 17 44

1 20 54

1 23 42

1 26 08

1 28 12

1 29 52

1 31 09

1 32 03

1 32 33

1 32 39

1 32.21

1 31 40

1 30 35

1 29 07

1 27 17

1 25 04

1 22 30

1 19 36

1 16 21

1 12 48

1 08' 56

1 04 47

1-00 22

0 55 42

0 50 48

0 45 42

0 40 24

0 34 57

0 29 20

0 23 37

0 17 48

0 11 54

0 05 58

1 32 40

h. in. s.

5 56 17

Latitude 38°.

O 1 II

0 06 15

0 12 28

0 18 38

0 24 43

0 30 4.1.

0 36 31

0 42 11

0 47 39

0 52 55

0 57 57

1 02 43

1 07 12

1 11 24

1 15 16

1 18 49

1 22 01

1 24 51

1 27 19

1 29 24

1 31 06

1 32 24

1 33 18

1 33 48

1 33 54

1 33 36

1 32 54

1 31 48

1 30 18

1 28 26

1 26 12

1 23 36

1 20 39

1 17 22

1 13 45

1 09 50

1 05 38

1 01 09

0 56 25

0 51 27

0 46 17

0 40 55

0 35 24

0 29 43

0 23 55

0 18 02

0 12 04

0 06 02

1 33 55

h. in. s.

5 56 09

Latitude 39°.

O 1 II

0 06 20

0 12 39

0 18 54

0 25- 04

0 31 08

0 37 02

0 42 47

0 48 21

0 53 41

0 58 47

1 03 37

1 08 10

1 12 25

1 16 21

1 19 57

1 23 11

1 26 03

1 28 33

1 30 40

1 32 23

1 33 42

1 34 37

1 35 07

1 35 13

1 34 54

1 34 11

1 33 04

1 31 33

1 29 39

1 27 23

1 24 45

1 21 45

1 18 25

1 14 45

1 10 47

1 06 31

1 01 59

0 57 11

0 52 09

0 46 54

0 41 28

0 35 52

0 30 07

0 24 14

0 18 16

0 12 13

0 06 07

1 35 14

h. in. s.

5 56 00

Latitude 40°.

O 1 II

0 06 26

0 12 50

0 19 11

0 25 27

0 31 36

0 37 36

0 43 26

0 49 04

0 54 29

0 59 40

1 04 34

1 09 12

1 13 30

1 17 29

1 21 08

1 24 25

1 27 20

1 29 52

1 32 00

1 33 44

1 35 04

1 35 59

1 36 30

1 36 35

1 36 16

1 35 32

1 34 24

1 32 52

1 30 56

1 28 38

1 25 57

1 22 54

1 19 31

1 15 48

1 11 47

1 07 27

1 02 51

0 57 59

0 52 53

0 47 34

0 42 03

0 36 22

0 30 32

0 24 35

0 18 31

0 12 23

0 06 12

1 36 36

A. in. s.

5 55 52

Correction for 1' increase in declination of Polaris.

Latitude 30°.

//

- 5

- 9

 14

-18

-23

-27

-31

-35

-39

-43

-46

-50

-53

-56

-58

-61

-63

-64

-66

-68

-69

-69

-70

.-70

-69

-68

-67

-66

-65

-64

-62

-60

-57

-54

-51

-48

-45

-42

-38

-34

-30

-26

-22

 -18

-13

- 9

 4

-69

s.

+ 2

Latitude 40°.

H

- 5

-10

-16

-21

-26

 31

 36

-40

-45

-49

-53

-57

-60

-63

-66

-69

-72

-74

-75

-76

-77

-78

-78

-78-

-78

 77

-76

-75

-73

-72

-69

-66 -64*

-61

-58

-54

-50

-46

-42

-38

-34

-29

-24

-20

-15

-10

- 5

-78

s.

+ 3

Hour

angle

before

or after

upper

culmination.

A. in.

0 15

0 30

0 45

1 00

1 15

1 30

1 45

2 00

2 15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

' 4 45

5 00

5 15

5 30

5 45

6 00

6 15

6 30

6 45

7 00

7 15

7 30

7 45

8 00

8 15

8 30

8 45

9 00

9 15

9 30

9 45

10 00

10 15

10 30

.10 45

11 00

11 15

11 30

11 45
32 GEOGEAPHIC TABLES AND FOEMULAS. [BULL. 234. 

TABLE 4. Azimuth and apparent altitude

Hour angle before 

or after upper 

culmination.

h. m. 

0 15

0 30

0 45

1 00

1 15

1 30

1 45

2 00

2.15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

4 45

5 00

5 15

5 30

5 45

6 00

6 15

. 6 30

6 45

7 00

7 15

7 30

7 45

' 8 00

° 8 15

8 30

8 45

9 00

9 15'

9 30

9 45

10 00

10 15

10 30

. 10 45

11 00

11 15

11 30

11 45

Elongation:

Azimuth . . .

Hour angle.

Azimuth of Polaris computed for declination 88° 46'.

Latitude 40°.

0 06 26

0 12 50

0 19 11

0 25 27

0 31 36

0 37 36

0 43 26

0 49 04

0 54 29

0 59 40

1 04 34

1 09 12

1 13 30

1 17 29

1 21 08

1 24 25

1 27 20

1 29 52

1 32 00

1 33 44

1 35 04

1 35 59

1 36 30

1 36 35

1 36 16

1 35 32

1 34 24

1 32 52

1 30 56

1 28 38

1 25 57

1 22 54

1 19 31

1 15 48

1 11 47

-1 07 27

1 02 51

0 57 59

0 52 53

0 47 34

0 42 03

0 36 22

0 30 32,

0 24 35!

0 18 31:

0 12 23

0 06 12

1 36 36

h. m. s. 5 55 52

Latitude 41°.

0 06 32

0 13 03

0 19 30

0 25 51

0 32 05

0 38 11

0 44 07

0 49 50

0 55 20

1 00 35

1 05 34

1 10 16

1 14 38

1 18 41

1 22 23

1 25 43

1 28 40

1 31 14

1 33 24

1 35 10

1 36 30

1 37 26

1 37 57

1 38 02

1 37 43

1 36 58

1 35 48

1 34 15

1 32 17

1 29 56

1 27 13

1 24 07

1 20 41

1 16 55

1 12 49

1 08 26

1 03 45

0 58 49

0 53 39

0 48 15

0 42 39

0 36 53

0 30 58

0 24 56

0 18 47

0 12 34

0 06 18

1 38 03

ft. m. s. 5 55 43

Latitude 42°.

0 06 39

0 13 15

0 19 48

0 26 16

0 32 36

. 0 38 48

0 44 50

0 50 39

0 56 14

1 01 34

1 06 38

1 11 24

1 15 50

1 19 57

1 23 42

1 27 05

1 30 04

1 32 41

1 34 53

1 36 40

1 38 02

1 38 58

1 39 29

1 39 34

1 39 14

1 38 28

1 37 17

1 35 42

1 33 42

1 31 19

1 28 33

1 25 24

1 21 55

1 18 05

1 13 55

1 09 28

1 04 43

0 59 42

0 54 27

0 48 58

0 43 18

0 37 26

0 31 26

0 25 18

0 19 04

0 12 45

0 .06 23

1 39 35

h. m. s.

5 55 34

Latitude 43°.

0 06 45

0 13 29

0 20 08

0 26 43

0 33 09

0 39 27

0 45 35

' 0 51 29

0 57 10

1 02 36

1 07 44

1 12 35

1 17 06

1 21 16

1 25 04

1 28 31

1 31 33

1 34 12

1.36 25

1 38 14

1 39 37

1 40 34

1 41 05

1 41 10

1 40 49

1 40 03

1 38 50

1 37 13

1 35 11

1 32 46

1 29 56

1 26 45

1 23 12

1 19 18

1 15 05

1 10 33

1 05 43

1 00 38

0 55 18

0 49 44

0 43 58

0 38 01

0 31 55

0 25 42

0 19 22

' 0 12 57

0 06 29

1 41 11

h. m. s.

5 55 24

Latitud'e 44°.

0 06 52

0 13 43

0 20 29

0 27 10

0 33 44

0 40 09

0 46 22

0 52 23

0 58 10

1 03 41

1 08 54

1 13 50

1 18 25

1 22 39

1 26 32

1 30 01

1 33 07

1 35 48

1 38 04

1 39 54

1 41 18

1 42 16

1 42 47

1 42 51

1 42 30

1 41 42

1 40 28

1 38 49

1 36 45

1 34 17

1 31 25

1 28 10

1 24 33

1 20 35

1 16 18

1 11 41

1 06 47

1 01 37

0 56 11

0 50 32

0 44 40

0 38 38

0 32 26

0 26 06

0 19 40

0 13 09

0 06 36

1 42 53

h. m. s. 5 55 14

Latitude 45°.

0 07 00

0 13 58

0 20 52

0 27 40

0 34 21

0 40 52

0 47 12

0 53 19

0 59 12

1 04 49

1 10 08

1 15 09

1 19 49

1 24 08

1 28 04

1 31 37

1 34 45

1 37 29

1 39 47

1 41 38

1 43 04

1 44 02

1 44 34

1 44 38

1 44 16

1 43 27

1 42 12

1 40 31

1 38 24

1 35 53

1 32 58

1 29 40

1 25 59

1 21 57

1 17' 35

1 12 54

1 07 54

1 02 38

0 57 07

0 51 22

0 45 25

0 39 16

0 32 58

0 26 32

0 20 00

0 13 23

0 06 42

1 44 40

h. m. s.

5 55 04
GANNETT.] GEOGEAPHlC TABLES AND FOKMULAS. 

of Polar is at different hour angles Continued.'

33

Azimuth of Polaris computed for declination 88° 46'.

Latitude 46°.

o / //

0 07 08

0 14 13

0 21 15

0 28 11

0 34 59

0 41 38

0 48 05

0 54 19

1 00 18

1 06 01

1 11 26

1 16 32

1 21 17

1 25 40

1 29 41

1 33 17

1 36 29

1 39 15

1 41 35

1 43 29

1 44 55

1 45 54

1 46 26

1 46 31

1 46 08

1 45 18

1 44 01

1 42 18

1 40 09

1 37 35

1 34 36

1 31 14

1 27 29

1 23 23

1 18 56

1 14 10

1 09 05

1 03 44

0 58 07

0 52 16

0 46 12

0 39 57

0 33 32

0 27 00

0 20 20

0 13 36

0 06 49

1 46 32

h. in. s. 5 54 53

Latitude 47°

O / II

0 07 16

0 14 30

0 21 40

0 28 44

0 35 40

0 42 26

0 49 01

0 55 22

1 01 28

1 07 17

1 12 48

1 18 00

1 22 50

1 27 18

1 31 23

1 35 03

1 38 18

1 41 08

1 43 30

1 45 25

1 46 53

1 47 53

1 48 25

1 48 29

1 48 05

1 47 14

1 45 56

1 44 10

1 41 59

1 39 21

1 36 19

1 32 53

1 29 04

1 24 53

1 20 21

1 15 30

1 10 19

1 04 52

0 59 09

0 53 12

0 47 01

0 40 40

0 34 08

0 27 28

0 20 42

. 0 13 51

0 06 56

1 48 31

h. m. s.

5 54 42

Latitude 48°.

o / //

0 07 25

0 14 48

0 22 06

0 29 18

0 36 23

0 43 17

0 49 59

0 56 28

1 02 41

1 08 38

1 1*4 15

1 19 33

1 24 29

1 29 02

1 33 11

1 36 55

1 40 14

V 43 06

1 45 31

1 47 28

1 48 57

1 49 58

1 50 30

1 50 34

1 50 10

1 49 17

1 47 56

1 46 09

1 43 54

1 41 14

1 38 08

1 34 38

1 30 44

1 26 28

1 21 51

1 16 54

1 11 38

1 06 04

1 00 15

0 54 11

0 47 53

0 41 25

0 34 46

0 27 59

0 21 05

0 14 06

0 07 04

1 50 36

h. in. s.

5 54 31

Latitude 49°.

0 / //

0 07 34

0 15 06

0 22 33

0 29 55

0 37 08

0 44 11

0 51 02

0 57 38

1 03 59

1 10 03

1 15 47

1 21 11

1 26 13

1 30 51

1 35 05

1 38 54

1 42 16

1 45 11

1 47 39

1 49 38

1 51 08

1 52 10

1 52 43

1 52 46

1 52 21

1 51 27

1 50 04

1 48 14

1 45 57

1 43 13

1 40 03

1 36 29

1 32 30

1 28 09

1 23 26

1 18 23

1 13 01

1 07 21

1 01 24

0 55 13

0 48 49

0 42 12

0 35 26

0 28 31

0 21 29

0 14 22

0 07 12

1 52 48

h. m. s.

5 54 20

Latitude 50°.

Oil'

0 07 44

0 15 25

0 23 02

0 30 33

0 37 56

0 45 08

0 52 07

0 58 52

1 05 21

1 11 32

1 17 24

1 22 54

1 28 02

1 32 46

1 37 06

1 40 59

1 44 25

. 1 47 24

1 49 54

1 51 55

1 53 27

1 54 30

1 55 03

1 55 06

1 54 40

1 53 44

1 52 20

1 50 27

1 48 06

1 45 19

1 42 05

1 38 26

1 34 22

1 29 55

1 25 07

1 19 57

1 14 28

1 08 41

1 02 38

0 56 19

0 49 47

0 43 02

0 36 08

0 29 05

0 21 55

0 14 39

0 07 21

1 55 08

h. in. s. 5 54 07

Correction for 1' increase in declination of Polaris.

Latitude 40°.

- 5

-10

-16

-21

-26

-31

-36

 40

-45

-49

-53

-57

-60

-63

-66

-69

-72

-74

-75

-76

-77

-78

-78

-78

-78

-77

-76

-75

-73

-72

-69

-66

-64

-61

-58

-54

-50

-46

-42

-38

-34

-29

-24

-20

-15

-10

- 5

-78

s.

+ 3

Latitude 50°.

- 6

-13

-19

-25

-32

-38

-43

-49

-54

' -59

-64

-68

-72

-76

-80

-83

-86

-88

-90

-91

-92

-93

-94

-93

-93

-92

-91

-89

-87

-85

-82

-79

-76

-72

-68

-64

-59

-55

-50

-45

-40

-34

-29

-23

 18

-12

- 6

-93

s.

+ 5

Hour 

angle 

before 

or after 

upper culmination.

h. in.

0 15

0 30

0 45

1 00

1 15

1 30

1 45

2 00

2 15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

4 45

5 00

5 15

5 30

5 45

6 00

6 15

6 30

6 45

7 00

7 15 -

7 30

7 45

8 00

8 15

8 30

8 45

9 00

9 15

9 30

9 45

10 00

10 15

10 30

10 45

11 00

11 15

11 30

11 45

Bull. 234 04 3
34 GEOGRAPHIC TABLES AND FOKMULAS. [BULL. 234 

TABLE 4. Azimuth and apparent altitude

Hour angle before 

or after upper 

culmination.

h. m. 

0 15

0 30

0 45

1 00

1 15

1 30

1 45

. 2 00

2 15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

4 45

5 00

5 15

: 5 30

5 45

6 00

6 15

6 30

6 45

7 00

7 15

7 30

7 45

8 00

8 15

8 30

8 45

9 00

9 15

9 30

9 45

10 00

10 15

10 30

10 45

11 00

11 15

11 30

11 45

Elongation:

Azimuth . . .

Hour angle.

Azimuth of Polaris computed for declination 88° 46'.

Latitude 50°.

0 07 44

0 15 25

0 23 02

0 30 33

0 37 56

0 45 08

0 52 07

0 58 52

1 05 21

' 1 11 32

1 17 24

1 22 54

1 28 02

1 32 46

1 37 06

1 40 59

1 44 25

1 47 24

1 49 54

1 51 55

1 53 27

1 54 30

1 55 03

1 55 06

1 54 40

1 53 44

1 52 20

1 50 27

1 48 06

1 45 19

1 42 05

1 38 26

1 34 22

1 29 55

1 25 07

 1 19 57

1 14 28

1 08 41

1 02 38

0 56 19

0 49 47

0 43 02

0 36 08

0 29 05

0 21 55

0 14 39

0 07 21

1 55 08

h. m. s.

5 54 07

Latitude 51°.

0 07 54

0 15 46

0 23 33

0 31 14

0 38 47

0 46 08

0 53 17

1 0011

1 06 48.

1 13 08

1 19 07

1 24 44

1 29 59

1 34 49

1 39 14

1 43 12

1 46 42

1 49 44

1 52 17

1 54 21

1 55 54

1 56 58

1 57 31

1 57 34

1 57 06

1 56 09

1 54 42

1 52 47

1 50 23

1 47 32

1 44 13

1 40 29

1 36 20

1 31 48

1 26 53

1 21 37

1 16 01

' 1 10 06

1 03 55

0 57 28

0 50 48

0 43 56

. 0 36 52

0 29 41

0 22 22

0 14 57

0 07 30

1 57 36

h. m. s.

5 53 54

Latitude 52°.

0 08 05

0 16 08

0 24 06

0 31 58

0 39 40

0 47 12

0 54 31

1 01 34

1 08 21

1 14 48

1 20 55

1 26 41

1 32 02

1 36 58

1 41 29

1 45 32

1 49 07

1 52 13

1 54 49

1 56 54

1 58 29

1 59 34

2 00 08

2 00 10

1 59 41

1 58 43

1 57 14

1 55 15

1 52 48

1 49 52

1 46 29

1 42 40

1 38 25

1 33 47

1 28 45

1 23 22

1 17 38

1 11 36

1 05 17

0 58 42

0 51 53

0 44 52

0 37 39

0 30 18

0 22 50

0 15 16

0 07 39

2 00 13

h. m. s.

5-53 41

Latitude 53°.

0 08 17

0 16 31

0 24 41

0 32 44

0 40 38

0 48 20

0 55 49

1 03 03

1 09 59

1 16 35

1 22 51

1 28 44

1 34 13

1 39 16

1. 43 52

1 48 01

1 51 40

1 54 50

1 57 29

1 59 37

2 01 15

2 02 20

2 02 53

2 02 56

2 02 26

2 01 25

1 59 54

1 57 52

1 55 21

1 52 21

1 48 53

1 44 58

1 40 38

1 35 52

1 30 44

1 25 13

1 19 22

1 13 12

1 06 44

1 00 00

0 53 02

0 45 51

0 38 29

0 30 58

0 23 20

0 15 37

0 07 49

2 02 59

h. m. s.

5 53 27

Latitude 64°.

0 08 29

0 16 56

0 25 18

0 33 33

0 41 38

0 49 32

0 57 12

1 04 37

1 11 43

1 18 29

1 24 54

1 30 55

1 36 32

1 41 42

1 46 25

1 50 39

1 54 23

1 57 37

2 00 20

2 02 31

2 04 10

2 05 16

2 05 50

2 05 52

.2 05 21

2 04 18

2 02 44

2 00 39

1 58 04

1 54 59

1 51 26

1 47 25

1 42 58

1 38 06

1 32 50

1 27 11

1 21 12

1 14 53

1 08 16

1 01 23

0 54 15

0 46 54

0 39 22

0 31 41

0 23 52

0 15 58

0 08 00

2 05 55

h. m. s.

5 53 12

Latitude 55°.

 0 08 42

0 17 22

0 25 57

0 34 25

0 42 43

0 50 49

0 58 41

1 06 16

1 13 33

1 20 30

1 27 04

1 33 15

1 39 00

1 44 18

1 49 07

1 53 27

1 57 16

2 00 35

2 03 21

2 05 35

2 07 16

2 08 23

2 08 58

2 08 58

2 08 26

2 07 22

2 05 45

2 03 36

2 00 57

1 57 47

1 54 08

1 50 01

1 45 27

1 40 28

1 35 04'

1 29 17

1 23 08

1 16 40

1 09 53

1 02 50

0 55 32

0 48 01

0 40 18

0 32 26

0 24 26

0 16 21

0 08 11

2 09 02

h. m. s.

5 52 57
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

of Polaris at different hour angles Continued.

35

Azimuth of Polaris computed for declination 88° 46'.

Latitude 56°.

0 1 II

0 08 56

0 17 50

0 26 39

0 35 21

0 43 52

0 52 11

1 00 16

1 08 03

1 15 31

1 22 39

1 29 23

1 35 43

1 41 37

1 47 03

1 52 00

.1. 56 26

2 00 21

2 03 44

2 06 34

2 08 51

2 10 34

2 11 42

2 12 17

2 12 17

2 11 44

2 10 37

2 08 57

2 06 44

2 04 00

2 00 45

1 57 00

1 52 47

1 48 06

1 42 58

1 37 26

1 31 30

1 25 12

1 18 34

1 11 37

1 04 23

0 56 54

0 49 12

0 41 18

0 33 14

0 25 02

0 16 45

0 08 23

2 12 21

h. TO. 8.

5 52 41

Latitude 57°.

o ./ n

0 09 12

0 18 20

0 27 24

0 36 20

0 45 06

0 53 39

1 01 56

1 09 57

1 17 37

1 24 56

1 31 52

1 38 22

1 44 25

1 50 00

1 55 04

1 59 37

2 03 38

2 07 06

2 10 00

2 12 20

2 14 05

2 15 14

2 15 50

2 15 49

2 15 14

2 14 05

2 12 21

2 10 05

2 07 16

2 03 55

2 00 04

1 55 43

1 50 54

1 45 39

1 39 57

1 33 51

1 27 24

1 20 36

1 13 28

1 06 03

0 58 22

0 50 27

0 42 21

0 34 05

0 25 41

0 17 10

0 08 36

2 15 54

h. m. s.

5 52 24

Latitude 58°.

O t II

0 09 28

0 18 53

0 28 12

0 37 23

0 46 24

0 55 12

1 03 44

1 11 58

1 19 52

1 27 24

1 34 31

1 41 12

1 47 25

1 53 08

1 58 21

2 03 01

2 07 09

2 10 42

2 13 40

2 16 03

2 17 50

2 19 01

2 19 36

2 19 35

2 18 59

2 17 47-

2 16 00

2 13 39

2 10 45

2 07 18

2 03 20

1 58 52

1 53 54

1 48 30

1 42 39

1 36 23

1 29 44

1 22 45

1 15 25

1 07 48

0 59 55

0 51 48

0 43 28

0 34 59

0 26 21

0 17 38

0 08 50

2 19 40

h. TO. s.

5 52 06

Latitude 59°.

O ' /'

0 09 45

0 19 27

0 .29 03

0 38 31

0 47 48

0 56 52

1 05 40

1 14 08

1 22 16

1 30 01

1 37 21

1 44 13

1 50 37

1 56 30

2 01 51

2 06 40

2 10 54

2 14 32

2 17 35

2 20 02

2 21 51

2 23 04

2 23 39

2 23 37

2 22 59

2 21 44

2 19 53

2 17 27

2 14 27

2 10 54

2 06 49

2 02 12

1 57 06

1 51 32

1 45 31

1 39 05

1 32 14

1 25 03

1 17 31

1 09 41

1 01 34

0 53 14

0 44 40

0 35 57

0 27 05

0 18 07

0 09 04

2 23 43

h. TO. s.

5 51 47

Latitude 60°.

o / n

0 10 03

0 20 04

0 29 58

0 39 44

0 49 19

0 58 40

1 07 44

1 16 28

1 24 51

1 32 50

1 40 23

1 47 28

1 54 03

2 00 07

2 05 37

2 10 34

2 14 55

2 18 39

2 21 47

2 24 17

2 26 09

2 27 23

2 27 58

2 27 56

2 27 15

2 25 57

2 24 03

2 21 32

2 18 26

2 14 46

2 10 32

2 05 47

2 00 32

1 54 47

1 48 35

1 41 57

1 34 55

1 27 30

1 19 45

1 11 41

1 03 20

0 54 45

0 45 57

0 36 59

0 27- 51

0 18 38

0 09 20

2 28 02

h. TO. s.

5 51 27

Correction for 1' increase in declination of Polaris.

Latitude 50°.

n

- 6

-13

-19

-25

-32

-38

-43

-49

-54

-59

-64

-68

' -72

-76

-80

-83

-86

-88

-90

-91

-92

-93

-94

-93

-93

-92

-91

-89

-87

-85

-82

-79

-76

-72

-68

-64

-59

-55

-50

 45

-40

-34

-29

-23

-18

-12

- 6

-93

s. + 5

Latitude 60°.

 oQ

- 17

- 25

- 33

- 41

- 49

- 57

- 64

- 71

- 78

- 84

- 89

- 94

- 99

-104

-1.08

 111

-114

-1.16

-118

-119

-120

-120

-120

-119

-118

-1.16

 114

 111

-1.08

 104

-100

- 96

- 91

- 86

- 80

- 75

- 69

- 63

- 56

- 50

- 43

- 36

- 29

- 22

- 14

- 7

-120

8.

+ 7

Hour

angle

before

or after

upper

culmination.

h. TO.

0 15

0 30

0 45

1 00

1 15

1 30

1 45

2 00

2 15

2 30

2 45

3 00

3 15

3 30

3 45

4 00

4 15

4 30

4 45

5 00

5 15

5 30

5 45

6 00

6 15

6 30

6 45

7 00

7 15

7 30

7 45

8 00

8 15

8 30

 8 45

9 00

9 1.5

9 30

9 45

10 00

10 15

10 30

10 45

1.1 00

11 15

11 30

11 45
36 GEOGRAPHIC TABLES AND FOKMULAS. [BULL.234. 

TABLE 4. Azimuth and apparent altitude of Polaris at different hour angles Continued.

Hour

angle

before

or after

upper culmination.

h. in.

000

015

030

045

100

115

130

145

200

215

230

245

300

315

330

345

400

415

430

445

500

515

530

545

600

615

630

645

700

715

730

745

800

815

830

845

900

915

930

945

1000

1015

1030

1045

1100

1115

1130

1145

1200

Apparent altitude of Polaris, computed for declination 88° 46' and

mean refraction.

Latitude 30°.

o /

31 15.6

31 15.4

31 14.9

31 14.2

31 13.0

31 11.6

31 09.9

31 07.9

31 05.6

31 03.0

31 00.1

30 57.0

30 53.7

30 50.1

30 46.4

30 42.4

30 38.3

30 34.0

30 29.6

30 25.0

30 20.4

30 15.6

Latitude 35°.

o /

36 15.3

36 15.2

36 14.7

36 13.9

35 12.8

36 11.3

36 09.6

36 07.6

36 05.3

36 02.7

35 59.8

35 56.7

35 53.4

35 49.8

35 46.0

35 42.1

35 38.0

35 33.6

35 29.2

35 24.6

35 20.0

35 15.3

30 10.8 35 10.4

30 06.0

30 01.2

29 56.4

29 51.6

29 46.8

39 42.1

29 37.5

29 33.0

29 28.6

29 24.4

29 20.3

29 16.4

29 12.7

29 09.2

29 05.9

29 02.8

29 00.0

28 57.5

28 55.3

28 53.3

28 51.6

28 50.2

28 49.2

28 48.4

28 47.9

28 47.7

35 05.6

35 00.8

34 56.0

34 51.2

34 46.4

34 41.7

34 37.1

34 32.6

34 28.2

34 24.0

34 19.9

34 16.0

34 12.3

34 08.8

34 05.5

34 02.5

33 59.7

33 57.2

33 55.0

33 53.0

33 51.3

33 49.9

33 48.9

33 48.1

33 47.6

33 47.4

Latitude 40°.

0 '

41 15.1

41 14.9

41 14.5

41 13.7

41 12.5

41 11.1

41 09.4

41 07.3

41 05.0

41 02.4

40 59.5

40 56.5

40 53.1

40 49.5

40 45.7

40 41.8

40 37.6

40 33.3

40 28.9

40 24.3

40 19.7

40 14.9

40 10.1

40 05.3

40 00.5

39 55.6

39 50.8

39 46.0

39 41.4

39 36.8

39 32.3

39 27.9

39 23.7

39 19.6

39 15.7

39 12.0

39 08.5

39 05.3

39 02.2

38 59.4

38 56.9

38 54.7

38 52.8

38 51.1

38 49.7

38 48.6

38 47.8

38 47.4

38 47.2

Latitude 45°.

O 1

46 14.9

46 14.8

46 14.3

46 13.5

46 12.3

46 10.9

46 09.2

46 07.2

46 04.8

46 02.2

45 59.3

45 56.2

45 52.9

45 49.2

45 45.5

45 41.5

45 37.4

45 33.0

45 28.5

45 24.0

45 19.4

45 14.6

45 09.9

45 05.0

45 00.2

44 55.3

44 50.5

44 45.7

44 41.1

44 36.4

44 32.0

44 27.6

44 23.4

44 19.3

44 15.4

44 11.7

44 08.3

44 05.0

44 02.0

43 59.2

43 56.7

43 54.5

43 52.5

43 50.8

43 49.5

43 48.4

43 47.6

43 47.1

43 47.0

Latitude 50°.

0 /

51 14.8

51 14.6

51 14.2

51 13.3

51 12.2

51 10'. 8

51 09.0

51 07.0

51 04.6

51 02.0

50 59.1

50 56.0

50 52.6

50 49.0

50 45.2

50 41.3

50 37.1

50 32.8

50 28.3

50 23.7

50 19.1

50 14.3

50 09.6

50 04.7

49 59.9

49 55.0

49 50.2

49 45.5

49 40.8

49 36.2

49 31.7

49 27.3

49 23.1

49 19.0

49 15.2

49 11.5

49 08.1

49 04.8

49 01.8

48 59.0

48 56.6

48 54.3

48 52.4

48 50.7

48 49.4

48 48.2

48 47.5

48 47.0

48 46.8

Latitude 55°.

O 1

56 14.6

56 14.4

56 14.0

56 13.2

56 12.0

56 10.6

56 08.8

56 06.8

56 04.4

56 01.8

55 58.9

55 55.8

55 52.3

55 48.8

55 45.0

55 41.0

55 36.8

55 32.5

55 28.0

55 23.4

55 18.8

55 14.0

55 09.2

55 04.4

54 59.5

54 54.7

54 49.9

54 45.1

54 40.4

54 35.8

54 31.4

54 27.0

54 22.8

54 18.8

54 14.9

54 11.2

54 07.9

54 04.5

54 01.5

53 58.8

53 56.4

53 54.1

53 52.1

53 50.5

53 49.1

53 48.0

53 47.2

53 46.8

53 46.7

Latitude 

6<R

o /

61 14.5

61 14.3

61 13.8

61 13.0

61 11.9

61 10.4

61 08.6

61 06.6

61 04.2

61 01.6

60 58.7

60 55.5

60 52.1

60 48.5

60 44.7

60 40.7

60 36.5

60 32.1

60 27.6

60 23.0

60 18.4

60 13.6

60 08.8

60 04.0

59 59.1

59 54.3

59 49.6

59 44.8

59 40.1

59 35.4

59 31.0

59 26.7

59 22.5

59 18.4

59 14.6

59 11.0

59 07.6

59 04.3

59 01.3

58 58.6

58 56.1

58 53.9

58 52.0

58 50.3

58 49.0

58 47.9

58 47.1

58 46.7

58 46.6

Correction

for 1' increase in declination 

of Polaris.

,

-1.0

-1.0

 1.0

-1.0

-1.0

-0.9

-0.9

-0.9

-0.8

-0.8

-0.8

-0.7

-0.7

-0.6

-0.6

-0.5

-0.5

-0.4

 0.4

-0.3

-0.2

-0.2

-0.1

0.0

0.0

+0.1

+0.1

+0.2

+0.3

+ 0.4

+0.4

+0.5

+0.5

+0.6

+0.6

+0.7

+0.7

+0.8

+0.8

+0.8

+0.9

+0.9

+0.9

+0.9

+1.0

+1.0

+1.0

+1.0

+1.0

Hour

angle

before

or after

upper culmination.

h. m.

000

015

030

045

100

115

130

145

200

215

230

245

300

315

3.30

345

400

415

430

445

500

515

530

545

600

615

630

645

700

715

730

745

800

815

830

845

900

915

930

945

1000

1015

1030

1045

1100

1115

1130

1145

1200
GAKNETT.] GEOGRAPHIC TABLES AMD FORMULAS.

TABLE 5. For projection of maps of large areas.

[The ratio of the yard to the meter as stated by Clarke, namely, 1 meter = 1.093623 yards = 39.370432 

inches, is that used.in the table.]

LENGTHS OF DEGREES OP THE MERIDIAN.

Latitude.

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

2627 '

28

29

30

31

32

33

34

35

36

37

38

39

. 40

. 41

42

43

44

45

Meters. «

110, 567. 2

110, 567. 6

110, 50(8. 6

110, 570. 3

110, 572. 7

110, 575. 8

110, 579. 5

110, 583. 9

110, 589. 0

110, 594. 7

110, 601. 1

110,608.1

110, 615. 8

110, 624. 1

110, 633. 0

110, 642. 5

110, 652. 6

110, 663. 3

110,674.5

110, 686. 3

110, 698. 7

110,711.6

110, 725. 0

110, 738. 8

110, 753. 2

110, 768. 0

110, 783. 3

110, 799. 0

110, 815. 1

110, 831. 6

110, 848. 5

110, 865. 7

110, 883. 2

110, 901. 1

110, 919. 2

110, 937. 6

110, 956. 2

110, 975. 1

1 10, 994. 1

111 , 013. 3

111,032.7

111, 052. 2

111,071.7

111, 091. 4

111, 111. 1

111, 130. 9

Statute 

miles;

68. 704

68. 704

68. 705

68. 706

68. 708

68. 710

68. 712

68. 715

68. 718

68. 721

68. 725

68. 730

68. 734

68. 739

68. 744

68. 751

68. 757

68. 764

68. 771

68. 778

68. 786

68. 794

68. 802

68. 811

68. 820

68. 829

68. 839

68. 848

. 68. 858 '

68. 869

68. 879

68. 890

68. 901.

68. 91.2

68. 923

68. 935

68. 946

68. 958

68. 969

'68. 981

68.993

69. 006

69. 018

69. 030

69. 042

69. 054

Latitude.

O

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61-

62

63

64

65

66

67

68

69

70

71

72

73

 74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

Meters. «

111, 130. 9

111, 150. 6

111, 170. 4

111, 190. 1

111, 209. 7

11.1, 229. 3

111, 248. 7

111,268.0

111, 287. 1

111,306.0

111, 324. 8

111, 343. 3

111, 361. 5

111, 379. 5

111, 397. 2

111,414.5

111,431.5

111, 448. 2

111, 464. 4

111, 480. 3

111, 495. 7

111, 510. 7

111,525.3

111, 539. 3

111, 552. 9

111, 565. 9

111, 578. 4

111, 590. 4

111, 601. 8

111, 612. 7

111, 622. 9 .

Ill, 632. 6

111, 641. 6

111, 650. 0

111, 657. 8

111, 664. 9

111, 671. 4

1.1.1, 677. 2

111, 682. 4

111,686.9

111, 690. 7

111, 693. 8

111, 696. 2

111,697.9

111, 699. 0

111, 699. 3

Statute 

miles. 

69. 054

69. 066

69. 079

69.091

69. 103

69. 1.15

69. 127

69. 139

69. 151

69. 1 63

69. 175

69. 1.86

69.197

69. 209

69. 220

69. 230

69. 241

69. 251

69. 261.

69. 271

69. 281.

69. 290

69. 299

69. 308

69. 316

69. 324

69. 332

69.340

69. 347

69. 354

69. 360

69. 366

69. 372

69. 377

69. 382

69. 386

69. 390

69. 394

69. 397

69. 400

69. 402

69. 404

69. 405

69. 407

69. 407

69. 407

a These quantities express the number of meters and statute miles contained within an arc of which 

the degree of latitude named is the middle; thus, the quantity 111,032.7, opposite latitude 40°, is the 

number of meters between latitude 39° 30' and latitude 40° 30'.
38 GEOGEAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 5. For projection of maps of large areas Continued.

[Extracted from Appendix No. C, U. S. Coast and Geodetic Survey Report for 1S84.]

LENGTHS OF DEGREES OF THE PARALLEL.

Latitude."

o

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

1718 -

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

Meters.

Ill, 321

111, 304

111, 253

111, 169

111, 051

110, 900

110, 715

110, 497

HO, 245

109, 959

109,641

109, 289

108, 904

108, 486

108, 036

107, 553

107, 036

106, 487

105, 906

105, 294

104, 649

103, 972

103, 264

102, 524

101,754

100, 952

100, 119

99, 257

98, 364

97,441

96, 488

95, 506

94, 495

93, 455

92, 387

91, 290

90, 166

89,014

87, 835

86, 629

85, 396

84, 137

82, 853

81, 543

80, 208

78, 849

Statute 

miles.

69. 172

69. 162

69. 130

69. 078

69. 005

68. 911

68. 795

68. 660

68. 504

68. 326

68. 129

67. 910

67. 670

67. 410

67.131

66. 830

66. 510

66. 169

65. 808

65. 427

65. 026

64. 606

64. 166

63. 706

63. 228

62. 729

62. 212

61. 676

61. 122

60. 548 .

59. 956

59. 345

58. 716

58. 071

57. 407

56. 725

56. 027

55. 311

54. 579

53. 829

53. 063

52. 281

51.483

50.669

49. 840

48. 995

Latitude.

o

45

46

47

48

49

50

51

52

53

54-

55.

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74 

75

76

77

78

79

80

81

82

83

84

85

86-

87

88

89

90

Meters.

78,849

77,466 .

76, 058

74, 628

73, 174

71, 698

70, 200

68, 680

67, 140

65, 578

63, 996

62, 395

60, 774

59, 135

57, 478

55, 802

54,110

52, 400

50, 675

48, 934

47, 177

45, 407

43, 622

41, 823

40, 012

38, 188

36, 353

34, 506

32,648

30, 781

28, 903

27, 017

25, 123

23, 220

21, 311

19, 394

1.7, 472

15, 545

13,612

11, 675

9,735

7,792

5,846

3,898

1,949

0

Statute 

miles.

48. 995

48. 136

47. 261

46. 372

45. 469

44. 552

43. 621

42. 676

41, 719

40. 749

39. 766

38. 771

37. 764

36. 745

35. 716

34. 674

33. 623

32. 560

31. 488

30. 406

29. 315

28. 215

27. 106

25. 988

24. 862

23. 729

22. 589

21. 441

20. 287

19. 127

17. 960

16. 788

15. 611

1.4. 428

13. 242

12. 051

10. 857

9.659

8.458

7.255

6.049

4.842

3.632

2.422

1.211

0.000
GANNETT.] GEOGRAPHIC TABLES AND FOEMtfLAS.

TABLE 5. For projection of maps of large arms Continued.

[Extracted from Appendix No. 6, U. S. Coast and Geodetic Survey Report for 1884.]

ARCS OF THE PARALLEL, IN METERS.

Latitude.

o /

24 00

10

20

30

40

50

25 00

10

20

30

.40

50

26 00

10

20

30

40

50

27 00

10

20

30

40

50

28 00

10

20

30

40

50

29 00

10

20

30

40

50

30 00

10

20

30

40

50

31 00

10

20

30

40

50

32 00

10

20

30

40

50

Value of _!'.

1695. 9

1698.7

1691. 5

1689. 3

1687. 0

1684. 8

1682. 5

1680. 3

1678. 0

1675. 7

1673. 3

1671.0 .

1668. 7

1666. 3

1663. 9

1661. 5

1659. 1

1656. 7

. 1654.3

1651. 8

1649. 4

1646. 9

1644. 4

1641. 9

1639. 4

1636. 9

1634. 3

1631. 8

1629. 2

1626. 6

1624. 0

1621. 4

1618. 8

1616. 1

1613. 5

1.610. 8

1608. 1

1605. 4

1602. 7

1600. 0

1597. 3

1594. 5

1591. 8

1589. 0

1586. 2

1583. 4

1580. 6

1577. 8

1574. 9

1572. 1

1569. 2

. 1566. 3

1563. 4

1560. 5

Latitude.

0 /

33 00

10

20

30

40

50

34 00

10

20

30

40

50

35 00

10

20

30

40

50

36 00

10

20

30

40

50

37 00

10

20

30

40

50

38 00

10

20

30

40

50

39 00

10

20

30

40

50

40 00

. 10

20

30

40

50

41 00

10

20

30

40

50

Value of 1'.

1557. 6

1554. 7

1.551. 7

1548. 7

1545. 8

1542. 8

1539. 8

1536. 8

1533. 7

1530. 7

1527. 6

1524. 6

1521. 5

1518. 4

1515. 3

1512. 2

1509. 1

1505. 9

1502. 8

1499. 6

1496.4

1.493. 2

1490. 0

1486. 8

1483. 6

1480. 3

1477. 1

1473. 8

1470. 5

1467. 2

1463. 9

1460. 6

1457. 3

1.453. 9

1450. 6

1.447. 2

1443. 8

1440. 4

1437. 0

1433. 6

1430. 2

1426. 7

1423. 3

1419.8

1416. 3

1412. 8

1409. 3

1405. 8

1402. 3

1398. 8

1395.2

1391. 6

1388. 1

1384. 5

Latitude.

0 /

42 00

10

20

30

40

50

43 0010 '

20

30

40

50

44 00

10

20

30

40

50

45 00

10

20

30

40

50

46 00

10

20

30

40

50

47 00

10

20

30

40

50

48 00

10

20

30

40

50

49 00

10

20

30

40

50

50 00

10

20

30 40

50

Value of 1'.

1380. 9

1377.3

1373. 7

1370. 0

1366. 4

1362. 7

1359. 1

1355. 4

1351. 7

1348. 0

1344. 3

1340. 5

1336. 8

1333. 1

1329. 3

1325.5

1321. 7

1318. 0

1314. 2

1310. 3

1306. 5

1302.7

1298. 8

1295. 0

1291.0

1287. 2

1283. 3

1279. 4 

1275. 5

127f.6

1.267.6

1263, 7

1259. 7

1255. 8

1251. 8

1247. 8

1243. 8

1239.8

1235. 8

1231. 7

1227. 7

1223. 6

1219. 6

1215.5

1211.4

1207. 3

1203. 2

1199.1

1195. 0

1190. 8

1186. 7

1182. 5

1178. 4

1174. 2
40 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 5. For projections of maps of 'large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 24°.

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

-101, 753

203, 500

305,237

406, 959

508, 660

610, 336

711, 981

813,590

915, 159

1, 016, 681

1, 118, 152

1, 219, 566

1, 320, 919

1, 422, 205

1,523,420

1,624,558

1,725,614

1, 826, 583

1, 927, 460

2, 028, 240

2, 128, 918

2,229,488

2,329,946

2,430,287

2, 530, 505

2, 630, 596

2, 730, 554

2, 830, 374

2,930,052

3,029,582

Y

361

1,445

3,250

5,778

9,028

13, 001

17, 695

23, 109

29, 245

36, 102

43, 679

51,977

60, 994

70, 731

81, 186

92, 360

104, 251

116, 859

130,184

144, 225

158, 981

174, 451

190, 634

207, 530

225, 188

243, 458

262,487

282, 225

302,671

323, 825

Latitude 25°.

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

100, 951

201, 896

302, 831

403, 749

504, 645

605, 514

706, 349

807, 146

907, 899

1, 008, 603

1,109,252

1, 209, 841

1,310,364

1, 410, 815

1, 511, 190

1,611,483

1,711,688

1, 811, 800

1, 911, 813

2,011,722

2,111,522

2,211,207

2, 310, 771

2, 410, 210

2, 509-, 518

2, 608, 689

2,707,718

2, 806, 600

2, 905, 329

3, 003, 900

Y

372

1, 489

3,351

5,957

9,307

13, 401

18, 239

23, 821.

30, 146

37, 215

45, 026

53, 578

62, 873

72, 909

83, 685

95, 202

107, 458

120, 453

134, 186

148,656

163,862

179, 805

196,482

213, 894

232, 038

250, 914

270, 521

290, 859

311, 925

333, 718

Latitude 26°.

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

100, 118

200, 231

300, 332

400, 416

500, 476

600, 506

700, 501

800, 456

900, 364

1,000,218

1,100,015

1, 199, 747

1,299,409

1,398,994

1,498,498

1, 597, 914

1,697,237

1,796,460

1, 895, 578

-1,994,585

2, 093, 475

2, 192, 243

2, 290, 882

2, 389, 387

2, 487, 753

2, 585, 973

2,684,042

2,781,953

2, 879, 702

2, 977, 281

Y

383

1,532

3,447

6,128

9,574

13, 786

18, 763

24, 505

31, Oil

38, 282

46, 316

55,114

64, 675

74, 998

86, 082

97, 928

110, 534

123, 899

138, 023

152, 905

168, 544

184, 939

202, 089

219, 993

238, 650

258, 061

278, 222

299, 132

320, 788

343, 197
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 41

TABLK 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 27°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

18 00

14 00

15 00

16 00

17 00

38 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 Ott

29 00

30 00

X

99,256

198,505

297, 742

396, 960

496,154

595, 316

694,440

79S, 522

892, 554

991, 529

1,090,442

1,189,287

1, 288, 057

1,386,746

1,485,348

1,583,857

1, 682, 267

1,780,570

1,878,762

1, 976, 836

2, 074, 786

2,172,<506)

2, 270, 289

2,367,830

2,465,222

2, 562, 459

2, 659, 535

2,756,445

2, 853, 181

2, 949, 739

Y

393

1,573

3, 539

6,291

9,829

14, 154

19, 264

25, 159

31, 839

39, 303

47, 551

56, 583

66, 398

76, 995

88, 374.

100,534

113, 474

127, 193

141,690

156, 966

173, 018

189,845

207, 447

225, 823

244, 970

264,889

285, 577

307, 035

329, 259

352, 249

Latitude 28°.

Longitude.

o /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

98, 363

196,719

295, 062

393,385

491,682

589, 945

688, 168

786, 347

884, 472

982, 537

1,080,537

1,178,464

1, 276, 312

1,374,075

1,471,745

1,569,315

1,666,781

1,764,135

1,861,371

1,958,481

2,055,460

2, 152, 302

2, 248, 998

2,345,544

2,441,932

2, 538, 156

2,634,210

2, 730, 087

2, 825, 779

2, 921, 284

Y

403

1,612

3,627

6,447

10, 073

14, 505

19, 741

25,782

32, 627

40, 276

48, 728

57, 983

68, 040

78, 899

90,558

103, 017

116,2/6

130, 331

145, 185

160, 835

177. 280

194, 518

212,550

231, 374

250, 988

271, 391

292, 082

314, 559

337, 321

360,866

Latitude 29°.

Longitude.

o > 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

H 00

15 00

16 00

17 00

18 00

1.9 00

20 00

21 00

22 00

. 23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

97, 439

194,872

. 292,291

389, 689

487,059

584,394

681,687

778,931

876, 120

973,246

1,070,302

1,167,282

1,264,178

1,360,983

1,457,691

1,654,295

1,650,787

1,747,161

1,843,410

1,939,527

2, 035, 505

2, 131, 338

2,227,020

2, 322, 539

2,417,893

2,613,074

2,608,075

2,702,890

2, 797, 51 1

2, 891, 931

Y

412

1,649

3, 710

6,595

10, 305

14, 838

20, 194

26,374

33,376

41, 199

49, 845

59, 313

69, 601

80, 706

92,631

105, 375

118, 935

183, 311

148,602

164,506

181, 324

198, 963

217, 392

236,640

256, 695

277,558

299, 224

321, 694

344,964

369, 036
GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 30°.

Longitude.

O 1

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

- 10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00-

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

96,487

192, 967

289, 432

385,875

482,288

578, 665

674, 998

771,279

867, 502.

963, 658

1,059,741

1,155,744

1,251,658

1,347,477

1,443,193

1,538,800

1,634,290

1, 729, 664

1,824,887

1,919,982

2, 014, 930

2, 109, 725

2,204,359

2, 298, 825

2,393,116

2,487,224

2, 581, 144

2,674,867

2,768,385

2,861,694

Y

421

1,684

3,789

6,735

10,523

15, 163

20, 623

26,934

34,084

42,074

50,903

60,570

71,074.

82,415

94,591

107, 603

121,449

136, 127

151, 637

167, 977

185, 147

203, 143

221, 966

241, 616

262, 089

283, 383

305, 498

328, 432

352, 183

376, 749

Latitude 31°.

Longitude.

o / 

1 00 .

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

95,505

' 191,002

286,484

381, 943

477, 371

672, 760

668, 103

763, 392

858,619

953,777

1,048,858

1, 143, 854

1,238,758

1,333,561

1, 428, 257

1,522,837

1, 617, 294

1,711,621

1,805,810

1,899,852

1, 993, 740

2, 087, 468

2, 181, 027

2, 274, 411

2, 367, 610

2,460,618

2, 553, 427

2,646,029

2, 738, 418

2, 830, 585

Y

429

1,717

3,863

6,867

10, 729

15,450

21,027

27, 461

34, 751

42,897

51, 898

61,753

72,462

84,024

96, 437

109, 701

123, 815

138, 777

154,586

171,241

188, 741

207, 085

226, 270

246, 295

267, 159

288,860

311,396

334,765

358,966

383, 997

Latitude 32°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

94,494

188, 980

283,449

377, 894

472, 307

566, 680

661, 004

755, 272

. 849, 475

943, 605

1, 037, 655

1,131,616

1, 225, 480

1,319,239

1, 412, 885

1, 506, 411

1, 599, 808

1, 693, 067

1, 786, 182

1, 879, 144

1,971,046

2,064,579

2,157,035

2,249,305

2,341,385

2, 433, 264

2, 524, '935

2, 616, 390

2, 707, 621

2, 798, 621

Y

437

1, 748

3,933

6,991

10,922

15, 727

21, 404

27,954

35, 375

43, 667

52, 829

62, 861

73,761

85,529

98, 164

111, 664

126, 029

141,256

157, 346

174, 296

192, 105

210, 772

230, 295

250, 672

271, 901

293, 981

316, 910

340,686

365, 307

390, 770
GEOGRAPHIC TABLES AND FORMULAS. 43

TABUS 5. For projections of maps of large areas Continued.

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 33°.

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

1.1 00

12 .00

13 00

14 00

15 00

1C 00

17 00

IS 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

93, 454

186,899

280,328

373,731

467, 100

560,428

653,704

746, 922

840, 072

933,146

1,026,136

1,119,033

 1,211,829

1,304,515

1 , 397, 083

1,489,526

1,581,834

1,673,998

1,766,0.11

1,857,866

1,949,553

2, 041, 062

2,132,387

2,223,521

2,314,453

2,405,175

2, 495, 680

2, 585, 961

2, 676, 007

2,765,812

Y

444

1,777

3,997

7, 106

11, 102

15,986

21,757

28, 414

35, 957

44,385

53, 697

63, 893

74, 971

86, 931

99, 771

113,491

128,089

143,564

159,914

177,138

195, 234 '

214,201

234, 037

254,740

276, 309

298, 741

322,034

346, 187

371, 197

397, 061

Latitude 34°. .

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

1.6 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

23 00

29 00

30 00

X

92,385

184, 762

277,121

369,454

461,751

554,004

646, 205

738, 344

830, 413

922,403

1,014,305

1,106,110

1,197,809

1,289,395

1,380,858

1, 472, 190

1, 663, 381

1,654,423

1, 745, 308

1,836,026

1,926,569

2,016,929

2, 107, 097

2, 197, 065

2,286,823

2,376,363

2, 465, 677

'2,554,756

2, 643, 591

2,732,175

Y

451.

1,803

1 4,057

7,212 .

11,268

16, 225

22, 082

28,839

36,494

45,048

54,499

64, 846

76,089

88, 227

101,258

115, 180

129, 993

145, 696

162,287

179, 763

198, 124

217,368

237,493

258, 497

230, 378

303, 134

326, 763

351,262

376, 629

402, 863

Latitude 35°.

Longitude.

o /

1 00

2 00

3 00

4.00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00'

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 OC

30 00

X

91,289

182,568

273, 830

365, 064

456, 261

547,412

638,509

729, 542

820,501

911, 379

1,002,165

1,092,850

1,183,426

1,273,884

1,364,214

1,454,407

1,544,454

1,634,347

1,724,076

1,813,632

1,903,006

1, 992, 190

2,081,174

2, 169, 949

2,258,507

2, 346, 838

2,434,934

2,522,787

2,610,386

2, 697, 724

Y

457

1,828

4, 112

7,310

11,421

16,446

22,381

29, 229

36, 987

45, 656

 55, 234

65,721

77,115

89,415

102, 619

116,728

131,738

147,650

164,460

182, 168

200, 772

220, 268

240,657

261,936

284,102

307, 154

331,089

355,905

381,598

408, 168
44 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE; 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y meters.

Latitude 36°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

90, 164

180, 319

270,455

360, 562

450, 631

540, 653

630, 618

720, 517

810, 340

900, 078

989, 720

1, 079, 269

1, 168, 684

1,257,987

1,347,156

1, 436, 184

1,525,061

1, 613, 777

1, 702, 824

1, 790, 691

1,878,870

1, 966, 851

2,054,625

2, 142, 183

2, 229, 516

2,316,613

2,403,467

2, 490, 068

2, 576, 407

2, 662, 475

Y

462

1, 850

4,162

7,399

11,560

16, 645

22,652

29, 583

37, 435

46, 209

55,903

66, 515

78, 046

90, 494

103, 856

118, 133

133, 323

149, 423

166, 433

184,350

203, 173

222, 899

243, 527

265, 055

287, 479

310,798

385, 009

360, 111

386, 099

412, 971

. Latitude 37°.

Longitude.

o /

. 1 00

2 00

3 00

. 4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

89,012

178,015

266, 997

355, 951

444,865

533, 730

622,536

711,273

799, 932

888, 603

976, 975

1,065,340

1, 153, 587

1,241,707

1,329,690

1, 417, 526

1, 505, 206

1, 592, 721

1,680,069

1, 767, 211

1, 854, 169

1, 940, 922

2, 027, 462

2, 113, 777

2,199,860

2, 285, 699

2,371,287

2, 456, 612

2, 541, 667

2, 626, 441

Y

467

1,870

4,207

7,479

11,685

16, 824

22, 896

29, 901

37, 838

46, 706

56, 503

67,229

78,882

91, 462

104, 967

119, 395

134, 745

151, 015

168,203

186, 307

205, 326

225, 258

246, 099

267,849

290, 503

314, 061

338,519

363, 874

390, 125

417,267

Latitude 38°.

Longitude.

o /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

87,833

175, 656

263,458

351, 230

438, 962

526, 643

614, 263

701, 812

789, 280

876, 657

963, 933

1,051,098

1,138,141

1,225,063

1,311,823

1, 398, 441

1,484,899

1,571,185

1, 657, 289

1, 743, 202

1,828,914

1,914,416

1, 999, 694

2, 084, 743

2, 169, 551

2, 254, 109

2,338,406

2,422,433

2,506,181

2, 589, 639

Y

472

1.888

4/247

7,549

11,795

16, 983

23, 112

30, 183

88, 195

47, 145

57, 034

67,860

79, 622

92,319

105, 949

120, 511

136, 002

152,421

169,767

188,037

207,229

227, 341

248,370

270, 315

293, 172

316, 939

341,613

367, 192

393, 672

421,050
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 45

TABLE 5. For projections of maps of large areas Continued.

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 39°.

^ErtSMgiii- 

 taule.

o ;

1 00

2 00

3 00

4 00

'5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

Hi 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

86, 627

173, 243

259, 889

346, 403

432, 925

519, 396

605, 803

692, 138

778, 388

864,545

950,598

1,036,536

1, 122, 3J9

1,208,027

1,293,559

3,378,934

1,464,144

1, 549, 177

1,634,023

1,718,671

1,803,113

1,887,337

1,971,333

2,055,091

2,138,1-02

2, 22], '854

2,304,838

2, 387, 545

2, 469, 963

2, 552, 084

Y

476

1,903

4,281

7,611

11,891

17, 121

23,300

30, 428

38, 504

47,527

57, 496

68, 409

80, 266

93,064

106,802

121,479

137, 093

153, 642

171,124

189, 537

208, 878

229,146

250, 337

272, 450

295, 481

319, 429

344, 289

370, 059

396, 736

424, 317

Latitude. 40°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

. 30 00

X

85,394

170, 778

256, 140

341,470

426, 757

511,990

597, 158

682, 252

 767,260

852,171

936, 975

1,021,661

1,106,218

1, 190, 636

1,274,904

1,359,012

1,442,949.

1, 526, 704

1,610,267

1,693,628

1,776,775

1,859,698

1,942,387

2,024,833

2, 107, 023

2, 188, 948

2, 270, 597

2, 351, 961

2, 433, 029

2, 513, 790

' Y

479

1,916

4,311

7,663

11,972

17,238

23, 460

30,637

38, 768

47, 852

57,888

68,875

80,811

93, 695

107, 525

122,300

138,017

154,675

172, 272

190, 805

210, 272

230, 671

251,998

274, 252

297, 430

321,528

346, 543

372, 473

399, 314

427,063

Latitude 41°.

Longitude.

O I

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00,

15 OO'

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00.

25 00

26 00

27 00

28 00

29 00

30 00

X

84,136

168, 260

252, 363

336, 432

420, 457

504,428

588, 332

672, 159

765, 897

839, 537

923, 067

1, 006, 475

1,089,752

1, 172, 886

1,255,866

1,338,681

1,421,321

1, 503, 775

1,586,031

1,668,079

1,749,909

1,831,509

1,912,869

1, 993, 978

2, 074, 826

2, 155, 402

2,235,695

2, 315, 695

2, 395, 392

2, 474, 774

Y

482

1,927

4,336

7,706

12, 039

17,335

23, 591

30,807

38,983

48,118

58,209

69, 266

81,258

94, 212

108,117

122,971

138, 773

155,520

173, 210

191,841

211,409

231, 914

253,352

275,719

299, 014

323,233

348, 374

374,432

401,404

429, 287
46 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 42°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

82,851

165, 691

248, 508

331,292

414, 030

496,712

579, 325

661,861

744,305

826,648

908, 879

990, 985

1,072,956

1,154,781

1,236,449

1,317,948

1,399,267

1, 480, 395

1, 561, 321

1, 642, 035

1,722,524

1,802,779

1,882,788

1,962,540

2, 042, 024

2, 121, 230

2, 200, 146

2, 278, 762

2, 357, 067

2, 435, 052

Y

484

1,935

4,354

7,739

12, 092

17,410

23, 693

30,941

39, 152

48,325

58,459

69, 553

81, 605

94, 614

108, 577

123, 493

139,360

156,175

173, 937

192, 642

212, 289

232, 874

254,396

276, 850

300, 234

324, 544

349, 778

375, 932

403,002

430, 985

.Latitude 43°.

Longitude.

0 /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00-

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

81,641

163, 071

244, 578

326,050

407,476

488,844

570, 143

651, 361

732, 486

813, 508

894,415

975, 195

1,055,837

1,136,329

1,216,661

1,296,820

1,376,795

1, 456, 575

1, 536, 148

1, 615, 505

1, 694, 632

1, 773, 519

1, 852, 155

1,930,528

2,008,628

2, 086, 443

2, 163, 963

2,241,176

2, 318, 071

2, 394, 639

Y

485

1,941

4,367

7,763

12, 129

17,464

23,766

31,036

39,272

48, 474

58,639

69, 766

81,854

94, 901

108, 905

123,864

139, 777

156, 640

174,451

193, 209

212,909

233,551

255, 129

277, 642

301,087

325, 459

350, 750

376, 974

404, 109

432, 157

Latitude 44°.

Longitude.

O '

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

80,206

160, 401

240,572

320, 708

400, 797

480, 827

560, 786

640, 662

720, 445

800, 122

879, 681

959, 110

1,038,399

1, 117, 535

1,196,507

1, 275, 303

1,353,911

1,432,320

1, 510, 519

1,588,496

1, 666; 240

1, 743, 738

1,820,980

1,897,955

1, 974, 650

2,051,055

2,127,159

2,202,950

2,278,417

2,353,550

Y

486

1,945

4,375

7,778

12, 152

17, 496

23, 811

31, 094

39, 345

48,563

58,746

69,893

82,002

95,072

109, 100

124,084

140,023

156, 913

174, 753

193, 540

213,270

233, 942

255,552

278,096

301,572

325, 977

351,306

377, 555

404,722

432, 801
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 47

TABLE 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 45°.

Longitude.

o /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

1.1 00

12 00

13 00

14 00

16 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

78, 847

157, 682

236,493

315, 269

393,9%

472, 663

551, 258

629, 769

708, 184

786,492

864, 679

942,735

1, 020, 647

1,098,404

1, 175, 994

1,253,404

1, 330, 624

1,407,640

1,484,443

1,561,019

1, 637,.358

1,713,447

1,789,276

1, 864, 831

1.,' 940, 103

2,015,079

2, 089; 749

2, 164, 100

2, 238. 121

2,311,802

y

486

1,946

4,378

7,783

12, 160

17,508

23, 826

31, 114

39, 370

48, 594

58,782

69,936

82,051.

95,127

109, 162

124, 163

140, 099

156, 996

174, 842

193, 635

213, 371

234, 048

255,663

278,211

301, 690

326,097

351, 427

377, 676

404,841

432,918 '

Latitude 46°.

Longitude.

0 /

I'OO

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

15 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

77,464

154, 915

232,342

309,732

387, 074

464,354

541,562

618,684

695,708

772, 623

849,416

926, 075

1, 002, 588

1,078,943

1, 155, 128

1,231,131

1,306,940

1,382,543

1,457,928

1,533,083

1,607,997

1,682,657

1,757,052

1,831,170

1,904,999

1,978,528

2,051,745

2, 124, 639

2, 197, 197

2, 269, 410

Y

486

1,945

4,376

7,779

12, 153

17,498

23,813

31, 096

39, 347

48, 665

58,747

69, 893

82,000

95, 067

109, 091

124,071

140, 003

156,887

174, 718

193, 494

213, 212

233, 869

255,462

277,987

301,441

325,820

351, 120

 377,337

404,468

432, 507

Latitude 47°.

Longitude,

O I

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

'29 00

30 00

X

76, 056

152,100

228,119

304, 101

380J 034

455,904

531,700

607,410

683,020

758, 620

833,895

909, 135

984, 227

1,059,158

1,133,917

1,208,491

1,282,868

1,357,036

1, 430, 984

1,504,697

1, 578, 166

1,651,377

1,724,320

1,796,982

1,869.351

1, 941, 415

2, 013, 163

2,084,583

2,155,663

2,226,392

Y

 j

" 485

1,942

4,368

7,765

12,131

17, 467

23,770

31,040

39,276

48, 477

58,640

69, 765

81,849

94,890

108,887

123, 837

139, 738

156,587

174,381

193, 118

212, 793

233, 405

254,950

277, 425

300, 824

325, 146

350, 386

376,639

403, 602

431,569
48 GEOGEAPHIC TABLES AND FOEMULAS. [BULL. 234.

TABLE 5. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 48°.

Longitude.

o /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

74,626

149, 239

. 223,827

298, 377

372,877

447,314

521,677

595, 951

670, 125

744, 186

818, 123

891, 921

965,570

1,039,056

1,112,367

1,185,491

1,258,416

1,331,129

1,403,618

1,475,871

1,547,876

1, 619, 620

1,691,091

1,762,279/

1,833,170

1, 903, 752

1,974,015

2, 043, 945

2, 113, 531

2, 182, 762

Y

 484

1,936

4,355

7,742

12,095

17,414

23,698

30, 946

39, 157

48, 329

58,461

69,552

81, 598

94, 598

108,551

123, 453

139, 302

156,096

173,832

192, 506

212, 116

232, 658

254,128

276, 524

299, 842

324, 077

349, 225

375, 283

402, 245

430, 107

Latitude 49°.

Longitude.

O 1

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25.00

26 00

27 00

28- 00

29 00

30 00

X

73, 172

146, 331

219,465

292, 561

365, 606

438, 588

511,493

584, 310

657, 026

729, 627

802,102

874, 438

946, 622

1,018,642

1,090,485"

1, 162, 138

1, 233, 591

1,304,829

1,375,840

1,446,613

1,517,135

1,587,394

1,657,378

1, 727, 073

1, 796, 470

1, 865, 554

1,934,315

2, 002, 740

2, 070, 817

2, 138, 536

Y

'482

1,928

4,337

7,709

12, 044

17, 340

23, 598

'30,815

38, 991

48, 123

58, 212

69,254

81,248

94, 191

108, 082

122, 918

138, 697

155, 416

173, 071

191, 660

211, 180

231,627

252, 998

275, 288

298, 495

322,614

347, 640

373, 570

400, 399

428, 123

Latitude 50°.

Longitude.

o /

1 00

2 00

3 00

4 00

5 00

6 00

7 00

8 00

9 00

10 00

11 00

12 00

13 00

14 00

15 00

16 00

17 00

18 00

19 00

20 00

21 00

22 00

23 00

24 00

25 00

26 00

27 00

28 00

29 00

30 00

X

71, 696

143, 379

215, 037

286, 656

358, 224

429, 727

501, 154

572,492

643, 727

714, 847

785,839

856, 691

927,389

997, 922

1,068,277

1,138,440

1,208,400

1,278,144

1, 347, 660

1, 416, 934

1,485,956

1,554,711

1,623,189

1, 691, 377

1,759,262

1, 826, 833

1,894, '077

1,960,983

2, 027, 538

2, 093, 731

Y

479

1,917

4,313

7,667

11, 978

17, 246

23,469 . 30,646

38, 777

47, 859

57, 891

68, 872

80, 798

93, 669

107,482

122,234

137, 923

154, 546

172, 099

190, 581

209, 987

230,314

251,559

273, 717

296, 785

320, 758

345, 633

371,404

398,068

425, 619
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 6. Coordinates for projection'of maps (scale T 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

0 00 

10 

20 

30 

40 

60

1 00 

10 

20 

30 

40 

50

2 00 

10 

20 

30 

40 

50

3 00 

.10 

20 

30 

40 

50

4 00 

10 '20 

30 

40 

50

5 00 

10 

20 

30 

40 

50

6 00 

10 

20 

30 

40 

50

7 00 

10 

20 

30 

40 

50

8 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.804 

11.608 

17.412 

23. 216 

29. 020

6.840 

11. 608 

17. 412 

23. 216 

29.020

5.804 

11.608 

17.412 

23. 216 

29. 020

5.804 

11.608 

17.413 

23.217 

29. 021

5.804 

11.609 

17.413 

23. 217 

29. 022

5.804 

11. 609 

17. 414 

23.218 

. 29. 022

5.805 

11.609 

17.414 

23. 219 

29. 024

5.805 

11.610 

17. 415 

23. 220 

29. 025

Abscissas of developed parallel.

5' longitude.

Inches. 

2.922 

2.922 

2.922 

2.922 

2.922 

2.921

2.921 

2.921 

2.921 

2.921 

2.920 

2.920

2.920 

2.920 

2. 919 

2.919 

2. 918 

2.918

2. 918 

2.917 

2.917 

2.916 

2.916 

2. 9.15

2.915 

2. 914 

2.913 

2. 913 

2.912 

2. 911

2 911

2.910 

2. 909 

2.908 

2. 908 

2.907

2.906 

2.905 

2.904 

2.903 

2.902 

 2.901

2.900 

2.899 

2.898 

2.897 

2.896 

2.895

2.894

10' longitude.

Inches. 

5.844 

5.843 

5.843 

5.843 

6.843 

5.843

5.843 

5.842 

5.842 

5.841 

5.841 

5.840

5.840 

5.839 

6.839 

5.838 

5.837 

5.836

5.836 

5.835 

5.834 

5.832 

5. 831 

5.830.

5.829 

5. 828 

6.827 

5.825 

5.824 

6.823

5. 822

r>. 820

5. 818 

5.817 

5.815 

5. 813

5. 812 

5. 810 

5.808 

5.806 

5.804 

6.802

5.800 

5.798 

6.796 

5.794 

5.791 

5.789

5.787

15' longitude.

Inches. 

8.765 

8.765 

8.765 

8.765 

8.764 

8.764

8.764 

8.763 

8.763 

8.762 

8.761 

8.761

8.760 

8.759 

8.758 

8.757 

8.756 

8.755

8.753 

8.752 

8.750 

8.749 

8.747 

8.746

8.744 

8. 742 

8.740 

8.738 

8.736 

8.734

8.732 

8.730 

8.727 

8.725 

8.722 

8.720

8.718 

8.715 

8.712 

8.709 

8.706 

8.703

8.701 

8.697 

8.604 

8. 6«0 

8.687 

8.684

8.680

20' longitude.

Inches. 

11. 687 

11.687 

11. 686 

11. 686 

11. 686 

11. 686

11.685 

11. 684 

11. 684 

11.683 

11.682 

11.681

11. 680 

11. 678 

11. 677 

11.676 

11. 674 

11. 673

11.671 

11.669 

11. 667 

11.665 

11.663 

11. 661

11. 659 

11.656 

11. 654 

11. 651 

11. 648 

11. 646

11. 643 

11.640 

11. 636 

11.633 

11. 630 

11. 627

11. 624 

11. 620 

11. 616 

11. 612 

11.608 

11. 604

11. 601 

11. 590 

11.592 

11.587 

11.583 

11. 578.

11. 574

25' longitude.

Inches. 

14. 609 

14. 608 

14. 608 

14. 608 

14. 608 

14. 607

14.606 

14. 606 

14. 604 

14.604 

14.602 

14.601

14. 600 

14.598 

14.596 

14. 594 

14. 592 

14. 591

14.589 

14. 586 

14.584 

14.581 

14. 578 

14. 576

14.574 

14. 570 

14. 567 

14.564 

14. 560 

14. 557

14. 554 

14. 550 

14.546 

14. 542 

14. 538 

14. 534

14. 530 

14. 524 

14. 520 

14.515 

14. 510 

14. 506

14.501 

14.496 

14.490 

14. 484 

14. 478 

14. 473

14.468

30' longitude.

Inches. 

17. 531 

17.530 

17.530 

17.630 

17.529 

17.528

17.528 

17.527 

17.525 

17.524 

17.522 

17.521

17.520 

17.518 17.516' 

17. 513 

17.511 

17.509

17.607 

17.504 

17.501 

17. 497 

17. 494 

17. 491

17.488 

17.484 

17. 480 

17. 476 

17. 473 

17. 468

17. 465 

17. 469 

17.455 

17. 450 

17. 445 

17. 440

17.435 

17.429 

17. 424 

17.418 

17.413 

17. 407

17.401 

17.395 

17.387 

17 381 

17.374 

17.368

17.361

Ordinates of developed . 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

0°

Inches. 

0.000 

.000 

.000 

.000 

.000 

.000

2°

0.000 

.000 

.001 

.001 

.002 

.003

4°

0.000 

.001 

. 001 

.002 

.004 

.005

6°

0.000 

.001 

.002 

.004 

.006 

.008

8°

0.000 

.001 

.003 

.005 

.007 

.010

1°

Inches. 

0.000 

.000 

.000 

.001 

.001 

.001

3°

0.000 

.000 

.001 

.002 

.003 

.004

5°

0.000 

.001 

.002 

.003 

.005 

.007

70

0.000 rooi

.002 

.004 

.006 

.009

BuU.234 04-
50, GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLES. Coordinates for projection of maps (scale TTsVw) Continued. 

[From Smithsonian Geograpllical Tables.]

i Latitude ofparallel.

o / 

8 00 

10 

20 

. 30 

40 

50

9 00 

10 

20 

30 

40 

50

10 00 

10 

20 

30 

. 40 

50

11 . 00 

10 

20 

30 

40 

50

12 00 

10 

20 

. 30 

40 

50

13 00 

10 

20 

30 

40 

50

14 00 

10 

20 

30 

40 

50

15 00 

10 

20 

30 

40 50

16 00

Meridional distances 

from 

. even 

degree 

parallels.

Inches.

5.805 

11.610 

17.416 

23. 221 

29. 026

5.806 

11. 611 

17. 417 

23. 222 

29. 028

5.806 

11. 612 

17.417 

23. 223 

29. 029

5.806 

1.1,612 

17. 419 

23. 225 

29. 031

5.807 

11.613 

17. 420 

23. 226 

29. 033

5.807 

11. 614 

17. 421 

23. 228 

29. 035

5. 808 

11. 615 

17, 422 

23. 230 

29. 038

5.808 

11.616 

17. 424 

23. 232 

29. 040

Abscissas of developed parallel.

5' longitude.

Inches. 

2.894 

2.892 

2.891 

2.890 

2.888 

2.887

2.886 

2.885 

2.883 

2.882 

2.881 

2.879

2.878 

2.876 2.875' 

2.873 

2.872 

2. 870

2.869 

2.867 

2.865 

2.864 

2.862 

2.860

2.858 

2.857 

2.855 

2.853 

2.851 

2.849

2.847 

2.846 

2.844 

2. 842 

2.840 

2.838

2. 836 

2.834 

2.831 

2.829 

2.827 

2.825

2. 823 

2.S21 

2.818 

2.816 

2.814 

2. 812

,2.809

10' longitude.

Inches.

5.787 

5.784 

5.782 

5.779

5.777 

5.775

5.772 

5.769 

5.767 

5.764 

5.761 

5.758

5. 755 

5.752 

5.749 

5. 746 

5.743 

5.740

5.737 

5.734 

5.730 

5.727 

5.724 

5.720

5.717 

5.713 

5.709 

5.706 

5.702 

5.698

5.695 

5.691 

5. 687 

5.683 

5.679 

5.675

5.671 

5.667 

5.663 

5.658 

5.654 

5.650

5.646 

5.641 

5.637 

5.632 

. 5.628 

5.623

5. 619

15' longitude.

Inches. 

8.680 

8.677 

8.673 

8.669 

8.666 

8.662

8.658 

8.654 

8.650 

8.646 

8.642 

8.637

8.633 

8.628 

8.624 

8.619 

8.614 

8.610

8.606 

8.601 

8. 596 

8.590 

8.585 

8.580

8.575 

8.570 

8.564 

8.559 

8.553 

8.548

8.542 

8. 536 

8.530 

8. 524 

8.519 

8.513

8.507 

8. 500 

8.494 

8.488 

8.481 

8.475

8.469 

8.462 

8.455 

 8.448 

8.441 

- -8.435

8.428

20' longitude.

Inches. 

11.574 

11. 569 

11. 564 

11.559 

11.554 

11.549

11. 544 

11. 639 

11. 533 

11.528 

11.522 

11. 516

 11.511 

11. 504 

11.498 

11. 492 

11.486 

11. 480

11. 474 

11. 468 

11. 461 

11.454 

11. 447 

11. 440

11. 434 

11. 426 

11.419 

11. 412 

11. 404 

11. 397

11. 390 

11. 382 

11. 374 

11. 366 

11.358 

11.350

11. 342 

11. 334 

11. 326 

11.317 

11. 308 

11. 300

11.292 

11. 282 

11. 274 

11. 264 

11. 255 

11.246

11. 237

25' longitude.

Inches. 

14.468 

14. 461 

14.455 

14.448 

14. 442 

14. 436

14. 430 

14. 424 

14. 416 

. 14.410 

14. 402 

14. 396

14. 388 

14. 380 

14. 373 

14.366 

14. 358 

. 14.350

14. 342 

14. 334 

14. 326 

14. 318 

14. 309 

14. 300

14. 292 

14. 282 

14. 274 

14. 264 

14. 256 

14. 246

14. 237 

14. 228 

14. 218 

14.208 

14. 198 

14. 188

14. 178 

14. 168 

14.157 

14. 146 

14.136 

14. 125

14. 114 

14. 103 

14. 092 

14,080 

14. 069 

14. 058

14.046

30' longitude.

Inches. 

17. 361 

17. 353 

17. 346 

17.338 

17. 331 

17. 324

17. 317 

17. 308 

17. 300 

17. 291 

17. 283 

17, 275

17. 266 

17. 257 

17. 248 

17. 239 

17. 229 

17. 220

17.211 

17.201 

17. 191 

17. 181 

17. 171 

17. 161

17. 150 

17. 139 

17. 128 

17. 117 

17. 107 

17. 095

17.084 

17. 073 

17. 061 

17. 049 

17.038 

17. 026

17. 014 

17.001 

16. 988 

16. 975 

16. 963 

16. 950

16. 937 

16. 924 

16. 910 

16. 897 

16.883 

16.870

16.856

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

1.5 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

25 

20 

25 

30

5 

10 

15 

20 

25 

, 30

8°

Inches. 

0.000 

.001 

.003 

.005 

.007 

.010

10°

0.000 

.001 

.003 

.006 

.009 

.013

12°

0.000 

.002 

.004 

.007 

.011 

.016

14°

0.000 

. 002 ' 

.004 

.008 

.012 

.018

16°

0.001 

.002 

.005 

.009 

.014 

.020

9°

Indies. 

0.000 

.001 

.003 

.005 

.008 

.012

11°

0.000 

.002 

.004 

.006 

.010 

.014

13°

0.000 

.002 

.004 

.007 

.012 

.017

15°

0. 001 

.002 

.005 

.009 

.013 

.019
GANNETT.J GEOGRAPHIC TABLES AND FORMULAS. 51

TAHLU 6. Coordinates for projection of maps (scale t;nroTF7r) Continued. 

[From Sniithsonian Geographical Tables.]

Latitude of 

parallel.

0 /

16 00 

30 

20 

30 

40 

50

17 00 

10 

20 

. 30 

40 

50

18 00 

10 

20 

30 

40 

60

19 00 

10 

20 

30 

40 

50

20 00 

10 

20 

30 

40 

50

21 00 

' 10 

20 

30 

40 

50

22 00 

10 

' 20 

30 

40 

50

23 00 

10 

20 

30 

40 

50

24 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.809 

11.617 

17. 426 

23. 234 

29. 043

5.809 

11.618 

17. 427 

23. 236 

29. 046

5.810 

31.639 

17. 429 

23. 239 

29. 049

5.810 

11.621 

17.431 

23. 242 

29. 052

 5. 811 

11.622 

17. 433 

23. 244 

29. 055

5. 812 

11.623 

17. 435 

23. 247 

29. 058

5. 812 

11. 625 

17.437 

23. 250 

29. 062

5.813 

11.626 

17.439 

23. 252 

29. 066

Abscissas of developed parallel.

5' longitude.

Inches. 

2.809 

2.807 

2.804 

2.802 

2.800 

2.797

2. 795 

2.792 

2.790 

2. 787 

2.785 

2.782

2.780 

2.777 

2. 774 

2.772 

2.769 

2. 766

2.764 

2.761 

2.758 

2.755 

2.752 

2.750

2.747 

2.743 

2.741 

2. 738 

2.735 

2.732

2. 729 

2. 726 

2.723 

2.720 

2.717 

2.714

2. 710 

2.707 

2.704 

2.701 

2.697 

2.694

2.691 

2. 688 

2.684 

2.681 

2. 677 

2.674

2. 671

10' longitude.

Inches. 

5.619 

5.614 

5.609 

5.604 

5.599 

5.595

5.590 

. 5.585 

5.580 

5.675 

5.570 

5.564

5.559 

5.554 

5.549 

5.543 

6.538 

5.533

5.527 

5.522 

5.516 

5. 510 

5.505 

5.499

5.493 

5.487 

5.482 

5.476 

5.470 

5. 464

5.458 

5. 452 

5.445 

5.439 

5.433 

5.427

5.421 

5.414 

5.408 

5.401 

5.395 

5.388

5.382 

5.375 

5.368 

5.362 

5.365 

5.348

5.341

35' longitude.

Inches. 

8.428 

8.421 

8. 414 

8.406 

8.399 

8.392

8.385 

8.377 

8.369 

8.362 

8.354 

8.347

8.339 

8.331 

8.323 

8.315 

8.307 

8.299

8.291 

8.282 

8.274 

8.266 

8.257 

8. 249

8.240 

8.231 

8. 222 

8.213 

8.204 

8.196

8.187 

8.177 

8. 168 

8.159 

8.150 

8.141

8.131 

8.122 

8.112 

8.102 

8.092 

8.083

8. 073 

8.063 

8.053 

8.042 

8.032 

8.022

8.012

20' longitude.

Inches. 

11.237 

11. 228 

11. 218 

11.208 

11. 199 

11. 189

11. 180 

11.170 

11. 159 

11.149 

11. 139 

11. 129

11. 119 

11. 108 

11. 097 

11.087 

11. 076 

11. 065

11.054 

11.043 

11. 032 

11.021 

11. 009 

10. 998

10. 987 

10. 975 

10. 963 

10. 951 

10. 939 

10.928

10. 916 

30.903 

10.891 

10.878 

10. 866 

10. 854

10. 842 

'10.829 

10.816 

10. 802 

10.790 

10. 777

10. 764 

10. 750 

10. 737 

10. 723 

10. 710 

10. 696

10.683

25' longitude.

Inches. 

14. 046 

14.034 

14. 022 

14.010 

13.998 

13. 986

13. 974 

13. 962 

13. 949 

13. 936 

13. 924 

13. 911

13. 898 

13. 885 

13.872 

13. 859 

13. 845 

13.832

13.818 

13. 804 

13. 790 

13. 776 

13. 762 

13. 748

13. 734 

13.719 

13. 704 

13. 689 

13. 674 

13. 660

13. 645 

13.629 

13. 614 

13.598 

13.583 

13. 568

13. 552 

13. 536 

13. 520 

13.503 

13.487 

13. 471

13. 455 

13. 438 

13. 421 

13.404 

13.387 

13. 371

13.354

30' longitude.

Inches. 

16.856 

16.841 

16. 827 

16. 813 

16.798 

16. 784

16. 769 

16.764 

16. 739 

16. 724 

16.709 

16. 693

16. 678 

16. 662 

16. 646 

16. 630 

16.614 

16. 598

16. 582 

16. 565 

16.548 

16.531 

16. 514 

16. 497

16.480 

16. 462 

16.445 

16. 427 

16.409 

36.391

16. 373 

36.355 

16. 336 

16. 318 

16. 300 

16. 281

16. 262 

16. 243 

16. 223 

16. 204 

16.184 

16. 165

16.145 

16. 125 

16. 105 

16.085 

16.064 

16. 045

16.024

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

35 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

16°

Inches. 

0.001 

.002 

.005 .009" 

.014 

.020

18°

0. 001 

.002 

.006 

.010 

.016 

.022

20°

0.001 

.003 

.006 

.011 

.017 

.025

22°

0. 001 

.003 

.007 

.012 

.018 

.027

24°

0.001 

.003 

.007 

.013 

.020 

.028

17°

Inches. 

0.001 

.002 

.005 

.010 

.015 

.021

19°

0.001 

.003 

.006 

.030 

.016 

.024

21°

0.001 

.003 

.006 

.011 

.018 

. 026

23°

0. 001 

.003 

.007 

.012 

.019 

.028
52 GEOGRAPHIC TABLES AND FOEMULAS. [BULL. 234.

TABLE 6. Coordinates for project/ion of maps (scale TTsWzr) Continued- 

[From Snlithsonian Geographical Tables.]

Latitude of 

parallel.

O 1

24 00 

. 10 

20 

30 

40 

50

25 00 

10 

20 

30 

40 

50

26 00 

10 

 20 

30 

40 

50

27 00 

10 

20 

30 

40 

50

28 00 

10 

20 

30 

40 

50

29 00 

10 

20 

30 

40 

50

 30 00 

10 

20 

30 

40 

50

31 ' 00 

10 

20 

30 

40 

50

32 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.814 

11. 628 

17.442 

23.256 

29. 069

5.815 

11.629 

17. 444 

23. 259 

29. 074

5.816 

11. 631 

17.446 

23.262 

29. 077

5.816 

- 1.1.633 

17. 449 

23.265 

29. 082

5.8i7 

11. 634 

17. 451 

 23. 268 

29. 086

5.818 

11. 636 

17.454 

23. 272 

29.090

5.819 

11.638 

17. 457 

23. 276 

29. 094

5.820 

 11. 640 

17. 460 

 23.280 

29. 100

Abscissas of developed parallel.

5' longitude.

Inches. 

2.671 

2.667 

2.664 

2. 660 

2.657 

2.653

2. 650 

2.646 

2.642 

2.639 

2.635 

2.631

2.628 

2.624 

2.620 

2.616 

2.613 

2.609

2.605 

2.601 

2.597 

2.593 

2.589 

2.586

2.582 

2.578 

2.574 

2.570 

2.566 

2.562

2.558 

2.553 

2.549 

2.545 

2.541 

2.537

2.533 

2.528 

2.524 

2.520 

2.515 

2.511

2.507 

2.502 

2.498 

2.493 

2.489 

2.485

2.480

10' longitude.

'Inches. 

5.341 

5.334 

5.327 

5.320 

5.313 

5.306

5.299 

5.292 

5.285 

5.278 

5.270 

5.263

5.256 

5.248 

5.240 

5.233 

5.225 

5,218

5.210 

5.203 

5.195 

5.187 

5.179 

5.171

5.163 

5.155 

5.147 

5.139 

5.131 

5.123

5.115 

5.107 

5. 098 

5.090 

5.082 

5.073

5.065 

5.056 

5.048 

5.039 

5.031 

5.022

5.014 

5.005 

4.996 

4.987 

4.978 

4.969

4.960

15' longitude.

Inches. 

8.012 

8.002 

7.991 

7.981 

7.970 

7.960

7.949 

7.938 

7.927 

7.916 

7.905 

7.894

7.883 

7.872 

7.861 

7.849 

7.838 

7.827

7.816 

7.804 

7.792 

7.780 

7.768 

7.757

7.745 

7.733 

7.721 

7.709 

7. 697 

7.685

7.673 

7.660 

7.648 

7.635 

7.622 

7.610

7.598 

7.585 

7.572 

7.559 

7.546 

7.533

7.520 

7.507 

7.494 

7.480 

7.46V 

 7.454

7.441

20' longitude.

Inches. 

10.683 

10. 669 

10.655 

10.641 

10. 627 

10. 613

10. 599 

10.584 

10.570 

10. 555 

10. 540 

10. 526

10. 511 

10. 496 

10. 481 

10. 466 

10.451 

10. 436

10. 421 

10.405 

10. 390 

10. 374 

10.358 

10.342

10. 327 

10. 311 

10. 294 

10. 278 

10. 262 

10. 246

10. 230 

10. 213 

10. 197 

10. 180 

10.163 

10. 146

10! 130 

10. 113 

10.096 

10. 078 

10. 061 

10.044

10. 027 

10. 009 

9.992 

9.974 

9.956 

9.938

9.. 921

25' longitude.

Inches. 

13.354 

13.336 

13. 319 

13. 301 

13.284 

13.266

13.249 

13.231 

13.212 

13.194 

13. 176 

13.157

13.139 

13. 120 

13. 101 

13. 082 

13. 063 

13.045

13. 026 

13. 006 

12. 987 

12. 967 

12. 947 

12.928

12. 909 

12. 889 

12. 868 

12. 848 

12.828 

12. 808

12.788 

12. 767 

12. 746 

12. 725 

12.704 

12. 683

12. 662 

12.641 

12. 620 

12. 598 

12. 577 

12. 555

12.534 

12. 512 

12. 490 

12. 467 

12.445 

12. 423

12.401

30' longitude.

Inches. 

16. 024 

. 16.003 

15. 982 

16. 961 

15. 940 

15. 919

15. 898 

15. 877 

15.854 

15.833 

15.811 

. 15.788

15. 767 

15.744 

15. 721 

15. 698 

15. 676 

15. 654

15. 631 

15.608 

15. 584 

15. 560 

15. 537 

15. 514

15. 490 

15. 466 

15.442 

15. 418 

15. 394 

15. 369

15.345 

15. 320 

15. 295 

15.270 

15. 245 

15.220

15. 195 

15.169 

15. 143 

15.118 

15.092 

15. 066

15.040 

15. 014 

14. 987 

14. 960 

14. 934 

14. 908

14. 881

Ordiiiates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

24°

Inches. 

0.001 

.003 

.007 

.013 

.020 

.028

26°

0.001 

.003 

.008 

.013 

.021 

.030

28°

0.001- 

.004 

.008 

.014 

.022 

.032

30°

0.001 

.004 

.008 

.015 

.023 

.033

32°

0.001 

.004 

.009 

.015 

.024 

.034

25°

Inches. 

0.001 

.003 

.007 

.013 

.020 

.029

27°

0.001 

.003 

.008 

.014 

.022 

.031

29°

0.001 

.004 

.008 

.014 

.023 

.032

31°

0.001 

.004 

.008 

.015 

.023 

.034
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 6. Coordinates for projection of maps (scale xsrViTtf) Continued. 

[From Smithsonian Geographical Tables.]

53

Latitude of 

parallel.

o / 

32 00 

10 

20 

30 

40 

50

, 33 00 

10 

20 

30 

40 

50

34 00 

10 

20 

.30 

40 

50

35 00 

10 

20 

30 

40 

50

36 00 

10 

20 

30 

40 

50

37 00 

10 

20 

30 

40 

50

38 00 

10 

20 

30 

40 

50

39 00 

10 

20 

30 

40 

50

40 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.821 11.642- 

17. 462 

23.283 

29. 104

5.822 

11. 643 

17.465 

23.287 

29.109

5.823 

11. 645 

17. 468 

23. 291 

29. 113

""5." 824" 

11.647 

17.471 

23.294 

29.118

5.824 

11. 649 

17. 473 

23. 297 

29. 122

5.826 

11. 651 

17. 477 

23. 302 

29. 128

5.827 

11. 653 

17. 480 

23.306 

29. 133

5.828 

11.655 

17. 483 

23. 310 

29.138

Abscissas of developed parallel.

5' longitude.

Inches. 

2.480 

2. 476 

2.471 

2.467 

2.462 

2. 458

2.453 

2.448 

2.444 

2.439 

2.434 

2.429

2.425 

2.420 

 2.415 

2.410 

2. 406 

2.401

2. 396 

2. 391 

2. 386 

2. 381 

2. 377 

2.372

2. 367

2. 362 

2. 357 

2.851 

2.346 

2.341

2.336 

2.331 

2.326 

2.321 

2.316 

2. 311

2.305 

2.300 

2.295 

2.290 

2.2S4 

. 2.279

2.274 

2. 268 

2. 263 

2. 258 

2. 252 

2. 247

2. 241

10' longitude.

Inches. 

4.960 

4.951 

4.942 

4.933 

4.924 

4.915

4.906 

4.896 

4.887 

4.878 

4.868 

4.859

4.850 

4.840 

4.830 

4.821 

4.811 

4.802

4.792 

4.782 

4.773 

4. 763 

4.753 

4.743

4.733 

4. 723 

4.713 

4.703 

4.693 

4.683

4.673 

4.662 

.4.652 

4.642 

4.631 

4.621

4.611 

4. 600 

4.590 

4.579 

4.568 

4.558

4.548 

4.537 

4.526 

4.515 

4.504 

4.493

4.483

15' longitude.

Indies. 

7.441 

7.427 

7.413 

7.400 

7.386 

7.373

7.359 

7.345 

7.331 

7.316 

7.302 

7.288

7.274 

. 7.260 

7.246 

7.231 

7.217 

7.203

7.188 

7.174 

7.159 

7.144 

7.130 

7.115

7.099 

7.085 

7.070 

7.055 

7.039 

7.024

7.009 

6.994 

6.978 

6.963 

6.947 

6.932

6.916 

6.900 

6.884 

6.869 

6.853 

6.837

6.821 

6.805 

6.789 

6.773 

6.756 

6.740

6.724

20' longitude.

Inches. 

9.921 

9.903 

9.884 

9.866 

9.848 

9.830

9.812 

9.793 

9.774 

9.755 

9.736 

9.718

9.699 

9. 680 

9.661 

9.642 

9. 622 

9.604

9.584 

9.565 

9.545 

9. 526 

9.506 

9.486

9.466 

9.446 

9.426 

9.406 

9.386 

9.366

9.345 

9.325 

9.304 

9.284 

9.263 

9.242

9.222 

9.200 

9.179 

9.158 

9.137 

9.116

9.095 

9.073 

9.052 

9.030 

9.008 

8.987

8.965

25' longitude.

Indies. 

12. 401 

12. 379 

12. 355 

12. 333 

12. 310 

12.288

12.265 

12.241 

12.218 

12.194 

12. 171 

12. 147

12. 124 

12. 100 

12. 076 

12. 052 

12.028 

12.004

11.980 

11. 956 

11. 932 

11. 907 

11.883 

11.858

11.833 

11. 808 

11. 783 

11. 757 

11.732 

11.707

11. 682 

11. 656 

11. 630 

11. 605 

11.579 

11.553

11. 527 

11. 501 

11. 474 

11.448 

11.421 

11.395

11. 369 

11.342 

11.315 

11.288 

11. 261 

11. 234

11.207

30' longitude.

Inches. 

14. 881 

14.854 

14.827 

14.800 

14. 772 

14. 745

14. 717 

14. 689 

14. 661 

14.633 

14. 605 

14.676

14.549 

14.520 

14.491 

14. 462 

14.434 

14. 405

14.376 

14. 347 

14. 318 

14.288 

14.259 

14.230

14. 200 

14. 170 

14. 139 

14. 109 

14. 078 

14. 048

14.018 

13. 987 

13. 956 

13. 925 

13. 894 

13. 864

13.832 

13. 801 

13. 769 

13. 737 

13. 705 

13. 673

13. 642 

13. 610 

13. 577 

13. 545 

13.513 

13. 480

13.448

Ordinates of developed 

parallel.

Longitude interval.

/ 

5 

10 

15 

20 

25 

30

 5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

. 6 

10 

15 

20 

25 

30

32°

Indies. 

0.001 

.004 

.009 

.015 

.024 

. 034

34°

0. 001 

.004 

.009 

.016 

.025 

.036

36°

0.001 

.004 

.009 

.01C 

.025 

.036

38°

0.001 

.004 

.009 

.017 

.026 

.037

40°

0.001 

.004 

.009 

.017 

.026 

.038

33°

Inches. 

0.001 

.004 

.009 

.016 

.024 

.035

35°

0.001 

.004 

.009 

.016 

.025 

.036

37°

0.001 

.004 

.009 

.016 

.026 

.037

39°

0. 001 

.004 

.009 

.017 

.026 

.037
54 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 6. Coordinates for projection of maps (scale TSTOTHJ) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O 1

40 00 

10 

20 

30 

40 

50

41 00 

10 

20 

30 

40 

50

42 00 

10 

20 

30 40" 

50

43 00 

10 

20 

30 

40 

50

44 00 

10 

20 

30 

40 

50

45 00 

10 

20 

30 

40 

50

46 00 

10 

20 

30 

40 

50

47 00 

10 

20 

30 

40 

50

48 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.829 

11.657 

17.486 

23. 314 

29. 143

5.830 

11. 659 

17. 489 

23. 319 

29. 149

5.831 

11. 661 

17. 492 

23. 323 

29. 154

5. 832 

11. 663 

17. 495 

23. 327 

29. 159

5.833 

11.666 

. 17. 498 

23. 331 

29. 164

5.834 

11. 668 

17. 501 

23.335 

29. 169

5.835 

11.670 

17.504 

23.339 

29. 174

5.836 

11. 672 

17. 508 

23. 344 

29. 180

Abscissas of developed parallel. .'

5' longitude. .

Inches. 

2.241 

2.236 

2.230 

2.225 

2.219 

2.214

2.208 

2. 203 

2.197 

2.192 

2.186 

2.180

2.175 

2.169 

2.163 

2. 157 2.152- 

2.146

2.140 

2.135 

2.129 

2.123 

2.117 

2.111

2.105 

2.099 

2.093 

2.087 

2.081 

2.076

2.070 

2.064 

2.057 

2.051 

2.045 

 2.039

2.033 

2.027 

2.021 

2.015 

2.009 

2.003

1.996 

1.990 

1.984 

1.978 

1.971 

1.965

1.959

10' longitude.

Inches. 

4.483 

4.472 

4.461 

4.450 

4.439 

4.428

4.417 

4.406 

4.394 

4.383 

4.372 

4.360

4.349 

4.338 

4.326 

4.315 

4.303 

4.292

4.281 

4.269 

4. 257 

4.246 

4.234 

4.222

4.210 

4.199 

4.187 

4. 175 

4.163 

4.151

4.139 

4.127 

4.115 

4.103 

4.091 

4.079

4.067 

4.054 

4.042 

4.030 

4.017 

4.005

3.992 

3.980 

3.968 

3.955 

3.943 

3.930

3.917

15' longitude.

Inches. 

6.724 

6.707 

. 6.691 

6.674 

6.658 

6.641

6.625 

6.608 

6.591 

6. 575 

6.558 

6.541

6.524 

6.507 

6.490 

6.472 

6. 455 

6.438

6.421 

6.403 

6.386 

6.368 

6.351 

6.333

6.316 

5.298 

6.280 

6.262 

6.244 

6. 227

6.209 

6.191 

6.172 

6.154 

6.136 

6.118

6.100 

6.081 

6.063 

6.044 

6.026 

6.008

5.989 

6.970 

5.951 

5.933 

. 5. 914 

5.895

5.876

20' longitude.

Inches. 

8.965 

8.943 

8. 92]. 

8.899 

8.877 

8.855

8.834 

8.811 

8.788 

8:766 

8.744 

8.721

8.698 

8.676 

8.653 

8.630 

8.607 

8.584

8.561 

8.538 

8.514 

8.491 

8.468 

8.444

8.421 

8.397 

8.373 

8.350 

8. 326 

8.302

8. 278 

8.254 

8.230 

8.206 

8.181 

8.157

8.133 

8.108 

8.084 

8.059 

8.034 

8.010

7.985 

7.960 

7.935 

7.910 

7.885 

7.860

7.835

26' longitude.

Indies. 

11. 207 

11. 179 

11.152 

11. 124 

11.097 

11. 069

11.042 

11. 014 

10.985 

10. 958 

10. 929 

10. 901

10.873 

10.844 

10. 816 

10. 787 

10. 759 

10.730

10. 702 

10. 672 

10. 643 

10. 614 

10. 585 

10. 556

10. 526 

10. 496 

- 10.467 

10. 437 

10. 407 

10. 378

10. 348 

10. 317 

10. 288 

10. 257 

10. 226 

10.197

 10. 166 

10. 136 

10. 104 

10. 074 

10.043 

10. 013

9.981 

9.951 

9. 919 

9.888 

9.857 

9.826

9.794

30' longitude.

Inches. 

13.448 

13.415 

13.382 

13.349 

13.316 

13. 283

13.250 

13. 217 

13. 183 

13. 149 

13. 115 

13.081

13. 048 

13. 013 

12. 979 

12.945 

12. 910 

12,876

12. 842 

12. 807 

12. 772 

12. 737 

12. 701 

12. 667

12. 631 

12. 596 

12. 560 

12. 524 

12. 489 

12. 453

12.417 

12. 381 

12. 345 

12.308 

12. 272 

12.236

12. 199 

12.163 

12.125 

12. 089 

12.052 

12. 015

11. 978 

11. 941 

11.903 

11. 866 

11.828 

11. 791

11. 752

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10. 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

40°

Inches. 

0.001 

.004 

- -.009 

.017 

.026 

.038

42°

0.001 

.004 

.010 

.017 

.026 

.038

44°

0.001 

.004 

.010 

.017 

.027 

.038

46°

0.001 

.004 

.010 

.017 

.027 

.038

48°

0.001 

.004 

.010 

.017 

.026 

.038

41°

Inches. 

0.001 

.004 

.009 

.017 

.026 

.038

43°

0.001 

.004 

.010 

.017 

.027 

.038

45°

0.001 

.004 

.010 

.017 

.027 

.038

47°

0. 001 

.004 

.030 

.017 

.027 

.038
GANNETT.] GEOGRAPHIC TABLES

TABLE 6. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

FORMULAS.

 Continued.

 Latitude of 

parallel.

o / 

48 00 

10 

20 

30 

. 40 

50

49 00 

' 10 

20 

30 

40 

50

50 00 

10 

20 

30 

40 

50

51 00 

10 

20 

30 

40 

50

52 00 

10 

20 

30 

40 

50

53 00 

10 

20 

30 

40 

50

54 00 

10 

20 

30 

40 

50

55 00 

10 

20 

30 

40 

50

56 00

Meridional distances 

from 

even 

degree 

parallels.

Indies.

5.837 

11. 674 

17. 511 

23. 348 

29. 185

5.838 

11. 676 

17.514 

23. 352 

29. 190

5.839 

11. 678 

17. 517 

23.356 

29. 191

5.840 

11. 1)80 

17. 520 

23. 360 

29. 200

5.84.1 

11. 682 

17. 523 

23. 364 

29. 204

5.8-12 

11. 684 

17. 526 

23. 368 

29. 210

5.843 

.11.686 

17. 529 

23.372 

29. 214

5. 844 

11. 688 

17. 532 

23. 376 

29. 220

Abscissas of developed parallel.

5' longitude.

Indies. 

1.959 

1. 952 

1.946 

1.940 

1.933 

1.927

1.921 

1.914 

1.908 

1.901 

1.895 

1.888

1.882 

1.875 

1.869 

1.862 

1.856 

1.849

1.842 

1.836 

1.829 

1.823 

1.816 

1.809

1.803 

1. 796 

1.789 

1.782 

1.776 

1.769

1.762 

1.755 

1.748 

1.742 

1.735 

1.728

1.721 

1. 714 

1.707 

1.700 

1. 694 

1.687

1.680 

1.673 

1.666 

1.659 

1. 652 

1.645

1.638

10' longitude.

Inches. 

3.917 

3.905 

3. 892 

3.879 

3.867 

3.854

3.841 

3. 828. 

3.815 

3.803 

3.790 

3.777

3.764 

3.750 

3.737 

3.724 

3.711 

3. 698

3. 685 

3.672 

3. 658 

3. 645 

3. 632 

"3. 618

3.605 

3.592 

3.578 

3.565 

3.551 

3.538

3.524 

3.511 

3.497 

3.483 

3.470 

3. 456

3.442 

3.429 

3.415 

3. 401 

3.387 

3.373

3.359 

3.345 

3..331 

3. 317 

3.303 

3.289

3.275

15' longitude.

Inches. 

5.876 

5.857 

5.838 

5.819 

5.800 

5.781

5.762 

6.743 

5.' 723 

5.704 

5.684 

5.665

5.646 

5.626 

5.606 

5.587 

5.567 

5.547

5.628 

5.507 

5.488 

5.468 

5.448 

5.428

5.408 

5.388 

5.367 

5.347 

5.327 

5.307

5.287 

5.266 

5. 246 

5.225 

5.205 

5.184

5.164 

5.143 

6.122 

5.101 

5.080 

5.060

5.039 

5. 018 

4.997 

4.976 

4. 955 

4; 934

4.913

20' longitude.

Inches. 

7.835 

7.810 

7.784 

7.759 

7.733 

7.708

7.682 

7.657 

7.631 

7.605 

7.579 

7.553

7.527 

7.501 

7.475 

7.449 

7.422 

 7. 396

7.370 

7.343 

7.317 

7.290 

7.264 

7.237

7.210 

7.184 

7.156 

7. 130 

7,103 

7.076

7.049 

7.022 

6.994 

6.967 

6.940 

6. 912

6.885 

6.857 

6.830 

6.802 

6.774 

6.746

6. 719 

6.691 

6.663 

6. 635 

6.607 

6.579

6.551

25' longitude.

Inches. 

9.794 

9.762 

9.730 

9.699 

9.667 

9.635

9.603 

9.571 

9.539 

9.507 

9.474 

9.442

9.409 

9.376 

9.344 

9.311 

9.278 

.9.245

9.212 

9.179 

9.146 

9. 113 

9.080 

9.046

9.013 

8.980 

8.946 

8. 912

8.878 

8.844

8.811 

8.777 

8. 742 

8.708 

8.674 

8.640

8.606 

8.572 

8.537 

8.502 

8. 468 

8.433

8.398 

8. 364 

8.328 

8.294 

8.258 

8.224

8. 188

30' longitude. '

Inches. 

11. 752 

11. 714 

11. 677 

11. 638 ' 

11. 600 

11.562

11. 523 

11.485 

11. 446 

11.408 

11. 369 

11.330

11.291 

11,251 

11. 212 

11.173 

11. 134 

11. 094

11.055 

11. 015 

10. 975 

10. 936 

10. 895 

10. 855

10. 816 

10. 775 

10. 734 

10. 694 

10.654 

10. 613

10. 673 

10. 532 

10. 491 

10.450 

10. 409 

10. 368

10. 327 

10. 286 

10. 244 

10. 202. 

10. 161 

10. 120

10. 078 

10. 036 

9. 994 9. 952' 

9.910 

9.868

9.826

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

' 15 

20 

25 

30

48°

Inches. 

0.001 

.004 

.010 

.017 

.026 

.038

50°

0.001 

.004 

.009 

.017 

.026 

.038

'52°

0.001 

.004 

.009 

.017 

' .026 

.037

54°

0.001 

.004 

.009 

.016 

.025 

.036

56°

0.001 

 .004 

' .009 

.016 

.025 

.036

49°

Inches. 

0.001 

.004 

.010

.017 :

.026 ' 

.038 ;,

' 51° ,

' 0.001 

.004 

.009 

.017 

.026 

.037

' 53°

 0.001 

.004 

.009 

.016 

.026 

, .037

65°

0.001 

.004 

.009 

, .016 

.025 

.036
56 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 284.

TABLE 6. Coordinates for projection of maps (scale xWl 

[From Smlthsonian Geographical Tables.]

)- Continued.

Latitude of 

parallel.

o / 

56 00 

10 

20 

30 

40 

50

57 00 

10 

20 

30 

40 

50

58 00 

10 

20 

30 

40 

50

59 00 

10 

20 

30 

40 

50

60. 00 

10 

20 

30 

40 

50

61 00 

10 

20 

30 

40 50'

62 00 

10 

20 

30 

40 

50

63 00 

10 

20 

30 

40 

50

64 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.845 

11. 690 

17.535 

23.380 

29. 224

5.846 

11. 692 

17. 537 

23.383 

29. 229

6.847 

11. 694 

17.540 

23.387 

29.234

5.848 

11. 695 

17.543 

23. 391 

29.238

5.849 

11. 697 

17.546 

23.394 

29. 243

5.850 

11. 699 

17.549 

23. 398 

29.248

5.850 

11. 701 

17.551 

23. 402 

29. 252

5.851 

11.702 

17.554 

23.405 

29. 256

Abscissas of developed parallel.

5' longitude.

Inches. 

1.638 

1.631 

1.624 

1.616 

1.609 

1'. 602

1.595 

1.588 

1.581 

1.574 

1.566 

1.559

1.552 

1.545 

1.538 

1.530 

1. 523 

1.516

1.509 

1.501 

1.494 

1.487 

1.479 

1.472

1.465 

1.457 

1.450 

1.442 

1.435 

1.428

1.320 

1.313 

1.405 

1.398 

1.390 

1.383

1.375 

1.368 

1.360 

1.353 

1.345 

1.338

1.330 

1.322 

1.315 

1.307 

1.300 

1.292

1.284

10' longitude.

Inches. 

3.275 

3.261 

3.247 

3.233 

3.219 

3.204

3.190 

3.176 

3.162 

3.147 

3.133 

3. 119

3.104 

3.090 

3.075 

3. 061 

3.046 

3.032

3.017 

3.003 

2.988 

2.973 

2.959 

2.944

2.929 

2.914 

2.900 

2.885 

2.870 

2.855

2.840 

2.825 

2.810 

2.795 

2.781 

2.766

2.751 

2.736 

2.720 

2.705 

2.690 

2.675

2.660 

2.645 

2.630 

2.614 

2.599 

2.584

.2.569

15' longitude.

Inches. 

' 4.913 

4.892 

4.870 

4.849 

4.828 

4.807

4.785 

4.764 

4.742 

4.721 

4.699 

4.678

4.656 

4.634 

4.613 

4.591 

4.569 

4.547

4.526 

4.504 

4.482 

4.460 

4.438 

4.416

4.394 

4.372 

4.349 

4.327 

4.305 

4.283

4.261 

4.238 

4.216 

4.193 

4.171 

4.148

4.126 

4.103 

4.081 

4.058 

4.035 

4.013

3.990 

3.967 

3.944 

3.921 

3.899 

3.876

3.853

20' longitude.

Inches. 

6.551 

6.522 

6.494 

6.466 

6.437 

6.409

6.380 

6.352 

6.323 

6.294 

6.266 

6.237

6.208 

6.179 

6.150 

6.122 

6.092 

6.063

6.034 

6.005 

5.976 

5.946 

5.917 

5.888

5.858 

5.829 

5.799 

5.770 

5.740 

5.710

5.681 

5.651 

6.621 

5.591 

5.561 

5.531

"b. 501 

5.471 

5.441 

5.410 

5.380 

5.350

5.320 

5.290 

5.259 

5.228 

5.198 

5.168

5.137

25' longitude.

Inches. 

8.188 

8.153 

8.118 

8.082 

8.046 

8.011

7.976 

7.940 

7.904 

7.868 

7.832 

7.796

7.760 

7.724 

7.688 

7. 052 

7.616 

7.579

7.548

7.506 

7.470 

7.433 

7.396 

7.360

7.323 

7.286 

7.249 

7.212 

7. 175 

7.138

7.101 

7.064 

7.026 

6.988 

6.952 

6.914

6.877 

6.839 

6. 801 

6.763 

6.726 

6.688

6.650 

6.612 

6.574 

6.536 

6.498 

6.460

6.422

30' longitude.

Inches. 

9.826 

9.784 

9.741 

9.698 

9.656 

9.613

9.571 

9.527 

9.485 

9.442 

9.398 

9.356

9.313 

9.269 

9.226 

9.182 

9.139 

9.095

9. 052 

9.008 

8.963 

8.920 

8.876 

8.831

8.788 

8.743 

8.699 

8.654 

8.610 

8.566

8.521 

8.476 

8.431 

8.386 

8.342 

8.297

8.252 

8.207 

8.161 

8.116 

8.071 

8.026

7.980 

7.934 

7.889 

7.843 

7.797 

7.751

7.706

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

. 10 

15 

20 

25 

30

56°

Inches. 

0.001 

.004 

.009 

.016 

.025 

.036

58°

0.001 

.004 

.009 

.015 

.024 

.034

60°

0.001 

.004 

.008 

.015 

.023 

.033

62°

0.001 

.004 

.008 

.014 

.022 

.032

64°

0.001 

.003 

.008 

.013 

.021 

.030

57°

Inches. 

0.001 

.004 

.009 

.016 

.024 

.035

59°

0.001 

.004 

.008 

.015 

.024 

. .034

61°

0.001 

.004 

.008 

.014 

.023 

r 033

63°

0.001 

.003 

.008 

.014 

.022 

.031
GAKNETT.] GEOGRAPHIC TABLES AND FORMULAS.

 Continued.

57

TABLE 6. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

0 /

64 00 

10 

20 

30 

40 

50

65 00 

10 

20 

30 

40 

50

66 00 

10 

20 

80 

40 

50

67 00 

10 

20 

30 

40 

50

68 00 

10 

20 

30 

40 

50

69 00 

10 

20 

30 

40 

50

70 00 

10 

20 

30 

40 

50

71 00 

10 

20 

30 

40 

50

72 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.852 

11. 704 

17.556 

23. 408 

29.260

5.853 

11. 706 

17.568 

23. 411 

29.264

5:854 

11.707 

17.561 

23.414 

29. 268

5.854 

11. 709 

17. 563 

23.418 

29. 272

5.855 

11. 710 

17. 565 

23. 420 

29.276

5.856 

11.712 

17.567 

23. 423 

29.279

5.856 

11. 713 

17. 570 

23. 426 

29.282

6.857 

11. 714 

17.672 

23. 429 

29. 286

Abscissas of developed parallel.

5' longitude.

Inches. 

1.284 

1.277 

1.269 

1.261 

1.254 

1.246

1.238 

1.231 

1.223 

1.215 

1.207 

1.200

1.192 

1.184 

1.176 

1.168 

1.161 

1.153

1.145 

1. 137 

1.129 

1.121 

1.113 

1.106

1.098 

1.090 

1.082 

1.074 

1. 066 

1.058

1.050 

1.042 

1.034 

1.026 

1.018 

1.010

1.002 

.994 

.986 

.978 

.970 

.962

.954 

.946 

.938 

.930 

.922 

.914

.906

10' longitude.

Inches. 

2.569 

2.553 

2.538 

2.523 

2.507 

2.492

2.477 

2. 461 

2.446 

2.430 

2.415 

2.399

2.384 

2.368 

2.352 

2.337 

2.321 

2.305

2.290 

2.274 

2.258 

2.243 

2.227 

2.211

2.195 

2.180 

2.164 

2.148 

2. 132 

2.116

2.100 

2.084 

2.068 

2.052 

2.037 

2.021

2.005 

1.989 

1.972 

1.956 

1.940 

1.924

1.908 

1.892 

1.876 

1.860 

1.844 

1.828

1.811

15' longitude.

Inches. 

3.853 

3.830 

3.807 

3.784 

3.761 

3.738

3.715 

3.692 

3. 668 

3. 645 

3.622 

3.599

3.575 

3.552 

3.529 

3.505 

3.482 

3.458

3.435 

3.411 

3.388 

3. 364 

3.340 

3.317

3.293 

3.269 

3.246 

3.222 

3.198 

3.174

3.151 

3.127 

3.103 

3.079 

3.055 

3.031

3.007 

2.983 

2.959 

2.935 

2.911 

2.886

2.862 

2.838 

2. 814 

2.790 

2. 765 

2.741

2.717

20' longitude.

Inches. 

5.137 

5.106 

5.076 

5.046 

5. 014 

 4. 984

4.953 

4.922 

4.891 

4.860 

4.829 

4.798

4.767 

4.736 

4.705 

4.673 

4.642 

4.611

4.580 

4.548 

4.517 

4.485 

4.454 

4.422

4.391 

4.359 

4.328 

4.296 

4.264 

4.232

4.201 

4.169 

4.137 

4.105 

4.073 

4.041

4.009 

3.977 

3.945 

3.913 

3.881 

3.848

3.816 

3.784 

3.752 

3.720 

3. 687 

3.655

3.623

25' longitude.

Inches. 

6.422 

6.383 

6.345 

6.307 

6.268 

6.230

6.192 

6.153 

6.114 

6.075 

6.037 

6.998

5.959 

5.920 

5.881 

5.842 

6.803 

5.764

5.725 

5.685 

5.646 

5.607 

5.567 

5.528

5.489 

5.449 

5.410 

5.370 

5.330 

5.291

5.251 

6.211 

5. 171 

5.131 

5. 092 

5.052

5. 012 

4.972 

4.931 

4. 891 

4.851 

4.811

4.771 

4.730 

4.690 

4.650 

4.609 

4.569

4.529

30' longitude.

Indies. 

7.706 

7.660 

7.614 

7.568 

7.522 

7.476

7.430 

7.384 

7.337 

7.290 

7.244 

7.198

7.151 

7.104 

7.057 

7.010 

6.963 

6.916

6.869 

6.822 

6.775 

6.728 

6.680 

6.634

6.586 

6.539 

6.491 

6.443 

6.396 

6.349

6.301 

6.253 

6.205 

6.157 

6.110 

6.062

6.014 

5.966 

5.917 

5. 869 

5.821 

5.773

5.725 

5.676 

5.628 

5.579 

5.531 

5.483

5.434

Ordinates of developed 

parallel.

Longitude 

interval.

/ 

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

26 

30

. 5 

10 

15 

20 

25 

30

64°

Inches. 

0.001 

.003 

.008 

.013 

.021 

.030

66°

0.001 

.003 

.007 

.013 

.020 

.029

68°

0.001 

.003 

.007 

.012 

.019 

.027

70°

0.001 

.003 

.006 

.011 

.017 

.024

72°

0.001 

.003 

.006 

.010 

.016 

.023

65°

Inches. 

0.001 

.003 

.007 

.013 

.020 

.029

67°

0.001 

.003 

.007 

.012 

.019 

 .028

69°

0.001 

.003 

.006 

.011 

.018 

.026

71°

0.001 

.003 

.006 

.010 

.016 

.024
58 GEOGRAPHIC TABtES AND

TABLE 6. Coordinates for projection of maps (scale ^-5-* 

[From Smithsonian Geographical Tables.]

[BULL. 234. 

 Continued.

Latitude of 

parallel.

0 /

72 00 

10 

20 

30 

40 

60

73 00 

10 

20 

30 

40 

50

74 00 

10 

20 

30 

40 

50

75 00 

10 

20 

30 

40 

50

76 00 

10 

20 

30 

40 

50

77 00 

10 

20 

30 

40 

50

78 00 

10 

20 

30 

40 

50

79 00 

10 

20 

30 

40 

50

80 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.858 

11. 716 

17. 573 

23.431 

29.289

5.858 

11. 717 

17.575 

23. 434 

29.292

5.859 

11. 718 

17. 577 

23. 436 

29. 295

. 5. 860 

11.719 

17. 678 

23. 438 

29. 298

5.860 

11. 720 

17. 580 

23.440 

29. 300

5.860 

11. 721 

17. 582 

23.442 

29.302

5.861 

11. 722 

17.583 

23. 444 

29. 304

5.861 

11. 723 

17.584 

23.445 

29.306

Abscissas of developed parallel.

5' longitude.

Inches. 

.906 

.898 

.889 

.881 

.873 

.865

.857 

.849 

.841 

.832 

.824 

.816

.808 

.800 

.791 

.783

.775 

.767

.759 

.750 

.742 

.734 

.726 

.717

.709 

.701 

.692 

.684 

.676 

.668

.659 

.651 

.643 

.634 

' .626 

.618

.609 

.601 

.593

.584 

.576 

.568

.559 

.551 

' .542 

.534 

.526 

.517

.609

10' longitude.

Inches. 

1.811 

1.795 

1.779 

1.763 

1.746 

1.730

L714 

1.697 

1.681 

1.665 

1.648 

1.632

1.616 

1.599 

1.583 

1.566 

1.550 

1.534

1.517 

1.501 

1.484 

1.468 

1.451 

1.435

1.418 

1.402 

1.385 

1.368 

1.352 

1.336

1.319 

1.302 

1.285 

1.269 

1.252 

1.235

1. 219 

1.202 

1.185 

1.169 

1.152 

1.135

1.119 

1.102 

1.085 

1.068 

1.052 

1.035

1.018

16' longitude.

Inches. 

2.717 

2.693 

2.668 

.2.644 

2.620 

2.595

2.571 

2.546 

2.522 

2.497 

2.473 

2.448

2.424 

2.399 

2.374 

2.350 

2.325 

2.300

2.276 

2.251 

2.226 

2. 201 

2.177 

2.152

2.127 

2.102 

2.078 

2.053 

2.028 

2.003

1.978 

1.953 

1.928 

1.903 

1.878 

1.853

1.828 

1.803 

1.778 

1.753 

1.728 

1.703

1.678 

1.653 

1.628 

1.602 

1.577 

1.552

1.527

20' longitude.

Inches. 

3.623 

3.590 

3.558 

3.525 

3.493 

'3.460

3.428 

3.395 

3.362 

3.330 

3.297 

3.264

3.232 

3.199 

3.160 

3: 133 

3.100 

3.067

3.034 

3.002 

2.968 

2.935 

2.902 

2.870

2.836 

2.803 

2.770 

2.737 

2.704 

2.671

2.638 

2.604 

2.571 

2.538 

2.504 

2.471

2.438 

2.404 

2.371 

2.338 

2. 304 

2.270

2.237 

2. 204 

2.370 

2.136 

2.103 

2.070

2.036

25' longitude.

Indies. 

4.529 

4.488 

4.447 

4.407 

4.366 

4.325

4.285 

4.244 

4.203 

4.162 

4.121 

4.081

4.040 

3.999 

3.957 

3.916 

3.875 

3.834

3.793 

3.752 

3.711 

3.669 

3.628 

3.587

3.546 

3.504 

3.463 

3.421 

3.380 

3.339

3.297 

3.256 

3.214 

3.172 

3.131 

3.089

3.047 

3.005 

2.964 

2.922 

2.880 

2.838

2.797 

2.755 

2.713 

2.671 

2.629 

2.587

2.545

30' longitude.

Indies. 

5.434 

6.386 

5.336 

5.288 

5.239 

5.190

5.141 

5.092 

5.044 

4.994 

4.945 

4.897

4.847 

4.798 

4.748 

4.699 

4.650 

4.601

4.552 

4.502 

4.453 

4.403 

4.354 

4.304

4.255 

4.205 

4.155 

4.105 

4.056 

4.006

3.956 

3.907 

3.856 

3.806 

3.757 

3.706

3.656 

3.606 

3.556 

3.506 

3.456 

3.406

3.356 

3.305 

3. 255 

3.205 

3.165 

3.104

3.054

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

72°

Inches. 

0.001 

.003 

.006 

.010 

.016 

.023

74°

0. 001 

.002 

.005 

.009 

.014 

.020

76°

0.001 

.002 

.005 

- .008 

.013 

.018

78°

0.000 

.002 

.004 

.007 

.011 

.016

73°

Inches. 

0.001 

.002 

.005 

.010 .015 

.021

75°

0.001 

.002 

.005 

.009 . 

.013 

.039

77° !

0.000 

.002 

.004 

.007 

.012 , 

.017

79°

0.000 

.002 

.004 

.006 

.010 

.OH
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 59

TABLE 7. Coordinates for projection of maps (sc 

[Prom Smithsoninn Geographical Tables.]

Latitude of 

parallel.

o / 

0 00

10 

20 

30 

40 

50

1 00

10 

20 

30 

40 

50

2 00

10 

20 

30 

40 

60

3 00

1.0 

20 

30 

40 

50

4 00

10 

20 

30 

40 

50

5 00

1.0 

20 

30 

40 

50

0 00

10 

20 

30 

40 

50

7 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

11. 451 

22. 901 

34. 352 

45. 803 

57.254

08. 704

11. 451 

22. 901 

34. 352 

45. 803 

57. 254

08. 704

11. 451 

22. 902 

34. 353 

45.804 

57. 254

68. 705

11. 451 

22. 902 

34. 353 

45. 804 

57. 255

68. 700

11.451 

22. 903 

34.354 

45. 805 

57. 256

68. 708

11. 452 

22. 903 

34.855 

45. 806 

57. 258

68. 710

11. 452 

22. 904 

34. 356 

45. 808 

57. 260

68. 712

Abscissas of developed parallel.

5' longitude. 

Inches. 

5.764

5.764 

5.764 

5.764 

5.764 

5.764

5.764

5.763 

5.763 

5.762 

5.762 

5.761

5.761

5.760 

5.759 

 5.759 

5.758 

5.757

5.756

5.756 

6.754 

5.753 

5. 752 

5.751

5.750

5.749 

5.748 

6.746 

5.745 

5.744

5. 743

5^741 

6. 739 

5. 738 

5.736 

5.735

5. 733

5. 731 

5. 729 

5.727 

5. 726 

5. 724

5. 722

10'longitude.

Inches. 

11.529

11.528 

11.528 

11.528. 

.11,528 

11,527

11. 527

11. 526 

.11,525 

11,524 

11. 524 

11. 523

11. 522

11.520 

11. 519 

11.517 

11. 516 

11. 514

11.513

11.511 

11.509 

11. 507 

11.505 

11.503

11.501

11.498 

11.496 

11.493 

11.490 

11.488

11.485

11.482 

11.479 

11.476 

11. 472 

11. 469

11.466

11.462 

11. 458 

11. 455 

11.451 

11. 447

11.443

15' longitude.

Inches. 

17. 293

17. 293 

17.292 

17.292 

17. 291 

17. 291

.17.291

17. 289 

17.288 

17.287 

17. 285 

17. 284

17. 283

17. 281 

17.278 

17. 276 

17. 274 

17. 272

17. 270

17. 267 

17.264 

17. 260 

17. 257 

17. 254

17. 251

17. 247 

17. 243 

17. 240 

17. 236 

17. 232

17. 228

17. 223 

17.218 

17.213 

17.209 

17.204

17.199

17. 193 

17. 188 

17. 182 

17. 177 

17. 171

17. 165

20' longitude.

Indies. 

23. 058

23. 057 

23.056 

23.056 

23.055 

23.054

.23.054

23. 052 

23.050 

23. 049 

23. 047 

23.045

23.044

23.041 

23.038 

23. 035 

23. 032 

23.029

23. 026

23.022 

23. 018 

23.014 

23. 010 

23. 006

23. 002

22. 996 

22. 991 

22. 986 

22. 981 

22. 976

22. 970

22. 964 

22. 958 

22. 951 

22. 945 

22.938

22. 932

22. 924 

22.917 

22. 910 

22. 902 

22. 894

22. 887

25' longitude.

Inches. 

 28. 822

28. 821 

28. 821 

28.820. 

28. 819 

28.818

28.818

28.816 

28.813 

28. 811 

28. 809 

. 28.807

28.805

28.801 

28.797 

28. 794 

28.790 

28. 786

28. 783

28. 778 

28. 773 

28. 767 

28. 762 

28.757

28. 752

28. 746 

28. 739 

28. 733 

28. 726 

28. 720

28. 713

28. 705 

28. 697 

28. 689 

28. 681 

28. 673

 28. 665

28. 656 

28. 646 

28. 637 

28.628 

28. 618

28.609

30' longitude.

Incites. 

34.686

34.585 

34.585 

34.583 

34.583 

34. 582

34.581

34.579 

34.576 

34. 573 

34. 571 

34. 568

34. 565

34. 561 

34. 556 

34. 552 

34.548 

34.543

34.539

34. 533 

34.527 

34.520 

34. 514 

34. 508

34.502

34'. 495 

34. 487 

34. 479 

34.471 

34.463

34. 456

34.446 

34. 436 

34.427 

34. 417 

34.408

34. 398

34.387 

34. 375 

34.364 

34.353 

34. 342

34.330

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

' 25 

30

0°

Inch. 

0.000 

.000 

.000 

.000 

.000 

.000

2°

0.000 

.001 

.001 

.002 

.004 

.005

4°

0,000 

.001 

.003 

.005 

.007 

.011

6°

0.000 

.002 

.004 

.007 

.011 

.016

1°

Inch. 

0..000 

.000 

.001 

.001 

.002 

.003

3°

0.000 

.001 

.002 

.003 

.005 

.008

5°

0.000 

.001 

 .003 

 ' .006 

.009 

.013

7°

0.000 

.002 

.005 

.008 

.01'3 

.018
60 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 7. Coordinates for projection of maps (scale 53-^7) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O '

1 00

10 

20 

30 '40 

. 50

&'. 00

10 

20 

30 

40 

50

9 00

10 

20 

30 

40 

50

10 00

10 

20 

30 

40 

50

11 00

10 

20 

30 

40 

50

12 00

10 

 20 

30 

40 

50

13 00

10 

20 

30 

40 

50

14 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

68. 712

11.452 

22. 905 

34.358 

. 46.810 

57. 262

68. 715

11. 453 

22. 906 

34.359 

45.812 

57. 265

68. 718

11.454 

22. 907 

33.361 

45.814 

57. 268

68.722

11.454 

22. 909 

34.263 

45.817 

57.272

68. 726

11. 455 

22. 910 

34. 365 

45. 820 

57. 275

68.730

11.456 

22. 912 

34.367 

45. 823 

57.279

68.735

11.457 

22. 913 

34. 370 

45. 827 

57. 284

68. 740

Abscissas of developed parallel.

5' longitude.

Inches. 

5.722

5.720 

5.717 

5.715 

5.713 

5. 711

5.709

5.706 

5.704 

5.701 

5.699 

5.696

5.694

5.691 

5.688 

5.686 

5. 683 

5. 680

5.677

5.674 

5.671 

5.668 

5.665 

5.662

5.659

5.656 

5.652 

5. 649 

5.646 

5.642

5.639

5.636 

5.632 

5.628 

5.625 

5.621

5.618

5.614 

5.610 

 5.606 

6.602 

5.598

5.594

10' longitude.

Inches. 

11.443

11.439 

11.435 

11.430 

11. 426 

11. 422

11.417

11. 412 

11. 407 

11.403 

11. 398 

11. 393

11.388

11.382 

11. 377 

11.371 

11. 366 

11.360

11.355

11.349 

11.343 

11.337 

11.331 

11.324

11. 318

11. 312 

11. 305 

11. 298 

11.292 

11.285

11.278

11.271 

11. 264 

11. 257 

11.250 

11. 242

11. 235

11. 227 

11. 220 

11. 212 

11. 204 

11. 196

11.188

15' longitude.

Inches. 

17.165

17. 159 

17. 152 

17. 146 

17.139 

17. 132

17. 126

17. 119 

17. Ill 

17.104 

17. 096 

17. 089

17. 082

17. 073 

17.065 

17.057 

17. 049 

17. 040

17.032

17. 023 

17. 014 

17. 005 

16. 996 

16. 987

16.978

16. 968 

16. 958 

16. 948 

16. 938 

16. 928

16.918

16. 907 

16. 896 

16.885 

16. 874 

16. 864

16. 853

16. 841 

16. 829 

16. 818 

. 16. 806 

16. 794

16. 783

20' longitude.

Inches.

22.887

22. 878 

22.869 

22. 861 

22. 852 

22.843

22.834

22.825 

22. 815 

22.805 

22.795 

22. 786

22. 776

22. 764 

22.754 

22. 742 

22. 732 

22. 720

22. 710

22. 698 

22.685 

22. 673 

22. 661 

22. 649

22. 637

22. 624 

22.610 

22. 597 

22. 584 

22. 570

22.557

22.542 

22.528 

. 22.514 

22. 499 

22. 485

22. 470

22.455 

22. 439 

22. 424 

22. 408 

22. 392

22. 377

25' longitude.

Inches. 

28. 609

28. 598 

28.587 

28. 576 

28. 565 

28.554

28.543

28. 531 

28. 519 

28. 507 

28.494 

28.482

28.470

28. 456 

28. 442 

28.428 

28.415 

28. 401

28.387

28. 372 

28.357 

.28. 342 

28. 327 

28. 311

28.296

28.280 

28.263 

28.246 

28.230 

28.213

28.196

28.178 

28. 160 

28. 142 

28. 124 

28. 106

28.088

28.069 

28. 049 

28. 030 

28. 010 

27. 991

27. 971

30' longitude.

Inches. 

34.330

34. 317 

34. 304 

34. 291 

34. 278 

34.265

34.252

34.237 

. 34. 222 

34. 208 

34.193 

34. 178

34.163

34. 147 

34.130 

34. 114 

34. 097 

34. 081

34. 064

34.046 

34.028 

34.010 

33.992 

33. 973

33. 955

33. 935 

33. 915 

33. 895 

33.875 

33. 855

33.835

33.814 

33.792 

33. 770 

33. 749 

33. 727

33. 706

33.682 

33.659 

33. 635 

33. 612 

33.589

33. 565

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

' 5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

70

Inch. 

0.000 

.002 

005 

.008 

.013 

.018

9°

0.001 

.003 

.006 

.010 

.016 

.023

11°

0.001 

.003 

.007 

.013 

.020 

.028

.13°

0.001 

.004 

.008 

.015 

.023 

.033

8°

Inch. 

0.001 

.002 

.005 

.009 

.014 

.021

10°

0.001 

.003 

.006 

.011 

.018 

.026

12°

0. 001 

.003 

.008 

.014 

.021 

.031

14°

0.001 

.004 

.009 

.016 

.025 

.035
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

 Continued.

61

TABLE 7. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O '

14 00

10 

20 

30 

40 

50

15 00

10 

20 

30 

40 

50

16 00

10 

20 

30 

40 

50

17 00

10 

20 

30 

40 

50

18 00

10 

20 

30 

40 

50

19 00

10 

20 

30 

40 

60

20 00

10 

20 

30 

40 

50

21 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

68. 740

11.458 

22. 915 

34. 373 

45.830 

57.288

68. 746

11.459 

22.917 

S4.37& 

45.834 

57. 293

68. 752

11.460 

22. 919 

34.379 

45.838 

57.298

68. 758

11. 461 

22. 921 

34. 382 

45.843 

57. 304

68. 764

11.462 

22. 924 

34. 386 

45.848 

57.310

68. 771

11. 463 

22. 926 

.34. 390 

45.853 

57. 316

68. 779

11.464 

22. 929 

34. 394 

45.858 

57. 322

68. 787

Abscissas of developed parallel.

5' longitude.

Inches. 

5.594

5.590 

5.586 

5.582 

5.578 

5.573

5.569

5.565 

5.560 

5.556 

5.551 

5. 547

5.542

5.538 

5.533 

5.528 

5.524 

5.519

5.514

5.509 

5.504 

5.499 

5. 494 

5.489

5,484

5.479 

5.473 

5.468 

5.463 

5.458

5.452

5.447 

5.441 

5.436 

5.430 

5.424

5.419

5.413 

5.407 

5.401 

5.396 

5.390

5.384

10' longitude.

Inches. 

11. 188

11. 180 

11. 172 

11. 163 

11.155 

11.147

11. 138

' 11.130 

11. 121 

11. 112 

11. 103 

11. 094

11.085

11. 076 

11.066 

11.057 

11. 047 

11. 038

11. 028

11. 018 

11.008 

10. 998 

10. 988 

10. 978

10.968

10. 967 

10.947 

10. 936 

10. 926 

10. 915

10.905

10. 893 

10.882 

10.871 

10. 860 

10.849

10. 838

10. 826 

10. 814 

10. 803 

10. 791 

10. 779

10. 768

15' longitude.

Inches. 

16. 783

16. 770 

16. 758 

16. 745 

16.733 

16. 720

16.708

16. 694 

16. 681 

16. 667 

16. 654 

16. 641

16.628

16. 613 

16.599 

16.585 

16.571 

16. 556

16. 542

16. 527 

16.512 

16. 497 

16. 482 

16. 467

16. 452

16. 436 

16. 420 

16. 404 

16. 389 

16.373

16. 357

16. 340 

16. 324 

16.307 

16.290 

16.274

16. 257

16. 239 

16.222 

16. 204 

16. 187 

16. 169

16.151

20' longitude.

Inches. 

22. 377

22.360 

22. 344 

22. 327 

22. 310 

22. 294

22. 277

22.259 

22.241 

22. 223 

22.206 

22.188

22. 170

22.151 

22. 132 

22. 113 

22. 094 

22. 075

22. 056

22.036 

22.016 

21. 996 

21. 976 

21. 956

21. 936

21. 915 

21. 894 

21.872 

21. 852 

21.830

21. 809

21. 787 

21. 765 

21. 742 

21. 720 

21. 698

21. 676

21. 652 

21. 629 

21.605 

21. 582 

21. 558

21.535

25' longitude.

Inches. 

27. 971

27.950 

27. 930 

27. 909 

27.888 

27.867

27. 846

27. 824 

27.802 

27. 779 

27. 757 

27.735

27. 713

27. 689 

27. 665 

27. 642 

27.618 

27.594

27.571

27. 546 

27. 521 

27. 495 

27.470 

27.446

27.420

27. 394 

27. 367 

27.341 

27. 315 

27.288

27. 262

27. 234 

27. 206 

27. 178 

27.150 

27.123

27. 095

27! 065 

27. 036 

27. 007 

26. 978 

26. 948

26!919

30' longitude.

Inches. 

33.565

33. 540 

33. 515 

33. 490 

33.465 

33.440

33. 415

33.389 

33.362 

33.335 

33. 308 

33.282

'33.255

33. 227 

33. 198 

33. 170 

33. 142 

. 33.113

33. 085

33. 055 

33.025 

32. 994 

32.964 

32.934

32.904

32. 872 

32.840 

32.809 

32. 777 

32. 746

32. 714

32. 680 

32. 647 

32. 614 

32. 580 

32. 547

32. 513

32. 478 

32. 443 

32.408 

32. 373 

32. 338

32. 303

Ordinates of developed 

parallel.

Longitude 

interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

14°

Inches. 

0.001 

.004 

.009 

.016 

.025 

.035

16°

0.001 

.004 

.010 

.018 

.028 

.040

18°

0.001 

.005 

.011 

.020 

.031 

.044

20°

0.001 

.005 

. 012 

.022 

.034 

.049

15°

Inches. 

0.001 

.004 

 .009 

.017 

.026 

.038

17°

0. 001 

.005 

.011 

.019 

.029 

.042

19°

0.001 

.005 

.012 

.021 

.032 

.046

21°

0.001 

.006 

.013 

.022 

.035 

.051
62 GEOGRAPHIC TABLES AND FORMULAS. [nuu,234.

TABLE 7. Coordinates for projection of maps (scale Trsireo') Continued; 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

21 00

10 

20 

30 

40 

50

22 00

10 

20 

30 

40 

50

23 00

10 

20 

30 

40 

50

24 00

10 

20 

30 

40 

50

25 00

10 

20 

30 

40 

50

26 00

10 

20 

30 

40 

50

27 00

10 

20 

30 

40 

50

28 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

68. 787

11.466 

22. 932 

34.397 

. 45.863 

57. 329

68. 795

11. 467 

22. 934 

34. 401 

. 45. 868 

57. 336

68. 803

11. 469 

22. 937 

34.406 

45. 874 

57. 343

68. 812

11. 470 

22. 940 

34. 410 

45. 880 

57.350

68. 821

11. 472 

22. 943 

34. 415 

45. 886

57. 358

68. 830

11. 473 

22. 946 

34. 419 

45.892 

57. 365

68.838

11. 475 

22. 950 

34.424 

45. 899 

57. 374

68.849

Abscissas of developed parallel.

5' longitude.

Inches. 

5.384

5.378 

5.372 

5.366 

5.359 

5.353

5.347

5.341 

5.334 

5.328 

5.322 

5.315

5.309

5.302 

5.296 

5.289 

5.282 

5.276

5.269

5.263 

5.256 

5.249 

5.242 

5.235

5.227

5.220 

5.213 

5.206 

5.199 

5.191

5.184

5.177 

5.169 

5.162 

5.154 

5.147

5.140

5.132 

5.124 

5.116 

5.109 

5.101

5.093

10'longi- 

 tude.

Inches. 

10. 768

10. 755 

10. 743 

10. 731 

10.719 

10. 707

10. 694

10. 682 

10. 669 

.10. 656 

10. 643 ' 

10. 631

10. 618

10. 604 

10.591 

10. 578 

10. 565 

10. 551

10. 538

10. 526 

10. 512 

10. 498 

10. 483 

10. 469

10. 455

10. 441 

10. 426 

10. 412 

10.397 

10.383

10. 369

. 10. 354 

10. 339 

10. 324 

10. 309 

10.294

10. 279

10.264 

10. 248 

10. 233 

10. 218 

10.202

10. 187

15'longi- 

 tude.

Inches. 

16. 151

16. 133 

. 16. 115 

16. 097 

16. 078 

16. 060

16. 042

16. 022 

16.003 

15.984 

15. 965 

15. 946

15.927

15.907 

15. 887 

15. 867 

15. 847 

15. 827

15. 807

15. 789 

15. 767 

15. 746 

15. 725 

15. 704

15. 682

15. 661 

15. 639 

15. 618 

15. 596 

15. 575

15.553

15.531 

15. 508 

15.486 

15.463 

15. 441

15.419

15. 396 

15. 373 

15. 349 

15. 326 

15. 303

15.280

20' longitude.

Inches. 

21.535

21. 511 

21. 486 

21. 462 

21.438 

21. 413

21. 389

21. 363 

21.338 

21. 312 

21. 287 

21. 261

21. 236

21.209 

21. 182 

21. 156 

21. 129 

21. 102

21.076

21.052 

21. 023 

20. 995 

20. 967 

20. 938

20. 910

20.881 

20. 852 

20. 824 

20. 795 

20. 766

20. 737

20. 708 

20. 678 

20. 648 

20. 618 

20.588

20. 558

20.528 

20.497 

20. 466 

20. 435 

20. 404

20. 374

25' longi1 .tude.

Inches. 

26. 919

26.889 

26. 858 

26. 828 

26. 797 

26. 767

26. 736

26. 704 

26. 672 

26.641 

26. 609 

26. 577

26. 545

26.511 

26. 478 

26. 445 

26. 412 

26. 378

26. 345

26. 315 

26. 279 

26. 244 

.26. 209 

26. 173

26.137

26. 101 

26. 065 

26. 029 

25. 993 

25.958

25. 922

25.884 

25.847 

25.810 

25. 772 

25.735

25. 698

25. 659 

25. 621 

25. 582 

25. 544 

25. 505

25. 467

30' longitude.

Inches. 

32. 303

32. 266 

32.230 

32. 193 

32. 156 

32. 120

32. 083

32. 045 

32. 006 

31. 969 

31. 930 

31.892

31.853

31.813 

31. 774 

31. 733 

31.694 

31. 654

31. 614

31. 577 

31. 535 

31. 493 

31.450 

31.408

31. 365

31.322 

31.279 

31. 235 

31.192 

31.149

31. 106

31. 061 

31.017 

30. 972 

30. 927 

30.882

30. 838

30. 791 . 

30. 745 

30. 699 

30. 653 

30. 607

30. 560

Orcliuates of developed 

parallel.

Longitude interval.

5

. 10

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

21°

Inches. 

0.001 

.006 

.013 

.022 

.035 

.051

23°

0. 001 

.006 

.014 

.024 

.038 

.054

25°

0.002 

.006 

.014 

.026 

.040 

.058

27°

0.002 

.007 

.015 

.027 

.042 

.061

22°

Inches. 

0.001 

.006 

.013 

.023 

.036 

.052

24°

0.002 

.006 

.014 

.025 

.039 

.056

26°

0.002 

.007 

.015 

.026 

.041 

.059

28°

0.002 

.007 

.016 

. 028 

.043 

.063
GANNETT.] GEOGKAPHIC TABLES AND FOEMULAS.

 Continued.

63

TABLE 7. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

28 00

10 

20 

30 

40 

50

29 00

10 

20 

30 

40 

50

30 00

10 

20 

30 

40 

50

31 00

10 

20 

30 

40 

50

32 00

10 

20 

30 

40 

50

33 00"

10 

20 

30 

40 

50

34 00

10 

20 

30 

40 

50

35 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

68.849

11. 476 

22. 953 

34. 430 

45. 906 

57. 383

68.859

11.478 

22. 957 

34. 435 

45. 913 

57. 391

68.870

11.480 

22.960 

 34.440 

45. 920 

57. 400

68.880

11. 482 

22.964 

34.446 

45. 927 

57. 409

68. 891

11. 484 

22. 967 

34. 451 

45. 934 

57.418

68. 902

11. 485 

22. 971 

34.456 

45.942 

57. 427

68. 913

11. 487 

22.975 

34.462 

45. 949 

57.437

68. 924

Abscissas of developed parallel.

5' longitude.

Indies. 

5.093

5.085 

5.077 

5.069 

5.061 

5.054

5.046

5.037 

6.029 

5.021 

6.013 

5.004

4.996

4.988 

4.979 

4.971 

4. 962 

4.954

4. 945

4.937 

4.928 

4.919 

4.910 

4. 902

4.893

4.884 

4.875 

4.866 

4.857 

4.848

4.839

4.830 

4.821 

4.812 

4.802 

4.793

4.784

4.774 

4.765 

4.755 

4.746 

4.737

4.727

10' longitude.

Inches. 

10. 187

10. 171 

10.155 

10. 139 

10. 123 

10. 107

10. 091

10. 075 

10.058 

10. 042 

10. 025 

10. 009

9.993

9.976 

9.959 

9.942 

9. 925 

9. 908

9. 891

9.873 

9.856 

9. 838 

9. 821 

9.804

9.786

9.768 

9.750 

0.732 9.714' 

9.696

9.679

9.660 

9.642 

9.623 

9.605 

9.586

9.568

9.549 

9.530 

9.511 

9.492 

9.473

9.454

15' longitude.

Indies. 

15. 280

15.256 

15. 232 

15. 208 

15. 185 

15. 161

15. 137

15. 112 

15. 087 

15. 063 

15.038 

15. 013

14.989.

14. 963 

14.938 

14. 912 

14.887 

.14.862

14. 836

14.810 

14. 784 

14. 758 

14. 731 

14. 705

14. 679

14. 652 

14. 625 

14.598 

14. 572 

14. 545

14. 518

14. 490 

14.462 

14.435 

14. 407 

14. 379

14. 352

14. 323 

14. 295 

14. 267 

14. 238 

14. 210

14. 181

20' longitude.

Inches. 

20. 374

20.342 

20. 310 

20. 278 

20. 246 

20. 214

20. 182

20. 150 

20. 117 

20.084 

20. 051 

20. 018 ,

19. 985

19. 951 

19. 917 

19. 883 

19. 849 

19.815

19. 782

19. 747 

19. 712 

19. 677 

19. 642 

19. 607

19. 572

19.536 

19. 500 

19.465 

19. 429 

19. 393

19. 357

19. 320 

19.283 

19.246 

19. 210 

19. 173

19. 136

19.098 

19. 060 

19.022 

18.984 

18. 946

18. 908

25' longitude.

Inches. 

25.467

25. 427 

25. 387 

25. 347 

25. 308 

25. 268

25. 228

25. 187 

25.146 

25. 105 

25. 064 

25.022

24. 981

24. 939 

24. 896 

24. 854 

24.812 

24. 769

24. 727

24.683 

24. 640 

24.596 

24.552 

24. 509

24. 465

24. 420 

24. 376 

24. 331 

24.286 

24. 241

24. 196

24. 150 

24. 104 

24.058 

24.012 

23. 966

23. 920

23.872 

23.825 

23. 778 

23. 730 

23.683

23. 636

30' longitude.

Inches. 

30. 560

30.513 

30.465 

30. 417 

30. 369 

30. 321

30. 274

30.224 

30. 175 

30.126 

30. 076 

30.027

29. 978

29. 927 

29. 876 

29. 825 

29. 774 

29. 723

29. 672

29. 620 

29. 568 

29. 515 

29.463 

29. 411

29.358

29.305 

29. 251 

29. 197 

29. 143 

29.089

29. 036

28. 980 

28. 925 

28.870 

28.814 

28. 759

28.704

28.647 

28.590 

28.533 

 28.476 

28. 420

28. 363

Ordir.ates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

6 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

28° .

Inches. 

0.002 

.007 

.016 

.028 

.043 

.063

30° 

 0.002 

.007 

.016 

.029 

.045 

.065

32°

0.002 

.007 

.017 

.030 

.047 

.068

34°

0.002 

.008 

.017 

.031 

.049 

.070

29°

Inches. 

0.002 

.007 

.016 

.028 

.044 

.064

31°

0.002 

.007 

.017 

.030 

.046 

.067

33°

0.002 .008 ' 

.017 

.031 

.048 

.069

35°

0.002 

.008 

.018 

.031 

.049 

.071
64 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

TABLE 7. Coordinates for projection of maps (scale eTTorTr) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o /

35 00

10 

20 

30 

40 

50

36 00

10 

20 

30 

40 

50

37 00

10 

20 

30 

40 

50

38 00

10 

20 

30 

40 

50

39 00

10 

20 

30 

40 

50

40 00

10 

20 

30 

40 

50

41 00

10 

20 

30 

40 

50

42 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

68. 924

11. 489 

22. 978 

34. 468 

45. 957

67. 446

68.935

11. 491 

22.983 

34. 474 

45. 965 

57.457

68.948

11.493 

22. 986 

34. 480 

45. 973 

57.466

68. 959

11. 495 

22.990 

34.485 

45. 980 

57. 475

68. 970

11.497 

22. 994 

34.491 

45. 988

57.485

68. 982

11. 499 

22. 998 

34. 497 

45. 996 

57.495

68.994

11. 501 

23.002 

34. 503 

46. 004 

57.506

69.007

Abscissas of developed parallel.

5' longitude.

Inches. 

4.727

4.717 

4.708 

4.698 

4. 688 

4.679

4.669

4.659 

4.649 

4.639 

4.629 

4.619

4. 609

4.599 

4.589 

4.579 

4.568 

4.558'

4.548

4.538 

4. 527 

4.517 

4.506 

4.496

4.486

4.475 

4.464 

4.454 

4.443 

4.433

4.422

4:411 

4.400 

4.389 

4.378 

4.368

4.357

4.346 

4.335 

4. 324 

4.312 

4.301

4.290

10'longi- 

. tude.

- Inches. 

9.454

9.435 

9.415 

9.396 

0.377 

9.357

9.338

9.318 

9.298 

9.278 

9.258 

9.238

9.219

9.198 

9.178 

9.157 

9.137 

9.117

9.096

9.076 

9.055 

9.034 

9.013 

8.992

8.971

8.950 

8.929 

8.908 

8.886 

8.865

8.844

8.822 

8.800 

8.779 

8.757 

8.735

8.713

8.691 

8.669 

8.647 

8.625 

8.603

8.581

15' longitude.

Inches. 

14.181

14.152 

14. 123 

14. 094 

14.065 

14. 036

14. 007

' 13.977 

13.947 

13.917 

13. 887 

13. 858

13. 828

13. 797 

13. 767 

13. 736 

13. 706 

13. 675

13. 645

13. 613 

13.582 

13. 551 

13.520 

13.488

13.467

13.425 

13. 393 

13. 361 

13. 330 

13. 298

13. 266

13. 233 

13.201 

13.168 

13. 135 

13^103

13.070

13. 037 

13.004 

12. 971 

12. 937 

12. 904

12.871

20' longitude.

Inches. 

18. 908

18.870 

18.831 

18. 792 

18. 753 

18.714

18. 676

18. 636 

18. 596 

18. 556 

18. 517 

18. 477

18.437

18. 396 

18. 356 

18.315 

18.274 

18. 234

18. 193

18.151 

18. 109 

18. 068 

18. 026 

17. 984

17. 943

17. 900 

17.858 

17. 815 

17. 773 

17. 730

17. 688

17. 644 

17. 601 

17. 557 

17. 514 

17.470

17. 427

17. 383 

17. 338 

17. 294 

17. 250 

17. 205

17.161

25' longitude.

Inches. 

23. 636

23. 587 

23.539 

23. 490 

23.442 

23. 393

23. 345

23.295 

23. 245 

23. 195 

23. 146 

23. 096

23. 046 '

22. 995 

22. 944 

22. 894 

22. 843 

22. 792

22. 741

22. 689 

22. 637 

22. 585 

22. 533 

22.481

22. 429

22. 375 

22. 322 

22. 269 

22. 216 

22. 163

22. 110

22. 055 

22. 001 

21. 947 

21.892 

21. 838

21. 784

21. 728 

21. 673 

21. 618 

21. 562 

21. 507

21.451

30' longitude.

Inches. 

28.363

28. 305 

28. 246 

28.188 

28. 130 

28. 072

28. 014

27. 954 

27. 894 

27. 835 

27. 775 

27. 715

27. 656

27. 594 

27. 533 

27.472 

27. 411 

27. 350

27. 289

27. 227 

27. 164 

27. 102 

27. 039 

26. 977

26. 914

26. 851 

26. 787 

26. 723 

26. 659 

26. 595

26. 532

26. 466 

26. 401 

26. 336 

26. 271 

26. 206

26. 140

26. 074 

26. 007 

25. 941 

25.875 

25.808

25. 742

Ordinates of developed 

parallel.

Longitude 

interval.

/ 

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

35°

Inches. 

0.002 

.008 

.018 

.031 

.049 

.071

37°

0.002 

.008 

.018 

.032 

.050 

.073

39°

0.002 

.008 

. 0.1 8 

.033 

.051 

.074

41°

0.002 

.008 

.019 

.033 

.052 

.075

36°

Inches. 

0.002 

.008 

.018 

.032 

.050 

.072

38°

0.002 

.008 

.018 

.033 

.051 

.073

40°

0.002 

.008 

.019 

.033 .052- 

.074

42°

0.002 

.008 

.019 

.033 

.052 

.075
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 65

TABLE 7. Coordinates for projection of maps (scale 0^1171) Continued. 

[From Sraithsonian Geographical Tables.]

Latitude of 

parallel.

0 /

42 00

10 

20 

30 

40 

50

43 00

10 

20 

30 

45 

50

 44 00

10 

20 

30 

40 

50

45 00

10 

20 

30 

40 

50

46 00

10 

20 

30 

40 

50

47 00

10 

20 

30 

40 

50

48 00

10 

20 

30 

40 

50

49 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

69. 007

11. 503 

23.006 

34. 510 

46. 013 

57. 510

69. 019

11.505 

23. 010 

34. 515 

46. 020 

57. 525

69. 030

11. 507 

23. 014 

34. 522 

46. 029 

57. 536

69. 043

11.509 

23. 018 

34.528 

46. 037 

57. 546

69. 055

11.511 

23. 023 

34. 534 

46. 045

57. 557

69. 068

11. 513 

23. 027 

34.540 

46.053 

57. 567

69.080

11. 516 

23. 031 

34.546 

46. 062

'57.577

69. 093

Abscissas of developed parallel.

5' longitude.

Inches. 

4.290

4.279 

4. 208 

4. 256 

4. 245 

4. 234

4. 222

4. 211 

4.199 

4. 188 

4.176 

4. 165

4.153

4.142 

4.130 

4. 118 

4.106 

4.095

4.083

4.071 

4.059 

4.047 

4.035 

4.023

4.011

3.999 

3.987 

3.975 

3.963 

3. 951

3.938

3.926 

 3.9.14 

3.901 

3.889 

3.877

3.864

3.852 

3.839 

3.827 

3.814 

3.802

3.789

10' longitude.

Inches. 

8.581

8.558 

8.535 

8.513 

8.490 

8.467

8. 445

8. 422 

8.399 

8.376 

8.353 

8.330

8.307

8.283 

8. 200 

8. 230 

8.21?. 

8.189

8. 166

8. 142 

8. 118 

8.094 

8. 070 

8. 046

8. 023

7.998 

7. 974 

7.950 

7. 925 

7.901

7.877

7. 852 

' 7. 827 

7.803 

7.778 

7.753

7.729

7.704 

7.079 

7.053 

7.028 

7.603

7.578

15' longitude.

Inches. 

12. 871

12. 837 

12. 803 

12. 769 

12.735 

12. 701

12.667

12. 633 

12. 598 

12. 564 

12.529 

12. 494

12. 460

12. 425 

12. 390 

12.354 

12. 319 

12. 284

' 12.249

12. 213 

12.177 

12.141 

12. 105 

12. 070

12. 034

11. 997 

11.961 

11. 925

 11.888 

, 11. 852

11. 815

11. 778 

11. 741 

11. 704 

11. 667 

11. 630

11. 593

11. 555 

11. 518 

11. 480 

11.442 

11.405

11. 367

20' longitude.

Inches. 

17. 161

17. 110 

17. 071 

17. 025 

16.980 

16. 935

16.890

10. 844 

16. 798 

16. 751 

16.705 

16. 659

16. 613

16:500 

10.519 

16. 473 

16. 420 

16. 379

16. 332

16. 284 

16. 236 

10. 188 

16. 141 

16. 093

10. 045

15. 997 

15.948 

15. 899 

15. 851 

15. 802

15. 754

15. 704 

15. 055 

15. 006 

15. 556 

15. 507

15. 457

15. 407 

15. 357 

15. 307 

15.257 

15. 206

15. 156

25' longitude.

Inches. 

21.451

21. 395 

21. 338 

21. 282 

21.225 

21. 169

21. 112

21.054 

20. 997 

20. 939

20.882 

20. 824

20. 707

20. 708 

20. 049 

20. 591 

20. 532 

20. 473

20.415

20. 355 

20. 295 

20. 230 

20.176 

20. 116

20. 056

19. 996 

19. 935 

19. 974 

19.813 

19. 753

19. 692

19. 030 

19. 569 

19. 507 

19. 445 

19. 383

19. 322

19. 259 

19. 196 

19. 134 

19. 071 

19. 008

18. 945

30' longitude.

Inches. 

25. 742

25. 674 

25. 606 

25. 538 

25. 470 

25. 402

25. 334

25. 265 

25. 190 

25.127 

25. 058 

24. 989

24. 920

24. 849 

24. 779 

24. 709 

24. 038 

24. 568

24. 498

24. 426 

24.354 

24. 283 

24. 211 

24. 139

24.008

23. 995 

23. 922 

23. 849 

23. 770 

23. 703

23. 630

23. 556 

23. 482 

23. 408 

23. 334 

23. 260

23. 186

23.111 

23. 035 

22. 960 

22. 885 

22. 810

22. 734

Ordi nates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20

' 25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

42°

Indies. 

0. 002 

.008 

.019 

.033 

. 052 

.075

44°

0.002 

.008 

.019 

.034 

.052 

.075

46°

0.002 

.008 

.019 

.034 

.053 

.076

48°

0.002 

.008 

.019 

.033 

.052 

.075

43°

Inches. 

0. 002 

.008 

.019 

.033 

. 052 

.075

45°

0.002 

.008 

.019 

.034 

.053 

.076

47°

0.002 

.008 

.019 

.034 

.052 

.075

49°

0.002 

.008 

.019 

.033 

.052 

.075

Bull. 234 04-
66 GEOGRAPHIC TABLES AND FORMULAS. . [BULL. 234.

TABLE 7. Coordinates for.projection of maps (scale ^-ylnr) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O 1

49 00

10 

20 

30 

40 

50

50 00

10 

20 

30 

40 

50

51 00

10 

20 

30 

40 

50

52 00

10 

20 

30 

40 

50

53 00

 10

20 

30 

40 

50

54 00

10 

20 

30 

40 

60

55 00

10 

20 

30 

40 

50

56 00

Meridional distances 

from 

even 

degree 

parallels.

Inches. 

69. 093

11. 517 

23. 035 

34. 552 

46. 070

57. 587

69. 105

11.520 

23.039 

34. 558 

46. 078 

57. 598

69. 117

11.521 

- 23. 043 

34. 564 

46. 086 

57. 607

' 69.128

11. 523 

23. 047 

34. 570 

46. 094 

57. 617

69. 140

. 11. 525 

23. 051 

34. 576 

46. 102 

57. 627

69. 152

11.527 

23.055 

34. 582 

46. 109 

57. 636

69.164

11. 529 

23. 059 

34. 588 

46. 117 

'57. 646

69. 176

Abscissas of developed parallel.

5' longitude.

Inches. 

3.789

3.776 

3.764 

3.751 

3.738 

3.725

3.713

3. 700 

3. 687 

3.674 

3.661 

3.648

3.635

3.622 

3.609 

3. 596 

3.583 

3.570

3.556

3.543 

3.530 

3.516 

3.503 

3.490

3.477

3.463 

3.450 

3. 436 

3.423 

3. 409

3.396

3.382 

3.368 

3.355 

3.341 

3.327

3.314

3.300 

3.286 

3.272 

3.258 

3.245

3.231

10' longitude.

Inches.

7.578

7.553 

7.527 

7.502 

7.476 

7.451

7.425

7.399 

7.374 

7.348 

7.322 

7.296

7.270

7.244 

7.218 

7.191 

7.165 

7.139

 7. 113

7.086 

7.060 

7.033 

7.006 

6.980

6.953

6.926 

6.899 

6.872 

6.845 

6.818

6.791

6.764 

6.737 

6.709 

6.682 

6.655

6.628

6.600 

6. 572 6. 545' 

6.517 

6.489

6.462

15' longitude.

Inches. 

11. 367

11. 329 

11. 291 

11. 253 

11. 214 

11. 176

11.138

11. 099 

11. 060 

11. 021 

10. 983 

10.944

10. 905

10. 866 

10. 827 

10. 787 

10. 748 

10. 709

10. 669

10. 629 

10. 589 

10. 550 

. 10.510 

10. 470

10. 430

10. 389 

10. 349 

10. 309 

10. 268 

10. 228

10. 187

10. 146 

10. 105 

10. 064 

10.023 

9.982

9.941

9. 900 

9.859 

9.817 

9.776 

9.734

9.693

20' longitude.

Inches. 

15. 156

15. 105 

15.054 

15. 003 

14. 952 

14. 901

14. 850

14. 799 

14. 747 

14. 695 

14. 644 

14. 592

14. 540

14. 488 

14. 436 

14. 383 

14. 330 

14. 278

14. 226

14. 172 

14. 119 

14. 066 

14. 013 

13. 960

13. 906

13.852 

13. 798 

13. 745 

13. 691 

13. 637

13. 583

13. 528 

13. 474 

13. 419 

13.364 

13. 310

13. 255

13. 200 

13. 145 

13. 089 

13. 034 

12. 979

12.924

25' longitude.

Inches. 

18. 945

18.882 

18. 818 

18. 754 

18. 690 

18. 627

18. 563

18.499 

18. 434 

18. 369 

18. 305 

18. 240

18. 176

18. 110 

18. 045 

17. 979 

17. 913 

17. 848

17. 7«2

17. 71C 

17.649 

17. 583 

17. 516 

17.450

17. 383

17. 316 

17. 248 

17. 181 

17. 114 

17.046

16.979

16. 910 

' 16.842 

16. 774 

16. 706 

16. 637

16. 569

16. 500 

16. 431 

16. 362 

16. 293 

16. 224

16. 155

30' longitude.

Inches. 

22. 734

 22.658 

22.581 

22.505 

22. 429 

22.352

22.276

22. 198 

22. 121 

22. 043 

21. 965 ' 

21. 888

21. 811

21. 732 

21. 653 

21. 574 

21. 496 

21. 417

21. 338

21. 259 

21. 179 

21.099 

21.019 

20. 939

20.860

20. 779 

20. 698 

20. 617 

20. 536 

20.455

20.374

20. 292 

20,210 

20. 128 

20.047 

19. 964

19.883

19. 800 

19. 717 

19. 634 

19. 551 

19. 468

19. 385

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

49°

Inches. 

0.002 

.008 

.019 

.033 

.052 

.075

. 51°

0.002 

.008 

.019 

.033 

.051 

.074

53°

0.002 

.008 

 .018 

.032 

.050 

.073

55°

0. 002 

.008 

.018 

.032 

.049 

.071

50°

Inches. 

0. 002 

.008 

.019 

.033 

.052 

.075

52°

0.002 

.008 

.018 

.033 

.051 

.073

54°

0.002 

.008 

.018 

.032 

.050 

.072

56°

0.002 

.008 

.018 

.031 

.049 

.070
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TT) Continued.

67

TABLE 7. Coordinates for projection of maps (scale fT 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

0 /

56 00

10 

20 

30 

40 

60

57 00

10 

20 

30 

40 

50

58 00

10 

20 

30 

40 

50

. 59 00

10 

20 

30 

40 

50

60 00

10 

20 

30 

40 

50

61 00

10 

20 

30 

40 

50

62 00

10 

20 

30 

40 

50

63 00

Meridional distances 

from 

even 

degree 

parallels.

Indies. 

69. 176

11. 531 

23. 063 

34. 594 ' 

46. 125 

57. 656

69. 188

11. 533 

23. 066 

34. 599 

46. 132 

57. 666

69. 199

11. 535 

23. 070 

34. 605 

46. 140 

57. 675

69.210

11. 537 

23. 074 

34. 610 

46. 147 

57.684

69. 221

11. 539 

23. 077 

34. 616 

46. 154 

57. 693

69. 232

11. 540 

23. 081 

34. 621 

46. 162 

57. 702

09. 242

11. 542 

23.084 

34. 626 

46. 168 

57. 710

69. 253

Abscissas of developed parallel.

5' longitude.

Indies. 

3:231

3.217 

3.203 

3.189 

3. 175 

3. 161

3. 147

3.133 

3.119 

3. 104 

3.090 

3.076

3.062

3.048 

3. 034 

3. 019 

3.005 

2.991

2. 976

2.962 

2. 947 

2.933 

2. 918 

2.904

2.890

2.875 

2.860 

2.846 

2.831 

2.816

2.802

2.787 

2.772 

2. 758 

2.743 

2. 728

2.713

2.699 

2. 684 

2.669 

2.654 

2.639

2. 624

10' longitude.

Inches. 

6.462

6.434 

6.406 

6.378 

6. 350 

6.322

6.294

6.266 

6.237 

6.209 

6. 181 

6.152

6.124

6. 096 

6.067 

6.038 

6.010 

5.981

5..95S

5. 924 

5.895 

5.866 

5.837 

5.808

5.779

5.750 

5. 721 

6.691 

5.662 

5.633

6.604

5.574 

5.545 

 5.115 

5. 486 

5. 456

5. 427

5. 397 

5. 367 

5. 337 

5. 308

5.278

5.248

15' longitude.

Inches. 

9.693

9.651 

9.609 

9. 567 

9.525 

9.483

9.441

9.398 

9.356 

9. 314 

9. 271 

9.229

9. 186

9. 143 

9. 101 

9.058 

9.015 

8.972

8. 929

8.885 

8.842 

8.799 

8.755 

8.712

8.669

8.625 

8. 581 

8.537 

8.493 

8.450

8.406

8.361 

8.317 

8. 273 

8.229 

8.184

8.140

8.096 

8.051 

8. 006 

7.901 

7.917

7.872

20' longitude.

Inches. 

12.924

12. 868 

12. 812 

12.756 

12.700 

12. 644

12.588

12. 531 

12. 475 

12. 418 

12. 362 

12. 305

12. 248

12. 191 

12. 134 

12. 077 

12. 020 

11. 962

11. 905

11.847 

11. 790 

11. 732 

11. 674 

11. 616

11. 558

11. 500 

11. 441 

11.383 

11. 324 

11. 266

11. 208

11. 148 

11.090 

11. 030 

10. 972 

10. 912

10.854

10. 794 

10. 734 

10. 675 

10. 615 

10. 556

10. 496

25' longitude.

Inches. 

16. 155

16. 085 

16.015 

15. 945 

15. 875 

15. 805

15. 735

15.664 

15. 594 

15. 523 

15. 452 

15. 381

15. 311

15.239 

15. 168 

15. 096 

15.025 

14. 953

14. 882

14. 809 

14. 737 

14.665 

14. 592 

14. 520

14.448

14. 375 

14. 302 

14. 229 

14. 156 

14. 083

14. 010

13. 936 

13. 862 

13. 788 

13. 715 

13.641

13. 567

13. 493 

13.418 

13. 344 

13. 269 

13. 195

13.120

-iO' longitude.

Inches. 

19. 385

19. 301 

19. 217 

19. 134 

19.050 

18. 966

18.882

18.797 

18. 712 

18. 627 

18. 542 

18.457

18.373

18. 287 

18. 201 

18. 115 

18/029 

17. 944

17.858

17. 771 

17. 684 

17. 597 

17.510 

17. 424

17.337

17. 249 

17. 162 

17. 074 

16. 987 

16. 899

16. 811

16. 723 

16. 634 

16. 546 

16. 457 

16. 369

16. 280

16.191 

16. 102 

16. 012 

15. 923 

15.833

15. 744

Ordinates of developed 

parallel.

Longitude 

interval.

/ 

5 

10 

' 15 

20 

25 

30

5 

10 

15 

20

25 

30

5 10- 

1.5 

20 

25 

30

5 

10 

15 

20 

25 

30

56°

Inches. 

0.002 

.008 

.018 

-. 031 

.049 

.070

58°

0. 002 

.008 

.017 

.030 

.047 

.068

60°

0.002 

.007 

.016 

.029 

.045 

.065

62°

0.002 

.007 

.016 

.028 

.044 

.063

57° '

Inches. 

0.002 

.008 

.017 

.031. 

.048 

.069

59°

0. 002 

.007 

.017 

.030 

.046 

.067

61°

0.002 

.007 

.016 

.029 

.045 

.064

63°

0.002 

.007 

.015 

.027 

.043 

.061
68 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

TABLE 7. Coordinates for projection of maps (scale -g-^^^) Continued. 

[From Smlthsonian Geographical Tables.]

Latitude of ' 

parallel.'

o / 

63 00

1, 

20 

30 

40 

50

64 ' 00

10 

20 '30 

40 

50

65 00

10 

20 

30 

40 

50

66 00

10 

20 

30 

. 40 

50

67 00

10 

20 

30 

40 

50

68 00

10 

20 

30 

40 

50

69 00

10 '20 

30 

40 

.50

70 '00

Meridional distances 

from, 

even 

degree 

parallels.

Inches. 

69.253

11.544 

23. 087 

34. 631 

46. 175 

57.718

69.262

11.545 

23. 091 

34. 636 

46. 182

57. 727

69. 272

11.547 

' 23. 094 

34. 641 

46. 188 

57. 735

69. 282

11.548 

23. 097 

34. 646 

46. 194

57. 742

69. 291

. 11.550 

23. 100 

34. 650 

46. 200'

57. 750

69. 300

11. 552 

23. 103 

34.654 

46. 206 

57. 758

69. 309

11.553 

23. 106 

34.659 

46. 212 

57. 764

69. 317

Abscissas of developed parallel.

5' longitude.

Indies. 

2.624

2.609 

2.594 

2.579 

2.564 

2.549

2. 534

2.519 

2.504 

2.488 

2.473 

2.458

2.443

2.428 

2.412 

2.397 

2.382 

2.366

' 2. 351

2.336 

2.320 

2.305 

2.290 

2.274

2.259

2.243 

2.228 

2.212 

2.197 

2.181

2.166

2.150 

2.134 

2.119 

2.103 

2.088

2.072

2.056 

2.040 

2.025 

2.009 

1.993

1.977

10' longitude.

Inches. 

5.248

5.218 

5.188 

5.158 

5.128 

5.098

5. 068

5.037 

5.007 

4.977 

4.947 

4.916

4.886

4.855 

4.825 

4.794 

4.764 

4.733

4.702

4.672 

4.641 

4.610 

4.579

4.548

4.518

4.487 

4.455 

4.424 

4.393 

4.362

4.331

4.300 

4.269 

4.237 

4.206 

4.175

4. 144

4.112 

4.081 

4.049 

4.018 

3.986

3.955

15' longitude.

Inches.- 

7.872

7.827 

7.782 

7.737 

7.692 

7.647

7.602

7.556 

7.511 

7.465 

7.420 

7.374

7.329

7.283 

7.237 

7.191 

7.145

; 7.100

7.054

7.007 

6.961 

6.915 

6.869 

6. 823

6.776

6. 730 

6.683 

6.637 

6.590 

6.543

6. 497

6.450 

6.403 

6.356 

6.309 

6.263

6.216

6.169 

6.121 

6.074 

6.027 

5.980

5.932

20' longitude.

Inches. 

10. 496

10. 436 

10. 376 

10.316 

10. 256 

10. 196

10. 136

10. 075 

10. 014 

9.954 

9.893 

9.832

9.772

9.711 

9.650 

9.588 

9.527 

9.466

9. 405

9.343 

9.282 

9.220 

9.158 

9.097

9.035

8.973 

8.911 

8.849 

8.787 

8.724

8. 662 '

8.600 

S.-538 

8.475 

8.412 

8.350

8.288

8.225 

8.162 

8.099 

8.036 

'7.973

7.910

25' longitude.

Inches. 

13. 120

13. 045 

12. 970 

12.895 

12. 820 

12. 745

12. 670

12. 594 

12. 518 

12. 442 

12. 367 

12. 291

12. 215

12. 139 

12. 062 

11. 986 

11.909 

11.833

11. 756

11. 679 

11.602 

11. 525 

11.448 

11. 371

11. 294

11.217 

11. 139 

11. 061 

10.984 

10. 906

10.828

10. 750 

10. 672 

10. 594 

10. 516 

10. 438

10.360

10. 281 

10. 202 

10. 124 

10. 045 

9.966

9.888

30' longitude.

Inches. 

15. 744.

15.654 

15. 564 

15.473 

15.383 

15. 293

15. 203

15.112 

15.022 

14.930 

14.840 

14. 749

14. 658

14.566 

14. 474 

14.383 

14.291 

14. 199

14. 107

'l4. 015 

13.922 

13. 830 

13. 738 

13. 645

13. 553

13. 460 

13. 366 

13. 273 

13. 180 

13. 087

12. 994

12. 900 

12. 806 

12. 712 

12. 619 

12. 525

12. 431

12. 337 

12. 242 

12. 148 

. 12.054 

11. 959

11. 865

Ordinates of developed' 

parallel.

Longitude interval.

/ 

5

 10

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

63°

Inches. 

0.002 

.007 

.015 

.027 

.043 

.061

65°

0. 002 

.006 

.014 

.026 

.040 

.058

67°

0.001 

.006 

.014 

 .024 

.038 

.054

69°

0.001 

.006 

.013 

.022 

. 035 

.051

64°

Inches. 

0.002 

.007 

.015 

. 026 

.041 

.060

66°

0.002 

.006 

.014 

.025 

.039 

.056

68°

0.001 

.006 

.013 

.023 

.036 

.053

70°

0.001 

.005 

.012 

.022 

.034 

.049
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 69

TABLE 7.. Coordinates for projection of maps (stale T^-innr) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

70 00

10 

20 

30 

40 

50

71 00

10 

' 20 

30 

40 

50

72 00

10 

20 

30 

40 

50

73 00

10 

20 

. 30 

40 

50

74 00

10 

20 

30 

40 

50

75 00

10 

20 

30 

40 

50

70- 00

10 

20 

30 

40 

50

77 00

Meridional distances 

from 

even degreeparallels.

Inches. 

69. 317

11.554 

23. 109 

34. GG3 

46. 217

57. 772

69:326

11. 550 

23. Ill 34.667- 

46. 222 

57. 778

69. 334

11.557 

23. 114 

34. G70 

46. 227

57. 784

69. 341

11.558 

23.116 

34. 674 

46. 232 

57. 790

69. 348

11.559 

23.118 

34.677 

46. 236 

57. 796

69. 355

11.560 

23. 120 

34. 681 

46. 241 

57. 801

69. 361

11. 561 

23. 122 

34. 683 

46. 244

57. 806

69. 367

Abscissas of developed parallel.

5' longitude.

Inches. 

1.977

1. 962 

1.946 

1. 930 

1.914 

1. 898

1. 882

1.866 

1.850 

1. 835 

1.819 

1. 803

1. 787

1.771 

1.765 

1.739 

1. 723 

1.707

1. 691

1. 674 

1.658 

1.642 

1.626 

1.610

1. 594

1.578 

1.562 

1. 545 

1.529 

1. 513

1.497

1.480 

1. 464 

1.448 

1. 432 

1.415

1.399

1.383 

1.366 

1.350 

1.334 

1.317

1. 301

10'longitude.

Inches. 

3.955

. 3.923 

3.892 

3. 860 

3.828 

3.796

3. 765

3. 733 

3.701 

3.669 

3.637 

3. 605

3. 574

3.542 

3.509 

3.477 

3.445 

3.413

3.381

3.349 

3.317 

3.284 

3. 252 

3:220

3. 188

3.155 

3.123 

3.091 

3.058 

3.026

2.993

2.961 

2.928 

2.896 

2. 863 

2.83L

2.798

2.705 

2.733 

2.700 

2.667 

2. 634

2. 002

15' longitude.

Inches. 

5.932

5.885 

. 5. 837 

5.790 

5.742 

5. 695

5. 647

5.600 

5.552 

5.504 

5.456 

5.408

5.360

5. 312 

5.264 

5. 216 

5. 168 

5.120

5.072

5.024 

4.975 

4.927 

4.878 

4.830

4, 782

4. 733 

4.685 

4. 636 

4.587 

4. 539

4.490

4. 441 

4.392 

4.344 

4. 295 

4.246

4.197

4.148 

4. 099 

4.050 

4.001 

3.952

' 3. 903

20' longitude.

Inches. 

7. 91.0

7.846 

7.783 

7.720 

7.656 

7.593

7. '530

7.466 

7.402 

7.338 

7. 275 

7.211

7.147

7.083 

7.019 

6.955 

6. 891 

6.826

6.762

6.698 

6/634 

6. 569 

6.504 

6.440

6.370

6. 311 

6.246 

6. 181 

6. 116 

6.052

5. 987

5.'922 

5.856 

5.792 

5.726 

5.661

5.590

5.530 

5.465 

5.400 

5.334 

5.269

5. 204

25' longitude.

Inches. 

9.888

9.808 

9.729 

9.650 

9.571 

9. 491

9.412

9.333 

9.253 

9.173 

9.094 

9.014

8^934

8.854 

8. 774 

8.694 

8. 614 

8.533

8.453

8.373 

8.292 

8. 211 

8. 131 

8.050

7.970

7.889 

7.808 

7.727 

7.645 

7.565

7.484

7.402 

7.321 

7. 240 

7.158 

7.077

0.995

6.913 

6.832 

6.750 

0.668 

6.586

6.505

30' longitude.

Inches. 

11.805

11. 770 

11. 675 

11.579 

11.485 

11. 389

11.294

11.199 

11. 103 

11.008 

10. 912 

10. 816

10. 721

10. 025 

.10.528 

10. 432 

10. 336 

10. 240

10. 144

10. 047 

9.950 

9.853 

9.757 

9.660

9. 563 '

9.406 

9. 369 

9. 272 

9.175 

9.077

8. 980

8.882 

8.785 

8.687 

8. 590 

8.492

8.394

8.296 

8.198 

8.099 

8.002 

7.903

7.805

Ordinates of developed 

parallel.

Long! 

tude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

70°

Inches. 

0.001 

.005 

. 012 

.022 

.034 

.049

72°

0. 001 

.005 

.011 

.020 

.031 

' .044

74°

0. 001 

.004 

.010 

.018 

.028 

.040

76°

0.001 

.004 

.009 

.016 

.025 

.036

71°

Inches. 

0.001 

.005 

.012 

.021 

.032 

.047

73°

0.001 

.'005 

.011 

.019 

.029 

.042

75°

0.001 

.004 

.009 

.017 

.020 

.038

77°

0.001 

.004 

.008 

.016 

.023 

.033
70 GEOGRAPHIC TABLES AND FORMULAS. [BUM,. 234

TABLE 7. Coordinates for projection of maps (scale -g-f-g-oi!-) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

77 00

10 

20 

30 

40 

50

78 00

10 

20 

30 

40 

50

79 00

10 

20 

30 

 40 

50

80 00

Meridional distances 

from 

even 

degree 

parallels.

Indies. 

69. 367

11. 562 

23. 124 

34. 686 

46. 248 

57. 810

69. 373

11.563 

23. 126 

34. 689 

46. 252 

57. 814

69.377

11. 564 

23. 127 

34. 691 

46. 255 

57. 818

69. 382

Abscissas of developed parallel.

5' longitude.

Inches. 

-'1.301

1.284 

1.268 

1. 252 

' 1. 235 

1. 219

1.202

. 1.186 

1.169 

1. 153 

1.136 

1.120

1.104

1.087 

1.070 

1.054 

1.037 

1.021

1.004

10' longitude.

Inches. 

2.602

2.569 

2.536 

2. 503 2. 470' 

2.438

2.405

2. 372 

2.339 

2. 306 

2. 273 

2.240

2.207

2. 174 

2. 141 

2.108 

2.075 

2. 042

2. 009

15' longitude.

Inches. 

3. 903

3.854 

3. 804 

3.755 

3.706 

 3. 656

3. 607

3. 558 

3. 508 3.459 

3.410 

3.360

3.311

3.261 

3.211 

3.. 162 

3.112 

3.062

3.013

20' longi- 

. tude.

Inches. 

5. 204

5.138 

5.072 

5.006 

4.941 

' 4, 875

4.810

4.744 

4.678 

4.612 

4.546 

4.480

4.414

4.348 

4.282 

4.216 

4. 150 

4.083

4. 017

25' longitude.

Inches. 

6.505

6.423 

6. 341 

6. 258 

6. 176 

6.094

6. 012

5.930 

5.847 

5.765 

5.683 

5.600

5. 518

5.435 

5. 352 

5.270 

5. 187 

5.104

5.022

30' longitude.

Inches. 

7.805

7.707 

7.609 

7.510 

7. 411 

7.313

7.214

7.115 

7.016 

6. 918 

6. 819 

6.720

6.621

6. 522 

6.422 

6.323 

6. 224 

6.125

6.026

Ordinates of developed 

parallel.

Longitude interval.

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

77°

Inches. 

0.001 

.004 

. .008 

.015 

.023 

.033

79°

0.001 

.003 

.007 

.013 

.020 

.028

78°

Inches. 

0. 001- 

' .003 

.008 

.014 

.021 

.031

80°

0.001 

.003 

.006 

.011 

.018 

.026
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 

TABLE 8. Coordinates for projection of maps (scale Tj71

Latitude of 

parallel.

0 /

25 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

26 00 

. 05 

10 

15 

20 

25 

30 

36 

.40 

45 

50 

55

27 00 

- 05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

28 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

29 '00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.815 

11. 629 

17. 444 

23. 259 

29. 074 

34. 888

5. 816 . 11. 631 

17. 447 

23. 262 

29. 078 

34. 893

5.816 

11. 633 

17. 449 

23. 265 

29. 082 

34. 898

5.8.17 

11. 634 

17.451 

23. 268 

29. 085 

34.903

Abscissas of developed parallel.

2£' longitude.

Inches. 

2.650 

2.648 

2.646 

2.644 

2.642 

2.641 

2.639 

2. 637 

2.635 

2.633 

2. 631 

2.630

2. 628 

2. 626 

2. 624 

2.622 

2.620 

2.618 

2.617 

2. 615 

2. 613 

2.611 

2.609 

2. 607 '

2. 605 

2. 603 

2.601 

2.599 

 2.597 

2. 595 

2.593 

2.591 

2.590 

2.588 

2.586 

2.584

2.582 

2.580 

2.578 

2.576 

2.574 

2. 572 

2.570 

. 2.568 

2.566 

2.664 

2.562 

2.560

2.558

5' longitude.

Inches. 

.5. 299 

 5.296 

5.292 

5.288 

5. 285 

5.281 

5.277 

5.274 

5.270 

5.266 

5.263 

5.259

5.256 

5.252 

5. 248 

5.244 

5.241 

5.237 

5.233 

5.229 

5.225 

5.222 

5.218 

5.214

5.210 

5. 207 

5.203 

5.199 

5. 195 

5.191 

5.187 

6.183 

5.179 5.175- 

5. 171 

5.167

5.163 

5.159 

5.155 

5.151 

5.147 

5.143 

6.139 

5.135 

5.131 

5.127 

6.123 

5.119

5. 115

7£' longitude.

Inches. 

7.949 

7.944 

7.938 

7.933 

7.927 

7.922 

7. 916 

7. 911 

7.905 

7.900 

7.894 

7.889

7.883 

7.878 

7.872 

7. 866 

7.861 

7.855 

7.849 

7.844 

7.838 

7.833 

7.827 

7.821

7.816 

7.810 

7.804 

7.798 

7.792 

7.786 

7.780 

7.774 

7.769 

7.763 

7.757 

7.751

7.745 

7.739 

7.733 

7.727 

7. 721 

7.715 

7.709 

7.703 

7.697 

7.691 

7.685 

7.679

7. 673

10' longitude.

Inches. 

10. 599 

10. 591 

10.584 

10.577 

10. 569 

10. 562 

10. 555 

10.548 

10.540 

10. 533 

10. 526 

10.518

10. 511 

10.504 

10.496 

10. 489 

10. 481 

10. 473 

10. 466 

10. 458 

10. 451 

10.443 

10. 436 

10.428

10. 421 

10. 413 

10. 405 

10. 397 

10. 389 

10. 382 

10. 374 

10. 366 

10. 358 

10. 350 

10. 342 

10. 335

10. 327 

10. 319 

10. 311 

10. 303 

10. 294 

10. 286 

10. 278 

10. 270 

10. 262 

10. 254 

10.246 

10. 238

10. 230

12i' longitude.

Inches. 

13.248 

13. 239 

13.230 

13.221 

13. 212 

13. 203 

13. 194 

13. 184 

13. 175 

13.166 

13. 157 

13. 148

13. 139 

13. 129 

13. 120 

13. Ill 

13. 101 

13.092 

13. 082 

13. 073 

13. 064 

13.054 

13. 045 

13.035

13. 026 

13. 016 

13. 006 

12. 997 

12. 987 

12. 977 

12. 967 

12. 957 

12.948- 

12. 938 

12. P28 

12.918

12. 908 

12. 898 

12. 888 

12. 878 

12. 868 

12: 858 

12. 848 

12.838 

12. 828 

12. 818 

12. 808 

12. 798

12. 788

15' longitude.

Inches. 

15. 898 

15.887 

15.876 

15. 865 

15.854 

15.843 

15.832 

15. 821 

15. 810 

15. 799 

15. 788 

15. 777

15. 766

15. 755 

15.744 

15. 733 

15. 721 

15.710 

15. 699 

15.688 

15.676 

15.665 

15.654 

15. 642

15. 631 

15. 620 

15.608 

15. 596 

15.584 

15.572 

15. 561 

15.549 

15.537 

15. 525 

15. 514 

15.502 

( 

15. 490 

15. 478 

15. 466 

15.454 

15.442 

15. 430 

15. 418 

15. 405 

' 15. 393 

15.381 

15. 369 

15. 357

15.345

Ordinates of developed 

parallel.

Longitude interval.

2i 

5 

7* 

10 

124 

15

25°

Inches. 

0.000 

.002 

.004 

.007 

.010 

.015

26°

Inches. 

0.000 

.002 

.004. 

.007 

.010 

.015

/

2t 

5 

7* 

10

m

15

27°

Inches. 

0.000 

.002 

.004 

.007 

. Oil 

.015

*2i 

5 

7* 

10 

121 

15

27°

Inches. 

0.000 

.002 

.004 

.007 

.011 

.015

28°

Inches. 

0.000 

.002 

.004 

.007 

.011 

.016

2J 

5 

7i 

10 

124 

15

29°

Inches. 

0.000 

.002 

.004 

.007 

.011 

.016
72 GEOGRAPHIC TABLES AND FORMULAS. [BUM,.234. 

TABLE 8. Coordinates for projection of maps (scale ^--hr^) Continued.

Latitude of 

parallel.'

o / 

29 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

;55

30 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

31 00 

05 

- 10 

15 

20 

25 

30 

35 

40 

45 

50 

,55

32 ' 00 

05 

 10 

15 

20 

25 

30 

35 

40 

45 

50 

55

33 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.818 

11. 636 

17. 454 

23. 272 

29. 090 

34.908

5.819 

11. 638 

17. 457 

23. 276 

29. 095 

34. 913

5.820 

11. 640 

17. 460 

23. 280 

29. 100 

34. 919

5.821 

11. 642 

17.. 462 

23.283 

29. 104 

34. 925

Abscissas of developed parallel.

24' longitude.

Inches. 

2.558 

2.555 

. 2.553 

2.551 

2.549 

2.547 

2.545 

2.543 

2. 541 

2. 539 

2. 537 

2.535

2.533 

2.530 

2. 528 

2.526 

2. 524 

2. 522 

2. 520 

2.518 

2.515 

2.513 

2. 511 

2.509

2.507 

2.505 

2.502 

2.500 

2.498 

2.496 

 2. 494 

2. 491 

2.489 

2.487 

2.485 

2.'482

2.480 

2.478 

2.476 

2.473 

2.471 

2.469 

2.467 

2. 464 

2.462 

2.460 

2.458 

2.455

2.453

5' longitude.

Inches. 

5.115 

5.111 

5.107 

5.103 

5.098 

5.094 

5.090 

5. 086 

5.082 

5. 078 

5.073 

5. 069

5. 065 

5. 061 

5.057 

5.052 

5.048 

5.044 

5.039 

5.035 

5.031 

5.026 

5.022 

5.018

5.014 

5.009 

5.005 

5.000 

4.996 

4.991 

4.987 

4.983 

4.978 

4.974 

4.969 

4.965

' 4.960 

4.956 

4.951 

4.947 

4.942 

4.938 

4.933 

4.929 

4.924 

4.920 

4. 915 

4.910

. 4. 906

74' longitude.

Inches. 

7.673 

7.666 

7.660 

7.654 

7.648 

. 7.641 

7.635 

7.629 

7.623 

7. 616 

7.610 

7.604

7.598 

7.591 

' 7.585 

7.578 

7.572 

7.565 

7.559 

7.552 

7.546 

7.540 

7.533 

7.527

7.520 

7.514 

7.507 

7.500 

7.494 

7.487 

7.480 

7.474 

7. 467 

7.460 

7.454 

. 7. 447

7.441 

7.434 7. 427' 

7.420 

7.413 

7. 407 

7.400 

7.393 

7.386 

7.379 

7. 372 

7.366

7.359

10' longitude.

Inches. 

10.-230 

10. 222 

10. 213 

10. 205 

10. 197 

10. 188 

10. 180 

10.172 

10.164 

10. 155 

10. 147 

10. 138

10. 130 

10. 122 

10. 113 

10. 104 

10. 096 

10. 087 

10. 079 

10. 070 

10. 061 

10. 053 

10.044 

10. 036

10. 027 

10.018 

10. 009 

10.000 

9.992 

9.983 

9.974 

9.965 

9.956 

9.947 

9.938 

9.930

9.921 

9. 912 

9.903 

9. 894 

9.884 

9.875 

9.866 

9.857 

9.848 

9.839 

9.831 

9.821

9.812

124' longitude.

Inches. 

12. 788 

12. 777 

12. 767 

12. 756 

12. 746 

12. 735 

12. 725 

12. 715 

12. 704 

12. 694 

12. 684 

12. 673

12. 663 

12. 652 

12. 641 

12. 630 

12. 620 

12.609 

12. 598 

12. 587 

12. 577 

12. 566 

12. 555 

12.544

12. 534 

12. 523 

12. 512 

12. 500 

12. 489 

12. 478 

12. 467 

12. 456 

12. 445 

12. 434 

.12. 423 

12. 412

12. 401 

12. 390 

12. 378 

12. 367 

12.356 

12. 344 

12. 333 

12. 322 

12. 310 

12. 299 

12.287 

12. 276

12.265

15' longitude.

Inches. 

15. 345 

15. 333 

15. 320 

15. 308 

15. 295 

15. 283 

15. 270 

15. 258 

15. 245 

16. 233 

15. 220 

15. 208

15.185 

15. 182 

15. 169 

15. 157 

15. 144 

15.131 

15.118 

15. 105 

15. 092 

15.079 

15. 066 

15. 053

15. 040 

15. 027 

15.014 

15.000 

14. 987 

14. 974 

14. 961 

14. 948 

14. 934 

14. 921 

14. 908 

14. 894

14.881 

14. 868 

14.854 

14.840 

14. 827 

14.813 

14. 800 

14. 786 

14. 772 

14. 759 

14.745 

14. 731

14. 718

Ordinates of developed 

parallel.

Longitude interval.

24 

5 

74 

10 

124 

15

24 

5 

74 

10 

124 

15

29°

Inches. 

0.000 

 .002 

.004 

.007 

.011 

.016

31°

0.000 

.002 

.004 

 .008 

.012 

.017

30°

Inches. 

0.000 

.002 

.004 

.007 

.012 

.017

Longitude 

inter- 

 val.

24 

5 

74 

10 

124 

15

24

5 

. 74 

10 

124 

15

31°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.017

33°

0. 000 

.002 

.004 

.008 

.012 

.017

32°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.017

'
GANNETT.] C4EOGRAPHIC TABLES AND FORMULAS.

TABUS 8. Coordinates for projection of maps (scale 727^7) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

0 /

33 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

34 00 

05 

10 

15 

20 

25 

30 

35 

' 40 

45 

50 

55

35 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 '50 

55

36 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

37 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.822 

11. 643 

17.465 

23. 287 

29. 109 

34. 930

5. 823 

11. 645 

17. 468 

23. 291. 

29. 113 

34. 936

5.824 

11.647 

17. 471 

23. 294 

29. 118 

34. 942

5. 824 

11. 649 

17. 473 

23. 297 

29. 122 

34.946

Abscissas of developed paralleJ.

24' longitude.

Inches. 

2. 453 

2. 451 

2.448 

2.446 

2.444 

2.441 

2.439 

2.437 

2.434 

2. 432 

2. 430 

2. 427

2. 425

2.423 

2. 420 

2. 418 

2. 415 

2. 413 

2.411 

2. 408 

2. 406 

2. 403 

2. 401 

2. 399

2. 396 

2. 394 

2. 391 

2. 389 

2. 386 

2. 384 

2. 381 

2. 379 

2. 376 

2. 374 

2.372 

2.369

2.367 

2. 364 

2. 362 

2. 359 

2.357 

2.354 

2.352 

2.349 

2.346 

2. 344 

2. 341 

2. 339

2. 336

5' longitude.

Inches. 

4.906 

4.901 

4.897 

4. 892 

4.887 

4. 882 

4.878 

4, 873 

4.868 

4.864 

4.859 

4.854

4.850 

4.845 

4.840 

4.835 

4.831 

4.826 

4. 821 

4.816 

4.811 

4.807 

4. 802 

4.797

4.792 

4.787 

4.782 

4.777 

4.773 

4.768 

4.763 

4.758 

4.753 

4.748 

4.743 

4.738

 4.733 

4.728 

4.723 

4.718 

4. 713 

4.708 

4.703 

4.698 

4.693 

4.688 

4.683 

4.678

4. 673

7*' longitude.

Inches. 

7.359 

7.352 

7.345 

1 7.338 

7.331 

7.324 

7.317 

7. 310 

7.303 

7. 296 

7. 289 

7. 282

7. 275 

7.267 

7.260 

7.253 

7.246 

7.239 

7.231 

7. 224 

7. 217 

7.210 

7.203 

7.195

7.188 

7.181 

7.174 

7.166 

7. 159 

. 7.151 

7. 144 

7.137 

7.129 

7.122 

7. 11.5 

7.107

7. 100 

7. 092 

7.085 

7.077 

7.070 

7.062 

7.055 

7.047 

7.039 

7.032 

7.024 

7. 017

7.009

10' longitude.

Inches. 

9. 812 

9. 802 

9:793 

9. 784 

9. 774 

9. 765 

9. 756 

9.746 

9.737 

9. 728 

9. 718 

9.709

9.700 

9. 690 

9.680 

9.671 

9. 661 

- 9.652 

9. 642 

9. 632 

9. 623 

9. 613 

9.604 

9. 594

9.584 

9.574 

9. 565 

9.555 

9.545 

9.535 

9.525 

9.536 

9.506 

9.496 

9.486 

9.476

9.466 

9.456 

9.446 

9. 436 

9.426 

9. 416 

9.406 

9.396 

9.386 

9. 376 

9. 366 

9. 356

9. 345

124' longitude.

Inches. 

12. 265 

12.253 

12. 241 

12. 230 

12.218 

12. 206 

12. 195 

12. 183 

12. 171 

12. 160 

12.148 

12. 136

12. 124 

12. 112 

12. 100 

12. 088 

12.076 

12.064 

12.052 

12. 040 

12. 028 

12. 016 

32.004 

11. 992

11. 980 

11.968 

11. 956 

11. 944 

11. 931 

11. 919 

11. 907 

11.895 

11.882 

11. 870 

11. 858 

11.845

11.833 

11. 820 

11. 808 

11. 795 

11. 783 

11. 770 

11. 758 

11. 745 

11. 732 

11. 720 

11. 707 

11. 694

11.682

16' longitude.

Inches. 

14. 718 

14. 704 

14. 690 

14. 676 

14. 662 

 14. 648 

14. 633 

11. 619 

14. 605 

14. 591 

14. 577 

14. 563

14. 549 

14.535 

14. 520 

14. 506 

14. 492 

14. 477 

14. 463 

14.448 

14. 434 

14. 420 

14.405 

14.391

14. 376 

14. 362 

14. 347 

14. 332 

14.318 

14. 303 

14.288 

14.273 

14. 259 

14. 244 

14. 2'29 

14. 214

14. 200 

14. 185 

14. 169 

14. 154 

14. 139 

14. 124 

14.109 

14.094 

14.079 

14. 064 

14. 048 

14.033

14. 018

Ordinates of developed 

parallel.

Longitude interval.

24 

5 

7* 

1.0 

12* 

15

/

24

5 

74 

10 

124 

15

33°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.017

35°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.018

34°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.018

Longitude interval.

24 

5 

74 

10 

124 

15

24 

6 

74 

10 

124 

15

35°

Inches. 

0.000 

.002 

.004 

.008 

.012 

.018

37°

Inches. 

0.001 

.002 

.005 

- .008 

.013 

.018

36°

Inches 

0.001 

.002 

.005 

.008 

.013 

.018
74 GEOGRAPHIC .TABLES AND FORMULAS. [BULL.234.

TABLE 8. Coordinates for projection of maps (scale T^TTUS) Continued. . 

[From Sraithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

37 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

38 00 

05 10- 

15 

20 

25 

30 

35 

40 

45 

50 

55

39 00 

05 

 10 

15 

20 

26 

30 

35 

40 

45 

50 

55

40 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

41 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

 5. 826 

11.651 

17. 477 

23. 302 

29. 128 

34. 954

5. 827 

11.653 

17.480 

23.306 

29. 133 

34. 960

5.828 

11. 655 

17. 483 

23. 310 

29. 138 

34. 966

5.829 

11.657 

17.486 

23. 314 

29. 143 

34. 972

i Abscissas' of developed parallel.

2£' longitude.

Inches. 

2.336 

2. 334 

2.331 

2. 329 

2.326 

2.323 

2.321 

2.318 

2. 316 

2. 313 

2.311 

2.308

2.305 

2.303 

2.300 

2. 298 

2.295 

2.292 

2. 290 

2.287 

2.284 

2.382 

2.279 

2.276

2. 274 

2. 271 

2.268 

2.266 

2. 263 

2.260 

2.258 

2. 255 

2. 252 

2.250 

2.247 

2.244

2.241 

2.239 

2.236 

2.233 

. 2.230 

2.228 

2.225 

2.222 

2.219 

2.217 

2.214 

2.211

2. 208

5' longitude.

Inches. 

4:673 

4.667 

4.662 

4.657 

4.652 

4,647 

4.642 

4. 637 

4.631 

4.626 

. 4. 621 

4.616

4. 611 

 4.606 

4.600 

4.'595 

4.590 

4.584 

4.579 

4.574 

4. 569 

4.563 

4.558 

4.553

4.547 

4.542 

4.537 

4.531 

4.526 

4.521 

4.515 

4.510 

4.504 

4.499 

4.494 

4.488

4.483 

4 All 

4.472 

4. 466 

4.461 

'4. 455 

4.450 

4.444 

4.439 

4.433 

4.428 

4.422

4.417

7£' longitude.

Inches. 

7.009 

7.001 

6.994 

6.986 

6.978 

6.970 

6.963 

6.955 

6.947 

6.939 

6. 932 . 6.924

6.916 

6.908 

6.900 

6.892

6.885

 6.877 

6.869 

6.861 

6.853 

6.845 

6.837 

6.829

6.821 

6.813 

6.805 

6. 797 

6.789 

6.781 

6.773 

6.765 

6. 757 

6.748 

6.740 

6.732

6.724 

6.716 

6.708 

6.699 

6.691 

6.683 

6.675 

6.666 

6.658 

6.650 

6.642 

6. 633

6. 625

10' longitude.

Inches. 

9.345 

9.335 

9. 325 

9.314 

9.304 

9. 294 

9.283 

9.273 

9. 263 

9.253 

9. 242 

9.232

9. 222 

9.211 

9.201 

9.190 

 9.179 

9.169 

9.158 

9.148 

9.137 

9.127 

9. 116 

9.106

9.095 

9.084 

9.073 

9.063 

9.052 

9.041 

9. 030 

9.020 

9.009 

8.998 

8.987 

'8. 976

8.966 

8.955 

8.944 

8.933 

8.922 

8.911 

8.899 

8.888 

8.877 

8.866 

8.855 

8.844.

8.833

12i' longitude.

Inches. 

11.682 

11. 669 

11. 656 

11.643 

11. 630 

11. 617 

11. 604 

11. 591 

11. 578 

11. 566 

11. 653 

11.540

' 11.527 

11. 514 

11. 501 

11.488 

11.474 

11.461 

11. 448 

11. 435 

11.422 

11. 408 

11. 395 

11. 382

11. 369 

11. 355 

11. 342 

11. 328 

11. 315 

11. 301 

11.288 

11. 274 

11.261 

11. 247 

11. 234 

11.221

11. 207 

11. 193 

11. 180 

11. 166 

11. 152 

11. 138 

11. 124 

11. Ill 

11. 097 

11. 083 

11. 069 

. 11.056

11. 042

15' longitude.

Inches. 

14.018 

14. 003 

13. 987 

13. 972 

13. 956 

13. 941 

13. 925 

13. 910 

13. 894 

13. 879 

13. 863 

13. 848

13.832 

13. 817 

13. 801 

13. 785 

13.769 

13. 753 

13. 737 

13. 722 

13. 706 

13. 690 

13. 674 

13.658

13. 642 

13. 626 

13. 610 

13. 594 

13.578 

13. 562 

13. 545 

13. 529 

13. 513 

13. 497 

13. 481 

13. 465

13.448 

13. 432 

13. 415 

13. 399 

13. 382 

13. 366 

13. 349 

13. 333 

13. 316 

13. 300 

13.283 

13. 267

13. 250

Ordinates of developed 

parallel.

Longitude interval.

2i 

5 

7£ 

10 12i 

15

2* 

5 

U 

10 

- 12$ 

15

Longitude interval.

2* 

5 

7* 

10 

12* 

15

2i 

5 

 7$ 

10 12i 

15

37°

Inches. 

0. 001 

.002 

.005 

.008 

.013 

.018

39°'

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

39°

Inches. 

0.001 

.002 

.005 

. .008 

.01.3 

. .019

41°

Inches. 

0.001 

.002 

.005 

.008 

.013 

. 019

38°

 Inches. 

 0. 001 

.002 

.005 

.008 

.013 

.019

40°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019
GANNETT.] GEOGRAPHIC TABLES'AND FORMULAS.

TABLE 8. Coordinates for projection-of maps (scale 5-^^77) Continued. 

[Prom Smithsonian Geographical Tables.]

75

Latitude of 

parallel.

o / 

41 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

42 00 

05 

10 

15 

20 

25 

30 

 35 

40 

45 

50 

55

43 00 

05 

10 

15 

 20 

25 

30 

35 

40 

45 

50 

55

44 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

45 00

Meridional distances 

from 

even 

degree 

parallels.

Inches.

5.830 

11. 659 

17. 489 

23.319 

29. 149 

34.,978

5.831 

11. 661 

17. 492 

23.323 

29. 154 

34, 984

 5. 832 

11. 663 

17. 495 

23. 327 

29. 159 

34.990

! 

5.833 

11. 660 

17. 498 

23. 331 

29. 164 

34.997

Abscissas of developed parallel.

2i' longitude.

Inches. 

2. 208 

2. 206 

2. 203 

2.200 

2. 197 

2. 194 

2.192 

2. 189 

2.186 

2.183 

2.180 

2.178

2.175 

2.172 

2.169 

2.166 

2. 163 

2. 160 

2. 158 

2.155 

2. 152 

2. 149 

2. 146 

. 2.143

2.140 

2. 137 

2.134 

2.132 

2. 129 

2.126 

2. 123 

2. 120 

2. 117 

2.114 

2. Ill 

2. 108

2.105 

2.102 

2. 099 

2.096 

 2. 093 

2.090 

2.087 

2. 084 

2.081 

2.078 

2.076 

2.073

2.070

5' longitude.

Inches. 

4.417 

4.411 

4.406 

4.400 

4.394 

. 4.389 

4.383 

4.377 

4.372 

4.366 

4. 361 

4.355

« 4.349 

4.344 

4.338 

4.332 

4.326 

4.321 

4.315 

4.309 

4.304 

. 4. 298 

4. 292 

4.286

4.281 

4.275 

4. 269 

4. 203 

4.257 

4.251 

4. 2<16 

4. 240 

4.234 

4.228 

4.222 

4. 216

4.210 

4.205 

4.199 

4. 193 

4.187 

4.181 

4.175 

4. 169 

4.163 

4. 157 

4.151 

4.145

4.139

71' longitude.

Inches. 

6.025 

0.017 

0.608 

0.600 

6. 591 

6. 583 

 6. 575 

6.566 

6.558 

6.549 

6. 54 1 

6.533

6. 524 

6.515 

6.507 

6.498 

6.490 

0.481 

0. 472 

0. 404 

0.455 

0.447 

0.438 

0. 429

6.421 

6. 412 

6.403 

6. 395 

.0.386 

6.377 

0.368 

6.359 

6. 351 

6.342 

6.333 

6.324

6. 316 

6.307 

6.298 

6.289 

6.280 

6. 271 . 6.262 

6.253 

6. 244 

6.235 

6.227 

6.218

6. 209

10' longitude.

Inches. 

8.833 

8.822 

8.811 

8.800 

8/789 

8.777 

8. 760 

8.755 

8.744 

8. 732 

8.721 

8.710

8. 099 

8.087 

8.676 

8.664 

8.653 

8.041 

8.630 

8.618 

8.607 

8.596 

8. 584 

8.573

8.561 

8.550 

8.538 

8.526 

8.514 

8.503 

8.491 

8.479 

8.468 

8.456 

8.444 

8.432

8.421 

8. 409 

8.397 

8.385 

8.373 

8.361 

8. 350 

8.338 

8.326 

8. 314 

8.302 

8.290

8.278

121' longitude.

Inches. 

11.042 

11. 028 

11.014 

11.000 

10.986 

10. 972 

. 10. 958 

10. 944 

10.930 

10. 916 

10. 902 

10. 888

10. 873 

10. 859 

10. 845 

10. 830 

10. 816 

10.802 

10. 787 

10. 773 

10. 759 

10. 744 

10. 730 

10. 716

10. 701 

10. 687 

10,672 

10. 658 

10. 043 

10.628 

10.614 

10. 599 

10. 585 

10. 570 

10. 555 

10. 541

10. 526 

10.51] 

10. 490 

10. 482 

10. 467 

10. 452 

10. 437 

10. 422 

10. 407 

10. 392 

10. 377 

10. 363

10. 348

15' longitude.

Inches. 

13.250 

13.233 

13. 216 

13. 200 

13. 183 

13.166 

13. 149 

13.132 

13. 115 

13.099 

13.082 

13. 065

13. 048 

13.031 

13. 014 

12. 996 

12. 979 

12.962 

12. 945 

12. 928 

12. 910 

12. 893 

12. 876 

12.859

12. 842 

12. 824 

12. 807 

12. 789 

12. 772 

12. 754 

12. 736 

12.719 

12. 70k 

12. 684 

12. 066 

12. 649

12. 631 

12.613 

12. 596 

' 12.578 

12. 560 

12.542 

12. 524 

12.506 

12. 489 

12. 471 

12. 453 

12. 435

12.417

Ordinates of developed 

parallel.

Longitude 

inter- . 

val.

21 

5 

71 

10 

121 

15

24 

b 

71 

10 

121 

15

Longitude interval.

21 

5 

'. 71 

10 

121 

15

21 

5 

71 

10 

121 

15

41°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

43°

Inches. 

0. 001 

.002 

.005 

.008 

.013 

.019

43°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

45°

Inches. 

0.001 

.002 

.005 

.009 

.013 

.019

42°

Indies. 

0.001 

.002 

.005 

.008 

.013 

.019

44°

Inches. 

0. 001 

.002 

.005 

.009 

.013 

' .019
GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 8. Coordinates for projection of maps (scale 7?;jl~<ny) Continued. 

[From Smithsoniaii Geographical Tables.]

Latitude of 

parallel!

45 . 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

46 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

47 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

48 00 

05 

 10 

15 

20 

25 

30 

. 35 

40 

45 

50 

55

49 00 

05 

10 .15- 

20 

25 

30 

35 

40 

45 

50 

55

50 00

Meridional distances 

from 

even 

degree 

parallels.

. Inches.

5.834 

11.668 

17. 501 

23. 335 

29. 169 

35.003

5.835 

11. 670 

17. 504 

23. 339 

29. 174 

35. 009

5. 836 

11. 672 

17. 508 

23. 344 

29. 180 

35. 015

5.837 

11. 674 

17. 511 

23.348 

29. 185 

35. 021

5.838 

11.676 

17.514 

23. 352 

29. 190 

35. 027

Abscissas of developed parallel.

2&' longitude.

Inches. 

2.070 

2.067 

2.064 

2.061 

2.058 

2.054 

2.051 

2.048 

2.045 

2. 042 

2.039 

2.036

2.033 

2.030 

2.027 

2.024 

2.021 

2.018 

2.015 

. 2.012 

2.009 

2.006 

2.003 

1.999

1.996 

1.993 

1. 990 

1.987 

1.-984 

1.981 

1.977 

 1.974 

1.971 

1.968 

1.965 

L962

1.959 

1.956 

1. 952 

).949 

1.946 

1.943 

1.940 

1.937 

1.933 

1.930 

1.927 

1.924

1.921 

1.917 

1.914 

1.911 

1.908 

1.905 

1.901 

1.898 

1.895 

1. 892 ' 

1.888 

1.885

1.882

5' longitude.

Inches. 

4.139 

4.133 

4.127 

4.121 

4.115 

4.109 

4.103 

4.097 

4. 091 

" 4.085 

4.079 

4.073

' 4. 067 

4.060 

4.054 

4.048 

4.042 

4.036 

4.030 

4.023 

4.017 

4.011 

4.005 

3.999

3. 993 

3.986 

3.980 

3.974 

3.968 

3.961 

3.955 

3.949 

 3. 943 

3.936 

 3. 930 

3.924

3.917 

3. 911 

3.905 

3.898 

3.892 

3.886 

3.879 

3.873 

3.867 

3.860 

3.854 

3.848

3.841 

3.835 

3. 828 

3.822 

3.815 

3.809 

3. 802 

3.796 

3.790 

3.783 

3.777 

3.770

3.764

7£' longitude.

Inches. 

6.209 

6.200 

6.191 

6.181 

6.172 

6. 163 

6.154 

6.146 

6.136 

6.127 

6.118 

6.109

6.100 

6.091 

6.081 

6. 072 

6.063 

6.054 

6.044 

6. 035 

6. 026 

6.017 

6.008 

5.998

5.989 

5.980 

5.970 

5.961 

5.951 

5. 942 

5.933 

5.923 

5.914 

5.904 

5.895 

5.886

5.876 

5.867 

5. 857 

5.848 

5.838 

5.829 

5.819 

5.810 

5.800 

5.790 

5.781 

5.771

5.762 

5. 752 

5.742 

5.733 

5.723 

5.713 

5. 704 

5.694 

5.684 

5.675 

5.665 

5.655

5.646

10' longitude.

Inches. 

8.278 

8.266 

8.254 

8.242 

8. 230 

8.218 

8.206 

8.194 

8.181 

8.169 

8.157 

8. 145

8.133 

8.121 

8.108 

8.096 

8.084 

8.072 

8. 059 

8.047 

8.035 

8. 022 

8.010 

7.998

7.985 

 7.973' 

7.960 

7.948 

7. 935 

7.923 

7.910 

7.898 

7.885 

7.872 

7.860 

7.848

7.835 

7. 822 

7.810 

7.797 

7.784 

7.771 

7.759 

7.746 

7.733 

7.721 

7.708. 

7.695

7.682 

7.670 

7.657 

7.644 

7.631 

7.618 

7.605 

7.592 

7. 579 

7.566 

7.553 

7.540

7.528

12i' longitude.

Inches. 

10. 348 

10. 333 

10. 318 

10. 302 

10.287 

10. 272 

10. 257 

10. 242 

10. 227 

10. 212 

10. 197 

10. 182

10. 166 

10. 151 

10. 136 

10. 120 

10. 105 

10.090 

10. 074 

10. 059 

10. 043 

10.028 

10.013 

9.997

9.982 

9.966 

9.950 

 9.935 

9.919 

9.903 

9.888 

9.872 

9.856 

9.841 

9.825 

9.809

9.794 

9.778 

9.763 

9.746 

9.730 

9.714 

9.698 

9.683 

9.667 

9. 651 

9.635 

9.619

9.603 

9.587 

9.571 

9.555 

9.538 

9.522 

9:506 

9.490 

9.474 

9.458 

9.442 

9.426

9.409

15' longitude.

Inches. 

12. 417 

12. 399 

12. 381 

12. 363 

12. 345 

12. 327 

12. 308 

12.290 

, 12.272 

* 12.254 

12. 236 

12.218

12. 200 

12. 181 

12. 163 

'12.144 

12. 126 

12. 107 

12. 089 

12. 070 

12. 052 

12. 033 

12. 015 

11.996

11.978 

11. 959 

11.940 

11.922 

11.903 

11.884 

11.865 

11.846 

11. 828 

11.809 

11. 790 

11. 771

11.752 

11. 733 

11.714 

11.695 

11.676 

11.657 

11. 638 

11 619 

11. 600 

11. 581 

11.562 

11.543

11.524 

11.504 

11.485 

11. 466 

11.446 

11.427 

11.407 

11. 388 

11. 369 

11.349 

11.330 

.11.311.

11.291

Ordinates of developed 

parallel.

Longitude interval.

91 5"

 71 

10 

12J 

15

2i 

5 

7£ 

10 

12i 

15

Longitude interval.

2i 

5 

7£ 

10 

12J 

15

2£ 

5 

7£ 

10 12i 

15

2& 

5

10° 

12i 

15

45°

Inches. 

"0. 001 

..002 

.005 

.009 

.013 

.019

47°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

47°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

49°

Inches. 

0.001 .002- 

.005 

.008 

.013 

.019

49°

Incites. 

0.001 

.002 

.005 

.008 

.013 

. .019

46°

Inches. 

0.001 

.002 

.005 

.009 

.013 

.019

48°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

50°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019
G A.NNETT.] GEOGRAPHIC TABLES AND FORMULAS. 77

TABLE 9. Coordinates for projection of maps (scale 

[Prepared by S. S. Ganuett.]

Latitude of 

parallel.

O 1

26 00 

05 

07i 

10 

15

20 

224 

25 

30

35 

37i 

40 

45

50 

524 

55 

60

27 00 

05 

074 

10 

15

20 

224 

25 

30

35 

37$ 

40 

45

50 

524 

55 

60

28 00 

05 

074 

10 

15

20 

224 

25 

30

35 

37i '10 

45

50 

524 

55 

60

Abscissas of developed parallel.

"Longitude interval.

5'

Inches: 

7.300 

.294 

.292 .389- 

.284

7.279 

. 276 .273' 

.268

7.263 

.260 

.258 

.252

7.247 

.245 

.242 

.237

7.237 

.231 

.229 

.226 

.221

7.215 

.212 

.209 

.204

7.199 

.196 

.193

.188

7.182 

.180 

.177 

.171

7. 171 

.166 

.163 

.160 

. 155

7.149 

.147 

.144 

.138

7.132 

.129 

.127 

.121

7.116 

..113 

.110 

.104

74'

Inches. 

10. 949 

.941 

.937 

.'933 

.926

10. 918 

.914 

.910 

.902

10.894 

.890 

.886 

,878

10. 871 

.867 

.863 

.855

10.855 

.847 

.843 

.839 

.831

10. 822 

.818 

.814 

.806

.10.798 

.793 .789' 

.781

10. 774 

.769 

.765 

.757

10. 757 

.749 

.744 

.740 

.732

10. 724 

.720 

.715 

.707

30.698 

.694 

.690

.681

10. 673 

.669 

.665 

-.656

10'

Inches. 

14. 599 

.589 

,.583 

.578 

.568

14. 557 

.552 

.547 

.537

14. 526 

.521 

.515 

.505

14. 495 

.489 

.484 

.473

14.473 

.463 

.457 

.452 

.442

14.430 

.425 

.419 

.408

14. 397 

.392 

.386 

.375

14. 365 

.359 

.354 

.343

14. 343 

.332 

.326 

.321 

.309

14. 299 

.293 

.287 

.276

14:265 

.259 

.253 

.242

14.231 

.225 

.220 

.209

15'

Inches. 

21. 899

.883 

.875 

.867 

' .852

21.836 

.828 

.820 

.805

21. 789 

.781 

.773

.757

21.742 

.734 

.726 

. 71 0 .

21.710 

 .694 

.686 

.678 

.662

21. 645 

.637 

.628 

.612

21. 596 

.587 

.579 

.563

21.547 

.539 

.531. 

.514

21. 514 

.498 

.489 

.481 

.464

21.448 

.440 

.431 

.414

21. 397 

.388 

.380 

.363

21.347 

.338 

.330 

.213

Ordinates of developed parallel.

Longitude 

interval.

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 

8 

9 

10

Longitude interval.

5 

74 '10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 

8 

9 

. 10

Longitude interval.

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 

8 

9 

10

Inch.

.002 

.005 

.009 

.021

Meridional distance.

Inches. 

1.615 

3.231 

4.846 

6. 461 

8.077 

9. 692 

11..308 

12. 924 

14. 539 

16.154

Inch.

.003 

.005 

.010 

.022

Meridional dista.nce.

Inches. 

1.616 

3.232 

4.847 

6.463 

8. 078 

9.694 

11. 310 

12. 925 

14. 541 

16. 157

Inch.

.003 

.005 

.010 

.022

Meridional distance.

Inches. 

1.616 

3.232 

4.848 

6.464 

8. 079 

9.695 

11.311 

12. 927 

14.543 

16. 159
78 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 9.- Coordinates for projection of maps (scale Tr^inr-) Continued.

Latitudeof

parallel.

o /

29 00

°-i

10°

1 Pi 10

20

224

25 

30

 35

374

40 

45

50 

524

55

60

30 00 

05

074

10

15

20. 

224 

25

30

35 

374 

40 

45

50 

524 

55 

60

31 00

05

074 

10

15

20

224 

25 

30

35 

374 

40 

45

50

524

55

60

Abscissas of developed parallel.

Longitude interval:

5'

Inches.

7.104

.099

.096

.093 

.087

7.081

.078

.075 

.070

7.064

.061

.058 

.052

7. 046 

.043

.041

.035

7.035 

. 029 

.026

.023

.017

7.011 

.008 

.005

6.999

6. 993 

.990

.987 

.982

6.976 

.973 

.970 

.963

6.963

.957

.954

.'945

6.939

.936 

.933 

.927

6. 920 

.917 

.915 

.908

6.902

.899

.896

.890

74'

Inches.

10. 656

.648

.643

.639 

.630

10. 621

.617

.613 

.604

10. 596

.591

.587 

.578

10. 569 

.565

.561

. 552

10.552 

.543

.538

.534

.525

10. 516 

.512 

.507

.499

10. 490

.485 

.481 

. .472

10. 463 

. .459 

.454 

.445

10. 445

.436

.431 

.426

.417

10.408

.404 

.399 

.390

10. 380 

.376 

.372 

.362

10. 353

.348

.344

.334

10'

Inches.

14. 209

.197

. 191 .185' 

.174

14. 162

.156

.151 

.140

14.128

.122

.116 

.105

14. 093 

.087

.081

.069

14. 069 

.057

.051

' .045

.035

14. 022 

.016 

.010

13. 999

13. 987 

.981 

.975 

..963

13. 951 

. .945 

.939

.927

13. 927

.915

!902

.890

13. 878

.872 

.865 

.853

13, 841 

.835 

.829 

.817

13. 804

.797

.792

.779

15'

Inches.

21.313

.296

.287

.278 

.261

21. 243

.234

.226 

.209

21. 192

.183

.174 

.157

21.139 - 

.130

.122

.104

21. 104 

.086

.077

.068

.051

21. 033 

.024 

.015

20. 998

20. 980 

.971 

.962 

.945

20. 927 

.918 

.909 

.890

20. 890

.872

.862

'. 835

20. 817

.808 

.798 

.780

20. 761 

.752 

.744 

.725

20. 706

.696

.688

.669

Ordmates of developed parallel.

Longitude

interval.

,

5

74

10 '15

Latitude 

interval.

1

2

3 

4

5

6 

7

8

9 

10

Longitude interval.

/ '

5

74

10

.15

Latitude 

interval.

/

1 

2 

3 

4 

5

6

7 

8 

9 

10

Longitude interval.

/

5

74

10

!5 .

Latitude 

interval.

1

2 

3

4

5

6

7

8

9

10

Inch.

.003

.006

.010

.023

Meridional distance. .

Inches. 

1.616

3.232

4. 848 

6.464

8

nci

. Uol. 

9. -697 

11. 313

12. 929

14. 545 

16.161

Inch.

.003

.006

.010

.023

Meridional distance.

Inches.

1.616. 

3.233 

4.849 

6.465

9^698

11. 314 

12. 931 

14. 547 

16. 163

Inch.

.003

.006

.011

.024

Meridional distance.

Inches. 

1.617 

3.233 

4.850

6.467

8.083

9.700

11. 317

12. 932

14.549

16. 166
GANNETT.] GEOGKAPHIC TABLES AND FORMULAS. 79

TABLE 9. Coordinates for projection of maps- (scale ^rtaff) Continued

Latitude of 

parallel.

0 /

32 00 

05 

074 

 10

15

20

 JO I

25° 

30

35 

371 

40

45

50 

524 

55 

60

33 00 

05 07i 

10 

15

20 

224 

25 

30

35 

374 

40 

45

50 

524 

55 

GO

31 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

40 

45

50 

524 

55 

60

Abscissas of developed parallel.

Longitude interval.

5'

Incites. 

6.890 

.883 

.880 

.877 

.871

6.864 

.861 

.858 

.852

6.845 

.842 

.839 

.833

6. 826 

.823 

.820 

.814

6. 814 

.807 

.804 

.801 

.794

6.788 

.784 

.781. 

.775

6.768 

.765 

.762

.755

6.749 

-.745 

.742 

.736

6.736 

.729 

.726 

.722 

.716

6. 709 

.706 

.702 

.696

6. 689 

.686 

.682 

.676

6. 669 

. 666 

.662 

.656

74'

Inches. 

10. 334 

.325 

.320 

.315 

.306

10. 296 

.291

.287 

.277

10. 268 

.263 

.258 

.249

10.239 

.234 

.230 

.220

10. 220 

.210 

.205 

..201 

.191

10. 181 

.176 

.171 

.162

10.152 

.147 

.142 

.132

10.123 

.118 

.113 

.103

10.103 

.093 

.088 

.083 

.073

10.063 

.058 

.053 

...043

10. 033 

.028 

.023 

.013

10. 003 

9. 998 

.993 

.983

10'

Inches. 

13. 779 

.767 

.760 

.754 

.742

13.729 

 .722 

.716 

.703

13. 691 

.684 

.678 

. 665

13.653 

.646 .640 ' 

.627

13. 627 

.614 

.607 

.601

.588

13. 575 

.569 

.562 

.549

13.536 

.529 

.523 

.510

13. 497 

.491

.484 

.471

13. 471 

.458 

.451 

.445 

.431

13.418 

.411 

.405 

.391

13.378 

.371 

.365 

.351

13. 338 

.331 

.325 

.311

15'

Inches. 

20.669 ' 

. .650 

' .640 

.631 

. 612

20. 593 

.583 

. . 574 

.555

20.536 

.526 

.517 

.498

20.479 

.469 

.460 

.441

20. 441' 

M21 

.411 

.402 

.382

20. 363 

.353 

.343 

.324

20. 304 

.294 

.285 

.265

20. 246 

.236 

.226 

.207

20. 207 

.187 

.177 

.167 

;147

20. 127 

.117 

.107 

.087

20. 067 

.057 

.047 

.027

20.007 

19.997 

.987 

.967-

Ordinates of developed parallel.

Longitude 

interval.

5 

74 

10

15

Latitude 

interval.

1

2 

3 

4 

5 

 6 

7 

8 

9 

10

Longitude 

interval.

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 . 

7 

8 

9 

10

Longitude 

interval.

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 8 ' 

9 

1 10

Inch.

.003 

.006 

.011 

.024

Meridional distance.

Inches. 

1.617 

3.234 

4.851 

6.468 

8. 085 

9.702 

11.319 

12. 935 

14. 552 

16.169

Inch.

.003 

.006 

.011 

.024

Merjdional distance.

Inches. 

1. 617 

3. 234 

4.852 

6. 469 

8.086 

9.703 

11.321 

12. 938 

14.555 

16. 172

Inch.

.003 

.006 

.011 

.025

Meridional distance.

Inches. 

1.617 

3.235 

4. 852 

6.469 

8.087 

9.705 

11.322 

12. 938 

14. 557 

16. 174
80 GEOGBAPHIC TABLES AND FOEMULAS. [BULL. 234.

TABLE 9. Coordinates for projection of maps (scale, Continued.

Latitude of 

parallel.

o / 

35 00 

05 

074 

10 

15

20 

224 

25 

30

35 

37* 

40 

45

50 

524 

55 

60

36 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

40 

45

50 

524 

55 

60

37 00 

05 

074 

10 

15

20 

.22* 

25 

30

35 37i 

40 

45

50 

52£ 

55 

60

Abscissas of developed parallel.

Longitude interval.

5'

Inches. 

6.656 ' 

.649 

.645 

.642 

.635

6.628 

.625 

.622 

.615

6.608 

.605 

.601 

.594

6.588 

.584 

.581 

.574

6.574 

.567 

.564 

.560 

. .553

6.546 

.543 

.539 

.532

6.525 

.522 

.518 

.511

6.504 

.501 

.497 

.490

6.490 

.483 

.479 

.476 

.468

6.461 

.458 

.454 

.447

6.440 

.436 

.433 

.425

6.418 

.415 

.411 

.404

74'

Inches. 

9.983 

.973 

.968 

.963 

.953

9.942 

.937 

.932 

.922

9.912 

.907 

.902 

.891

9.881 

.876 

.871 

.861

9.861 

v .850 

.845 

.840 

.829

9.819 

.814 

.808 

.799

9.787 

.782 

..777 

.'766

9.756 

.751 

.745 

.735

9.735 

.724 

.718 

.713 

.702

9.691 

.686 

.681 

.670

9.659 

.654 

.649 

.638

9.627 

.622 

..616 

' .605

10'

Inches. 

13.311 

..298 

.291 

.284 

.271

13.257 

.250 

.243 

' .230

13. 216 

.209 

.203 

.189

13. 175 

.169 

.161 

.148

13.148 

.134 

.127 

.120 

.106

13. 092 

.086 

.078 

.064

13.050 

.044 

.036 

.022

' 13.008 

.001 

12. 994 

.980

12. 980 

.965 

.958 

.951 

.937

12. 922 

.915 

.908 

.893

12. 879

 .872 

.865 

.851

12.836 

.829 

.822 

.808

15'

Inches. 

19. 967 

.947 

.936 

.926 

.906

19.885 

.875 

.865 

.845

19. 824 

.814 

.804 

.783

19. 763 

.753

.742 

.722

19. 722 

.701 

.691 

.680 

.659

19. 638 

.628 

.617 

.596

19. 576 

.565 

.554 

.533

19. 512 

.502 

.491 

.470

19. 470 

.448 

.437 

.427 

.405

19. 383 

.373 

.362 

.340

19. 319 

.308 

.298 

.276

19. 254 

.244 

.233 

.211

Ordinates of developed parallel.

Longitude 

interval.

5 ' 

.74 

10 

15

Latitude 

interval.

 l

2 

3 

4 

5 

6 

7 

S 

9 

10

Longitude 

interval.

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

.4 

5 

.6 

7 

8 

9 

. 10

Longitude 

interval.

5 

74 

10 

15

Latitude 

interval.

1

2 

3 4 ' 

5 

6 . 7 

8 

9 

10

Inch.

.003 

.006 

.011 

.025

Meridional distance.

Inches. 

1.618 

3.236 

4.853 

6.471 

8.089 

9.706 

11.324 

12. 942 

14. 560 

16. 178

Inch.

.003 

.006 

.011 

.025

Meridional distance.

Inches. 

1.618 

3.236 

4.854 

6.472 

8.090 

9.708 

11.326 

12. 944 

14. 562 

16. 180

Inch.

.003 

.007 

.012 

 .026

Meridional distance.

Inches. 

1.618 

3. 236 

4.855 

6.473 

8.091 

9.709 

11.328 

12. 946 

14.564 

16. 182
GANNETT.J GEOGKAPHIC TABLES AND FOEMULA8. 81

TABLE 9 . Coordinates for projection of maps (scale Continued.

Latitude

of

parallel.

o /

38 00

 05

074

10

15

20

224

25 

30

35 

374 

40 

45

50 

524

55

60

39 00 

05

074

10

15

20 

224 

25

30

35 

374 

40 

45

50 

. 524 

55 

60

40 00

05

074 

10

15

20

224

25 

30

35 

374 

40 

45

50

524

55

60

Abscissas of developed parallel.

Longitude interval.

5'

Inches.

6.404

.396

.393

.389

.382

6.375

.371

.367 

.360

6.353 

.349 

.346 

.338

6. 331 

.327

.324

.316

6. 310 

.309

 .305

.301 '

 .294

6. 286 

.282 

.279

.271

6. 264 

.260 

.256 

.249

6.241 

.237 

.234 

.226

6.226

.219

.215 

.211

.203

6.196

.192

.188 

.180

6. 173 

.169 

.165 

.157

6. 150

.146

.142

.134

74'

Inches.

9.605

.594

.589

. 584

.573

9.562

.556

.551 

.540

9.529 

.523 

.518 

 .507

9. 496 

.491

.485

.474

9.474 

.463

.457

.451

.440

9.429 

.423 

.418 '

.406

9.395 

.389 

.384 

.373

9. 361 

.356 

.350 

.339

9. 339.

.328

!316

.305

9.293

.288

' .282 

.270

9.259 

.253 

.247 

.236

9. 224

.219

.213

.201

10'

Indies.

12.808.

.792

.786

.778

.764

12.750

.742

.734 

.720

12. 706 

.698 

.692 

.676

12. 662 ' 

.654

.648

. 631

!617

.609

.602

.587

12.572 

.565 . 

.557

.542

12. 527 

.520 

.512 

.497

12. 482 

.475 . 

.467 

..452

12. 452

.438

.429 

!422

.406

12.392

.384

.376 

.361

12. 346 

.338 

.330 

.315

12. 300

' .292

.285

.269

15'

Inches.

19. 211

.189

.178

.168

.146

19. 124

.112

.102 

.080

19.058 

.047 

.037 

.014 '

18.992 

.982

.791

.948

18.948 

.926

.914

.903

.881

18.858 

.847 

.836

.813

18. 791 

.780 

.768 

.746

18. 723 

.712 

.701 

.678

18. 678

'.656

.644 

.633

.609

18. 587

.076

.564 

.540

!506 

.495 

.472

18.449

.438

.427

.403

Ordinates of developed parallel.

. Longitude

interval.

,

5

74

10

15

Latitude 

interval.

1

2

3 

4 

5 

6

7

8

9 10-

Longitude

interval.

/

5

74

10

15

Latitude 

interval.

/

1

2 

3 

4 

5

6

7 

 8 

9 

10

Longitude

interval.

-

5

74

1015-

Latitude 

interval.

1 

2 

3 

4

5

6

7

8

9

10

Inch.

.003

.007

.012

.026

Meridional distance.

Inches. 

1.619

3.237

4.856 

6.475 

8.093 

9.712 

11. 331

12. 949

14.567 

16. 186

Inch.

.003

.007

.012

.026

Meridional distance.

Inches.

1.619 

3.2B7 

4.856 

6.475 

8.094

9.712

11.331 

12.950 

14.569 

16. 188

Inch.

.003

.007

.012

.026

Meridional distance.

Inches. 

1.619 

3. 238 

4.857 

6.476

8.095

9.714

11.333

12. 952

14.571

16. 190

Bull. 234 04-
.82 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 9. Coordinates for projection of maps (scale 0^7) Continued.

Latitude 

of . 

parallel.

o /

41- 00

05

074

10

15

20

224

25 

30

35 

374

40 

45

60 i

55°

60

42 00 

05

074

. 10

15

20 

224 

25

30

 35

374 

40 

45

50 

52*

55 

60

43 00

05

074 

10

16

20

224

25 

30

35

374 

40 

45

60

624

85

60

Abscissas of developed parallel. .

Longitude interval.

5'

Inches,

6.134

.127

.123

.119

.111

6.103

.099

.095 

.087

6.080 

.076

.072 

.064

. 6. 056 

.052

.048

.041

6.041 

.033

.029

.025

.017

6.009 

.005 

.001

5.993

5.985

.981 

.977 

.969

5.961 

.957

.953 

.945

5.946

.937

!929

.921

5'. 913

.909

.905 

.896

5.888

.884 

.880 

.872

5.864

.860

.856

.848

nInches.

9.201

.190

.184

.178

.166

9.155

.149

.143 

.131

9.119 

.113

.107 

.096

9.084 

.078

.072

.061

9

-ic-t

. JuJ.

.049

.043

.037

.025

9.013 

.007 

.001

8.989

8.978

.971 

.966 

.954

8.942 

.936

.930 

.918

8.918

.906 

Qftft . y\j\j

.893

.881

8.869

.863

.857 

.844

8.832

.826 

.820 

.808

8.796

.790

.783

.771

10'

Inches.

,12.269

.254

.246

.238

12. 206

.198

.190 

.175

12. 159 

.152

.143 

.128

12. 113 

.105

.096

.081

1 O fifil It. Uol

.066

.057

.050

.034

12.018 

.010 

.002

11. 986

11. 970

.963 

. .955 

939

11.923 

.915

.907 

.891

11. 891

.875

QfiQ oOo 

.858

.842

11.825

.817

.809 

.793

11. 777

.769 

.760 

.744

11. 728

.720

.711

.695

15' .

Inches.

18. 403

.380

.368

.356

.333

18.310

.298

.286 

.263

18.239 

.227

.215 

.192

18. 169 

.157

.145

.122

1Q lO-l IQ. \-£,£t

.098

.086

.074

.051

18.027 

.015 

.003

17. 979

17. 956

.944 

.932 

.908

17.884 

.872

1 .'861 

.836

 17.836

..812

SflA .OUU

.787

.763

17.738

.726

-.714 

.689

17. 665

.653 

.640 

.616

17. 592

.580

.567

.543

Ordinates of developed parallel.

Longitude 

interval.-

.

5

74

Inch.

.003

.007

10 ! .012

15 ! .026 t

Latitude 

interval.

1

2

3 

4

0 

 6

7

8

9 

10

Longitude

interval.

»

5

74

10

16

Latitude 

interval.

1

Meridional distance.

Inches. 

1.619

3.239

4.858 

6.477

8

fWV7 .(Jyf

9.716 

11.335

12.955

14.574 

16.193

Inch.

.003

.007

.012

.026

' Meridional distance.

Inches.

1.620

U. O 99O t*Va

3 i 4.859 

4 6. 478 

5 8. 098

6 1 9. 718

7 

8

11.337 

12.957

9 14. 0/0 

10 | 16.196

Longitude

interval.

/ '

5

74

10

16

Latitude 

interval.

1 

2 . 3 

4

5

6

7

8

9

10

Inch.

.003

.007

.012

.026

Meridional distance.

Inches.

1.620 

3.240 

4.860 

.6.480

8.100

9.719

11.339

12.959

14.579

16.199
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 9. Coordinates for projection of maps (scale ^5-^5-) Continued.

83

Latitude 

of 

parallel.

o /

44. 00 

05 

074 

10 

15

20 

. 224 

25 

30

 35 

374 

40 

45

50 

524 

55 ' 60

45 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

40 

45

50 

52* 

55 

60

46 00 05 ' 

074 

10 

16

20 

224 

25 

30

35 

374 

40 

45

50 

524 

55 

60

Abscissas of developed parallel.

Longitude interval.

5'.

Inches. 

5.848 

. 839 

.835 

.831 

.823

5. 815 

.810 

.806 

.798

5.790 

.786 

.782 

.773

5. 765 

.761 

.757 

' .749

5.749 

.740 

.736 

.732 

.724

5.715 

.711 

.707 

.699

5.690 

.686 

.682 

.673

5.665 

.661 

.657 

.648

5.648 

.639 

.635 

.631 

.622

5.614 

.609 

.605 

.597

5.588 

.584. 

.579 

.571

6.562 

.558 

 .554 

.545

74'.

Inches. 

8.771 

.759 

.753 

.746 

.734

8.722 

.715 

.709 

.697

8.685 

.678 

.672 

.660

8.647 

.641 

.635 

.623

8.623 

.610 

.604 

.598 

.585

 8.573 

.567 

.560 

.548

' 8.535 

.528 

.522 

.510

8.497 

.491 

.485 

.472

8.472 

.459 

.453 

.446 

.433

8.420 

.414 

.408 

.395

8.382 

.376 

.369 

' .356

8.343 

.337 

.330 

.318

10'.

Inches. 

11.695 

.679 

.670 

.662 

.646

11. 629 

' .621 

.613 

.596

11.580 

.571 

.563 

.547-

11. 530 

.523 

.514 

.497'

11. 497

.481 

.472 

.464 

.447

11. 431 

.423 

.414 

.397

11.380 

.371 

.363 

.347

11.330 

.321 

.313 

.296

11.296 

.278 

.271 

.262 

.245

11. 227 

.219 

.211 

.193

11.176 

.167 

.159 

.142

11.125 

.117 

.107 

.091

15'.

Inches. 

17. 543 

.518 

.505 

493 

.469

17.444 

.431 

.419 

.394

17.370 

.357 

.345 

.320

17. 295 

.284 

. .271 

.246

17.246 

' .221 

.208 

.196 

.171

17. 146 

.134 

.121 

.096

17. 070 

.057 

.045 

 '.020

16.995 

.982 

.970 

.944

' 16.944 

. .918 

.906 

.893

.867

16.841 

.828 

.816 

.790

16. 764 

.751 

.738 

.713

16. 687 

.675 

.661 

.636

Ordinates of developed parallel.

Longitude 

interval.

/

5 

74 

10 

15

Latitude 

interval.

1 

2 3' 

4 

5 

6 

7 

8 

9 

10

Longitude 

interval.

/

5 

74 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 

8 '9 

10

Longitude 

interval.

/ 

5 

74 

10 

15

Latitude 

interval.

/ 

1 

2 

3 

4 

6 

6 

 7 

8 

9 

10

Inch.

.003 

.007 

.012 

.027

Meridional distance.

Inches. 

1.620 

3.240 

4. 861 

6.481 

8.101 

9.721 

11.341 

12. 962 

14. 582 

16. 202

Inch.

.003 

.007 

.012 

.027

Meridional distance.

Inches. 

1.621 

3.241 

4.862 

6.483 

8..103 

, 9*723 

11. 315 

12. 964 

14.585 

16. 206

Inch.

.003 

.007 

.012 

.027.

Meridional distance.

Inches. 

1.621 

3.242 

4.863 

6.484 

8.105 

9.725 

11. 347 

12. 968 

14.588 

16.209
84 , GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 9. Coordinaf.es for projection of maps (scale y^^nr) Continued.

Latitude 

of 

parallel.

0 /

47 00 . 

05 

07i 

10 

15

20 

22J 

25 

30

35 

37£ 

40 

45

50 

53* 

55 

60

48 '00 

05 

07£ 

10 

15

20 

22* 

25 

30

35 

37£ 40 

45

50 

' 52* 

55 

60

49 00 

05 

07* 

10 

15

20 

22i 

25 

30

35 

37£ 

40 

45

50 

62| 

55 

60

Abscissas of developed parallel.

Longitude interval.

5'.

Inches. 

5.545 

.537 

.532 

.528 

.519

5.510 

.506 

.502 

.493

5.484 

.480 

.476 

.467

5.458 

.454 

.449 

.441

5.441 

.432 

- .428 

.424 

.415

5.406 

.401 

.397 

.388

5.380 

.375 

.370 

.362

5.353 

.349 

.344 

.335

5.335 

.326 

.322 

.317 

.308

5.299 

.295 

.291

.282

5.272 

.268 

.264 

.255

5.246 

.241 

.237 

.227

 7i'.

Inches. 

8.318 

.305 

.298 

.292 

.279

8.265 

.259 

.252 

.239

8.226 

.220 

.213 

.200

8.187 

.181 

.174 

.161

8.161 

.148 

.142 

.135 

.122

8.108 

.102 

.095 

.082

8.069 

.062 

.055 

.042

8.029 

.023 

.016 

.002

8.002 

7.989 

.982 

.976 

.962

7.948 

.942 

.936 

.922

7.908 ' 

.902 

.895 

.882

7.868 

.862 

.855 

.841

10'.

Inches. 

11. 091 

.073 

.065 

.056 

.039

11.021 

.012 

.003 

10. 986

10. 979 

.960 

.951 

 .934

10.916 

.908 

.899 

.882

10. 882 

.865 

.856 

.847 

.830

10. 811 

.803 

.794

.777

10. 759 

.750 

.741 

.723

10.706 

.697 

.689 

.670

10. 670 

.652 

.643 

.635 

.616

10.598 

.590 

.581 

.563

10.545 

.536 

.527 

,509

10.491 

.482 

.473 

.455

15'.

Indies. 

16. 636 

.610 

.597 

.584 

.558

16. 531

.518 

.505 

.479

16.453 

.440 

.427 

.401

16. 374 

.362 

.348 

.823

16. 323 

.297 

.284 

.271 

.245

16.217 

.204 

.191 

 .165

16. 139 

.125 

.111 

.085

. 16.059 

.046 

.033 

.005

16.005 

15. 978 

.965 

.952 

.924

15.897 

.885 

.872 

.845

15.817 

.804 

.791 

.764

15.737 

.723 

.710

.682

Ordinates of developed parallel.

Longitude 

interval.

5 

7* 

10 

15

Latitude 

interval.

1 

2

3 

4 

5 

6 

7 

8 

9 

10

Longitude 

interval.

5 

U 

10 

15

Latitude 

interval.

' 1 

2 

3 

4 

5 

6 

7 

8 

9 

10

Longitude 

interval.

5 

7* 

10 

15

Latitude 

interval.

1 

2 

3 

4 

5 

6 

7 

8 

9 

10

Inch.

.003 

.007 

.012 

.026

Meridional distance.

Inches. 

1.621 

3.242 

4.863 

6.484 

8.105 

9.726 

11. 348 

12. 969 

14. 590 

16.211

Inch.

.003 

.007 

.012 

.026

Meridional distance.

Inches. 

1.621 

3.242 

4.864 

6.485 

8.107 

9.728 

11.349 

12. 971 

14. 692 

16. 213

Inch.

.003 

.007 

.012 

.026

Meridional distance.

Inches. 

1.622 

3.243 

4.865 

6.486 

8.108 

9.730 

11. 351 

12. 972 

14. 594 

16. 216
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

JO. Coordinates for the projection of maps (scale -^ 

[Prepared by S. S. Gannett and George T. Havvkins.]

85

Latitude 

of

parallel.

o /

26 00

05

07*

10

15

20 

22*

25

30

35 

37* 

40 

45

50

52*

55

60

26 00

05

07*

 10

15

20 

22* 

25

30

35

37*

40

45

50 

52*

55

60

27 00

05

07*

10

15

20 

22*. 

25

30

35

37*

40

45

60

52*

55

60

Abscissas of developed parallel.

Longitude interval.

1'.

Inches.

5.520

.516

.515

.512

.509

5. 505 

.503

.501

.497

5.494 

.492 

.490 

.486

5. 482

.480

.478

.475

5. 475

.470

.469

.467

.463

5.459 

.457 

.455

.451

5.447

.445

.443

.439

5

,ioe 

. loo

.433

.431

.428

. 5.428

. .422

.421

.420

.415

5.410 

.409 

.407

.403

5.399

.397

.395

.391

5.387

.384

.382

.378

2'..

Indies.

11.040

.032

.029

.025

.018

11. 010 

, .006

.002

10. 995

10. 988 

.984 

.980 

.972

10. 965

.961

.957

.950

10. 950

.942

.937

.933

.925

10. 918 

.914 

.910

.902

10. 894

.890

.887

.878

10. 870 

.866

.863

.855

10. 855

.848

.843

.839

.831

10. 822 

.818 

. 815

.805

10. 798

.794

.790

.782

10. 774

.768

.765

.758

3'.

Inches.

16. 560

.549

.544

.538

.528

16. 515 

.509

.503

.492

16. 480 

.476 

.470 

.458

16. 448

. 441

.435

.424

16.424

.412

.406

.400

.389

16. 377 

.371 

.365

.353

16. 341

.335

.330

.318

16.306 

.298

.294

.282

10. 283

.270

.264

.258

.247

16. 233 

.227 

.220

.210

16. 198

.191

.185

.172

16. 160

.154

.148

.135

4'.

Inches.

22. 080

.005

.057

.050

.035

22. 020 

.012

.005

21. 990

21. 975 

.968 .960' 

.945

01 o'-ift £i. you 

.921

.915

.900

21. 900

.882

.875

.867

.852

21. 835 

.828 

.820

Qfl^ 

. QUO

21. 789

.780

.773'

.758

21. 741 

.732

.725

.710

21. 710

.695

.686'

.678

.662

21. 645 

.636 

.628

.612

21. 595

.688

.580

.562

21. 548

.538

.530

.515

5'.

Inches.

27. 600

.581

.572

.562

.544

27. 525 

. 516

.506

.487

27.468 

.459 

.449 

.430

27. 411

.401

.392

.373

27. 373

.353

.343

.333

. 314

27: 294 

.284 

.275

OCR

. £>Jd

27.235

.225

.216

.196

27.176 

.167

.157

.138

27. 138

. 118

.108

.097

.077

27. 050 

.046 

.035

.015

26. 995

.984

.974

.953

20. 933

.922

.912

.892

Ordinates of developed parallel.

Longitude

interval.

,

1

2

3

4

5

Latitude 

interval.

/

1

2 

3 

4 

5

Inch.

.000

.002

.003

.006

.009

Meridional 

distance

Inches.

6.057

12. 114 

18. 171 

24. 228 

30. 285

Longitude

interval.

1

2

4

5

Latitude 

interval.

/

1

2

3

4

5

Inch.

.000

.002

.003

.006

.009

Meridional 

distance.

Inches.

6.058

12. 115

18. 173

'24.231

30. 289

Longitude

interval.

1

2

3

4

5

Latitude 

interval.

'

1

2

3

4

5

Inch.

.000

.002

.003

.006

.010

Meridi-- 

onal 

distance.

Inches.

6.058

12. 117

18. 175

24. 235

30. 292
86 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE. 10. Coordinates for the projection of maps (scale x-jfonr) Continued.

Latitude 

of

parallel.

o /

28 00

05

07^

10

15

20 

22i

25

30

35 1

40" 

45

5°,

55"

60

29 00

05

07£

10

15

2?i 

25°

30

35 1

40°

45

50

521

55

60

30 00

05

07j

10

15

20

22^ 

25

30

35

37j

40

45

50

52J

55

GO

Abscissas of developed parallel.

Longitude interval.

V.

Inches.

5.378

.374

.372

.370

.366

- 5.362 

.360

.358

.354

5.349 

.347 

.345 

.341

5.336

.334

.332

. .328

5. 328

.324

.322

.320

.315

5.310 . 

 .308 

.306

.302

5.298 

.295

.294

.289

5.284 '

.282-

.. .280

.275

5.275

.272

.269

.267

.262

5.258

.256 

.254

.249

5.245

.243

.240

.236

5.232

.229

.227

.222

2'.

Inches.

10. 758

.749

.745

.740 '

.732

10. 724 

.720

 .715

.708

10. 698 

'.694 

.690

.682

10. 673

.668

.665

.657

10.657

.648

.643

.640

.630

10. 621 

.617 

.612

.605

10. 596 

.591

.587

.578

10. 569

.565

. .560

.552

10. 552

.543

.538

.534

.525

10. 516

.512 

.507

.499

10. 490

.485

.480

.472

10.463

'.459

.454

.445

3'.

Inches.

16.135

.122

.116

. 110

.098

16. 085 

.078

.072

.060

16. 048 

.041 

.035 

.022

10.010

.004

15. 998

.985

15.985

.971

.965

.958

.945

15. 932 

.925 

'.920

.907

15. 894 

.886

.880

.867

15. 853

.847

'.841

 .828

15. 828

.-815

-.808

.801

.787

15. 774

.768 

.760

'. 748 ,

15. 735

.728

.721

.708

15. 695

.688

.681

.667

4'.

Inches.

21. 516

.498

.488

.480

.465

21. 448 

 .439

.430

' .415

21. 398 

.388 

.380 

.362

21. 348

.339

.330

.312

21. 312

.295

.287

.278

.260

21.242 

. .234 

.225

.209

21.192 

.183

.174

.156

21.137

.130

.121

.104

21. 104

' .086

' .077

.068

.050

21. 032

.024. 

.014

20. 998

20. 980

.971

.961

.944

20. 927

.918

.908

.890

5'.

Inches.

26.892..

.871

.861

.850

.830

26. 810 

.799

.789

.768

26. 746 

.735 

.725 

.703

26.683

.672

.662

.640

26. 640

.619

.608

.598

.575

26. 553 

.542 

.532

.511.

26. 490 

.478

.468

.445

26.422

.412

;401

.380

26. 380

.358

.346

.335

.312

26. 290

.280 

.268

.247

26. 225

.213

.202

 .180

26. 159

.147

.135

.112

Ordinatesof developed parallel.

Longitude

interval.

,

1

2

3

4

5

Latitude 

interval.

/

1

2 

3 

4 

5

Inch.

.000

.002

- .003

.006

.010

Meridional 

distance.

Inches.

6.060

12. 120 

18. 178 

24. 238 

30. 298

Longitude

interval.

1

2

3

4

5

Latitude 

interval.

'

1

2 

3

4

5

Inch.

.000

.002

.003

.006

.010

Meridional 

distance.

Inches.

6.060

12. 121 

18. 182

 24. 242

30. 302

Longitude

interval.

1

2

3

4

5

Latitude

interval.

%

1

2

3

4

5

Inch.

.000

.002

.003

.006

.010

Meridional

distance.

Inches.

6.061

12. 122

18.183

24. 245

30. 305
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 87 

TABLE 10. Coordinates for the projection of maps (scale TTUTrTr) Continued.

Latitude 

of

parallel.

o /

81 00

05

074

10

15

20

25"

30 .

35 

374 

40 

45

50 

524 

55 

60

32 00

05

074

10

15

20 

224

25

30

35 

374 

40 

45

50

524

55

60

33 00

05

074

10

15

20 

224

26

30

35 

374 

40 

45

50

. 524

65

60

Abscissas of developed parallel.

Longitude interval.

1'.

Inches.

5. 222

.218

.216

. 2.1.3

.209

5.204 

.202

.200

.195

5. 190 

.188 

.186 

.181

5. 177 

.174 

.172 

. 167

5. 167

.162

.160

.158

.153

5.148 

.146

.143

.139

5. 134 

.131 

.129 

.124

5. 120

. 117

. 115

. 110

5. 110

.105

.103

.100

.096

5. 091 

 '.088

.086

.081

5.076 

.074 

.071 

.066

5. 061

.059

.056

.052

2'.

Inches.

10. 445

.435

.432

.426

. 417

10.408 

.404

.400

.390

10. 381 

.376 

.372 

.362

10. 353 

.348 

. 344 

. 334

10. 334

.325

.320

.315

.305

10. 296 

.291

.286

.277

10. 268 

. 263 

.258 

.249

10. 239

.234

.229

.220

10. 220

.210

.206

.201

.191

10. 182 

. 176

.171

.162

10. 152 

.147 

. 143 

.132

10. 123

.118

.113

.103

3'.

Inches.

15. 667

.654

.647

.640

.626

15. 613 

.605

.598

.585

15. 571 

.565 

.557 

.544

15. 530 

 .523 

. 516 

.502

15. 502

.487

.480

.473

.458

15. 444 

.437

.430

.416

15.401 

.394 1387 

.373

15. 359

.352

.344

.330

15.330

.316

.308

.301

.287

15. 272 

.264

. 257

. 242

15. 228 

.220 

.213 

.199

15.184

.177

.169 .its

4'.

Inches.

20 890

.872

.863

.853

.834

20. 817 

.807

'.798

.780

20. 762 

.753 

.743

.725

20. 706 

.697 

.688 

. 669

20.669

 .650

.640

.630

.611

20. 592

 .582

.573

. 554

20. 535 

.526 

.516 

.498

20.478

.469

.459

 .440

20. 440

.421

.411

.402

.382

20. 363 

.352

.342

.323

20. 304 

.294 

.285 

.265

20. 246

.236

.226

.206

5'.

Inches.

26. 112

.089

.079

.066

.043

26. 021 

.009

25.998

.975

25. 952 

.941 

.929 

.906

25. 883 

. 871 

.860 

.836

25. 836

.812

.800

.788

.764

25. 740 

.728

. 716

.693

25. 669 

.659 

.645 

. 622

25.598

.586

.574

.550

25. 550

.526

.514

.502

.478

25.454 

.440

.428

.404

25.380 ' 

.368 

.356 

.331

25.307

.295

.282

.258

Ordinates of developed parallel. '

. Longitude

interval.

,

1

2.

3

4

5 '

Latitude 

interval.

/

1

2 

3 

4 

5

Inch.

.000

.002

.003 '

.006

.010.

Meridional 

distance.

Inches.

6.062

12.124 

18. 187 

24.249 

30. 311

Longitude 

interval.

1

2

3

4

5

Latitude 

interval.

/

1

2 

. 3 

4

5

Inch.

.000

.002

..003

.007

.010

Meridional 

distance.

Inches.

6.063

12. 127 

18. 190 

24.254 

30. 317

Longitude

interval.

1

2

3

4

.5

Latitude 

interval.

/

1

2 

- 3 

4 

5

Inch.

.000

.002

.003

.007

.010

Meridional 

distance.

Inches.

6.065

12. 129 

18.193 

24. 268 

30. 322
GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234. 

TABLE 10. Coordinates for the projection of maps (scale j^w)~~Continued.

Latitude 

of

parallel.

o /

34 00

05

074

10

15

20224

25

30

35 

374 

40 

45

50 

524 

55 

60

35 00

05

074

10

15

20 

224

25

30

35

374

40

45

50 

524 

55 

60

36 00

05

074

10

15

20 

224

25

30

35 

374 ' '40

45

50

524

55

60

Abscissas of developed parallel.

Longitude interval.

1'.

Inches.

5,052

.047

.044

.042

.037

5.032 

.029

.027

.022

5.017 

.014 

.012 

.007

5.002 

4.999 

.997 

.992

4.992

.987

.984

.982

.976

4.971 

.969

.966

.961

4.956

.953

.951

.946

4.940 

.938 

.935 

.930

4. 930

.925

.923

.920

.915

4.910 

.907

.904

.899

4.894 

.891 

.888 

.883

4.878

.875

.873

.868

2'.

Inches. .

10.103

..093

.089

.083

. -073

10.063 

.058

.053

.043

10. 033 

.028 

.023 

.013

10. 003 

9.998 

.993 

.983

9. 983

.973

.968

.963

.953

9.942 

.937

.932

.922

9.912

.907

.902

' .891

. 9. 881 

. .876 

.871 

.861

9.861

.850

.845

.840

.830

9. 819 

.814

.808

.798

9.787 

.782 

.777 

.766

9.756

.750

.745

.735

3'.

Inches.

15. 155

.140

.132

.125

.110

15.095 

.087

.080

.065

15.050 

.042 

.035 

.020

15. 005 

14. 997 

.9EO 

.975

14. 975

.960-

.952

.945

.929

14. 913 

.906

.898

.883

14. 868

.860

.853

 .837

14.821 

.814 

.806 

.791

14. 791

.776

.768

.760

.745

14.739 

.721

.712

.697

14. 081 

 .673 

.665 

.649

14. 633

.626

.618

.603

4'.

Inches.

20. 206

.186

.176

..166

.146

20. 126 

.116

.106

.086

20. 066 

.056 

.046 

.026

20. 006 

19. 996 

.986 

.966

19. 966

.947

.936

.926

.906

19. 885 

.874

.864

.844

19. 824

.814

.805

.783

19. 762 

.752 

.742 

.722

19. 722

. .701

.690

.680

. .660

19. 638 

.628

.617

. 590

19. 574 

.564 

.554 

.532

19.512

.501

.490

.470

5'.

Inches.

25. 258

.233

.220

.208

.183

25. 158 

.145

.133

.108

25. 083 

.070 

.058 

.033

25. 008 

24. 995 

.983 

.958

24*958

.933

.920

.908

.882

24. 856 

.843

.830

.805

24. 780

.767

.754

.728

24. 702 

.690 

.677 

.652

24. 652

.626

.613

.600

.574

24. 548 

.535

.521

.495

24. 468 

.455 

.442 

.415

24. 389

.376

.363

.338

Ordinates of developed parallel.

Longitude

interval.

,

l'

2

3

4

5

Latitude 

interval.

/

1

2 ' 3

4 

5

Inch.

.000

.002 '

.003

.007

.010

Meridional 

distance.

Inches.

6. 065

12. 130 

18. 198 

24. 262 

30. 328

Longitude 

interval.

1

2

3

4

5

Latitude 

^interval.

/" '

1

2 

qo

4

5

Inch.

.000

.002

.003

.007

.010

Meridional 

distance.

Inches.

6.067

12. 133 TO onn J.O. ^UU

24 266

qfl qoo oU. ooo

Longitude 

interval.

1

2

3

4

5

Latitude 

interval.

/

1

2

3 

4 

5

Inch.

. .000

.002

.005

.007

.010

Meridional 

distance.

Inches.

6. 067

12.135

18. 202 

24. 269 

30. 336
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 89

TABLE 10. Coordinates for ike projection of maps (scale Tsfanr) Continued.

Latitude 

of

parallel.

o /

37 00

05

074

10

15

20

 224

25

30

35 

374 

40 

45

50

524

55

60

38 00

05

074

ID

15

20 

224

25

30

35 

374 

40 

45

50

624

55

' GO

39 00

05

074

10

15

20 224' 

25

30

35 

374 

40 

45

50

524

55

60

Abscissas of developed parallel.

Longitude interval.

].'.

Inches.

4.868

.862

.859

.856

.851

4.846 

.843

.840

.835

4.830 

.827 

.824 

.819

4. 814

.811

.808

.802

4. 802

.797

.791

. 792

.786

4.781

.778

.776

.770

4.764 

.762 

.759 

.754

4.748

.746 

.742

' .737

4.737

.731

.728

.726

.720

 4.714 

.712 

.709

.703

4.698 

.695 

.692 

.686

4. 681

.678 '

.675

.669

2'.

Inches.

9. 735

.724

.718

.713

.702

9. 691 

.686

.680

.670

9.659 

.654 

. 649 

.638

9.627

. .622

.616

.605

9.605

.594

.589

.584 '. 673 '

9. 562 

.556

.551

.540

9. 529 

.524 

.518 

.507

9.496

.490

.485

.474

9.474

.463

.457

.451

.440

9. 429 

.423 

.417

.407

9.395 

.389 

.384 

.373

9. 362

.356

.350

.339

3'.

Inches.

14. 603

.586

.578

.569

.553

1.4. 537 

.529

.521

.605

14. 489 

.481 

.473 

. 457

14. 441

.432

' . 424

.407

14. 407

.391

.383

.375-

.359

14.313 

.335

.326

.310

14. 293 

.285 

.277 

.261

14. 244

.230 

.227

.211

14. 211

.194

.185

.177

 .160

14. 143 

.135 

.126

.119 «

14. 093 

.084 

.076 

.059

14.042

.034

.025

.008

4'.

Inches.

19. 470

.448

.437

.426

.404

19. 382 

.372

.362

.340

19. 318 

.308 

.298 

.276

19. 254

.243

.232

.209

19.209

.188

.178

.167

.146

19. 124 

.113

.102

.080

19.058 

.047 

-.036 

.015

18. £93

.981 

.970 -

. 948

18. 948

.926

.914

.902

.880

18. 858 

.846 

.835 .

' .813

18. 790 

.779 

.768 

.746

18. 723

.712

.700

.678

5'.

Inches.

24.338

.310

.296

.282

. 255

24.228 

.215

.202

.175

24? 148 

.135 

.122 

.095

24. 068

.054

.040

.012

24. 012

23. 985

.972

.959

.932

23. 905 

. 891.

.878

.850

23. 822 

' .809 

.795 

.768

23. 740

.7.26 

.712

.685

23. 685

.657

.642

.628

 .600

23. 572 

.558 

.544

.516

23: 488 

.474 

.460 

.432

23. 404

.390

.375

.347

Ordinates of developed parallel.

Longitude

interval.

,

1

2

3

4

5

Latitude 

interval.

/

1

2 

3 

4

5

Inch.

.000

.002

.005

.007

.010 .

Meridional 

distance.

Inches.

6:068

12. 136 

18. 205 

' 24.273 

30. 341

Longitude

interval.

1

2

3

4

5

Latitude 

interval.

/

1

. 2 

3 

4

.5

Inch.

.000

.002

.005

.007

.010

Meridional distance.

Inches.

6.069

12. 138 

18. 207 . 24. 277 

30. 345

Longitude

interval.

1

. 2

3

4 .

5

Latitude 

interval.

/

1

2 

3 

4 

5

Inch.

.000

.002

.005

.007

.010

Meridional 

distance.

Inches.

6.070

12. 140 

18. 210 

24. 281 

30. 351
90 GEOGEAPHIO TABLES AND FOEMULAS. [BUM, 234. 

TABLE 10. Coordinates for the projection of maps (scale TWISTS) Continued.

Latitude 

of

parallel.

o /

40 00

' 05

07^

10

15

20

25°

30

35 i

40" 

45

50

52*

55 

60

41 00

05071 10°

15

20

25"

30

35 

37A 

40 

45

50

52-

55

.42 00

05

07i

10

15

20 

22*

25

30

3537-

40

45

' 50

52g

55

-^

Abscissas of developed parallel.

Longitvide interval.

1'.

Inches.

4.669

.664

.661

.658

.652

4.647 

.644 

.641

.635

4.630 

.627 

.624 

.618

4.612

.609

.606 

.600

4.600

.595

.592

.589

.583

4.577 

. .574

.571

.566

4.560 

.557 

.554 

.648

4.542

' .539

.536

4.530

.524

.521

.518

 .513

4.507 

.504 

.501

.495

4.489

.486

.483

.477

4.471

.468

.465

.459

2'.

Inches.

9.339

.328

.322

.316

.305

9.293 

.288 

.282

.271

9. 259 

.253 

.248 

.236

9.224

.219

.213 

.201

9.201

.189

.183

.178

. .166

9. 154 

.149

.143

.131

9.119 

.114 

 .108 

.096

9.084

.078

.072

9.060

.049

.043

. .037

 .025

9.013 

.007 

.002

.990

8.978

.972

.966

.954

8. 942

.936

.930

.918

3'.

Inches.

14.008

13.991

.983

.975

.957

13. 940 

.931 

.923

.906

13. 889 

.880 

.871 

.854

13. 837

.828

..819 

.801

13.801

.784

.775

.766

.749

13. 732 

.723

.714

.697

13. 679 

.670 

.661 

.644

13. 626

.617

 ' . 608

13'. 591

.572

,564

.555

.537

13.520 

. 511 

.502

.484

13. 467

.458

.449

.431

13. 413

.404

.395

.377

4'.

Inches.

18. 678

.655

.644

.632

.610

18.586

.575 

.564

. .642

18. 518 

.507 

.495 

.472

18. 449

.438

.426 

.402

18.402

.378

.368

 .355

.332

18. 309 

.298

.286

.262

18. 239 

.227 

.215 

.192

18. 168

.156

.145

18. 122

.098

.086

.073

.050

18. 027 

.014 

.003

17. 979

17. 956

.944

.932

.908

17. 884

.872

.860

.836

5'.

Inches.

23. 347

.319

.305

.291

.262

23. 233 

.219 

.205

.177

23. 148 

.134 

.119 

.090

23. 061

.047-

.032 

.002

23. 002

22. 973

.958

.944

.915

22.886 . 

.872

.857

.828

22. 798 

.784 

.769 

.740

22.710

.695

.681

22.652

.622

.607

.592

.563

22. 533 

.518 

.504

.474

22. 445

.430

.415

.385

22. 355

.340

.325

.295

Ordiimtesof developed parallel.

Longitude

interval.

' ,

1

2

3

4

5

Latitude 

interval.

 /

1

2 

3 

4 

5

Inch.

.000

.002

.005

 .007

.010

Meridional 

distance.

Inches.

6.072

12. 143 

18. 215 

24. 286 

30. 358

Longitude 

interval.

1

2

3

4

. 5

Latitude 

interval.

/

1

2 

3

4 

5

Inch.

.000

.002

.005

' .007

.010

Meridional 

distance.

Inches.

6.072

12. 145 

18. 218 

24. 290 

30. 362

Longitude

interval.

1

2

3

4 x

Latitude 

interval.

/

1

2

3

4

5

Inch.

.000

.002

.005

.007

.010

Meridi-. 

onal 

distance.

Inches.

6.073

12. 148

18. 220

24. 294

30. 367
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 91 

TABLE 10. Coordinates for the projection of maps (scale T^OT^F) Continued.

Latitude 

of 

parallel.

o / 

43 00 

05 

07i 

10 

15

20 

22£ 

25 

30

35 

87* 

40 

45

50 

52J 

55 

GO

44 00 

05 

07J 

10 

15

20 

22* 

25 

30

35 

37* 

40 

45

50 

52i 

55 

CO

45 00 

05 

07i 

10

 15

20 

22* 

25 

30

35 

37* 

40 

45

50 

52* 

55 

GO

Abscissas of developed parallel.

Longitude interval.

1'.

Inches. 

4.459 

.453 

.450 

.447 

.441

4.434 

.431 

. 428 

. 422

4.41G 

.413 

.410 

.404

4.398 

.395 

. 392 

.380

4.38G 

.380 

.376 

.373 

.307

4. 361 

.358 

.355 

.349

4.342 

.339 

.336 

..330

4. 324 

.321 

.318 

.312

4.312 

.305 

.302 

.299 

.293

' 4.287 

.283 

.280 

.274

4.268 

.264 

.261 

.255

4.249 

. .246 

. .242 

.236

2'.

Inches. 

8.918 

.906 

.899 

.894 

.882

8.869 

.863 

.856 

 .844

8.832 

.826 

.820 

.808

8.796 

.789 

.784 

.772

8. 772 

.759 

.753 

.747 

.734

8.722 

.716 

.709 

.097

8. 685 

.678 

.672 

.660

8.648 

.642 

.635 

!623

8.623 

.610 

.604 

.598 

. 586

8.573 

.567 

.560 

.548

8.535 

. 529 

.522 

.510

8.497 

. .491 

.485 : 

.472

3'.

Inches. 

13. 377 

.359 

.349 

.340 

.322

13. 303 

 .294 

'.285 

.266

13. 248 

. .239 

.230 

.212

13. 194 

.184 

.175 

.157

13. 157 

.139 

.129 

.120 

. 102

13. 083 

.074 

.064 

.046

13. 027 

.018 

.009 

12. 990

12. 971 

.963 

.953 

.935

12. 935 

.916 

.906 

.897 

.878

12. 860 

.849 

.841 

.822

12: 803 

.793 

.784 

.765

12. 746 

.737 

.727 

.707

4'.

Inches. 

.17.836 

.812 

.799 

.787 

.762

17. 738 

.726 

.713 

.688

17. 664 

.652 

.640 

.616

17. 592 

.579 

.567 

.543

17. 543 

.518 

.506 

.494 

.469

17.444 

.431 

.419 

.394

17. 370 

.357 

.345 

' .320

17. 295 

.283 

.270 

.246

17. 246 

.221 

.208 

..196 

. 171'

17. 146 

.134 

.121 

.096

17. 070 

.058 

.045 

.020

16. 995 

.982 . 

.970 

.944

5'.

Inches. 

22. 295 

.265 

.249 

.234 

.203

22. 172 

.157 

.141 

.110

22. 080 

.065 

.050 

.020

21. 990 

.974 

.959 

.929

21.929 

.898 

.882 

..867 

.836

21.805 

.789 

.774 

.743

21. 712 

.696 

.681 

.650

21. 619 

.604 

' .588 

.558

21. 558 

.527 

.511 

.495 

.464

21. 433 

.417 

.401 

.370

21.338 

.322 

.306 

.275

21. 243 

.228 

.212 

.180

Ordinates of developed parallel.

Longitude 

interval.

1 

2 

3 

4 

5

Latitude 

interval.

i 

1

2 

3 

4 

5

Inch.

.000 

.002 

.005 

.007 

.010

Meridi-' 

on al 

distance.

Inches. 

6. 075 

12. 149 

18. 223 

24. 298 

30. 372

Longitude 

interval.

/ 

1 

2 

3 

4 

5

Latitude 

interval.

1 

2 3 

4 

5

Inch.

.000 

.002 

.005 

.007 

.010

Meridional 

distance.

Inches. 

6.076 

12. 152 

18. 228 

24. 304 

30. 380

Longitude 

interval.

/

1 

2 

3 

4 

5

Latitude 

interval.

1 

2 

3 

4 

' 5

Inch.

.000 

.002 

.005 

.007 

.010

Meridional 

distance.

Inches. 

6.077 

12.154 

18.231 

24. 308 

30.385
92 GEOGRAPHIC TABLES AND .FOEMULAS. [BOLL.284. 

TABLK 10. ; Coordinate* for the projection of maps (scale T5-^7 ) Continued.

Latitude 

of 

parallel.

o / 

-1C 00 

05 

07J 

10 

15

20 

22£ 

25 

30

35 

37i 

40 

45

50 

52i 

55 

60

47 00 

05 

07 £ 

10 

15

20 

22 i 

25 

30

35 

37£ 

40 

45

50 

52.5 

55 

60

48 00 

05 

07 £ 

- 10 

15

20 

22£ 

25 

30

35 

37* 

40 

45

 50 

52 i 

55 

60

Abscissas-of developed parallel.

Longitude interval.

1'.

Inches. . 

4. 236 

.229 

.226 

.223 

.216

4.210 

.207 

.204 

.198

4.191

.188 

.184 

.178

4. 172 

.168 

.165 

.159

4.159' 

.152 

.149 

.146 

.139

4.133 

.130 

-126 

.120

4.113 

.110 

.106 

.100

4.094 

.090 

.089 

.080

4. 080 

.074 

.071 

.067 

.061

4.054 

.051 

.048 

.041

4.034 

.031 

.028

.021

4.014 

.011 

.008 

.001

 2'. '

Inches. 

8.472 

.459 

.452 

.446 

.433

8.420 

.414 

.408 

.395

8.382 

.370 

.369 

.350

8.343 

.337 

.330 

.318

8.318 

.305 

.299 

.292 

.279

8.266 

.259 

.252 

.239

8. 226 

.220 

.213 

.200

8.187 

.180 

.174 

.161

8.160 

.148 

.142 

.135 

.122

8.108 

.102 

. . 096 

.082

8. 069 

.062 

.055 

.042

8.029 

.022 

.016 

.002

3'.

Inches. 

12. 707 

.688 

.679 

.669 

.649

12. 630 

.621 

.611 

.593

12.573 

.564 

.553 

.534

12. 515 

.505 

.496 

.476

12. 476 

.457 

.448 

.438 

.418

12. 398 

.389 

.378 

.359

12.339 

.329 

.319 

.300 ,

12. 281 

.271 

.261 

.241

12. 241 

.222 

.212 

.202 

.182

12.162 

.153 

.143 

.123

12.103 

.093 

.083 

.063

12.043 

.034 

.024 

.003

4'.

Inches. 

16. 944 

.918 

.905 

.892 

.867

16.840 . 

. 828 

.815 

.790

16. 764 

.752 

.738 

.712

16.687 

.674 

.661 

.635

16. 635 ' 

.610 

.597

.584 

.558

16. 531 

.518 

.505 

.478

16. 452 

.439 

.426 

.400

1C. 375 

.361 

.348 

.322

16.321 

.296 

.284 

.270 

.244

16.217 

.204 

. .190 

.164

16.138 

.124 

.110 

.084

16. 058 

.045 

.031 

.004

5'..

Inches. 

21.179 

.147 

.131 

. .115 

.082-

21. 051 

.035 

.019 

20.988

20.955 

.939 

.922 

.890

20. 858 

.842 

.826 

.794

20. 794 

.762 

.746 

.730 

.697

20. 664 

.648 

:631 

.598

20. 565 

. 549 

.532 

.500

20.468 

.451 

.435 

.402

20. 401 

.370 

.354 

.337 

.304

20. 271 

.255 

.238 

.205

20. 172 

.155 

.138 

.105

20.072 

 .056 

.039 

.006

Ordinates of developed parallel.

Longitude 

interval.

1

2 3' 

4

5

Latitude 

interval.

1 

2 

3 

4 

5

Inch.

.000 

.002 

.005 

.007 

.010

Meridional 

distance.

Inches. 

6.078 

12.157 

18. 235 

24. 313 

30. 391

Longitude 

interval.

1 

2 

3 

4 

5

Latitude 

interval.

1 

2 

3 

4 

5

Inch.

.000 

.002 

.005 

 .007 

.010

Meridional 

distance.

Inches. 

6.078 

12.157 

18. 235 

24. 315 

30. 392

Longitude 

interval.

1 

2 . 3 

4 

5

Latitude 

interval.

1 

2 

3 

4 

5

Inch.

.000 

.002 

.005 

.007 

.010

Meridional 

distance.

Inches. 

6.080 

12.160 

18. 240 

24. 320 

30. 400
ETT.] ' GEOGKAPHIO TABLES AND FORMULAS. 93 

TABLE 10. Coordinates for the projection of maps (scale rsihTff) ~~Continued.

Latitude 

of

parallel.

0 /

49 00

05

07J

10

15

20 

22J 

25

30

35 '

37i

40

45

50

52i

55

60

Abscissas of developed parallel.

Longitude interval.

1'.

Inches.

4.001

3.995

.991

.988

.981

3. 974 

.971 

.968

.961

3. 954

.951

.948

.941

3. 934

.931

.928

.921

2'.

Inches.

8. 002

7.989

.982

,976

.962

. 7. 949 

.942 

.936

. 922

7. 908

.902'

.895

.882

7.869

.862

.855

' .842

3'.

Indies.

12.003

11. 984

.974

.964

.943

11. 923 

.914 

.904

.883

11.863

.853

.843

.823

11.803

.793

.783

. . 762

4'.

Inches.

16. 004

15. 978

.965

.952

.924

15. 898 

.885 

.872

.844

15.817

'.804

.790

* .764

15. 738

.724

.710

.683

5'.

Inches.

20. 006

19.973

.956

.939

.905

19.872 

.856 

.840

.805

19. 771

.755

.738

.705

19.672

.655

.638

.604

Ordinates of developed parallel.

Longitude

interval.

,

1

2

3

4

5

Latitude 

interval.

-

1

2 

3

4

5

Inch.

.000

.002

.005

.007

' .010

Meridional 

distance.

Inches.

6. 081

12. 162

18. 243

24. 324

30. 405
94 GEOC4RAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 11. Areas of quadrilaterals of earth's surface of 30' extent in latitude and

longitude.

. . [From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

0 .00 

0 15 

0 :30 

0 45

1 00 

. 1 15. 

1 '30 

1 ;45

2 00 

2 15

2 30

2 45

3 00 

3 15 

3 30 

3 45 '

4 00 

4 15 

4 30 

4 45

5 00 

5 15 

5 30 

5 45

6 00 

6 15 

6 30 

6 45

7 00 

7 15 

7 30 

7 45

8 00 

8 15 

8 30 

8 45

N 9 00 

9 15 

9 30 

9 45

10 00 

10 15 

10 30 

10 45

Area in 

' square miles.

1, 188. 10 

1, 188. 08 

1, 188. 05 

1, 188. 00

1 , 187. 92 

1,187.82 

1, 187. 70 

1, 187.56

1, 187. 39 

1,187.20 

1, 186. 99 

1, 186. 76

1, 186. 51 

1, 186. 24 

1, 185. 95 

1, 185. 62

1, 185. 28 

1, 184. 92 

1,184.53 

1,184.13 ..

1, 183. 70 

1, 183. 24 

1,182.77 

1,182.28

1, 181. 76 

1,181.22 

1, 180. 66 

1, 180. 08

1, 179. 48 

1, 178. 85 

1, 178. 20 . 

1,177.53.

1, 176. 84 

1, 176. 13 

1, 175. 39 

1, 174. 63

1, 173. 86 

1, 173. 06 

1, 172. 23 

1, 171. 39

1, 170. 52 

1, 169. 63 

. 1, 168. 73 

1, 167. 80

Middle latitude of 

quadrilateral.

o /

 '.' '11 00 

11 15 

11 30 

11 45

12 00 

12 15 

12 30 

12 45

Area in 

square miles.

1, 166. 84 

1,165.86 

1, 164. 86 

1, 163. 85

1, 162. 81 

1, 161. 75 

1, 160. 67 

1, 159. 56

13 00 1 1,158.44 

13 15 1,157.29 

13 30 ! 1,156.12 

13 45 1,154.93

14 00 

14 15 

14 30 

- 14 45

1,153.72 

1, 152. 48 

1, 151. 23 

1, 149. 95

15 00 j 1,148.65 

15 15 1,147.33 

15 30 1 1,145.99 

15 45 ! 1,144.63

16 00 | 1,143.25 

16 15 1,141.84 

16 30 1,140.41 

16 45 | 1,138.96

17 00 

17 15 

17 30 

17 45

18 00 

18 15 

18 30 

18 45

19 .00 

19 15 

19 30 

19 45

20 00 

20 15 

20 30 

20 45

21 00 

21 15 

21 30 

21 45

1, 137. 60 

1, 136. 00 

1, 1G4. 49 

1, 132. 96

1,131.41 

1, 129. 83 

1, 128. 24 

1, 126. 62

1, 124. 98 

1, 123. 32 

1, 121. 64 

1, 119. 93

1,118.21 

1, 116. 47 

1,114.71 

1,112.92

1, 111. 11 

1, 109. 28 

1, 107. 44 

1, 105. 57

Middle latitude of 

quadrilateral.

0 /

22 00 

22 15 

22 30

22 45

23 00 

23 15 

23 30 

23 45

 24 00 

24 15 

24 30 

24 45

25 00 

25 15 

25 30 

25 45

- 26 00 

26 15 

26 30

26 45

27 00 

27 15 

27 30 

27 45

28 00 

28 15 

28 30 

28 45.

29 00 

29 15 

29 30 

29 45

30 00 

30 15 

30 30 

30 45

31 00 

31 15 

31 30 

. 31 45

32 00 

32 15 

32 30 

32 45

Area in 

square miles.

1, 103. 68 

1, 101. 77 

"1,099.84 

1,097.88

1, 095. 91 

1, 093. 92 

1, 091. 90 

1, 089. 87

1, 087. 81 

1, 085. 74 

1, 083. 64 

1, 081. 52

1,079.39

1, 077. 23 

1, 075. 05 

1, 072. 85

1, 070. 64 

1, 068. 40 

1, 066. 14 

1,063.86

1, 061. 56 

1,059.24 

1, 056. 90 

1, 054. 54

1, 052. 16 

1, 049. 76 

1, 047. 34 

1,044.90

1, 042. 44 

1, 039. 97 

1, 037. 47 

1, 034. 95

1, 032. 41 

1, 029. 85 

1, 027. 27 

1, 024. 68

1, 022. 06 

1, 019. 43 

1, 016. 77 

1, 014. 10

1, Oil. 40' 

1, 008. 69 

1, 005. 96 

1, 003. 20
0 ANN KIT.] GEOGJRAPHIC TABLES AND FORMULAS. 95

TABLE 11. Areas of quadrilaterals of earth's surface of SO' extent in latitude and longi'

tude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

33 00 

33 15 

33 30 

33 45

34 00 

34 15 

34 30 

34 45

35 00 

35 15 

35 30 

35 45

36 00 

36 15 

36 30 

36 45

37 00 

37 15 

37 30 

37 45

38 00 

38 15 

38 30 

38 45

39 00 

39 15 

39 30 

39 45

40 00 

40 15 

40 30 

40 45

41 00 

41 15 

41 30 

41 45

42 00 

42 15 . 42 30

42 45

43 00 

43 15 

43 30 

. 43 45

Area in 

square miles.

1,000.43 

997. 64 

994. 83 

992.00

989. 16- 

986. 29 

983. 41 

980. 50

977. 58 

974. 64 

971. 68 

968. 70

965. 70 

962. 68 

959. 65 

956. 60

953. 52 

950. 43 

947. 32 

944.21

941.05 

937. 88 

934.71 

931. 51

928. 29 

925. 06 

921. 80 

918. 53

915. 25 

911. 94 

908. 61 

905. 27

. 901. 91 

898. 54 

895. 14 

891. 73

888. 30 

. 884.85 

881. 39 

877. 91

874. 41 

870. 90 

867. 37 

863. 82

Middle latitude of 

quadrilateral.

0 /

44 00 

44 15 

44 30 

44 45

45 00 

45 15 

45 30 

45 45

46 00 

46 15 

46 .30 

. 46 45

47 00 

47 15 

47 30 

47 45

48 00 

48 15 

48 30 

48 45

49 00 

49 15 

49 30 

49 45

50 00 

50 15 

50 30 

50 45

51 00 

51 15 

51 30 

51 45

52 00 

52 15 

52 30

52 45

53 00 

53 15 

53 30 

53 45

54 00 

54 15 

54 30 

54 45

Area in 

square miles.

860. 25 

856. 67 

853. 07 

849. 46

845. 82 

842. 18 

838. 51 

834. 83

831. 13 

827. 42 

823. 68 

819. 94

816. 18 

812. 40 

808. 60 

804. 79 '

800. 97 

797. 13 

793. 27 

789. 39

785. 50' 

781. 60 

777. 68 

773. 74

769. 79 

765. 83 

761. 85

757. 85

753. 84 

749. 82 

745. 78 

741. 72

737. 65 

733. 57 

729. 47 

725. 36

721. 23 

717. 08 

712. 93 

708. 76

704. 57 

700. 38 

696. 16 

691. 94

Middle latitude of 

quadrilateral.

0 /

55 00 

55 15 

55 30 

55 45

56 00 

56 15 

56 30 

56 '45

57 00 

57 15 

57 30 

57 45

. 58 00 

58 15 

58 30 

58 45

59 00 

59 15 

59 30 

' 59 45

60 00 

60 15 

60 30 

60 45

61 00 

61 15 

61 30 

61 45

62 00 

62 15 

62 30 

62 45

63 00 

63 15 

63 30 

63 45

64 00 

64 15 

64 30 

64 45

65 00 

65 15 

65 30 

65 45

Area i n 

square miles.

687.70 

083. 44 

679. 17 

674. 89

670. 60 

666. 29 

661. 97 

657. 64

653. 29 

648. 93 

644. 55 

640. 17

.635.77 

631.36 

626. 93 

622. 49

618. 05 

613. 59 

609. 11 

604. 62

600. 13 

595. 62 

591.09 

586. 56

582. 01 

577. 45 

572. 88 

568. 30

563. 71 

559. 11 

554. 49 

549. 86

545. 23 

540. 58 

535. 92 

531. 25 .

526. 57 

521. 88 

517. 17 

512.46 .

507. 74 

503. 01 

498. 26 

493. 51
96 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 11. Areas of quadrilaterals of earth's surface of SO' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 /

66 00 

66 15 

66 30 

66 45

67 00 

67 15 

67 30 

67 45

68 00 

68 15 

68 30 

68 45

69 00 

69 15 

69 30 

69 45

70 00 

70 15 

70 30 

"70 45

71 00 

71 15 

71 30

71 45

72 00

72 15 

72 30 

72 45

73 00 

73 15 

73 30 

73 45

Area in square 

miles.

488. 75 

483. 97 

479. 19 

474. 40

469. 60 

464. 78 

459. 96 

455. 13

450. 29 

445. 45 

440. 59 

435. 72

430. 84 

425. 96 

421. 06 

416. 16

411. 25 

406. 34 

401. 41 

396. 47

391. 53 

386. 58 

381. 62 

376.65

371. 68 

366. 70 

361. 71 

356. 71

351. 71 

346. 69 

341. 68 

336. 65

Middle latitude 

of quadrilateral.

0 /

74 00 

74 15 

74 30 

74 45

75 00 

75 15 

75 30 

75 45

76 00 

76 15 

76 30 

76 45

77 00 

77 15 

77 30 

77 45.

78 00 

78 15 

78 30 

78 45-

79 00 

79 15 

79 30 

79 45

80 00

80 15 

80 30 

80 45

81 00 

81 15 

81 30 

81 45

Area in square 

miles.

331. 62 

326. 58 

321. 53 

316. 48

311. 42 

306. 36 

301. 28 

296.21

291. 12 

286. 04 

280. 94 

275. 84

270. 73 

265. 62 

260. 50 

. 255. 38

250. 25 

245. 12 

239. 98 

234. 83

229. 68 

224. 53 

219. 37 

214. 21 

209: 05 

203.88 

198. 70 

193. 52

188.34 

183. 15 

177. 96 

172. 77

Middle latitude 

of quadrilateral.

0 /

82 00 

82 15 

82 30 

82 45

83 00 

83 15 

83 30 

83 45

84 00 

84 15 

84 30 

84 45

85 00 

85 15 

85 30 

85 45

86 00 

86 15 

86 30 

86 45

87 00 

87 15 

87 30 

87 45

88 00 

88 15 

88 30 

88 45

89 00 

89 15 

89 30 

89 45

Area in square 

miles.

167. 57 

162. 37 

157. 16 

151. 95

146. 74 

141. 53 

136. 31 

131. 09

125. 87 

120. 64 ' 

115. 42 

110. 18

104. 95 

99.72 

94.48 

89.25

84.01 

. 78. 76 

73.52 ' 

68.27

63.03

57.78 

52.53 

47.28

42.03 

36.78 

31.53 

26.27

21.02 

15.76 

10.51 

5.26
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 97

TAHLK 12. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude.

[Prom Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

0 07 30 

0 15 00 

0 22 30 

0 30 00

0 37 30 

0 45 00 

0 52 30 

1 00 00

1 07 30 

1 15 00 

1 22 30 

J. .30 00

1 37 30 

1 45 00 

1 52 30 

2 00 00

2 07 30 

2 15 00 

2 22 30 

2 30 00

2 37 30 

2 45 00 

2 52 30 

3 .00 00

3 07 30 

3 15 00 

3 22 30 

3 30 00

3 37 30 

3 45 00 

3 52 30 

4 00 00

4 07 30 

4 15 00 

4 22 30 

4 30 00

4 37 30 

4 45 00 

4 52 30 

5 00 00

5 07 30 

' 5 15 00 

5 22 30 

5 30 00

Area in 

square miles.

297. 02 

297. 02 

297. 02 

297. 01

297. 01 

297. 00 

296. 99 

296. 98

296. 97 

296. 96 

296. 94 

296. 93

296. 91 

296. 89 

296. 87 

296. 85

296. 82 

296. 80 

296. 77 

296. 75

296. 72 

296. 69 

296. 66 

296. 63

296. 60 

296. 56 

296. 53 

296. 49

296. 45 

296. 41 

296. 36 

296. 32

296. 28 

296. 23 

296.18 

296. 13

296. 08 

296. 03 

295. 98 

295. 93

295. 87 

295. 81 

295. 75 

295. 69

Middle latitude 

of quadrilateral.

0 / //

5 37 30 

5 45 00 

5 52 30 

6 00 00

6 07 30 

6 15 00 

6 22 30 

6 30 00

6 37 30 

6 45 00 

6 52 30 

7 00 00

7 07 30 

7 15 00 

7 22 30 

7 30 00

7 37 30 

7 45 00 

7 52 30 

8 00 00

8 07 30 

8 15 00 

8 22 30 

8-30 00

8 37 30 

8 ' 45 00 

8 52 30 

9 00 00

9 07 30 

9 15 00 

9 22 30 

9 30 00

9 37 30 

9 45 00 

9 52 30 

10 00 00

10 07 30 

10 15 00 

10 22 30 

10 30 00

10 37 30 

10 45 00 

10 52 30 

11 00 00

Area in 

square miles.

295. 63 

295. 57 

295. 51 

295. 44

295. 37 

295. 31 

295. 24 

295. 17

295. 09 

295. 02 

294. 95 

294. 87

294. 79 

294. 71 

294. 63 

294. 55

294. 47 

294. 39 

294. 30 

294. 21

294. 12 

294. 03 

293. 94 

293. 85

293. 75 

. 293.66 

293. 56 

293. 47

293. 37 

293. 27 

293. 16 

293. 06

292. 95 

292. 85 

292. 74 

292. 63

292. 52 

292. 41 

292. 30 

292. 19

292. 07 

291. 95 

291. 83 

291. 71

Middle latitude 

of quadrilateral.

0 / //

11 07 30 

11 15 00 

11 22 30 

11 30 00

11 37 30 

. 11 45 00 

. 11 52 30 

12 00 00

12 07 30 

12 15 00 

12 22 30 

12 30 00

12 37 30 

12 45 00 

12 52 30 

13 00 00

13 07 30 

13 1.5 00 

13 22 30 

13 30 00

13 37 30 

13 45 00 

13 52 30 

14 . 00 00

14 07 30 

14 15 00 

14 22 30 

14 30 00

14 37 30 

14 45 00 

14 52 30 

15 00 00

15 07 30 

15 15 00 

15 22 30 

15 30 00

15 37 30 

15 45 00 

15 52 30 

16 00 00

16 07 30 

16 15 00 

16 22 30 

16 30 00

Area in 

square miles.

291. 59 

291. 47 

291. 34 

291. 22

291.09 

290. 96 

290. 83 

29"0. 70

290. 57 

290. 44 

290.30 

290. 17

290. 03 

289. 89 

289. 75 

289. 61

289. 47 

289. 33 

289. 18 

289. 03

288. 88 

288. 73 

288. 58 

288. 43

288. 28 

288. 12 

287. 96 

287. 81

287. 65 

287. 49 

287. 33 

287. 17

287. 00 

286. 83 

286. 67 

286. 50

286. 33 

286. 16 

285. 99 

285. 82

285. 64 

285. 46 

285. 28 

285. 10

Bull. 234 04-
98 GEOC4RAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 12. Areas of quadrilaterals of earth's surface of 15' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

o / //

16 37 30 

16 45 00 

16 52 30 

17 00 00

17 07 30 

17 15 00 

17 22 30 

17 '30 00

17 37 30 

17 45 00 

17 52 30 

18 00 00

18 07 30 

18 15 00 

18 22 30 

18 30 00

18 37 30 

18 45 00 

18 52 30 

19 00 00

19 . 07 30 

19 15 00 

19 22 30" 

19 30 00

19 37 30 

19 45 00 

19 52 30 

20 00 00

20 07 30 

20 15 00 

20 22 30 

20 30 00

20 37 30 

20 45 00 

20 52 30 

21 00 00

21 07 30 

21 15 00 

21 22 30 

21 30 00

21 37 30 

21 45 00 

21 52 30 

22 00 00

Area in 

square miles.

284. 92 

284. 74 

284. 56 

284. 38

284.19 

284.00 

283.81 

283.62

283. 43 

283. 24 

283. 05 

282. 86

282. 66 

282. 46 

282. 26 

282. 06

281. 86 

281. 66 

281. 45 

281. 25

281. 04 

280. 83 

280. 62 

280. 41

280. 20 

279.99 

279. 77 

279. 55

279. 34 

279. 12 

278. 90 

'278. 68

278. 46 

278. 23 

278. 00 

277. 78

277. 55 

277. 32 

277. 09 

276. 86

276. 63 

276. 39 

276. 16 

275. 92

Middle latitude 

of quadrilateral.

o / //

22 07 30 

22 15 00 

22 22 30 

22 30 00

22 37 30 

22 45 00 

22 52 30 

23 00 00

23 07 30 

23 15 00 

23 22 30 

23 30 00

23 37 30 

23 45 00 

23' 52 30 

24 00 00

24 07 30 

24 15 00 

24 22 30 

24 30 00

24 37 30 

24 45 00 

24 52 30 

25 00 00

25 07 30 

25 15 00 

25 22 30 

25 30 00

25 37 30 

25 45 00 

25 52 30 

26 00 00

26 07 30 

26 15 00 

26 22 30 

26 30 00

26 37 30 

26 45 00 

26 52 30 

27 00 00

27 07 30 

27 15 00 

27 22 30 

27 30 00

Area in 

square miles.

275.68 

275. 44 

275. 20. 

274. 96

274. 72 

274. 47 

274. 22 

273. 98

273.73 

273. 48 

273. 23 

272.- 98

272.72 

272.47 

272.21 

271. 95

371.69 

271. 44 

271. 17 

.270. 91

270.65 

270. 38 

270. 11 

269. 85

269. 58 

269.31 

269. 04 

268. 76

268. 49 

268. 21 

267. 94 

267. 66

267. 38 

267. 10 

266. 82 

266. 54

266. 25 

265. 97 

265. 68 

265. 39

. 265. 10 

264. 81 

264. 52 

264. 23

Middle latitude 

of quadrilateral.

0 / //

27 37 30 

27 45 00 

27 52 30 

28 00 00

28 07 30 

28 15 00 

28" 22 30 

28 30 00

28 37 30 

28 45 00 

28' 52 30 

29 00 00

29 07 30 

29 15 00 

29 22 30 

29 30 00

29 37 30 

29 45 00 

29 52 30 

30 00 00

30 07 30 

30 15 00 

30 22 30 

30 30 00

30 37 30 

30 45 00 

30 52 30 

31 00 00

31 07 30 

31 15 00 

31 22 30 

31 30 00

31 37 30 

31 45 00 

31 52 30 

32 00 00

32 07 30 

32 15 00 

32 22 30 

32 30 00

32 37 30 

32 45 00 

32 52 30 

33 00 00

Area in 

square miles.

263. 93 

263. 64 

263. 34 

263. 04

262. 74 

262. 44 

262. 14 

261.84

261. 53 

261. 23 

260. 92 

260.61

.260.30 

259. 99 

259. 68 

259. 37

259. 05

258. 74 

258. 42 

258. 10

257. 78 

257. 46 

357. 14 

256.82

256. 49 

256. 17 

255. 84 

255. 52

255. 19 

254. 86 

254. 53 

254. 19

253.86 

253. 53 

253. 19 

252. 85

252: 51 

252. 17 

251. 83 

251. 49

251. 15 

250. 80 

250. 45 

250. 11 .
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 99

TABLE 12. Areas of quadrilaterals of earth's surface of 15' .extent in latitude and longitude Continued.

[Prom Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

33 07 30 

33 15 00 

33 22 30 

33 30 00

33 37 30 

33 45 00 

33 52 30 

34 00 .00

34 07 30 

34 15 00 

34 22 30 - 

34 30 00

34 37 30 

34 45 00 

34 52 30 

35 00 00

35 07 30 

35 15 00 

35 22 30 

35 30 00

35 37 30 

35 45 00 

35 52 30 

36 00 00

36 07 30 

36 15 00 

36 22 30 

.'36 30 00

36 37 30 

36 45 00 

36 52 30 

37 00 00

37 07 30 

37 15 00 

37 22 30 

37 30 00

37 37 30 

37 45 00 

37 52 30 

38 00 00

38 07 30 

38 15 00 

38 22 30 

38 30 00

Area in 

square miles.

249. 76 

249. 41 

249. 06 

248. 71

248. 36 

248. 00 

247. 65 

247. 29

246. 93 

246. 57 

246. 21 

245. 85

245. 49 

245. 13 

244. 76 

244. 40

244.03 

243. 66 

243. 29 

242. 92

242.55 

242. 18 

241. 80 

241. 43

241. 05 

240. 67 

240. 29 

239. 91

239. 53 

239. 15 

238. 77 

238. 38

237.99 

237. 61 

237.22 

236. 83

236. 44 

236. 05 

235. 66 

235. 26

234. 87 

234. 47 

234,07 

233. 68

Middle latitude 

of quadrilateral.

0 / //

38 37 30 

38 45 00 

38 52 30 

39 00 00

39 07 30 

39 15 00 

39 22 30 

39 30 00

39 37 30 

39 45 00 

39 52 30 

40 00 00

40 07 " 30 

40 15 00 

40 22 -30 

40 30 00

40 37 30 

40 45 00 

40 52 30 

41 00 00

41 07 30 

41 15 00 

41 22 30 

41 30 00

41 37 30 

41 45 00 

41 52 30 

42 00 00

42 07 30 

42 15 00 

42 22 30 

42 30 00

42 37 30 

'42 45 00 

42 "52 "30 

43 00 00

43 07 30 

43 15 00 

43 22 '30 

43 30 00

43 37 30 

43 45 00 

43 52 30 

44 00 00

Area in 

square miles.

233. 28 

232. 88 

232. 48 

232. 07

231. 67 

231. 27 

230. 86 

230. 45

230. 04 

229. 63 

229. 22

228. 81

228. 40 

227. 99 

227. 57 

227.15

226. 73 

226. 32 

225. 90 

225. 48

225. 06 

224. 64 

224. 21 

223. 79

223. 36 

222. 93 

222. 50 

222. 08

221.65 

221. 21 

220. 78 

220. 35

219. 91 

219. 48 

219. 04 

SH-8.-60

218. 16 

217. 73" 

217. 28 

216. 84

-216. 40 

215. 96 

215. 51 

215. 06

Middle latitude 

of quadrilateral.

0 / //

44 07 30 

44 15 00 

44 22 30 

44 30 00

44 37 30 

44 45 00 

44 52 30 

45 00 00

45 07 30 

45 15 00 

45 22 30 

45 30 00

45: 37 30 

45 45 00 

45 52 30 

46 00 00

46 07 .30 

46 15 00 

46 22 30 

46 30 00

46 37 30 

46 45 00 

46 52 30 

47 00 00

47 07 30 

47 15 00 

47 22 30 

47 30 00

47 37 30 

47 45 00 

47 52 30 

48 00 00

48 07 30 

48 15 00 

48 22 30 

48 30 00

48 37 30 

48 45 00 

48 52 30 

49 00 00

49 07 30 

49 15 00 

49 22 30 

49 30 00

Area in 

squaremiles.

214. 61 

214. 17 

213.72 

213. 27

212. 82 

212. 37 

211. 91 

211. 46

211. 00 

210. 55 

210. 09 

209. 63

209. 17 

208. 71 

208. 25 

207. 78

207. 32 

206. 86 

. 206.39 

205. 92

205. 45 

204. 99 

204. 52 

204. 05

203.57 

203. 10 

202. 63 

202. 15

201. 67 

201. 20 

200. 72 

200. 24

199. 76 

199. 28 

198. 80 

198. 32

197. 83 

197. 35 

196. 86 

196. 38 -

195. 89 

195. 40 

194. 91 

194. 42
100 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 12. Areas of quadrilaterals of earth's surface of 15' extent in latitude and longi-

 tude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

49 37 30 

49 45 00 

49 52 30 

50 00 00

50 07 30 

50 15 00 

50 22 30 

50 30 00

50 37 30 

50 45 00 

50 52 30 

51 00 00

51 07 30 

51 15 00 

51 22 30 

.51 30 00

51 37 30 

51 45 00 

51 52- 30 

52 00 00

52 07 30 

52 15 00 

52 22 30 

52 30 00

52 37 30 

52 45 00 

52 52 30 

53 00 00

53 07 30 

53 15 00 

53 22 30 

53 30 00

53 37 30 

53 45 00 

53 52 30 

54 00 00

54 07 30 

54 15 00 

54 22 30 

54 30 00

54 37 30 

54 45 00 

54 52 30 

55 00 00

Area in 

square miles.

193. 93 

193. 44 

192. 94 

192. 45

191. 95 

191. 46 

190. 96 

190. 46

189. 96 

189. 46 

188. 96 

188. 46

187.96 

187. 46 

186. 95 

186. 45

185. 94 

185: 43 

184. 92 

184. 41

183. 90 

183. 39 

182. 88 

182. 37

181. 85 

181.34 

180. 82 

180. 31

179. 79 

179. 27 

178. 75 

178: 23

177. 71 

177. 19 

176: 67 

176. 14

175. 62. 

175. 10 

174. 57 

174. 04

173. 51 

172. 99 

172.46 

171.93

Middle latitude . of quadrilateral.

0 / //

55 07 30 

55 15 00 

55 22 30 

55 30 00

55 37 30 

55 45 00 

55 52 30 

56 00 00

56 07 30 

56 15 00 

56 22 30 

56 30 00

56 37 30 

56 45 00 

56 52 30

57 00 00

57 07 30 

57 15 00 

57 22 30 

 57 30 00

57 37 30 

57 45 00 

57 52 30 

58 00 00

58 07 30 

58 15 00 

58 22 30 

58 30 00

58 37 30 

58 45 00 

58 52 30 

59 00 00

59 07 30 

59 15 00 

59 22 30 

59 30 00

59 37 30 

59 45 00 

59 52 30 

60 00 00

60 07 30 

60 15 00 

60 22 30 

60 30 00

Area in 

square miles.

171. 39 

170. 86 

170. 33 

169. 79

169. 26 

168. 72 

168. 19 

167. 65

167. 11 

166. 57 

166. 03 

165. 49

164. 95 

164. 41 

163. 87 

163. 32

162. 78 

162. 23 

161.68 

161. 14

160. 59 

160. 04 

159. 49 

158. 94

158.39 

157. 84 

157. 29 

156. 73

156. 18 

155. 62 

155. 07 

154. 51

153. 96 

153. 40 

152. 84 

152. 28

151. 72 

151. 16

150; 60

150. 03 .

149. 47 

148. 91 

148. 34 

147. 77

Middle latitude 

of quadrilateral.

Of//

60 37 30 

60 45 00 

60 52 30 

61 00 00

61 07 30 

61 15 00 

61 22 30 

61 30 00 

61 37 30 

61 45 00 

61 52 30 

62 00 00

62 07 30 

62 15 00 

62 22 30 

62 30 00

62 37 30 

62 45 00 

62 52 30 

63 00 00

63 07 30 

63 15 00 

63 22 30 

63 30 00

63 37 30 

63 45 00 

63 52 30 

64 00 00

64 07 30 

64 15 00 

64 22 30 

64 30 00

64 37 30 

64 45 00 

64 52 30 

65 00 00

65 07 30 

65 15 00 

65 22 30 

65- 30 00

65 37 30 

65 45 00 

65 52 30 

66 00 00

Area in 

square miles.

147.21" 

146. 64 

146. 07 

145. 50

144. 93 

144. 36 

143. 79 

143. 22

142. 65 

142. 08 

141. 50 

140. 93

140. 35 

139. 78 

139. 20 

138. 62

138. 04 

137. 47 

136. 89 

136. 31

135. 73 

135. 15 

134. 56 

133. 98

133. 40 

132. 81 

132. 23 

131.64

131. 06 

130. 47 

129. 88 

129. 29

128. 70 

128. 12 

127. 53 

126. 94

126. 34 

125. 75 

125. 16 

124. 57

123. 97 

123. 38 

122. 78 

122. 19
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 101

TABLE 12. Areas of quadrilaterals of earth's surface of 15' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

66 07 30 

66 15 00 

66 22 30 

66 30 00

66 37 30 

66 45 00 

66 52 30 

67 00 00

67 07 30 

67 15 00 

67 22 30 

67 30 00

67 37 30 

67 45 00 . 

67 52 30 

68 00 00

68 07 30 

68 15 00 

68 22 30 

68 30 00

68 37 30 

68 45 00 

68 52 30 

69 00 00

69 07 30 

69 15 00 

69 22 30 

69 30 00

69 37 30 

69 45 00 

69 52 30 

70 00 00

70 07 30 

70 15 00 

70 22 30 

70 30 00

70 37 30 

70 45 00 

70 52 30 

71 00 00

71 07 30 

71 15 00 

71 22 30 

71 30 00

Area in 

square miles.

121.59 

120. 99 

120. 40 

119. 80

119. 20 

118. 60 

118.00 ' 

117.40

116. 80 

116. 20 

115. 59 

114. 99

114. 39 

113.78 

113. 18 

112. 57

111. 97 

111. 36 

110. 76 

110. 15

109. 54 

108. 93 

108. 32 

107. 71

107. 10 

106. 49 

105. 88 

105. 27

104. 65 

104. 04 

103. 43 

102. 81

102. 20 

101. 59 

100. 97 

100. 35

99.74 

99.12 

98.50 

97.88

97.26 

96.65 

96.03 

95.41

Middle latitude 

of quadrilateral.

0 / //

71 37 30 

71 45 00 

71 52 30 

72 00 00

72 07 30 

72 15 00 

72 22 30 

72 30 00

72 37 30 

72 45 00 

72 52 30 

73 00 00

73 07 30 

73 15 00 

73 22 30 

73 30 00

73 37 30 

73 45 00 

73 52 30 

74 00 00

74 07 30 

74 15 00 

74 22 30 

74 30 00

74 37 30 

74 45 00 

74 52 30 

75 00 00

75 07 30 

75 15 00 

75 22 30 

75 30 00

75 37 30 

75 45 00 

75 52 30 

76 00 00

76 07 30 

76 15 00 

76 22 30 

76 30 00

76 37 30 

76 45 00 

76 52 30 

77 00 00

Area in 

square miles.

94.78 

94.16 

93.54 

92.92

92.30 

91.68 

91.05 

90.43

89.80 

89.18 

88. 55 

87.93

87.30 

86.67 

86.05 

85.42

84.79 

84.16 

83.53 

82.91

82.28 

81.65 

81. 01 

80.38

79.75 

79.12 

78.49 

77.86

77.22 

76.59 

75.95 

75.32

74.69 

74.05 

73. 42 

72.78

72.14 

71.51 

70.87 

70.24

69.60 

68.96 

68.32 

67.68

Middle latitude 

of quadrilateral.

0 / //

77 07 30 

77 15 00 

77 22 30 

77 30 00

77 37 30 

77 45 00 

 77 52 30 

78 00 00

78 07 30 

78 15 00 

78 22 30 

78 30 00

78 "37 30 

78 45 00 

78 52 30 

79 00 00

79 07 30 

79 15 00 

79 22 30 

79 30 00

79 37 30 

79 45 00 

79 52 30 

80 00 00 

80 07 30 

80 15 00 

80 22 30 

80 30 00

80 37 30 

80 45 00 

80 52 30 

81 00. 00

81 07' 30 

81 15 00 

81 22 30 

81 30 00

81 37 30 

81 45 00 

81 52 30 

82 00 00

82 07 30 

82 15 00 

82 22 30 

82 30 00

Area in 

square miles.

67.04 

66. 41 

65.77 

65.13

64.49 

63.85 

63.20 

62.56

61. 92 

61.28 

60.64 

60.00

59.35 

58. 71 

58.06 

57.42

56.78 

56.13 

55.49 

54.84

54.20 

53. 55 

52. 91 

52.26

51.62 

50.97 

50.32 

49.68

49. 03 

48.38 

47.73 

47.08

46.44 

45.79 

45. 14 

44.49

43.84 

43.19 

42.54 

41.89

41.24 

40.59 

39.94 

39.29
GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 12. Areas of quadrilaterals of earth's surface of 15' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

82 37 30 

' 82 45 00 

82 52 30 

83 00 00

83 07 30 ' 

83 15 00 

.83 22 30 

83 30 00

83 37 30 

83 45 00 

83 52 30 

84 00 00

84 07 30 

84 15 00 

84 22 30 

84 30 00

84 37 30 

84 45 00 

84 52 30 

85 00 00

Area in 

square miles.

38.64 

37.99 

37. 34 

36.69

36. 03 

35.38 34.73' 

34,08

33.42 

32.77 

32.12

31. 47

30.81 

30.16 

29.51 

28.86

28.20 

27.54 

26. 89 

26.24

Middle latitude 

of quadrilateral.

0 / //

85 07 30 

85 15 00 

85 22 30 

85 30 00

85 37 30 

85 45 !00 

85 52 30 

-86 00 00

86 07 -30 

36 15 '00 

86 22 30 

86 30 00

86 37 30 

86 45 00 

86 52 30 

87 00 00

87 07 30 

87 15 00 

87 22 30 

87 30 00

Area in 

square miles.

25.58 

24.93 

24.27 

23.62

22. 97 

22. 31 

21.66 

21.00

20. 35 

19.69 

19.04 

18.38

17.72 

17.07 

16.41 

15.76

15.10 

14.44 

13.79 

13.13

Middle latitude 

of quadrilateral.

0 / //

87 37 30 

87 45 00 

87 52 30 

88 00 00

88 07 30 

88 15 00 

88 22 30 ' 

'88 30 00

88 37 30 

88 45 00 

 88 52 30 

89 00 00

89 07 30 

89 15 00 

89 22 30 

89 30 00

89 37 30 

89 45 00 

89 52 30

Area in 

square miles.

12.48 

11.82 

 11.16 

10.51

9.85 

9.20 

8.54 

7.88

7. 22 

6.57 

5.91 

5.26

4.60 

3.94 

3.28 

2.63

1.97 

1.31 

0.66
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 103

TABLK 13. Areas of guadrilaterals of earth's surface of 10' extent in latitude and

longitude.

[From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

o /

0 05 

0 15 

0 25 

0 35

0 45 ' 

0 55 

1 05 

1 15

1 25 

1 35 

1 45 

1 55

2 05 

2 15 

2 25 

2 35

2 45 

2 55 

3 05 

3 15

3 25 

3 35 

3 45

3 55

4 05 

4 15 

4 25 

 4 35

4 45 

4 55 

5 05 

5 15

5 25 

5 35 

5 45 

5 55

6 05 

6 15 

6 25 

6 35

6' 45 

6 55

7 05 

 7 15

Area in square 

miles.

132.01 

132. 01 

132. 01 

132. 00

132. 00 

131. 99 

131. 99 

 131. 98

131.97 

131. 96 

131. 95 

131. 94

131. 93 

131. 91 

131. 90 

131. 88

131. 86 

131. 84 

131. 82 

131. 80

131. 78 

131. 76 

131.74 

131.71

131. 68 

131. 66 

131.63 

131.60

131.57 

131.54 

131. 50 

131.47

131.44 

131. 40 

131. 36 

131. 33

131. 29 

131. 25 

131.21 

131.16

131. 12 

131. 07 

131. 03 

130. 98

Middle latitude of 

quadrilateral.

0 /

7 25 

7 35 

7 45. 

 7 55

8 05 

8 15 

8 25 

8 35

8 45 

8 55 

9 05 

9 15

9 25 

9 35 

9 45 

9 55

10 05 

10 15 

10 25 

10 35

10 45 

10 55 

11 05 

11 15

11 25 

11 35 

11 45 

11 55

12 05 

12 15 

12 25 

12 35

12 45 

12 55 

13 05 

13 15

13 25 

13 35 

13 45 

13 55

14 05 

14 15 

14 25 

14 35

Area in square 

miles.

130. 93 

130. 88 

130. 84 

130. 79

130.73 

130. 68 

130. 63 

130:57

130.' 51 

130. 46 

130. 40 

130/34

130. 28 

130. 22 

130. 15 

130.09

130. 02 

129. 96 

. 129. 89 

129. 82

129. 76 

129. 68 

129. 61 - 

129. 54

129.47 

129. 39 

129. 32 

129. 24

129.16 

129. 08 

129. 00 

128. 92

128.84 

128. 76 

128,67 

128:59

128. 50 

128. 41 

128. 33 

128:24 .

128.14 

128. 05 

127. 96 

127.87

Middle latitude of 

quadrilateral.

0 /

14 45 

14 55 

15 05 

15 15

15 25 

15 35 

15 45 

15 55

16 05 

16 15 

16 25 

16 35

16 45 

16 55 

17 05 

17 15

17 25 

17 35 

17 45 

17 55

18 05 

18 15 

18 25 

18 35

18 45 

18 55 

19 05 

19 15

19 25 

19 35 

19 45 

19 55

20 05 

20 15 

20 25 

20 35

20 45' 

20 55 

21 05 

21 -15

21 25 

21 .35 

21 45 

21 55

Area in square 

miles.

127. 77 

127. 67

 127.58 

127. 48

127. 38 

127. 28 

127. 18 

127. 08

126. 98 

126.87 

126. 77 ' 

126. 66

126. 55 

126. 44 

126.33 

126. 22

126. 11 

126. 00 

125. 88 

125. 77

125. 65 

. 125. 54 

125. 42 

125.30

125. IS 

125. 06 

124. 94 

. 124:81

124. 69 

124. 56 

124.44 

124. 31

124. 18 

124. 05 

123.92 

123. 79

123..66 

123.52 

123.39 

123.25

123.12 

122. 98 

122.84 

122.70
104 GEOGRAPHIC TABLES AND FORMULAS. [BJJLL.234.

TABLE 13. Areas of quadrilaterals of earth's surface of 10' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

22 05 

22 15 

22 25 

22 35

22 45 

22 55 

23 05 

23 15

23 25 

23 35 

23 45 

23 55

24 05 

24 15 

24 25 

24 35

24 45 

24 55 

25 05 

25 15

25 25 

25 35 

25 45 

25 55

26 05 

26 15 

26 25 

26 35

26 45 

26 55 

27 05 

27 15

27 25 

27 35 

27 45 

27 55

28 05 

28 15 

28 25 

28 35

28 45

28 55 

29 05 

29 15

Area in square 

miles.

122. 56 

122. 42 

122. 28 

122. 13

121. 99 

121. 84 

121. 69 

121. 55

121. 40 

121. 25 

121. 10 

120. 94

120. 79 

120. 64 

120. 48 

120. 33

120. 17 

120. 01 

119. 85 

119. 69

ll&. 53 

119. 37 

119. 21 

119. 04

118. 87 

118.71 

118. 54 

118. 37

118. 21 

118. 04 

117.87 

117. 69

117.52 

117. 35 

117.17 

116. 99

. 116.82 

116. 64 

116. 46 

116.28

116. 10 

115.92 

115. 73 

115. 55

Middle latitude of 

quadrilateral.

o /

29 25 

29 35 

29 45 

29 55

30 05 

.30 15 

30 25 

30 35

30 45 

30 55 

31 05 

31 15

31 25 

31 35 

31 45 

31 55

32 05 

32 15 

32 25 

32 35

32 45 

32 '55 

33 05 

33 15

33 25 

33 35 

33 45 

33 55

34 05 

34 15 

34 25 

34 35

34 .45 

34 55 

35 05 

35 .15

35 25 

35 35 

35 45 

35 55

36 05 

36 15 

36 25 

36 35

Area in square 

miles.

115. 37 

115. 18 

114.99 

114.81

114. 62 

114. 43 

114. 24 

114. 04

113. 85 

113. 66 

113. 47 

113. 27

113. 07 

112. 88 

112. 68 

112.48

112. 28 

112.08 

111.87 

111.67

111.47 

111.26 

111.06 

110. 85

110.64 

110.43 

110. 22 

110. 01

109. 80 

109. 59 

109. 37 

109. 16

108. 94 

108. 73 

108. 51 

108.29

108. 07 

107. 85 

107. 63 

107. 41

107.19 

106. 96 

106. 74 

106. 51

Middle latitude of 

quadrilateral.

0 /

36 45 

36 55 

37 05 

37 15

37 25 

37 35 

37 45 

37 55

38 05 

38 15 

38 25 

38 35

38 45 

38 55 

39 05 

39 15

39 25 

39 35 

39 45 

39 55

40 05 

40 15 

40 25 

40 35

40 45 

40 55 

41 05 

41 15

41 25 

41 35 

41 45 

41 55

42 05 

42 15 

42 25 

42 35

42 45 

42 55 

43 05 

43 15

43 25 

43 35 

43 45 

43 '55

Area in square 

miles.

106. 29 

106. 06 

105. 83 

105. 60

105.37 

105. 14 

104. 91 

104. 68

104.44 

104. 21 

103. 97 

103. 74

103. 50 

103. 26 

103. 02 

102. 78

102. 54 

102. 30 

102. 06 

101. 82

101. 57 

101.33. 

101, 08 

100. 83

100. 59 

100. 34 

100. 09 

99.84

99.59 

99.33 

99.08 

98.83

98.57 

98.32 

98. 06 

97. 80

97.55 

97.29 

97. 03 

96.77

96.50 

96.24 

95.98

95.71
GANNfeTT.] GEOGRAPHIC TABLES AND FORMULAS. 105

TABLE 13. Areas of quadrilaterals of earth's surface of JO' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

44 05

44 15

44 25

44 35

44 45

44 55

45 05

45 15

45 25

45 35

45 45

45 55

46 05

46 15

46 25

46 35

46 45

46 55

47 05

47 15

47 25

47 35

47 45

47 55

48 05

48 15

48 25

48 35

48 45

48 55

49 05

49 15

49 25

49 35

49 45

49 55

50 05

50 15

50 25

50 35

Area in square 

miles.

95.45

95.19

94.92

94.65

94. 38

94. 11

93. 84

93. 58

93.30

93.03

92.76

92.48

92. 21

91.94

91.66

91. 38

91. 10

90.82

90.55

90.27

89.99

89.70

89.42

89.14

88.85

88.57

88.28

88.00

87.71

87.42

87.13

86.84

86. 55

86.26

85.97

85.68

85.39

85.09

84.80

84.50

Middle latitude of 

quadrilateral.

0 /

50 45

50 55

51 05

51 15

51 25

51 35

51 45

51 55

52 05

52 15

52 25

52 35

52 45

52 55

53 05

53 15

53 25

53 35

53 45

53 55

54 05

54 15

54 25

54 35

54 45

54 55

55 05

55 15

55 25

55 35

55 45

55 55

56 05

56 15

56 25

56 35

56 45

56 55

57 05

57 15

Area in square 

miles.

84.21

83. 91

83. 61

83.31

83.01

82.71

82.41

82.11

81. 81

81.51

81.20

. 80.90

80.60

80.29

79.98

79.68

79.37

79.06

78.75

78.44

'78.13

77.82

77.51

77.19

76.88

76.57

76.25

75.94

75.62

75.30

74.99

74.67

74. 35

74.03

73.71

73.39

73.07

72.75

72. 43

72.10

Middle latitude of 

quadrilateral.

0 /

57 25

57 35

57 45

57 55

58 05

58 15

58 25

58 35

58 45

58 55

59 05

59 15

59 25

59 35

59 45

59 55

60 05

60 15

60 25

60 35

60" 45

60 55

61 05

61 15

61 25

61 35

61 45

61 55

62 05

62 15

62 25

62 35

62 45

62 55

.63 05

63 15

63 25

63 35

63 45

63 55

Area in square 

miles.

71. 78

71.46

71. 13

70.80

70.48

70. 15

69.82

69.49

69.17

68.84

68.51

68.18

67.84

67.51

67.18

66.85

66. 51

66.18

65.84

65. 51

65.17

64.84

64.50

64. 16

63. 82

63.48

63. 14

62.80

62.46

62. 12

61. 78

61.44

61. 10

60.75

60.41

60.06

59.72

59.37

59.03

58.68
106 GEOGRAPHIC TABLES AND FORMULAS. [BULU 234.

TABLE 13. Areas of quadrilaterals of earth's surface of 10' extent inlalitude and longitude Continued.

. [From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

64 05

64 15

64 25

64 35

"64 45

64 55

65 05

65 15

65 25

65 35

65 45

65 55

66 05

66 15

66 25

66 35

66 45

. 66 55

67 05

67 15

67 25

67 35

67 45

67 55

68 05

68 15

68 25

68 35

68 45

68 55

69 05

69 15

69 25

69 35

69 45

69 55

70 05

70 15

70 25

70 35

Area in square 

miles.

58. 33

' 57. 99

57. 64

57.29

56.94

56.59

56.24

55.89

55.54

55.19

54. 83

54.48

54.13

53.78

53.42

53.06

52.71

52. 35

52. 00

51.64

51.28

50.93

50.57

50.21

49. 85

49.49

49.13

48.77

48.41

' 48.05

47.69

47.33

46.97

46.60

46.24

45.88

45.51

45. 15

44.78

44.42

Middle latitude of 

quadrilateral.

o /

70 45

70 55

71 05

71 15

71 25

71 35

71 45

71 55

72 05

72 15

72 25

72 35

72 45

72 55

73 05

73 15

73 25

73 35

73 45

73 55

74 05

74 15

74 25

74 35

74 45

74 55

75 05

75 15

75 25

75 35

75 45

75 55

76 05

76 15

76 25

76' 35

76' 45

76 55

77 05

77 15

Area in square 

miles.

44.05

43.69

43.32

42.95

42.58

42.22

41.85

41. 48

41.11

40.74

40.37

40. 00

39.63

39.26

38.89

38.52

38.15

37.78

37.41

37.03 .

36.66

36.29

35.91

35.54

35.17

34.79

34.42

34. 04

33.66

33.29

32.91

32. '53

32.16

31.78

* 31.40

31.03

30.65

30.27

29.89

29.51

Middle latitude of 

quadrilateral.

. -o /

77 25

77 35

77 45

77 55

78 05

78 15

78 25

78 35

78 45

78 55 -

79 05

79 15

79 25

79 35

79 45

79 55

80 05

80 15

80 25

80 35

80 45

80 55

81 05 . 81 15

81 25

81 35

81 45

81 55

82 05

82 15

. 82 25

82 35

82 45

82 55

83 05

83' 15

83 25

DO OK 00 00

83 45

83 55

Area in square 

miles.

29.13

28.76

28.37

27.99

27.62

27.24

26.85

26.47

26.09

25.71

25.33

24.95

24. 67

24.18

23.80

23.42

23.04

. 22. 65

22.27

21.89

21.50

21.12

20.73

20.35

19.97

19.58

19.20

18.81

18. 43

18.04

17.65

17.27

16.88

16.50

16.11

15.73

15.34

14.95

14.57

14.18
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 107

TABLE 13. Areas of quadrilaterals of earth's surface of 10' extent in latitude and longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude of 

quadrilateral.

0 /

84 '05

84 15

84 25

84 35

84 45

84 55

85 05

85 15

85 25

85 35

85 45

85 55

Area in square 

miles.

13. 79

13.40

13.02

12. 63

12.24

11. 86

11. 47

11.08

10.69

10.30

9.92

9.53

Middle latitude of 

quadrilateral.

o /

86 05

86 15

86 25

86 35

86. 45

86 55

87 05

87 15

' 87 25

87 35

87 45

87 55

Area in square 

miles.

9.14

8.75

8.36

7.97

7.59

7.20

6.81

6.42

6.03

5.64

5.25

4.86

Middle latitude of 

quadrilateral.

0 /

88 05

88 15 .

88 25

88 35

88 45

' 88 55

89 05

89 15

89 25

89 35

89 45

89 55

Area in square 

miles.

4.47

4.09

3.70

3.31

2.92

2.53

2.14

1. 75

1.36

0.97

0.58

0.19
108 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 14. For conversion of arc into, time.

[BULL. 234.

o

0

1 

2 

3 

4 

5 

6 

7 

8 

9

10

11 

12 

13 

14 

15 

16 

17 

18 

19

20

21 

22 

23 

24 

25 

26 

27 

28 

29

30

31 

32 

33 

34 

35 

36 

 37 

38 

39

40

41 

42 

43 

44 

45 

46 

47 

48 

49

60

51 

52 

53 

64 

65 

56 

57 

58 

59

luT

h. m.

0 0 

0 4 

0 8 

0 12 

0 16 

0 20 

0 24 

0 28 

0 32 

0 36

0 40

0 44 

0 48 

0 52 

0 56 

1 0 

1 4 

1 8 

1 12 

1 16

1 20

1 24 

1 28 

1 32 

1 36 

1 40 

1 44 

1 48 

1 52 

1 56

2 0

2 4 

2 8 

2 12 

2 16 

2 20 

2 24 

2 28 

2 32 

2 36

2 40

2 44 

2 48 

2 52 

2 66 

3 0 

3 4 

3 8 

3 12 

3 16

.3 20

3 24 

3 28 

3 32 

3 36 

3 40 

3 44 

3 48 

3 52 

3 56

4 0

o

60

61 

62 

63 

64 

65 

66 

67 

68 

69

70

71 

72 

73 

74 

75 

76 

77 

78 

79

80

81 

82 

83 

84 

85 

86 

87 

88 

89

90

91 

92 

93 

94 

95 

96 

97 

98 

99

100

101 

102 

103 

104 

105 

106 

107 

108 

109

110

111 

112 

113 

114 

115 

116 

117 

118 

119

120

h. m.

4 0 

4 4 

4 8 

4 12 

4 16 

4 20 

4 24 

4 28 

4 32 

4 36

4 40

4 44 

448 

4 52 

4 66 

5 0 

5 4 

6 8 

5 12 

5 16

5 20

5 24 

528 

5 32 

5 36 

5 40 

5 44 

548 

652 

5 56

6 0

6 4 

6 8 

6 12 

6 16 

6 20 

6 24 

6 28 

6 32 

6 36

6 40

6 44 

6 48 

6 52 

6 56 

7 0 

7 4 

7 8 

7 12 

7 16

7 20

7 24 

7 28 

7 32 

7 36 

7 40 

7 44 

7 48 

7 52 

7 56

8 0

o

120

121 

122 

123 

124 

126 

126 

127 

128 

129

130

131 

132 

133 

134 

135 

136 

137 

138 

139

140

141 

142 

143 

144 

146 

146 

147 

148 

149

150

151 

152 

153 

154 

155 

156 

157 

158 

159

160

161 

162 

163 

164 

165 

166 

167 

168 

169

170

171 

172 

173 

174 

175 

176 

177 

178 

179

180

h. m.

8 0 

8 4 

8 8 

8 12 

8 16 

8 20 

824 

8 28 

8 32 

8 36

8 40

8 44 

848 

8 52 

8 56 

9 .0 

9 4 

9 8 

9 12 

9 16

9 20

9 24 

9 28 

9 32 

9 36 

9 40 

9 44 

9 48 

9 62 

9 56

10 0

10 4 

10 8 

10 12 

10 16 

10 20 

1024 

10 28 

10 32 

10 36

10 40

10 44 

10 48 

10 52 

10 56 

11 0 

11 4 

11 8 

11 12 

11 16

11 20

11 24 

11 28 

11 32 

11 36 

11 40 

11 44 

11 48 

11 52 

11 56

12 0

0

180

181 

182 

183 

184 

186 

186 

187 

188 

189

190

191 

192 

193 

194 

195 

196 

197 

198 

199

|200

201 

202 

203 

204 

205 

206 

207 

208 

209

210

211 

212 

213 

214 

215 

216 

217 

218 

219

220

221 

222 

223 

224 

225 

226 

227 

228 

229

230

231 

232 

233 

234 

235 

236 

237 

238 

239

240

h. m.

12 0 

12 4 

12 S 

12 12 

12 16 

12 20 

12 24 

12 28 

12 32 

12 36

12 40

12 44 

12 48 

12 52 

12 56 

13 0 

13 4 

13 8 

13 12 

13 16

13 20

13 24 

13 28 

13 32 

13 36 

13 40 

1344 

13 48 

13 52 

13 56

14 0

14 4 

14 8 

14 12 

14 16 

14 20 

1424 

14 28 

14 32 

14 36

14 40,

14 44 

1448i 

14 52 

14 56 

15 0 

15 4 

15 8 

15 12 

15 16

15 20

15 24 

15 28 

15 32 

15 36 

15 40 

15 44 

15 48 

15 52 

15 56

16 0

o

240

241 

242 

243 

244 

245 

246 

247 

248 

249

250

251 

252 

253 

254 

255 

256 

257 

258 

259

260

261 

262 

263 

264 

205 

266 

267 

268 

269

270

271 

272 

273 

274 

275 

276 

277 

278 

279

280

281 

282 

283 

284 

285 

286 

287 

288 

289

290

291 

292 

293 

294 

295 

296 

297 

298 

299

300

h. m.

16 0 

16 4 

16 8 

 16 12 

16 16 

16 20 

16 24 

16 28 

16 32 

16 36

16 40

16 44 

16 48 

16 52 

16 56 

17 0 

17 4 

17 8 

17 12 

17 16

17 20

17 24 

17 28 

17 32 

17 36 

17 40 

17 44 

17 48 

17 52 

17 56

18 0

18 4 

18 8 

18 12 

18 16 

18 20 

18 24 

18 28 

18 32 

18 36

18 40

18 44 

18 48 

18 52 

18 56 

19 0 

19 4 

19 8 

19 12 

19 16

19 20

19 24 

1928 

19 32 

19 36 

19 40 

19 44 

19 48 

19 52 

19 56

20 0

o

300

301 

302 

303 

304 

305 

306 

307 

308 

309

310

311 

312 

313 

314 

315 

316 

317 

318 

319

320

321 

322 

323 

324 

325 

326 

327 

328 

329

330

331 

332 

333 

334 

335 

336 

337 

338 

339

340

341 

342 

343 

344 

345 

346 

347 

348 

349

350

351 

352 

353 

354 

366 

356 

357 

358 

359

360

h.' m.

20 0 

20 4 

20 8 

20 12 

20 16 

20 20 

20 24 

20-28 

20 32 

20 36

20 40

20 44 

20 48 

20 52 

20 56 

21 0 

21 4 

21 8 

21 12 

21 16

21 20

21 24 

21 28 

21 32 

21 36 

21 40 

21 44 

21 48 

21 52 

21 56

22 0

22 4 

22 8 

22 12 

22 16 

22 20 

22 24 

22 28 

22 32 

22 36

22 40

22 44 

22 48 

22 52 

22 56 

23 0 

23 4 

23 8 

23 12 

23 16

23 20

23 24 

23 28 

23 32 

23 36 

23 40 

23 44 

23 48 

23 62 

23 56

24 0

''

0

1 

2 

3 

4 

5 

6 

7 

8 

9

10

11 

12 

13 

14 

16 

16 

17 

18 

19

20

21 

22 

23 

24 

25 

26 

27 

28 

29

30

31 

32 

33 

34 

35 

36 

37 

38 

39

40

41 

42 

43 

44 

45 

46 

47 

48 

49

50

51 

52 

53 

54 

55 

56 

57 

58 

59

60

m. s.

0 0 

0 4 

0 8 

0 12 

0 16 

0 20 

0 24 

0 28 

0 32 

0 36

0 40

0 44 

0 48 0 52' 

0 56. 

1 0 

1 4 

1 8 

i 12 

1 16.

1 20

1 24 

1 28 

4 32 

1 36 

1 40 

1 44 

1 48 

1 52 

1 56

2 0

2 4" 

2 8 

2 12 

2 16 

2 20 

2 24 

2 28 

2 32 

2 36

2 40

2 44 

2 48 

2 62 

2 56 

3 0 

3 4 

3 8 

3 12 

3 16

3 20

3 24 

3 28 

3 32 

3 36 

3 40 

3 44 

3 48 

3 62 

3 56

4 -0

n

0

1 

2 

3 

4 

5 

6 

7 

8 

9

11 

^ity*

-M*

;18

w

21 

22 

23 

24 

25 

26 

27 

28 

29

30

31 

32 

33 

34 

35 

36 

37 

38 

39

40

41 

42 

43 

44 

45 

46 

47 

48 

49

50

51 

52 

53 

54 

66 

56 

57 

58 

59

60

s.

0.000 

0.067 

0.133 

0.200 

0.267 

0.333 

0.400 

0.467 

0.533 

0.600

0.607

0.733 

0.800 

0. 867 

0.933 

1.000 

1.067 

*!. 133 

1.200 

*.!. 267

1.333

1.400 

1.467 

1.533 

1.600 

1.667 

1.733 

1.800 

1.867 

1.933

2.000

2.067 

2.133 

2 200 

2.267 

2.333 

2.400 

2.467 

2.533 

2.600

2.667

2.733 

2.800 

2.867 

2.933 

3.000 

3.067 

3.133 

3.200 

3.267

3.333

3.400 

3.467 

3.533 

3.600 

3.667 

3.733 

3.800 

3.867 

3.933

4'. 000
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 15. For conversion of tiine into arc.

109

Hours of time into arc.

Time.

hrs.

\

2

3

4

Arc.

o

15

30

4560 '

Time.

hrs.

5

6

7

8

Arc.

o

75

90

105

120

Time.

hrs.

9

10

11

12

Arc.

o

135

150

165

180

Minutes of time into arc.

m.

i

2

3

4.

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

0 /

0 15

0 30

0 45

1 0

1 15

1 30

1 45

2 0

2 15

2 30

2 45

3 0

3 15

3 30

3 45

4 0

4 15

4 30

4 45

5 0-

m.

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

o /

5 15

5 30

5 45

6 0

6 15

6 30

6 45

7 0

7 15

7 30

7 45

8 0

8 15

8 30

8 45

9 0

9 15

9 30

9 45

10 0

m

41 ' 42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

(JO

o /

10 15

10 30

10 45

.1.1 0

11 15

11 30

11 45

12 0

12 15

12 30

12 45

13 0

13 15

13 30

13 45

14 0

14 15

14 30

14 45

15 0

Time.

hrs.

13

14

15

1G

Arc.

O

195

210

225

240

Time.

hrs.

17

18

19

20

Arc.

0

255

270

285

300'

Time.

hrs.

21

22

23

24

Arc.

O

315

330

345

360

Seconds of time into arc.

s.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

/ //

0 15

0 30

0 45

1 0

1 15

1 30

1 45

2 0

2 15

2 30

2 45

3 0

3 15

3 30

3 45

4 0

4 15

4.30

4 45

5 0

Hunclredths of a second of time ii

Hundredths

of a second

of time.

o!bo

.10

.20

.30

; 40

0.50 .60-

.70

.80

.90

.00

//

0.00

1.50

3.00

4.50

6.00

7.50

9.00

10.50

12.00

13.50

.01

//

0.15

1.65

3.15

4.65

6.15

7.65

9.15

10.65

12.15

13.65

.02

n

0.30

1.80

3.30

4.80

6.30

7.80

9.30

10.80

12.30

13.80

.03

//

0.45

1.95

3.45

4.95

6.45

7.95

9.45

10.95 "

12.45 :

13.95 ]

.04

//

0.60

2.10

3.60

5.10

6.60

8.10

9.60

LI. 10

.2.60

14.10

.05

//

0.75

2.25

3.75

5.25

6.75

8.25

9.75

11.25

12.75

14.25

s.

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

/ //

5 15

5 30

5 45

6 0

6 15

6 30

6 45

7 0

7 15

7 30

7 45

8 0

8 15

8 30

8 45

9 0

9 15

9 30

9 45

10 0

s.

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

00

' a

10 15

10 30

10 45

11 0

11 15

11 30

11 45

12 0

12 15

12 30

12 45

13 0

13 15

13 30

13 45

14 0

14 15

14 30

14 45

15 0

to arc.

.06

//

'0.90

2.40

3.90

5.40

6.90

8.40

9.90

11.40

12.90

14.40

.07

//

1.05

2.55

4.05

5.55

7.05

8.55

10.05

11.55

13.05

14.55

.08

n

1.20

2.70

4.20

5.70

7.20

8.70

10.20

11.70

13.20

14.70

.00

II

1.35

2.85

4.35

5.85

7.35

8.85

10.35

11.85

13.35

14.85
110 GEOGRAPHIC TABLES AND FORMULAS. [BOLL.234. 

TABLE 16. For conversion of mean lime into sidereal lime.

a

0

1 

2 

3 

4 

5 

6 

7 

8 

9

10

11 

12 

13 

 14 

15 

16 

17 

18 

19

20

21 

22 

23 

24 

25 

26 

27 

28 

29

30

31 

32 

33 

34 

35 

36 

37 

38 

39

40

41 

42 

43 

44 

45 

46 

47 48 ' 

49

50

51 

52 

53 

54 

55 

56 

57 

58 

59

60

m 

0

h m s 

000

065 

0 12 10 

0 18 16 

0 24 21 

0 30 26 

0 36 31 

0 42 37 

0 48 42 

0 54 47

1 0 52

1 6 58 

1 13 3 

1 19 8 

1 25 13 

1 31 19 

1 37 24 

1 43 29 

1 49 34 

1 55 40

2 1 45

2 7 50 

2 13 55 

2 20 1 

2 26 6 

2 32 11 

2 38 16 

2 44 22 

2 50 27 

2 56 32

3 2 37

3 8 43 

3 14 48 

3 20 53 

3 26 58 

3 33 3 

3 39 9 

3 45 14 

3 51 19 

3 57 24

4 3 30

4 9 35 

4 15 40 

4 21 45 

4 27 51 

4 33 56 

4 40 1 

4 46 6 

' 4 52 12- 

4 58 17

5 4 22

5 10 27 

5 16 33 

5 22 38 

5 28 43 

5 34 48 

5 40 54 

5 46 59 

5 53 4 

5 59 9

6 5 15

m 

1

h m s 

6 5 15

6 11 20 

6 17 25 

6 23 30 

6 29 36 

6 35 41 

6 41 46 

6 47 51 

6 53 56 

702

767

 7 12 W 

7 18 17 

7 24 23 

7 30 28 

7 36 33 

7 42 38 

7 48 44 

7 54 49 

8 0 54

8 6 59

8 13 5 

8 19 10 

8 25 15 

8 31 20 

8 37 26 

8 43 31 

8 49 36 

8 55 41 

9 1 47

9 7 52

9 13 57 

9 20 2 

9 26 8 

9 32 13 

9 38 18 

9 44 23 

9 50 28 

9 56 34 

10 2 39

10 8 44

10 14 49 

10 20 55 

10 27 0 

10 33 5 

10 39 10 

10 45 16 

10 51 21 

10 57 26 

11 3 31

11 9 37

11 15 42 

11 21 47 

11 27 52 

11 33 58 

11 40 3 

11 46 8 

11 52 13 

11 58 19 

12 4 24

12 10 29

-m

2

h m s 

12 10 29

12 16 34 

12 22 40 

12 28 45 

12 34 50 

12 40 55 

12 47 1 

12 53 6 

12 59 11 

13 5 16

13 11 21

13 17 27 

13 23 32 

13 29 37 

13 35 42 

13 41 48 

13 47 53 

13 53 58 

14 0 .3 

14 6 9

14 12 14

14 18 19 

14 24 24 

14 30 30 

14 36 35 

14 42 40 

14 48 45 

14 54 51 

15 0 56 

.15 7 1 

15 13 6

15 19 12 

15 25 17 

15 31 22 

15 37 27 

15 43 33 

15 49 38 

15 55 43 

16 1 48 

16 7 54

16 13 59

16 20 4 

16 26 9 

16 32 14 

16 38 20 

16 44 25 

16 50 30 

16 56 35 

17 2 41 

17 8 46

17 14 51

17 20 56 

17 27 2 

17 33 7 

17 39 12 

17 45 17 

17 51 23 

17 57 28 

18 3 "33 

18 9 38

18 15 44

m 

3

h m s 

18 15 44

18 21 49 

18 27 54 

18 33 59 

18 40 5 

18 46 10 

18 52 15 

18 58 20 

19 4 26 

19 10 31

19 16 36

19 22 41 

19 28 47 

19 34 52 

19 40 57 

19 47 2 

19 53 7 

19 59 13 

20 5 18 

20 11 23

20 17 28

20 23 34 

20 29 39 

. 20 35 44 

20 41 49 

20 47 55 

20 54 0 

21 0 5 

21 6 10 

21 12 16

21 18 21

21 24 26 

21 30 31 

21 36 37 

21 42 42 

21 48 47 

21 54 52 

22 0 58 

22 7 3 

22 13 8

22 19 13

22 25 19 

22 31 24 

22 37 29 

22 43 34 

22 49 39 

22 55 45 

23 1 60 

23 7 55 

23 14 0

23 20 6

23 26 11 

23 32 16 

23 38 21 

23 44 27 

23 50 32 

23 56 37 

24 2 42 

24 8 48 

24 14 53

24 20 68

s 

0.00

0.01 

0.02 

0.03 

0.04 

0.05 

0.06 

0.07 

0.08 

0.09'

0.10

0.11 

0.12 

0.13 

0.14 

0.15 

0.16 

0.17 

0.18 

0.19 '

0.20

0.21 

0.22 

0.23 

0.24 

0.25 

0.26 

0.27 

0.28 

0.29

0.30

0.31 

0.32 

0.33 

0.34 

0.35 

0.36 

0.37 

0.38 

0.39

0.40

0.41 

0.42 

0.43 

0.44 

0.45 

0.46 

0.47 

0.48 

0.49

0.50

m s 

0 0

0 4 

0 7 

0 11 

0 15 

0 18 

0 22 

0 26 

0 29 

0 33

0 37

0 40 

0 44 

0 47 

0 51 

0 55 

0 58 

1 2 

1 6 

1 9

1 13

1 17 

1 20 

1 24 

1 28 

1 31 

1 35 

1 39 

1. 42 

1 46

1 50

1 53 

1 57 

2 1 

2 4 

2 8 

2 11 

2 15 

2 19 

2 22

2 26

2 30 

2 33 

2 37 

2 41 

2 44 

2 48 

2 52 

2 55 

2 59

3 3-

s 

0.50

0.51 

0.52 

0.53 

0.54 

0.65 

0.56 

0.57 

0.58 

0.59

0.60

' 0.61 

0.62 

0.63 

0.64 

0.66 

0.66 

0.67 

0.68 

0.69

0.70

0.71 

0.72 

0.73 

0.74 

0.75 

0.76 

0.77 

0.78 

0.79

0.80

0.81 

0.82 

0.83 

0.84 

0.85 

0.86 

0.87 

0.88 

0.89

0.90

0.91 

0.92 

0.93 

0.94 

0.95 

0.96 

0.97 

0.98 

0.99

1.00

m s 

3 3'

3 6 

3 10 

3 14 

3 17 

3 21 

3 25 

3 28 

3 32 

3 35

3 39

3 43 

3 46 

3 50 

3 54 

3 57 

4 1 

4 5 

4 8 

4 12

4 16

4 19 

4 23 

4 27 

4 30 

4 34 

4' 38 

4 41 

4 45 

4 49

4 62

4 56 

4 59 

5 3 

6 7 

5 10 

5 14 

5 18 

5 21 

5 25

5 29

5 32 

5 36 

5 40 

5 43 

5 47 

5 61 

5 54 

5 58 

6 2

6 5

Example: Let the given mean 

timebel4b57m 32".56. 

The table gives 

first for WM" 51 2">27« 

then for 2 41.56 0.44

The

14»57°>

is th

sum 

32 .56+2" 

3 required

2 27. 44 

27". 44-15* QsjQ«

sidereal tim,e.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. Ill

 TABLE 17. For conversion of sidereal lime_into mean time.

s

0

1 

2 

3 

4 

5 

6 

7 

8 <)

10

11 

12 

13 

14 

15 

16 

17 

18 

19

20

21 

22 

23 

24 

25 

26 

27 

28 

29

30

31 

32 

33 

34 

35 

36 

37 

38 

39

40

41 

42 

43 

44 . 

45 

46 

47 

48 

49

50

51

52 

53 

54 

55 

56 

57 

58 

59

60

m 

0

h m s

000

066 

0 12 12 

 0 18 19 

0 24 25 

0 30 31 

0 36 37 

0 42 44 

0 48 50 

0 54 56

112

179 

1 13 15 

1 19 21 

1 25 27 

1 31 34 

1 37 40 

1 43 46 

1 49 52 

1 55 59

225

2 8 11 

2 14 17 

2 20 24 

2 26 30 

2 32 36 

2 38 42 

2 44 49 

2 50 55 

2 57 1

337

3 9 14 

3 15 20 

3 21 ' 26 

3 27 32 

3 33 38 

3 39 45 

3 45 61 

3 51 67 

3 58 3

4 4 10

4 10 16 

4 16 22 

4 22 28 

4 28 35 

4 34 41 

4/40 47 

4 46 53 

4 53 0 

4 59 6

5 5 12

5 11 18 

5 17 25 

5 23 31 

5 29 37 

' 5 35 43 

5 41 50 

5 47 56 

5 54 2 

608

6 6 15

m

1

h m s 

6 6 15

12 21 

18 27 

f 24 33 

30 40 

36 46 

42 52 

( 48 58 

( 55 4 

7 -1 11

7 7 17

7 13 23 

7 19 29 

7 25 36 

7 31 42 

7 37 48 

7 43 54 

7 50 . 1 

7 56 7 

8 2 13

8 8 19

8 14 26 

8 20 32 

8 26 38 

8 32 44 

8 38 51 

8 44 67 

8 51 3 

8 57 9 

9 3 16

9 9 22

9 li> 28 

9 21 34 

9 27 41 

9 33 47 

9 39 53 

9 45 59 

9 52 5 

9 58 12 

10 4 18

10 10 24

10 16 30 

10 22 37 

10 28 43 

10 34 49 

10 40 55 

10 47 2 

10 53 8 

10 59 14 

11 5 20

11 11 27

11 17 33 

11 23 39 

11 29 45 

11 35 52 

11 41 58 

11 48 4 

11 54 10 

12 0 17 

12 6 23

12. 12 29

m 

2

h m s 

12 12 29

12 18 35 

12 24 42 

12 30 48 

12 36 54 

12 43 0 

12 49 7 

12 55 13 

13 1 19 

13 7 25

13 13 31

13 19 38 

13 25 44 

13 31 50 

13 37 56 

13 44 3 

13 50 9 

13 56 15 

14 2 21 

14 8 28

14 14 34

14 20 40 

14 26 46 

14 32 53 

14 38 59 

14 45 5 

14 51 11 

14 57 18 

15 3 24 

15 9 30

15 15 36

15 21 43 

15 27 49 

15 33 55 

15 40 1 

15 46 8 ' 

15 52 14 

15 58 20 

16 4 26 

16 10 33

16 16 39

16 22 45 

16 28 51 

16 34 57 

16 41 4 

16 47 10 

16 53 16 

16 59 22 

17 5 29 ' 

17 11 35

17 17 41

17 23 47 

17 29 64 

17 36 0 

17 42 6 

17 48 12 

17 54 19 

18 0 25 

18 6 31 

18 12 37

18 18 44

m 

3

h m s 

18 18 44

18 24 50 

18 30 56 

18 37 2 

18 43 9 

18 49 15 

18 55 21 

19 1 27 

19 7 34 

19 13 40

19 19 46

19 25 52 

19 31 59 

19 38 5 

19 44 11 

19 50 17 

19 56 23 

20 2 30 

20 8 36 

20 14 42

20 20 48

20 26 55 

20 33 1 

20 39 7 

20 45 13 

20 51 20 

20 57 26 

21 3 32 

21 9 38 

21 15 45

21 21 51

21 27 57 

21 34 3 

21 40 10 

21 46 16 

21 52 22 

21 68 28 

22 4 35 

22 10 41 

22 16 47

22 22 53

22 29 0 

22 35 6 

22 41 12 

22 47 18 

22 53 24 

22 59 31 

23 5 37 

23 11 43 

23 17 49

23 23 56

23 30 2 

23 36 8 

23 42 14 

23 48 21 

23 54 27 

24 0 33 

24 6 39 

24 12 46 

24 18 52

24 24 58

.

8

0.00

0.01 

0.02 

0.03 

0.04 

0.05 

0.06 

0.07 

0.08 

0.09

0.10

0.11 

0.12 

0.13 

0.14 

0.15 

0.16 

0.17 

0.18 

0.19

0.20

0.21 

0.22 

0.23 

0.24 

0.25 

0.26 

0.27 

0.28 

0.29

0.30

0.31 

0.32 

0.33 

0.34 

0.35 

0.36 

0.37 

0.38 

0.39

0.40

0.41 

0.42 

0.43 

0.44 

0.45 

0.46 

0.47 

0.48 

0.49

0.50

m s

o xo

0 4 

0 -7, 

0 11 

0 15 

0 18 

0 22 

0 26 

0 29 

0 33

0 37

0 40 

0 44 

0 43 

0 51 

0 55 

0 59 

1 2 

1 6 

1 10

1 13

1 17 

1 21 

1 24 

1 28 

 1 32 

1 35 

1 39 

1 43 

1 46

1 50

1 54 

1 57 

2 1 

2 5 

2 8 

2 12 

2 16 

2 19 

2 23

-.2 26.

2 30 

2 34 

2 37 

2 41 

2 45 

2 48 

2 52 

2 56 

2 59

3 3

s 

0.50

0.51 

0.52 

0.63 

0.54 

0.55 

0.56 

0.67 

0.58 

0.59

0.60

0.61 

0.62 

0.63 

0.64 

0.65 

 0.66 

0.67 

0.68 

0.69

0.70

0.71 

0.72 

0.73 

0.74 

0.75 

0.76 

0.77 

0.78 

0.79

0.80

0.81 

0.82 

0.83 

0.84 

0.85 

0.86 

0.87 

0.88 

0.89

0.90-

0.91 

0. 92 

0.93 

0.94 

0.95 

0.96 

0.97 

0.98 

0.99

l.'OO

m 8 

3 3

3 7 

3 10 

3 14 

3 18 

'3 21 

3 25 

3 29 

3 32 

3 36

3 40

3 43' 

3 47 

3 51 

3 54 

3 58 

4 2 

4 5 

4 9 

4 13

4 16

4 20 

4 24 

4 27 

4 31 

4 35 

4 38 

4 42 

4 46 

4 49

4 53

4 57 

5 0 

5 4 

5 8 

5 11 

5 15 

5 19 

5 22 

5 26 .

5 30

5 33 

5 37 

5 41 

5 44 

5 48 

5 62 

6 55 

5 59 

6 3

6 6

Example: Given 15h Om 0". 

The table gives 

first for 14" 57-n 18" 2»27« 

then for 2 42 0.44

15 0 0 2 27.44 

The difference 

15hQm QS - 2°> 27«.44 = 14" 57" 32'.56

is the required mean time.
112 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 18. For inter converts ion of feet and decimals of a mile.

Feet.

53

106

. 158

211

264

317

370

422

475

528

581

634

686

739

792

845

898

950

1003

1056

1109

1162

1214

1267

1320

Miles.

.01

.02

- .03

104

.05

.06

.07 :o8

.09

.10

.11

.12

.13

.14

.15

.16

.17

.18

.19

.20

.21

.22

.23

.24

.25

Feet.

1373

1426

1478

1531

1584

1637

169b1742

1795

1848

1901

1954

2006

2059

2112

2165

2218

2270

2323

2376

2429

2482

2534

2587

2640

Miles.

.26

.27

.28

.29

.30

.31

.32

.33

.34

.35

.36

.37

.38

.39

.40

.41

.42

.43

.44

.45

.46

.47

.48

.49

.50

Feet.

2693

2746

2798

2851

2904

2957

3010

3062

3115

3168

3221

3274

3326

3379

3432

3485

3538

3590

3643

3696

3749

3802

3854

3907

3960

Miles.

.51

.52

.53

.54

.55

.56

.57

.58

.59

.60

.61

.62

.63

.64

.65

.66

.67

.68

.69

.70

.71

.72

.73

.74

.75

Feet.

4013

4066

4118

4171

4224

4277

4330

4382

4435

4488

4541

4594

4646

4699

4752

4805

4858

4910

4963

5016

5069

5122

5174

5227

5280

Miles.

.76

.77

.78

.79

.80

.81

.82

.83

.84

.85

.86

.87

.88

.89

.90

.91

.92

.93

.94

.95

.96

.97

.98 .

.99

1.00
OANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 113

TABLE 19. Converting wheel revolutions into hundredths of a mile.

[Prepared by J. H. Jennings.] 

[Scale divisions outside; revolutions inside.] 

CIRCUMFERENCE OF WHEEL, 9.5 FEET.

0

0

10

20

30

40

60

GO

70

80

90

1

6

61

117

172

228

283

339

394

450

506

2

11

67

122

178

233

289

344

400

455

511

3 

17

72

128

183

239

294

350

405

461

516

4

22

' 78

133

189

244

300

355

411

466

522

5

28

83

139

194

250

305

361

416

472

528

6

33

89

144

200

255

311

366

422

478

533

7

39

94

150

205

261

316

372

428

483

539

8

44

100

155

211

266

322

378

433

489

544

9

50

105

161

216

272

328

383

439

494

550

10

56

111

167

222

278

333

389

444

500

555

CIRCUMFERENCE OF WHEEL, 9.6 FEET.

0

0

10

20

30

40

60

GO

70

80

90

1

5

60

116

171

225

281

336

391

446

501

2

11

66

121

177

231

286

341

396

451

506

;{

16

72

126

182

236

292

347

' 402

457

512

4

22

77

132

188

242

297

352

407

462

517

5

27

82

137

193

247

303

358

413

468

523

0

33

88

143

199

253

308

363

418

473

528

7

38

93

148

204

258

314

369

424

479

534

8

44

99

154

209

264

319

374

429

' 484

539

!)

50

105

159

215

270

325

380

435

490

544

10

55

110

165

220

275

330

385

440

495

550

CIRCUMFERENCE OP WHEEL, 9.7 FEET.

0

0

10

20

30

40

60

GO

70'

80

90

'

5

60

1.14

169

223

277

331

386

441

495

2

11

65

120

174

228

283

337-

392

446

500

;:

16

71

125

179

234

288

342

397

451

506

4

22

76

131

185

239

294

348

403

457

511

5

27

81

136

190

245

299

353

408

462.

517

(i

33

87

142

196

250

305

359

414

468

522

7

38

92

147

201

'256

310

364

419

473

528

8

44

98

152'

206

261

316

370

424

479

533

9

49

103

158

212"

267

321

376

429

484

530

10

54

109

163

218

272

326

381

435

490

544

Bull. 234 04 -8
114 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 19. Converting wheel revolutions into hundredths of a mile Continued.

CIRCUMFERENCE OF WHEEL, 9.8 FEET.

0

0

10

'-'<)

::o

40

50

60

70

80

90

1

5

59

113

167

221

275

329

383

437

490

2

n

65

119

172

226

280

334

388

442

496

3

16

70

124

1.78

231

286

339

394

447

501

4

22

75

129

183

237

291

345

400

453

506

5

27

81

135

189

242

296

350

405

458

512

6

32

86

140

194

248

302

356

410

464

517

7

38

91

145

199

253

307

361

415

469

522

8

43

97

151

205

259

313

366

421

474

528

9

49

102

156

211

265

318

372

426

480

533

10

54

108

162

216

270

324

377

431

485

539

CIRCUMFERENCE OF WHEEL, 9.9 FEET.

0

0

10

20

30

40

50

60

70

80

90

1

5

59

112

165

219

272

325

378

432

485

2

11

64

117

170

224

277

330

384

437 '

490

3

16

69

122

176

229

282

336

389

442

496

4

21

75

128

181

235

288

341

394

448

501

5

27

80

133

186

240

293

346

400

453

506

6

32

85

138

192

245

298

352

405

458

512

7

37

91

144

197

251

304

357

410

464

517.

8

43

96

149

203

256

309

362

416

469

522

9

48

101

155

208

261

314

368

421

474

528

10

53

107

160

213

267

320

373

426

480

533

CIRCUMFERENCE OF WHEEL, 10 FEET.

0

0

10

20

30

40

50

60

70

80

90

1

5

58

111

164

217

269

322

375

428

481

2

11

63

116

169

222

275

327

380

433

486

3

16

69

121

174

227

280

333

385

. 438

491

4

21

75

127

180

232

285

338

391

444

496

5

26

80

132

185

238

290

343

396

449

502

6

32

85

137

190

243

296

349

401

454

507

7

37

90

143

195

248

301

354

406

459

512

8

42

96

148

201

253

306

359

412

465

517

9

48

101

153

206

259

311

364

417

470

523

10

53

106

158

211

264

317

370

422

475

528
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 115

TABLE 19. Converting wheel revolutions into hundredth^ of a mile Continued.

CIRCUMFERENCE OF-WHEEL, 10.1 FEET.

0

0

10

20

;to

40

50

00

70

80

90

1

5

58

110

. 162

214

267

319

371

424

476

(I

10

63

115

167

220

272

324

376

429

481

3

16

68

121

173

226

277

329

381

434

486

4

21

73

126

178

231

282

334

386

439

492

5

26

79

131

183

. 236

288

340

392 445'

497

0

31

 84

136

188

241

293

345

 397

450

502

7

36

89

142

193.

247

298

350

402

455

507

8

41

94

147

199

252

303

355

408

460

513

9

47

100

152

204

257

308.

361

413

466

518

10

52

105

157

209

262

314

366

418

471

523

CIRCUMFERENCE OF WHEEL, 10.2 FEET.

0

0

10

20

30

 40

50oo'

70

SO

1)0

1

5

57

109

161

212

264

316

368

419

471

2

10

62

114

166

218

269

321

373

425

476

9

16

67

119

171

224

275

326

378

430

481

4

21

73

124

176

229

280

332

383

435

487

6

26

78

130

181

234

285

337

388

440

492

6

31

83

135

186

239

290

342

394

446

497

7

36

88

140

191

244

295

347

399'

451

503

8

41

93

145

197

249

300

352

404

456

508

9

47

98

150

202

254

306

357

409

461

513

10

52

104

155

207

259

311

363

414

466

518

CIRCUMFERENCE OF WHEEL, 10.3 FEET.

0

0

10

20

30

40

50

CO

70

80

90

1

5

56

108

159

209

262

313

364

416

467

2

10

62

113

164

214

267

318

369

421

472

3

15

67

118

169

219

272

323

374

426

477

4

20

72

123

174

224

277

328

380

431

482

6

26

77

128

180

230

282

333

385

436

487

«

31

82

133

185

235

287

338

390

441

492

7

36

87

138

190

240

292

344

395

446

498

8

41

92

144 '

195

245

297

349

400

451

503

tt

46

97

149

200

250

303

354

405

457

508

10

51

i.03

154

204

256

308

359

410

462

513
116 GEOGBAPHIC TABLES AND FOEMLTLAS. [BULL. 234.

TABLE 19. Converting wheel revolutions into hundredths of a mile Continued.

CIRCUMFERENCE OF WHEEL, 10.4 FEET.

0

0

10

20

80

40

50

GO

70

80

0»0

1

5

56

107

157

208

259

310

361

411

462

2

10

61

112

163

213

264

315

366

416

467

3

15

66

117

 168

218

269

320

371

421

. 472

4

20

71

122

173

223

274

325

376

426

478

5

25

76

127

178

228 -

279

33p

381

432

483

(i

30

. 81

132

183

233

284

335

386

437

488

7

36

86

. 137

188

238

289

340

391

442

493

8

41

91

142

193

244

295

345

396

447

498

9

46

.97

147

198

249

300

350

401

452

503

10

51

102

152

203

254

305

356

406

457.

508

CIRCUMFERENCE OF WHEEL, 10.5 FEET.

0

0

10

20

30

40

50

60

70

80

90

1

5

55

106

156

206

257

307

357

407

458

2

10

60

111

161

211

262

312

362

412

463

3

15

65

116

166

216

267

317

367

417

468

4

20

70

121

171

221

272

322

372

422

473

5

25

75

126

176

226

277

327

377

428

478

6

30

80

131

181

231

282 .

 332

382

433

483

7

35

85

136

186

236

, 287

337

387

438

488

8

40

90

141

191

 241

292

342

392

443

493'

9

45

95

146

196

246

297

347

397

448

498

10

50

101 .

151

201

251

302

352

402

453

503

CIRCUMFERENCE OF WHEEL, 10.6 FEET.

0

0

10

20

30

40

50

CO

70

80

90

1

5

55

105

154

204

254

304

354

403

4.53

o

10

60

110

159

209

! 259

,309

;359

U08

458

;t

15

65

115

164

214

264

314

364

413

463

4

20

70

120

169

219

269

319

369

418

468

5

25

75

125

174

224

274

324

374

423

473

6

30

80

130

179

229

279

329

379

428

478

' 7

35

85

135

184

234

284

334

384

433

483

8

40

'90

140

189

239

289

339

389

438

488

9

45

95

144

194

244

294

344

393

443

403

10

50

100

149

199

249

299

. 349

398

448

498
TABLES FORMULAS.

TABLE 19. Converting wheel revolutions into hundredths of a mile Continued. 

CIRCUMFERENCE OF WHEEL, 10.7 FEET.

0.

0

10

20

ao

40

r>o

<iO .

70

80

00

1

5

54

104

153

203

252

.301

351

400

450

o

10

59

109

158

207

257

306

356

405

454

3

1.5

64

114

163

212

262

311

361

410

459

4 

20

69

119

168

217

267

316

366

415

464

5

25

74

123

173

222

272

321

371

420

469

o

30

79

128

178

227

277

326

375

425

474

7

35

84

.133

183

232

282

331

380

430

479

8

40

89

138

188

237

287

336

385

435

4S4

!)

44

94

143

193

242

291.

341

390

440

489

.10

49

99

148

.198

247

296 .

346

395

445

494

CIRCUMFERENCE OF WHEEL, 10.8 FEET.

0

0

10

20 '

150

40

50

CO

70

80

00

1

5

54

103

152

200

249

298

346

396

445

2

1.0

59

108

156

205

254

303

351

401

450

3

15

64

. 113

161.

210

259

308

356

406

455

4X

20

68

118

166

215

264

313

361

411

460

5

24

73

122

171

220

269

318

366

416

461

 <;

29

78

127

176

225

274

323

371

421

469

7

34

83

132

181

230

279

' 328

376

425

474

S

39

88

1.37

186

235

283

332

381

430

479

<>

44

93

.142

191

240

288

337

386

435

484

10

49 '

98

147

196

244

293

341

391

440

489.

CIRCUMFERENCE OF WHEEL, 10.9 FEET.

0

0

10

20

30

40

50

00

70

80

90

1

5

53

102

150

197

247

295

344

392

440

2

10

58

 107

.155

202

252

300

349

397

445

3

15

63

' 111

160

207

257

305

353

402

450

4°

19

68

116

165

212

261

.310

358

407

455

5

24

73

121

170

217

266

315

363

411

460

<s

29

78 '126

175

222

271

319

368

' 41.6

465

7

34

82

131

179

227

276

324

373

421

469

8

39

87

136

184

232

281

329

378

426

474

 it

44

92

141

189

237

286

334

383

431

' 479

10

 48

97

145

193

242

290

339

387

436

484
GEOGRAPHIC TABLES AtfD FORMULAS. [BOLL.234.

TABLE 19. Converting wheel revolutions into hundredlhs of a mile Continued. 

CIRCUMFERENCE OF WHEEL, 11.0 FEET.

0

0

.10

20

30

40

50

60

70

80

90

1

5

53

101

149

197

245

293

341

389

437

2

10

57

106

154

202

250

298

346

394

442

3

14

62

110

158

206

254

302

350

398

446

4

19

67.

115

163

211

259

307

355

403

451

5

24

72

119

168

216

263

312

460

408

456

6

29

76

124

173

221

268

317

365

413

461

7

33

81

129

178

225

273

321

369

417

465

8

38

86

134

182

230

278

326

374

422

470

9

43

91

139

187

235

283

331

379

427

475

10

48

96

144

192

240

288

336

384

432

.480

CIRCUMFERENCE OF WHEEL, 11.1 FEET.

0

0

10

20

30

40

50

60

70

80

90

1

5

52

100

147

195

243

290

338

386

433

2

10

57

104

152

200

248

.295

343

390

438

3

14

62

109

157

205

252

300

347

395

443

4

19

66

114

161

209

257

305

352

400

447

6

24

71

119

166

214

262

309

357

405

452

6

29

76

124

171

219

267

314

362

409

457

7

33

81

129

176

224

271

319

367

414

462

8

38

85

133

180

229

276

324

371

419

466

9

43

90

138

185

233

281

328

376

424

471

10

48

95

143

190

238

286

333

' 381

428

476

CIRCUMFERENCE OF WHEEL, 11.2 FEET.

0

0

10

20

30

40

50

60

70

80

90

1

5

52

99

146

193

240

287

334

382

429

2

9

57

104

151

198

245

292

339

386

434

3

14

62

108

155

203

250

297

344

391

438

4

19

66

113

160

207

255

302

348

396

443

5

24

71

117

165

212

259

307

, 353

V

400

447

(>

28

76

122

169

217

264

312

358

405

452

7

33

80

127

174

222

269

316

363

410

456

8

38

84

132

179

226

274

321

367

415

461

9

42

89

137

184

231

278

326

372

419

.466

10

47

94

141

188

236

283

330

377

424

471
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 119

TABLE 19. Converting wheel revolutions into hundredths of a mile Continued. 

. CIRCUMFERENCE OF WHEEL, 11.3 FEET.

0

0

10

'20

:to

40

50

CO

70

80

ilO

1

5

51

98

145

191

238

285

332

378

425

2

9

56

103

1.50

196

243

290

336

383

430

a

14

61

108

154

200

248-

294

341

387

434

4

19

65

112

159

205

252

299

346

392

439

»

23

70

117

164

210

257

304

350

397

444

*i

28

74

.122

1.68

215

261

308

355

402

448

7

33

79

126

173

220

266

313

360

406

453

s

37

83

131

178

224

271

318

364

411

458

!)

42

88

135

183

229

276

322

370

416

462

10

47

93

140

187

234

280

327

374

420

467

CIRCUMFERENCE OF WHEEL, 11.4 FEET.

0

0

10

'20

:to

40

60-

00

70

80

00

1

5

50

97

143

190

236

282

329

375

421

2

9

56

102

148

1.95

241

287

333

380

426

8

14

60

1.07

152

199

245

291

338

384

431

4

18

65

111

157

204

250

296

343

389

435

5

23

69

116

162

208

255

301

347

394

440

G

28

74

120

167

213

259

306

352

398

445

7

32

79

125

 171

217

264

310

357

403

' 449

8

37

83

129

176

222

269

315

361

407

454

tt

42

88

134

180

227

273

319

366

412

458

10

46

93

139

185

231

278

324

370

417

463

CIRCUMFERENCE OF WHEEL, 11.5 FEET.

0

0

10

 20

:to

40

50

(10

70

80

HO

1

5

50."

96

142

188

234

280

326

372

418

 >

9

55

101

147

193

239

285

331

377

422

3

14

59

105

151

197

243

289

335

381

427

4

18

63

110

156

202

248

294

340

386

432

o

23

68

114

161

207

252

298

344

390

436

(i

28

72

119

165

211

257

303

349

395

441

7

. 32

- 77

124

170

216

262

308

353

399

445

8

37 '82

128

174

220

266

312

358

404

450

!)

41

87

133

179

225

271

317

363

409

454

10

. 46

92

138

184

229

275

321

367

413

459
120 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 19. Comerting wheel revolutions into hundredths of a mile Continued.

CIRCUMFERENCE OF WHEEL, 11.6 FEET. .

0

0

10

20

30

40

50

60

70

80

90

1

5

50

96

141

187

232

278

323

369

414

2

9

55

100

146

191

237

282

328

373

419

3

14

59

104

150

1.96

241

287

332

378

423

4

18

64

109

.155

200

 246

291

337

. 382

428

5

23

68

114

159

205

250"

296

341

387

432

6

27

73

118

164

209

255

300

346

391

437

7

32

77

123

168

214

259

305

350

396

441

8

36

82

127

173

218

264

309

355

400

446

9

41

87

132

178

223

269

314

360

405

450

10

46

91

136

182

.227

273

318

364

410

455

CIRCUMFERENCE OF WHEEL, 11.7 FEET.

o

0

10

'20

30

40

50

GO

70

80.

90

1

5

50

95

140

185

230

275

320

365

410

2

9

54

99

144

189

235

280

325

370

415

3

13

59

104

149 ,

194

239

284

329

374

419

4

18

63

108

153

198

244

289

334

379

424

5

23

68

113

158'

203

248

293

338

383

.428

0

27

72

117

162

207

253

298

343

388

433

7

32

77

122

167

212

-257

302

347

392

437

8

36

81

126

171

217

262

307

352

397

442

9

41

86

131

176

221

266

311

356

401

446

10

45

90

135

180

225

271

316

361

406

451

CIRCUMFERENCE OF WHEEL, H.8 FEET.

0

0

10

20

30

40

50

GO

70

SO

90

1

4

49

94

139

183

228

273

317

362

407

2

' 9

53

.98

143

187

232

277

321

367

411

3

13

58

103

148

192

237

282

326

372

416

4

18

 62

107

152

197

241

286

330

376

420

5

22

67

112

157

201

246

291

335

380

425

c

27

72

116

161

206

250

295

339

385

429

7

Q906

76

121

165

210

255

300

344

389

434

8

36

80

125

iro

215.

259

304

348

393

438

»

40

* 85

130

174

219

264

309

353

398

443

10

45

89

134

179

223

' 268

313

358

402

447
GANNETT.] GEOORAPfllC ".TABLES AND FORMULAS. 131

TABLE 19. Converting ivheel revolutions into hundredtlis of a mile Continued.

CIRCUMFERENCE OF WHEEL, 11.9 FEET.

0

0

10

20

30

40

50

00

70

80

90

1

4

49

93

138

182

' 226

271

315

360

404

2

9

53

98

1.42

187

231

275

320

364

409

3

13

58'

102

146

191

235

280

324

369

413

4

18

62

107

151

195

240

284

329

373

417

5

22

67

111

155

200

244

289

333

377

422

(i

27

71

115

160

204

249

293

338

382

426

7 

31

76

120

164

209

253

298

342

386

431

8

35

80

124

169

213

258

302

346

391

435

!)

40

84

129

173

218

262

306

350

395

440

10

44

89

133

178

222

266

311

355

399

444

CIRCUMFERENCE OF WHEEL, 12 FEET.

0

0

10

20

30

40

50

00

70

SO

00

1

4

48

91

136

180

224

268

312

' 356

400

2

9

53

96

141

185

229

273

. 317

361

405

:t

13

57

100

145

189

233

277

321

365

409

4

18

62

104

150

194

. 238

281

326

370

414

5

22

66

109

154

198

242

286

330

374

418

(i

26

70

113

158

202

246

290

334

378

422

7

31

75

118

163

207

251

295

339

383

427

8

35

79

122

168

211

255

299

343

388

431

9

'40

84

128

172

216

260

304

348

392

436

10

44 .

88

132 '

' 176

220

264

308

. 352

396

440

CIRCUMFERENCE OF WHEEL, 12.1 FEET.

0

0

10

"0

30

40

50

00

70

80

90

1

4

48

91

135

178

222

266

310

353

397

<j

9

- 53

96

139

183

227

270

31.4

358

401

3

13

57

100

144

187

231

275

318

362

405

4

17

61

105

148

192

235

279

323

366

410

5

22

66

109

 153

196

240

283

327

370

414

0

26

70

113

157

201

244

288

331

 375

419

7

31

75

118

161

205

249

292

336

379

423

. 8

.35

79

122

165

209

253

296

340

384

427

»

39

83

126

170

214

257

301

344

388

432

10

44

87

131'

174

218

262

305

349

392

436
122 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 19. Converting wlieel revolutions into hundredth^ of a mile Continued. 

CIRCUMFERENCE OF WHEEL, 12.2 FEET.

0

0

10

20

ao

40

50

GO

70

80

!»0

1

4

48

91

134

178

221

264

307

351

395

2

9

52

95

138

182

225

268

312

356

399

3

13

56

100

143-

186

230

273

316

359

404

4

17

61

104

147

191

234

277

320

364

. 408

5

22

65

108

151

195

238

281

325

368

412

(i

26

69

7

30

74

' 113 .; 117

156

199

243

286

329

372

417

160

204

247

290

333

377

421

8

35

78

121

165

208

251

294

338

381

425

9

39

82

126

169

212

' 256

299

342

385

429

10

43

87

130

173

216

260

303

346

390

433

After measuring wheel vise nearest tenth for size of wheel.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 123

TABLE 20. Five-place logarithms of natural numbers.

[Fractional change in a number corresponding to a change in its logarithm.]

Computed from the formula,

'AN JiogN

N ~ jt ' 

/<:= modulus of common logarithms = 0.43429448.

For 

A log N 

= 1 unit in

Sixth place ...........

AJV TT

rsrs

TSTS7?

reri-sre

For 

A log N 

= 4 units in

Sixth place ...........

Seventh place .........

. AJV 

N 

(in round 

numbers)
TABLES ANt>

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

0

1 

2 

3

4 

5 

6

7 

8 

9

10

11

12 

13

14 

15 

16

17 

.18 

19

20

21 

22 

23

24 

25 

26

27 

28 

29

30

31 

32 

33

34 

35 

36

37 

38 

39

40

41 

42 

43

44 

45 

46

47 

48 

49

60

N.

L. 0 1 2 34

00 000 30 103 47 712 60 206

00 000 04 139 07 918 11 394 14 613 

30 103 32 222 34 242 36 173 38 021 

47 712 49 136 60 515 51 851 53 148

60 206 61 278 62 325 63 347 64 345 

69 897 70 767 71 600 72 428 73 239 

77 815 78 533 79 239 79 934 80 618

84 510 85 126 85 733 86 332 86 923 

90 309 90 849 91 381 91 908 92 428 

95 424 95 904 96 379 96 848 97 313

00 000 00 432 00 860 01 284 01 703

04 139 04 532 04 922 05 308 05 690 

07 918 08 279 08 636 08 991 09 342 

11 394 11 727 12 057 12 385 12 710

14 613 14 922 15 229 15 534 15 836 

17 609 17 898 18 184 18 469 18 752 

20 412 20 683 20 952 21 219 21 484

23 045 23 300 23 553 23 805 24 055 

25 527 25 768 26 007 26 245 26 482 

27 875 28 103 28 330 28 556 28 780

30 103 30 32,0 30 535 30 750 30 963

32 222 32 428 32 634 32 838 33 041 

34 242 34 439 34 635 34 830 35 025 

36 173 36 361 36 549 36 736 36 922

38 021 38 202 38 382 38 561 38 739 

39 794 39 967 40 140 40 312 40 483 

41 497 41 664 41 830 41 996 42 160

43 136 43 297 43 457 43 616 43 775 

44 716 44 871 45 025 45 179 45 332 

46 240 46 389 46 538 46 687 46 835

47 712 47 857 48 001 48 144 48 287

49 136 49 276 49 415 . 49 554 49 693 

50 515 50 651 50 786 50 920 51 055 

51 851 61 983 52 114 52 244 52 375

53 148 53 275 53 403 53 529 53 656 

54 407 54 531 54 664 54 777 54 900 

55 630 55 751 55 871 55 991 56 110

56 820 56 937 57 054 57 171 57 287 

57 978 58 092 58 206 58 320 58 433 

59 106 59 218 59 329 59 439 59 650

60 206 60 314 60 423 60 531 60 638

61 278 61 384 61 490 61 595 61 700 

62 325 62 428 62 531 62 634 62 737 

63 347 63 448 63 548 63 649 63 749

64 345 64 444 64 542 64 640 64 738 

65 321 65 418 65 614 65 610 65 706 

66 276 66 370 66 464 66 558 66 652

67 210 67 302 67 394 67 486 67 578 

68 124 68 215 68 305 68 395 68 485 

69 020 69 108 69 197 69 285 69 373

69 897 69 984 70 070 70 157 70 243

L. 0 1 '2 \3 .4

5 6 '7 89

69 897 77 815 84 510 90 309 95 424

17 609 20 412 23 045 25 527 27 875 

39 794 41 497 43 136 44 716 46 240 

54 407 55 630 56 820 57 978 59 106

65 321 66 276 67 210 68 124 69 020 

74 036 74 819 75 587 76 343 . 77 085 

81 291 81 954 .82 607 83 251 83 885

87 506 88 081 88 649 89 209 . 89 '763 

92 942 93 450 93 952 94 448 ,94 939 

97 772 98 227 98 677 99 123 "99 564

02 119 02 531 .02 938 03 342 03 743

06 070 06 446 06 819 07 188 07 555 

09 691 10 037 10 380 10 721 11 059 

13 033 13 354 13 672 13 988 14 301

16 137 16 435 16 732 17 026. 17 319 

19 033 19 312 19 590 19 866 20 140 

21 748 22 Oil 22 272 22 531 22 789

24 304 24 551 24 797 ' 25 042 25 285 

26 717 26 951 27 184 27 416 27 646 

29 003 29 226 29 447 29 667 29 885

31 175 31 387 31 597 31 806 32 015

33 244 33 445 33 646 33 846 34 044 

35 218 35 411 35 603 35 793 35 984 

37 107 37 291 37 475 37 658 37 840

38 917 39 094 39 270 39 445 39 620 

40 664 40 824 40 993 41 162 41 330 

42 325 42 488 42 651 42 813 42 975

43 933 44 091 44 248 44 404 44 560 

45 484 45 637 45 788 45 939 46 090 

46 982 47 129 47 276 47 422 47 567

48 430 48 572 48 714 48 855 48 996

49 831 49 969 50 106 50 243 . 60 379 

51 188 51 322 51 455 51 587 51 720 

52 504 52 634 52 763 52 892 53 020

53 782 53 908 54 033 54 158 54 283 

55 023 55 145 55 267 55 388 55 509 

56 229 56 348 56 467 56 585 56 703

57 403 57 519 57 634 67 749 57 864 

58 546 58 659 58 771 58 883 58 995 

69 660 69 770 59 879 59 988 60 097

60 746 60 853 60 959 61 066 61 172

61 805 61 909 62 014 62 118 62 221 

62 839 62 941 63 043 63 144 63 246 

63 849 63 949 64 048 64 147 64 246

64 836 64 933 65 031 65 128 65 225 

65 801 65 896 65 992 66 087 66 181 

66745 66839 66932 67025 67117

67 669 67 761 67 852 67 943 68 034 

68 574 68 664 68 753 68 842 68 931 

69 461 69 548 69 636 69 723 69 810

70 329 70 415 70 501 70 586 70 672

5 6 7 89

0° 1'= 60" S. 4. 68 557 T. 4. 68 557 0° 5' = 300" S. 4. 68 557 T. 4. 68 558 

0 2 =120 4. 68 657 4. 68 557 06 =360 4, 68 557 4. 68 558 

0 3 =180 4. 68 557 4. 68 557 07 =420 4. 68 557 4. 68 558 

0 4 =240 4. 68 557 - 4. 68 558 0 8 =480 4. 68 557 4. 68 558
GANNETT.] CKEOGBAPHIC TABLES AND FOKMULAS. 125 

TABLE 20. Five-place logarithms of natural numbers Continued. .

N.

50

51

52 

53

54 

55 

56

67 

58 

59

00

Cl 

62 

63

64 

65 

66

67 

68 

69

70

.. 71 

72 

73

74 

75

76

77 

78 

79

80

81 

82 

83

. 84 

85 

86

87 

88 

89

!)0

91 

92 

93

94 

95 

96

97 

98 

99

100

N.

L. 0 1 2 3 4

69 897 69 984 70 070 70 157 70 243

70 757 70 842 70 927 71 012 71 096 

71 600 71 684 71 767 71 850 71 933 

72 428 72 509 72 591 72 673 72 754

73 239 73 320 73 400 73 480 73 560 

74 036 74 115 74 194 74 273 74 351 

74 819 74 896 74 974 75 051 ' 75 128

75 587 75 664: 75 740 75 815 75 891 

76 343 76 418 76 492 76 567 76 641 

77 085 77 159 77 232 77 305 77 379

77 815 77 887 77 960 78 032 78 104

78 533 78 604 78 675 78 746 ' 78 817 

79 239 79 309 79 379 79 449 79 518 

79 934 80 003 80 072 80 140 80 209

80618 80686 80754 80821 80889 

81 291 81 358 81 425 81 491 81 558 

81 954 82 020 82 086 82 151 82 217

82 607 82 672 82 737 82 802 82 866 

83 251 83 315 83 378 83 442 83 506 

83 885 83 948 84 Oil 84 073 84 136

84 610 84 572 84 634 84 696 84 757

86 126 85 187 85 248 85 309 85 370 

85 733 85 794 85 854 85 914 85 974 

86 332 86 392 86 451 86 510 86 570

86 923 86 982 87 040 87 099 87 157 

87 506 87 564 87 622 87 679 87 737 

88 081 88 138 88 195 88 252 88 309

88 649 88 705 88 762 88 818 88 874 

89 209 89 265 89 321 89 376 89 432 

89 763 89 818 89 873 89 927 89 982

90 309 90 363 90 417 90 472 90 526

90 849 90 902 90 956 91 009 91 062 

91 381 91 434 91 487 91 540 91 593 

91 908 91 960 92 012 92 065. 92 117

92 428 92 '480 92 531 92 583 92 634 

92 942 92 993 93 044 93 095 93 146 

93 450 93 500 93 551 93 601 93 651

93 952 94 002 94 052 94 101 94 151 

94 448 94 498 94 547 94 596. 94 645 

94 939 94 988 95 036 95 085 95 134

95 424 '95 472 95 521 95 669 95 617

95 904 95 952 95 999 96 047 96 095 

9G 379 96 426 96 473 96 520 96 567 

96 848 96 895 96 942 96 988 97 035

97 313 97 359 97 405 . 97 451 97 497 

97 772 97 818 97 864 97 909 97 955 

98 227 98 272 98 318 98 363 98 408

98 677 98 722 98 767 98 811 98 866 

99 123 99 167 99 211 99 255 99 300 

99 564 99 607 99 651 99 695 99 739

00 000 00 043 00 087 ,.00 130 00 173

L. 0 1 2 3 4

66789

70 329 70 415 70 501 70 586 70 672

71 181 71 265 71 349 71 433 71 517 

72 016 72 099 72 181 72 263 72 346 

72 835 72 916 72 997 73 078 73 159

73 640 73 719 73 799 73 878 73 957 

74 429 74 507 74 586 74 663 74 741 

75 205 75 282 75 358 75 435 75 511

75 967 76 042 76 118 76 193 76 268 

76 716 76 790 76 864 76 938 77 012 

77 452 77 525 77 597 77 670 77 743

78 176 78 247 78 319 78 390 78 462

78 888 78 958 79 029 79 099 79 169 

79 588 79 657 79 727 79 796 79 865 

80 277 80 346 80 414 80 482 80 550

80 956 81 023 81 090 81 158 81 224 

81 624 81 690 81 757 81 823 81 889 

82 282 82 347 82 413 82 478 82 543

82 930 82 995 83 059 83 123 83 187 

83 569 83 632 83 696 83 759 83 822 

84 198 84 261 84 323 84 386 84 448

84 819 84 880 84 942 85 003 85 065

85 431 85 491 85 552 85 612 85 673 

86 034 86 094 86 153 86 213 86 273 

86 629 86 688 86 747 86 806 86 864

87 216 87 274 87 332 87 390 87 448 

87 795 87 852 87 910 87 967 88 024 

88 366 88 423 88 480 88 536 88 593

88 930 88 986 89 042 89 098 89 154 

89 487 89 542 89 597 89 653 89 708 

90 037 90 091 90 146 90 200 90 255

90 580 90 634 90 687 90 741 90 795

91 116 91 169 91 222 91 275 91 328 

91 645 91 698 91 751 91 803 91 855 

92 169 92 221 92 273 92 324 92 376

92 686 92 737 92 788 92 840 92 891 

93 197 93 247 93 298 93 349 93 399 

93 702 93 752 93 802 93 852 93 902

94 201 94 250 94 300 94 349 94 399 

94 694 94 743 94 792 94 841 94 890 

95 182 95 231 95 279 95 328 95 376

95 665 95 713 95 761 95 809 95 856

96 142 96 190 96 237 96 284 96 332 

96 614 96 661 96 708 96 755 96 802 

97 081 97 128 97 174 97 220 97 267

97 543 97 589 97 635 97 681. 97 727 

98 000 98 046 98 091 98 137 98 182 

98 453 98 498 98 643 98 588 98 632

98 900 98 945 98 989 99 034 99 078 

99 344 99 388 99 432 99 476 99 520 

99 782 99 826 99 870 99 913 99 957

00 217 00 260 00 303 00 346 00 389

5 6-7 8 9

0° 9' = 540" S. 4. 68 557 T. 4. 68 558 0° .13' = 780" S. 4. 68 557 T. 4. 68 558 

0 10 = 600 4. 68 557 4. 68 558 0 14 = 840 4. 68 657 4. 68 558 

0 11 = 660 4. 68 557 4. 68 558 0 15 = 900 4. 68 557 4. 68 558 

0 12 = 720 4. 68 657 4. 68 558 0 16 = 960 4. 68 557 4. 68 558
126 GEOGBAPHIO TABLES AND FORMULAS. [BULL.234. 

TABLE 20. Five-place logarithms of natural numbers^ Continued:

N.

100

101

102 

103

104 

105 

106

107 

108 

109

110

111

112

113

114 

115 

116

117 

118 

119

120

121

122

123

124 

125 

126

127 

128 

129

130

131

132

133

134 

135 

136

137 

138 

139

140

141

142

143

144 

'145 

146

'147 

148 

149

150

N.

L. 0 1 2 .3 4

00 000 043 087- 130 173

432 475 518 661 604

860 903 945 988,030 

01 284 326 368 410 452

70:5 745 787 828 870 

02 119 160 202 243 284 

531 572 612 653 694

' 938 979 ,019 ,060 ,100 

03 342 383 423 463 503 

743 782 822 862 902

04 139 179 218 258 297

532 571 610 650 689

922 961 999 ,038 ,077

05 308 346 385 423 461

690 729 767 805 843 

06 070 108 145 183 221 

446 483 521 558 595

819 856 893' 930 96? 

07188 225 262 298 335 

555 591 628 664 700

918 954 990 ,027 ,063

08 279 314 350 386 422

636 672 707 743 778

991 ,026 ,061 ,096 ,132

09 342 377 412 447 482 

691 726 760 795 830 

10 037 072 106 140 175

380 415 449 483 517 

721 765 789 823 857 

11 059 093 126 160 193

394 428 461 494 528

727 760 793 826 860

12 057 090 123 156 189

385 418 450 483 616

710 743 775 808 840 

13 033 066 098 130 162 

' 354 386 418 450 481

672 704 735 7fi7 799 

988 ,019 ,051 ,082 ,114 

14 301 333 364 395 426

613 644 675 706 737

922 953 983 ,014 ,045

15 229 259 290 320 351

534 .664 594 625 655

836 866 897 927 957 

16 137 167 197 227 256 

435 465 495 524 554

732 761 791 820 850 

17026 056 085 114 143 

319 348 377 406 435

609 638 667 696 725

L.. 0 1 2 3 4

5 6 7,. 8 -.9

217 260 303 - 346 389

647 689 732 775 817

',072 ,115 ,157 ,199 ,242 

494 536 578 620 662

912 953 995 ,036 ,078 

325 366 407 449 490 

735 776 . 816 857 898 '

,141 ,181 ,222 ,262 ,302 

543 583 623 663 703 

941 981 ,021 ,060 ,100

336 376 415 454 493

727 766 805 844 883

,115 ,154 ,192 ,231 ,269

500 538 576 614 652

881 918 956 994 ,032 

258 296 333 371 408 

633 670 707 744 781

,004 ,041 ,078 ,115 ,151 

372 408 445 482 518 

737 773 809 846 882

,099 ,135 ,171 ,207 ,243

458 493 529 665 600

814 849 884 920 955

,167 ,202 ,237 ,272 ,307

517 552 587 621 656 

864 899 934 968 ,003 

209 243 278 312 346

551 585 619 653 687 

890 924 958 992 ,025 

227 261 294 327 361

561 594 628 661 694

893 926 959 992 ,024

222 254 287 320 352

548 581 613 646 678

872 905 937 969 ,001 

194 226 258 290 322 

513 545 577 609 640

830 862 893 925 956 

,145 ,176 ,208 ,239 ,270 

457 489 620 .551 582

768 799 829 860 891

,076 ,106 ,137 ,168 ,198

381 412 442 473 503

685 715 746 776 806

987 ,017 ,047 ,077 ,107 

286 316 346 376 406 

584 613 643 673 702

879 909 938 967 997 

173 202 231 260 289 

464 493 522 551 580

754 782 811 840 869

56789

P. P.

44 43 42

1 

2

3 

4 

5 

6

7 

8 9

4,4 4,3 4,2 

8,8 8,6 8,4

13,2 12,9 12,6 

17,6 17,2 16,8 

22,0 21,5 21,0 

26,4 25,8 25,2

30,8 30,1 29,4 

35,2 34,4 33,6 

39,6 38,7 37,8

41 40 39

1

2

3 

4 

5 

6

7 

8 

9

4,1 4,0 3,9

8,2 8,0 7,8

12,3 12,0 11,7 

16,4 16,0 15,6 

20,5 20,0 19,5 

24,6 24,0 23,4

28,7 28,0 27,3 . 

32,8 32,0 31,2 

36,9 36,0 35,1

38 37 36

1

2

.3 

4 

5 

6

7 

8 

9

3,8 3,7 3,6

7,6 7,4 7,2

11,4 11,1 10,8 

15,2 14,8 14,4 

19,0 18,5 18,0 

22,8 22,2 21,6

26,6 25,9 25,2 

30,4 29,6 28,8 

34,2 33,3 32,4

35 34 33

1

2

3 

4 

5 

6

7 

8 

9

3,5 3,4 3,3

7,0 6,8 6,6

10,5 10,2 9,9 

14,0 13,6 13,2 

17,5 17,0 16,5 

21,0 20,4 19,8

24,5 23,8 23,1 

28,0 27,2 26,4 

31,5 30,6 29,7

32 31 30

1

2

q

4

5 

6

7 

8 

9

3,2 3,1 3,0

6,4 6,2 6,0

Q fi 04 Q ft

12,8 12,4 12,0 

16,0 15,5 15,0 

19,2 18,6 18,0

22,4 21,7 21,0 

25,6 24,8 24,0 

28,8 27,9 27,0

P. P.

0° 16' = 960" S. 4. 68 557 T. 4. 68 558 0° 21' = 1260" S. 4. 68 557 T. 4. 68 558

0 17 = 1020 4. 68 557 4. 68 558 0 22 = 1320 4. 68 557 4. 68 558

0 18 = 1080 4. 68 557 4. 68 558 0 23 = 1380 4. 68 557 4. 68 558

0 19 = 1140 4. 68 557 4. 68 558 0 24 = 1440 4. 68 557 4. 68 558

0 20 = 1200 4. 68 557 4. 68 558 0 25 = 1500 4. 68 557 4. 68 558
GANNETT.] GEOGKAPHIC TABLES AND FOBMULAS. 127 

TABBE . 20. Five-place logarithms of natural numbers Continued.

N.

150

151 

152 

153

154 

155 

156

157 

158 

159

100

161 

162 

163

164 

 165 

166

167 

168 

169

170

171 

172 

173

174 

175 

176

177 

178 

179

180

181 

182 

183

184 

1.85 

186

187 

188 

189

190

191 

192 

193

194 

195 

196

197 

198 

199

200

N.

L. 0 1 2 3 4

17 609 638 667 696 725

' 898 926 955 984 #013 

18 184 213 241 270 298 

469 498 526 554 583

752 780 808 837 865 

19 033 061 089 117 145. 

312 340 368 396 424

590 618 645 673 700 

866 893 921 948 976 

20 140 167 194 222 249

412 439 466 493 520

683 710 737 763 790 

952 978 #005 #032 #059 

21 219 245 272 299 325

484 511 537 664 590 

748 776 801 827 854 

22 Oil 037 063 089 115

272 298 324 350 376 

531 557 583 608 634 

789 814 840 866 891

23 045 070 096 121 147

300 325 350 376 401 

553 578 603 629 654 

805 830 855 880 905

24 055 080 105 130 155 

304 329, 353 378 403 

551 576 601 625 650

797 822 846 871 895 

25 042 066 091 115 139 

285 310 334 358 3S2

527 551 575 600 624

768 792 816 840 864 

26 007 031 055 079 102 

245 269 293 316 340

482 505 529 553 576 

7.17 741 764 788 811 

951 975 998 #021 #045

27 184 207 231 254 277 

416 439 462 485 508 

646 669 692 715 738

875 898 921 944 9(j7

28 103 126 149 171 194 

330 353 375 398 421 

556 678 601 623 646

780 803 825 847 870 

29 003 026 048 070 092 

226 248 270 292 314.

447 469 491 513 535 

667 688 710 732 754 

885 907' 929 951 973

30 103 125 146 168 190

L. 0 1 2 3 4

 5

754

6789

782 811 840 869

#041 #07Q #099 #127 #156 

327 355 384 412 441 

611 639 667 696 724 .

893 921 949 977 #005 

173 201 229 257 285 

451 479 507 535 562

728 756 783 811 838 

#003 #030 #058 #086 #112 

276 303 330 358 385

548 575 602 629 656

817 844 871 898 925 

#085 #112 #13? #165 #192 

352 378 405 431 458

. 617 643 669 696 722 

880 906 932 958 985 

141 167 194 220 246

401 427 453 479 505 

660 686 712 737 '763 

917 943 968 994 #019

172

426 

679 

930

180 

428 

674

920 

164 

406

648

198 223 249 274

452 477 502 528 

704 729 764 779 

955 980 #005 #030

204 229 254 279 

452 477 502 527 

699 724 748 773

944 969 993 #018 

188 212 237 261 

431 455 479 503

672 696 720 744

888 912 935 959 -983 

126 150 174 198 221 

364 387 411 435 458

600 '623 647 670 694 

834 858 881 905 928 

#068 #091 #114 #138 #161

300 323 346 370 393 

531 554 577 600 623 

761 784 807 830 852

989 #012 #035 #058 #081

217 240 262 285 307 

443 466 488 611. 533 

668 691 713 735 758

892 914 937 959 981 

115 137 159 181 203 

336 358 380 403 425

557 579 601 623 645 

776 798 820 842 863 

994 #016 #038 #060 #081

211

5

0° 25' = 1500" S. 4. 68 657 T. 4. 68 558 

0 26 = 1560 4. 68 557 4. 68 558 

0 27 = 1620 4. 68 557 4. 68 558 

0 28 .= 1680 4. 68 557 4. 68 658 

0 29 = 1740 4. 68 557 4. 68 558

233 255 -276 298

6789

P. P.

1 

2 

3 

4 

5 

6 

7 

8 

9

1

2 

3

4 

5 

6 

7 

8 

9

1 

2 

3 

4 

5 

6 

7 

8 

9

1 

2 

3 

4 

5 

6 

7 

 8 

9

29 28

2,9 2,8 

5,8 5,6 

8,7 8,4 

11,6 1.1,2 

14,5 14,0 

17,4 16,8 

20,3 19,6 

23,2 22,4 

26,1 25,2

27 20

2,7 2,6 

5,4 5,2 

8,1 7,8 

10,8 10,4 

13,5 13,0 

16,2 15,6 

18,9 18,2 

21,6 20,8 

24,3 23,4

25

1 ' 2,5 

2 5,0 

3 7,5 

4 10,0 

5 12,5 

6 15,0 

7 17,5 

8 20,0 

9 22,5

24 23

2,4 2,3 . 

4,8 4,6 

7,2 6,9 

9,6 9,2 

12,0 11,5 

14,4 13,8 

16,8 16,1 

19,2 18,4 

21,6 20,7

22 ' 21

2,2 2,1 

4,4 4,2 

6,6 6,3 

8,8 8,4 

11,0 10,5 

13,2 12,6 

15,4 14,7 

17,6 16,8 

19,8 18,9

P. P.

0° 30' = 1800" S. 4. 68 557 T. 4. 68 559 

0 31 = 1860 4. 68.657 4. 68 559 

0 32 = 1920 4. 68 557 4. 68 559 

0 33 = 1980 4. 68 557 4. 68 659 

0 34 = 2040 4. 68 657 4. 68 669
128 GEOGRAPHIC TABLES AND FORMULAS. [BOLL.234. 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

200

201

202

203

204 

205 

206

207 

208 

209

210

211

212

213

214

215 

216

217 

218

219

220

221

222

223

224

225

.226

227

228

229

230

231

232

233

234

235

236

237

238

239

240

241

242

243

244

245

 246

247

248

249

250

N.

L. 0 . 1 2 3 .4

30 103 125 146 168 190

320 341 363 384 406

5a5 557 578 600 621

750 771 792 814 835

. 963 984 ,006 ,027 ,048 

31 175 197 218 239 260 

387 408 429 450 471

597 618 . 639 660 681 

806 827 848 869 890 

32 015 035 056 077 098

222 243 263 284 305

428 449 469 490 510

634 654 675 695 715

838 858 879 899 919

33 041 062 082 102 122

244 264 284 304 325 

445 465 486 606 526

646 666 686 706 726 

846 866 885 905 925

34 044 064 084 104 124

242 262 282 301 321

439 459 479 498 518

635 655 674 694 713

830 850 869 889 908

35 025 044 064 083 102

218 238 257 276 295

411 430 449 468 488

603 622 641 660 679

793 813 832 851 870

984 ,003 ,021 ,040 ,059

36 173 192 211 229 248

361 380 399 418 436

549 568 586 605 624

736 754 773 791 810

922 940 959 977 996

37 107 125 144 162 181

291 310 328 346 365

475 493 511 530 548

658 676 694 712 731

840 858 876 894 912

38 021 039 057 075 093

202 220 238 256 274

382 399 417 435 453

561 578 596 614 632

739 757 775 792 810

917 934 952 970 987

39 094 111 129 146 164

270 287 305 322 340

445 463 480 498 515

620 637 655 672 690

794 811 829 846 863

L. 0 1 2 3 .4

5

211

428

643

856

6789

233 255 276 298

449 471 492 514

664 685 707 728

878 899 920 942

,069 ,091 ,112. ,133 ,154 

281 302 323 345 366 

492 513 534 555 576

702 

911 

118

325

531

736

940

143

345 

546

746 

945

143

341

537

733

928.

122

315

507

698

889

723 744 765 785 

931 952 973 994 

139 160 181 201

346 366 387 408

552 572 593 613

756 777 797 818

960 980 ,001 ,021

163 183 20? 224

365 385 405 425 

566 586 606 626

766 786 806 826 

965 985 ,005 ,025

163 183 203 223

361 380 400 420

557 577 596 616

753 772 792 811

947 967 986 ,005

141 160 180 199

334 353 372 392

526 545 564 583

717 736 755 774

908 927 946 965

,078 ,097 ,116 ,135 ,154

267

455

642

829

286 305 324 342

474 493 511 530

661 680 . 698 717

847 866 884 903

,014 ,033 ,051 ,070 ,088

199

383

566

749

931

112

292

471

650

828

218 236 254 273

401 420 438 457

585 603 621 639

767 785 803 822

949 967 985 ,003

130 148 166 184

310 328 346 364

489 507 525 543

668 686 703 721

846 863 881 899

,005 ,023 ,041 ,058 ,076

182

368

533

707

881

5

0° 33' = 1980" S. 4. 68 557 T. 4. 68 559

0 34 = 2040 4. 68 557 4. 68 559

0 35 =2100 4. 68 557 4. 68 659

0 36 = 2160 4. 68 557 4. 68 559

0 37 = 2220 4. 68 557 4. 68 659

199 217 235 252

375 393 410 428

650 568 585 602

724 742 759 777

898 915 933 950

6 789

P. P.

22 21

1 2,2 2,1 '

2 4,4 4,2

3 6,6 6,3 

4 8,8 8,4 

5 11,0 10,5 

6 13,2 12,6

7 15,4 14,7 

 ' 8 17,6 16,8 

9 19,8 18,9

20

 I O A

2

3 

4

5 

6

7 

8

g

^,u 

4,0

6,0

Q f\ o,u 

10,0 

12,0

14,0 

16,0 is """n

19

1 -1 " 

2

3 

4

5

6

7

9 ..,..

J-,3

3,8

6,7 

7,6

0 f\ y/o 

11,4

13,3 

15,2

171

18

1 1 °

2

3 

4

5

6

7

<)

3^

5,4-

n >

/,/

9,0

10,8

12,6 

14,4

. Ifi * , 0

17

1 i -' '

2

3 

4

5

6

7 

8

9

3,4

5,1 

6,8

8,5

10,2

11,9 

13,6

is. a

P. P.

0° 38' = 2280" S. 4. 68 557 T. 4. 68 659

0 39 = 2340 4. 68 557 4. 68 559

0 40 = 2400 4. 68 557 4. 68 559

0 41 = 2460 4. 68 556 4. 68 560

' 0 42 = 2520 4. 68 656 4. 68 660 '
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. .Five-place logarithms of natural numbers Continued.

129

N.

250

251 

252 

253

254 

255 

256

257 

258 

259

200

261 

262 

263

264 

265 

266

267 

268 

269

270

271 

272 

273

274

276 

276

277 

278 

279

280

281 

282 

283

284 

285 

286

287 

288 

289

200

291 

292 

293

294 

295 

296

297 

298 

299.

300

N.

L. 0 1 . ' 2 3 4

39794 811 829 846 863

967 985 ,002 ,019 ,037 

40 140 157 175 192 209 

312 329 346 364 381

483 500 618 535 552 

654 671 688 705 722 

824 841 858 875 892

993 ,010 ,027 ,044 ,061 

41 162 179 196 212 229 

330 347 363 380 397

497 514 531 547 564

664 681 697 714 731 

830 847 863 880 896 

996 ,012 ,029 ,045 ,062

42 160 177 193 210 ' 226 

325 341 357 374 390 

488 504 521 537 553

651 667 684 700 716 

813 830 846 862 '878 

975 991 ,008 ,024 ,040

43 136 152 169 185 201

297 ' 313 329 345 361 

457 473 489 505 521 

616 632 648 664 680

775 791 807 823 838 

933 949 965 981 996 

44 091 107 122 138 164

248 264 279 295 311 

404 420 436 451 467 

560 576 592 607 623

716 731 747 762 778

871 886 902 917 932 

45 025 040 Q56 071 086 

179 194 209 225 240.

332 347 362 378 393 

484 §00 515 530 545 

637 652 667 682 697

788 803 818 834 849 

939 954 969 984 ,000 

46 090 105 120 135 150

240 255 270 285 300

389 404 419 434 449 

538 553 668 583 598 

687 702 716 731 746

835 850 864 879 894 

982 997 *012 ,026 ,041 

47 129 144 169 173 188

276 290 305 319 334 

422 436 . 461 465 480 

567 582 596 611 625

712 727 741 756 770

L. 0 1 2 3 4

5

881

6789

898 915 933 950

,054 ,071 #088 #106 ,123 

226 243 261 278 295 

398 415 432 449 466

569 58G 603 620 637 

739 756 773 790 807 

909 926 943 960 976

,078 ,095 #111 ,128 ,145 

246 263 280 296 313 

414 430 447 464 481

581 597 614 631 647

747 764 780 797 814 

913 92§ 946 963 979 

$078 ,095 ,111 ,127 ,144

243 259 275 292 308 

406 423 439 455 472 

570 586 602 619 635

732 749 765 781 797 

894 911 927 943 959 

#056 #072 ,088 ,104 ,120

217

377 

 537 

696

854 

,012, 

170

326 

483 

638

233 249 265 281

393 409 425 441 

553 569 584 600 

712 727 743 759

870 886 902 917 

028 ,044 ,059 ,075 

185 201 217 232

342 358 373 389 

498 514- 529 545 

654 669 685 700

793 809 824 840 855

948 963 979 994 ,010 

102 117 133 '148 163 

255 271 286 301 317

408 423 439 454 469 

561 576 591 606 621 

712 728 743 758 773

864 879 894 909 924 

,015 ,030 ,045 ,060 ,075 

165 180 195 210 225 .

315 330 345 359 374

464 479 494 509 523 

613 627 642 657 672 

761 776 790 805 820

909 923 938 953 967 

,056 ,070 ,085 ,100 ,114 

202 217 232 246 261

349 363 378 392 <I07 

494 509 524 538 553 

640 654 669 '683 698

784

5

0° 41'= 2460" S. 4. 68 556 T..4. C8 560 

0 42 = 2520 4. 68 656 4. 68 560 

0 43 = 2580 4. 68 656 4. 68 560 

0 44 = 2640 4. 68 556 4. 68 560 

0 45 = 2700 4. 68 556 4. 68 560

799 813 828 84 '2

6789

P. P.

1 

2 

3 

4 

5 

6 

7 

8 

9

1

2 

3 

4 

5 

6 

7 

8 

9

1

2 

3 

4 

5 

6 

7 

8 

9

1 

2 

3 

4 5 

6 

7 

8 9

1 

2 

3 

4 

5 

6 

7 

8 9

18

1,8 

3,6 

5,4 

7,2 

9,0 . 

10,8 

12,6 

14,4 

16,2

17

1,7 

3,4 

5,1 

6,8 

.8,5 10/2 ' 

11,9 

13,6 

15,3

10

1,6 

3,2 

4,8 

6,4 

8,0 

9,C 

11,2 

12,8 

14,4 .

16

1,5 

3,0 

4,5 

6,0 

7,5 

9,0 

10,6 

12,0 

13,5

14

1,4 2,8 - 

4,2 5,6 ' 

7,0 

8,4 

9,8 

11,2 

12,6

P. P.

0° 40' = 2760" S. 4. 68 556 T. 4. 68 560 

0 47 = 2820 4. 68 656 4. 68 560 

0 48 = 2880 4. 68 556 4. 68 660 

0 49 = 2940 4. 68 556 4. 68 560 

0 50 = 3000 4. 68 556 4. 68 561

Bull. 234 04 9
130 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

300

301

302

303

304

305

306

307

308

309

310

311

312

313

314

316

316

317

318

319

320

. 321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

350

N.

L. 0 1 2 34

47 712 727 741 756 770

857 871 885 900 914

48 001 015 029 044 058

144 159 173 187 202

287 302 316 330 344

430 444 458 473 487

572 586 .601 615 629

714 728 742 756 770

855 869 883 897 911

996 *010 ,024 *038 *052

49 136 150 164 178 192

276 290 304 318 332

415 429 443 457 471

554 568 582 596 610

693 707 72] 734 ' 748

831 845 859 872 886

969 982 996 *010 *024

50 106 120 133 147 161

243 256 270 284 297

379 393 406 420 433

515 529 542 556 569

651 664 678 691 705

786 799 813 826 840

920 934 947 961 974

51 055 068 081 095 108

188 202 215 228 242

322 335 348 362 375

455 468 481 495 508

587 601 614 627 640

720 733 746 759 772

851 865 878 891 -904

983 996 *009 *022 *035

52 114 127 140 153 166

244 257 270 284 297

375 388 401 414 427

. 504 517 530 543 556

634 647 660 673 686

763 776 789 802 815

892 905 917 930 943

53 020 033 046 058 071

148 161 173 186 199

275 288 301 314 326

403 415 428 441 453

529 542 555 567 580

656 668 681 694 706

782 794 807 820 832

908 920 933 945 958

54 033 045 058 070 083 '

158 170, 183 195 208

283 295 307 320 332

407 419 432 444 456

L. 0 1 2 3 4

5

784

929

073

216

359

501 643'

785

926

6789

799 813 828 842

943 958 972 9'86

087 101 116 130

230 .244 259 273

373 387 -401 416

515 530 544 558

657 671 686 700

799 813 827 841

940 954 968 982

*OG6 *080 *094 *108 *122

206

346

485

624

762

900

*037 *

174

311

447

583

718'

853

987 *

121

255

388

521

654

786

917

*048 *

179

310

440

569

699

827

956

084

212

339

466

693

719

845

970

095

220

345

469

5

0° 50' = 3000" S. 4. 68 556 T. 4. 68 561

0 51 = 3060 4. 68 556 4. 68 561

0 52 = 3120 4. 68 556 4. 68 561

0 53 = 3180 4. 68 556 4. 68 561

0 64 = 3240 4. 68 556 4. 68 561

220 234 248 262

360 374 388 402

499 513 527 541

638 651 665 679

776 790 803 817

914 927 941 955

051 *065 *079 *092

188 202 215 229

325 338 352 365

461 474 488 501

596 610 623 637

732 745 759 772

866 880 893 907

001 *014 *028 *041

135 148 162 175

268 282 295 308

402 .415 428 441

534 548 561 574

667 680 693 706

799 812 825 838

930 943 957 970

061 *075 *088 *101

192 205 218' 23]

323 336 349 362

453 466 479 492

682 595 608 621

711 724 737 750

840 853 866 879

969 982 994 *007

097 110 122 135

224 237 250 263

352 364 377 390

479 491 504 517

605 618 631 643

732 744 757 769

857 870 882 '895

983 995 *OOS *020

108 120 133 145

233 245 258 270

357 370 382 394

481 494 '506 518

6789

P.- P.

16

1

2

3

4

5

6

7

8

1,5

3,0

4,5

6,0

7,5

9,0 

10,5

12,0

9 13,0

1 t

i

1

3

4 

5

6

7

8

9

A."*.

1,4

2,8

4,2

5,6 

7,0

8,4

Q y/o ft

11,2

12,6

13

1

2

qo

4

6

7

8

9

1,3

2,6

Q o,yO

5,2

6,5

7,8

9,1

10,4

11/7 .'

12

. 1

2

3

4

5

6

7

8

9

1.2

2,4

3,6

4,8

6,0

7,2

8)4

9,6

10,8.

P. P.

0° 55' = 3300" S.4. 68 556 T.4. 68 561

0 56 ='3360 4.68556 4.33561

0 57 = 3420 4. 68 555 4. 68 561

0 58 = 3480 4.' 68 555 4. 68 562

0 59 = 3540 4.' 68 555 . 4. 68 562
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Five-place logarithms of natural numbers Continued.

131.

N.

350

351

352

853

354

355

356

857

358

359

360

361

362

363

364

865

366

367

368

369

870

371

372

373

374

375

376

377 

378

379

380

381

382

383

384

385

386

387

388

389

390

391

392

. 393

394

395

396

397

39.8

399

400

N.

L. -0-1 2 3 4

54 407 419 432 444 456

531 543 555 568 580

654 667 679 691 704

777, 790 802 814 827

900 913 925 937 949

55 023 035 047 060 072

145 157 169 182 194

267 279 291 303 315

388 400 413 425 437

509 622 634 546 658

630 642 654 666 678

751 763 775 787 799

871 883 895 907 919

991 *003 ,,.015 #027 #038

56 110 122 134 146 158

229 241 253 265 277

348 360 372 384 396

467 478 490 502 514

585 597 608 620 632

703 714 726 738 750

' 820 832 844 855 867

937 949 961 972 984

57 054 066 078 089 101

171 183 194 206 217

287 299 310 322 334

403 415 426 438 449

519 530 542 553 565

634 646 657 669 680 

749 761 772 784 795

864 875 887 898 910

978 990 *001 *013 *024

58 092 104 115 127 138

206 218 229 240 252

320 331 343 354 365

433 444 ,456 467 478

546 557 569 580 591

659 670 681 692 704

771 782 *794 805 816

883 894 906 917 928

995 #006 #017 #028 *040

59 106 118 129 140 151

218 229 240 251 262

329 340 351 362 373

 439 450 461 472 483

550 661 572 583 594

660 671 682 693 704

770 780 791 802 813

879 890 901 912 923

988 999 *010 *021 #032

60 097 108 119 130 141

206 217 228 239-249

L. 0 1 2 3-4

5

469

593

716

839

962

084

206

328

449

570

691

811

931

6789

481 494 506 518

605 617 630 642

728 741 753 765

851 864 876 888

974 986 998 #011

096 108 121 133

218 230 242 255

340 352 364 376

461 473 485 497

582 594 606 618

703 715 727 739

823 835 847 859

943 955 967 979

*050 #062 *074 *086 #098

170

289

407

526

644

761

879

996 *

113

229

345

461

576

692 

807

921

182 194 205 217

301 312 324 336

419 431 443 455

538 549" 561 573

656 667 679 691

773 785 797 808

891 902 914 926

008 *019 *031 *043

124 136 148 159

241 252 264 276

357 368 380 392

473 484 496 507

588 600 611 623

703 715 726 738 

818 830 841 852

933 944 955 967

*035 *047 *058 *070 *081

149

263

377

490

602

715

827

939

161 172 184 195

274 286 297 309

388 399 410 422

501 512 524 535

614 625 636 647

726 737 749 760

838 850 861 872

950 961 973 984

*051 *062 *073 *084 *095

162

273

384

494

605

715

824

934

173 184 195 207

284 295 306 318

395 406 417 428

506 517 528 539

616 627 638 649

726 737 748 759

835 846 857 868

945 956 966 977

*043 *054 »065 *076 *086

152

260

5

0° 58' = 3480" S. 4. 68 555 T. 4. 68 562

0 59 = 3540' 4. 68 555 4. 68 562 

10= 3600 4. -68 555 4. 68 662

1 1 = 3660 4. 68 555 4. 68 562

12= 3720 4. 68 555 4. 68 562

163 173 184 195

271 282 293 .304

6789

P.P.

 o

2 

3

4

K

<J

6

7

8

9 __,.

J./O

2,6 

3,9

5,2

 6,5

7 ft

I/O

9,1

10,4

11.7

12

1

2

3

4

5 

6

7

1,2

2,4

3,6

4,8

6,0

7,2

8,4

9,6

9 J.u,o

11

1 1,1

2

4

6

7 

8

9

2,2 3 s 0,0 

4,4

5,5

6,6

7,7 

8,8

9,9

10

2

3

4

6

7

.L/V

2,0

3,0

4,0

5,0 

6,0

7,0

0 fi O/U

f\ A 9 y/u

P. P.

1° 3' = 3780" S. 4. 68 555 T. 4. 68 562

14= 3840 4. 68 555 4. 68 563 

15= 3900 4. 68 555 4. 68 563

16= 3960 4. 08 555 4. 68 563

17= 4020 4. 68 555 4. 68 563
132 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

400

401

402

403

404

405

406

407

408

409

410

411

412

413

414

415

416

417

418

419

420

421

422

423

424

425

426

427

428

429

430

431

432

433

434

435

436

437

438

439

440

441

442

443

444

445

446

447

448

449

450

N.

L. 0 1 2 3 4

60 206 217 228 239 249

314 325 336 347 358

423 433 444 455 466

531 541 552 563 574

638 649 660 670 681

746 756 767 778 788

853 863 874 885 895

959 970 981 991.*002

61 066 077 087 098 109

172 183 194 204 .215

278 289 300 310 321

384 395 405 416 426

490 500 511 521 532

595 606 616 627 637

700 711 721 731 742

805 815 826 836 847

909 920 930 941 951

62 014 024 034 045 055

118 128 138 149 159

221 232 242 252 263

325 335 346 356 366

428 439 449 459 469

531 542 552 562 572

634 644 655 665 675

737 747 757 767 778

839 849 859 870 880

941 951 961 972 982

63 043 053 063 073 083

144 155' 165 175 185

246 256 266 276 286

347 357 367 377 387

448 458 468 478 488

548 558 568 579 589

649 .659 669 679 689

749 759 769 779 789

849 859 869 879 889

949 959 969 979 988

64 048 058 068 078 088

147 157 167 177 187

. 246 256 266 276 286

345 355 365 375 385

444 454 464 473 483

542 552 562 572 582

640 650 660 670 680

738 748 758 768 777

836 846 856 865 875

933 943 953 963 972

65 031 040 050 060 070

128 137 147 157 167

225 234 244 254 263

321 331 341 350 360

L. 0 12 3 ' 4

5

260

369

477

584

692

799

906

6 7.8 9'

271 282 293 304

379 390 401 412

487 498 509 520

595 606 617 627

703 713 724 735

810 821 831 842

917 927 938 949

*013 *023 *034 *045 *055

119

225

331

437

542

. 648

752

857

962

066

170

273

377'

480

583

685

788

890

130 140 151 162

236 247 257 268

342 352 . 363 374

448 458 469 479

553 563 574 584

658 669 679 690

763 773 784 794

868 878 888 899

972 982 993 *003

076 086 097 107

180 190 201 211

284 294 304 315

387 397 408 418

490 500 511 521

593 603 613 624

696 706 716 726

798 .808 818 829

900 910 921 931

992 .,,002 *012 *022 =,.033

094

195

296

397

498

599

699

799

899

104 114 124 134

205 '215 225 236

306 317 327 337

407 417 428 438

508 518 528 538

609 619 629 639

709 719 729 739

809 819 829 839

909 919 929 939

998 *008 *018 *028 '^038

098

197

296

395

493

591

689

787

885

982

079

176

273

369

5

1° 6' = 3960" S. 4. 68 555 T. 4. 68 563

1 7 = 4020 4. 68 555 4. 68 563

18= 4080 4. 68 55f> 4. 68 563

1 9 = 4140 4. 68 555 4. 68 563

1 10 = 4200 4. 68 554 4. 68 563

108 118 128 137

207 217 227 237

306 316 326 335

404 414 424 434

503 513 523 532

601 611 621 631

699 709 719 729

797 807 816 826

895 904 914 924

992 *002 #011 *021

089 099 108 118

186 196 205 215

283 292 302 312

379 389 398 408

6789

P. P.

1

2

3

4 

5

6

7

9

1

2

3

4

5

6

7

8

9

1

2

3 

4

5 

6

7

8

9

P

11

1,1

2,2

3,3

4,4 

5,6

6,6

7,7 Q Q - o/o

9,9

10'

1,0

2,0

3,0

4,0

5,0

6,0

7,0

8,0 .

9,0

9

0,9

1 Q 1,0

2,7 

3,6

4,5 

5,4

6,3

7,2

8,1

. P.

1° 11'= 4260" S. 4. 68 554 T. 4. 68 564

1 12 = 4320 4. 68 554

1 13 = 4380 4. 68 564

1 14 = 4440 4. 68 554

1 15 = 4500 4. 68 554

4. 68 564

4. 68 564

4. 68 564

4. 68 564
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 133 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

450

451

452

453

454

455

456

457

458

459

460

461

462

463

464

465

466

467

468

469

470

471

472

473

424

475

476

477

478

479

480

481

482

483

484

485

486

487

488

489

490

491

492

493

494

495

496

497

498

499

600

N.

L. 0 1 2 3 4

65 321 331 341 350 360

418 427 437 447 456

514 623 533 643 552

610 619 629 639 648

706 715 725 734 744

801 811 820 830 839

896 906 916 925 935

992 #001 *011 #020 *030

66 087 096 106 115 124

v 181 191 200 210 219

276 285 295 304 314

370 380 389 398 408

464 474 483 492 502

558 567 577 586 596

652 661 671 680 689

745 755 764 773 783

839 848 857 867 876

932 941 950 960 969

67 025 034 043 052 062

117 127 136 145 154

210 219 228 237 247

302 311 321 330 339

394 40? 413 422 431

486 495 504 514 523

678 587 596 605 614

669 679 688 697 706

761 770 779 788 797

852 861 870 879 888

943 952 961 970 979

68 034 043 052 061 070

124 133 142 151 160 '

215 224 233 242 251

305 314 323 332 341

395 404 413 422 431

485 494 502 511 520

574 583 592 601 610

664 673 681 690 699

753 762 771 780 789 

842 851 860 869 878

931 940 949 958 966

69 020 028 037 046 055

108 117 126 135 144

197 205 214 223 232

285 294 302 311 320

373 381 390 399 408

461 469 478 487 496

548 557 566 574 583

636 644 653 662 671

723 732 740 749 758

810 819 827 836 845

897 906 914 923 932

L. 0 1 2 3 4

5 6789

369 379 389 398 408

466 475 485 495 504

562 571 581 591 600

658 667 677 686 696

753 763 772 782 792

849 858 868 877 887

944 954 963 973 982

*039 *049 *058 *068 *077

134 143 163 162 172

229 238 247 257 266-

323 332 34* 351 361

417 427 436 445 455

511 521 530 539 649

605 614 624 633 642

699 708 -717 727 736

792 801 811 820 829

885 894 904 913 922

978

071

164

256

348

440

532

624

715

806

897

988

079

169

260 350'

440

529

619

708.

797

886

975

064

152

241

329

417

504

592

679

767

854

940

5

1° 15'= 4500" S. 4. 68 554 T. 4. 68 564

1 16 = 4560 4. 68 554 4. 68 5a5

1 17 = 4620 4. 68 554 4. 68 565

1 18 = 4680 4. 68 554 - 4. 68 565

1 19 = 4740 4. 68 654 4. 68 565

987 997 *006 *015

080 089 099 108

173 182 191 201

265 274 284 293

357 367 376 385

449 469 468 477

541 550 560 569

633 642 651 660

724 733 742 752

815 825 834 843

906 916 925 934

997 *006 *015 *024

088 097 106 115

178 187 196 205

269 278 287 296

359 368 377 386

449 458 467 476

638 547 556 565

628 637 646 655

717 726 73j 744

806 815 824 833

895 904 913 922

984 993 *002 t011

073 082 090 099

161 170 179 188

249 258 267 276

338 346 355 364

425 434 443 452

513 522 531 539

601 609 618 627

688 697 705 714

775 784 793 801

862" 871 880 888

949 958 966 975

6789

P

1

2

3

4

5

6

7

9

1

2

3

4

5

6

7

8

9

1 

2

4

5 

6

7

8

9

P

P.

10

.1/0

2,0 3,0'

4,0 

5,0

6,0

7,0 Q A

O/U

9,0

9

0,9

1/8

2,7

3,6

4,5

5,4

6,3

7,2

8,1

8

6,8 

1/6

2,4

3,2

4,0 

4,8

5,6

6,4 '

7,2

P.

1° 20'= 4800" S. 4. 68 554 T. 4. 68 565

1 21 = 4860 4. 68 553

1 22 = 4920 4. 68 553

1 23 = 4980 4. 68 553

1 24 = 6040 ' 4. 68 653

4. 68 566

4. 68 566

4. 68 566

4. 68 566
134 GEOGBAPHIC TABLES AND FOKMULAS. [BULt.i34. 

TABLE 20. Five-place logarithms of natural numbers Continued.

N/

500

501

502

503

504

505

506

507

508

509

610

511

512

513

514

515

516

517

5i8

519

520

521

522

523

524

525

526

527

628

529

530

531

532

533

534

635

536

537

538

539

540

541

542

543

544

545

546

547

548

549

550

N.

L. 0 1 2 3 4

69 897 906 914 923 932

984 992 sOOl *010 *018

70 070 079 088 096' 105

157 165 174 183 191

243 252 260 269 278

329 338 346 355 364

415 424 432 441 449

601 509 518 526 535

586 595 603. 612 621

672 680 689 697 706

757 766 774 783 791"

842 851 859 868 876

927 935 944 952 961

71 012 020 029 037 046

096 105 113 122 130

181 189 198 206 214

265 273 282 290 299

349 357 366 374 383

433 441 450 458 466

517 525 533 542 550

600 609 617 625 634

684 692 700 709 717

767 775 784 792 800

850 858 867 875 883

933 941 950 958 966

72 016 024 032 041 049

099 107 115 123 132

181 189 198 206 214

263 272 280 288 296

346 354 362 370 378

428 436 444 452 460

509 518 526 534 542

591 599 607 616 624

673 681 689 697 705

754 762 770 779 787

835 843 852 860 868

916 925 933 941 949

997 *006.*014 *022 *030

73 078 086 094 102 111

159 167 175 183 191.

239 247 255 263 272

320 328 336 344 352

400 408 416 424 432

480 488 496 504 512

560 568 576 584 592

640 648 656 664 672

719 727 735 -743 751

799 807 815 823 830

, 878 886 894 902 910

957 965 973 981 989

74 036 044 052 060 068

L. 0 1 ,2 3 4

6 6789

940 949 ''958 966 975

*027 *036 *044 *053 *062

114 3 22 131 140 148

200 209 217 226 234 ;

286 295 303 312 321

372 381 389 398 406

458 467 475 484 492

544 552 561 569 578

629 ( 38 646 655 663

714 723 731 740 749

800 I 08 817 825 834

885 893 902 910 919

969 978 986 995 *003

054 063 071 079 088

139 147 155 164 172

223 i231 240 248 257

307 315 324 332 341

391 399 408 416 425

475 483 492 500 508

559 567 575 584 592

 642 650 659 667 675

725 734 742 750 759

809 817 825 834 842

892 900 908 917 '925

975 983 991 999 $008

. 057 066 074 082 090

140 ' 148 156 165 173

222 230 239 247 255

304 313 321 329 337

387 395 403 411 419

469 477 485 493 501

550 558 567 575 583

632 640 ' 648 656 665

713 722 730 738 746

'795 803 811 819 827

876 884 892 900 908

957 965 973 981 989

*038 *046 ,054 *062 *070

119 127 135 143 151

199 207 215 223 231

280 288 296 304 312

360 '368 376 384 392

440 448 ^456 464 472

520 528 '536 544 552

600 608 616 624 632

679 '687 695 703 711

759 767 775 783 791

838 846 854 862 870

 918 '926 933 941 949

997 *005 *013 *020 *028

076 .

. 5

1° 23'= 4980" S. 4. 68 553 T. 4. 68 566

1 24 = 5040 4. 68 553 4. 68 566

1 25 = 5100 4. 68 553 4. 68 566

1 26 = 5160 4, 68 553 4. 68 567

1 27 = 5220 4. 68 653 4. 68 567

084 092 099 107

6789

P.

1

2

3

4

6

6

7

8 

9

1

2

3

4

5

6

7

8

9

1

2

3

4

5

6

7

9

P.

P.

9

0,9 

1/8

2,7

3,6

4,5

5,4

6,3

7,2 

8,1

' 

8

0,8

1,6

2,4

3,2

4,0

4,8

5,6

6,4

7,2

7

0,7

1/4

2,1

3^5

4,2

4,9

5,6 

6,3

P.

1° 28' =5280" S. 4. 68 553 T. 4. 68 567

1 29 = 5340 4. 68 553

1 30 = 5400 4. 68 553

1 31 = 5460 4. 68 552

1 32 = 5520 4. 68 552

4. 68 567

4. 68 567

4. 68 668

4. 68 568
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Five-place logarithms of natural numbers Coatinued.

135

N.

560

551

552 553

554

555

556

557

558

559

500

561

562

563

564

566

566

 567

568

569

570

571

572

573

574 575

576

577

578

579

580

581

582

583

584

585

586

587

588

689

500

591

592

593

594

595

596

597

598

599

000

N.

L. 0 1 2 3 4

74 036 044 052 060 068

115 123 131 -139 147

194 202 210 218 225

. 273 280 288 296 304

351 359 367 374 382

429 437 445 463 401

607 515 523 531 639

586 593 001 009 017

003 671 679 687 095

741 749 757 764 772

819 827 834 842 850

896 .904 912 920 927

974 981 989 997 *005

75 051 - 059 066 074 082

128 136 143 151 159

205 213 220 228 236

282 289 297 305 312

358 366 374 381 .38?

435 442 450 458 465

511 519 626 634 542

587 595 . 003 010 618

664 671 679 686 694

740 747 755 762 770

815. 823 831 838 846

891 899 900 914 921

967 974 982 989 997

70 042 050 057 005 072

118 125 133 140 148

193 20Q 208 215 223

268 275 283 290 298

343 350 358 365 373

418 425 433 440 448

492 500 507 515 522'

567 574 582 589 597

641 649 656 004 071

7.16 723 730 738 745

790 797 805 812 819

864 871 879 886 893

938 945 953 960 967

77 012 '019 026 034 041

085 093 100 107 115

159 166 173 181 188

232 240 247 254 262

305 313 320 327 335

379 380 393 401 408

. 452 459 400 474 481

525 532 539 546 554

597 605 612 619 627

670 077 085 692 699

743 750 757 764 772

815 822 830 837 844

L. 0 1 2 3 4

5 6789

076 084 092 099 107

155 162 170 178 186

233 241 249 257 265

312 320 327 335 343

390 398 406 414 421

468 476 484 492 500

547 554 562 570 578

624 032 640 648 656

702 710 718 726 733

780 788 796 '803 811

858 865 873 881 889

935 943 950 958 960

*012 *020 *028 *035 *043

089 097 105 113 120

166 174 182 189 197

243 251 259 266 274

320 328 335 343 351

397 404 412 420 427

473 481 488 496 504

549 557 565 572 580

026 633 641 648 050

702 709 717 724 732

778 785 793 800 808

853 801 868 876 884

929 937 944 952 959

*005 *012 *020 *027 *035

080 087 095 . 103 110

155 163 170 178 185

230 238 245 253 260

305 313 320 328 335

380 388 395 403 410

455 462 470 477 485

530 537 545 552 559

604 612 019 026 034

678 686 693 701 708

753 700 708 775 782

827 834 842 849 850

901 908 916 923 930

975 982 989 997' *004

048 056 063 070 078

122 129 137 144 151

195 203 210 217 225

269 276 283 291 298

342 349 357 364 371 

415 422 430 437 444

488 195 503 510 517

561 568 576 583 590

634 641 648 656 CO?

700 714 721 728 735

779 780 793 801 808

851 859- 866 873 880

5

1° 31' = 5460" S. 4. 68 552 T. 4. 68 568

1 32 = 5520 4. 68 552 . 4. 68 568

1 33 = 5580 4. 68 552 ' 4. 68 568

1 34 = 5040 4. 08 552 4. 08 568

1 35 = 5700 4. 68 552 4. 68 569

6789

P. P.

1 0,8

2 1,6

3 2,4

4 3,2

5 4,0

6 4,8

7 5,0

8 0,4

9 7,2

7

1 0,7

2 1,4

3 2,1

4 2,8

5 3,5

6 4,2

7 4,9 .

8 5,0

9 6,3

P. P.

1° 36' = 5760" S. 4. 68 552 T. 4. 68 569

1 37 =5820 4. 68 552 4. 68 509

1 38 = 5880 4. 08 652 4. 68 569

1 39 = 5940 4. 08 551 4. 68 569

1 40 = COCO 4. 68 551 4. 08 570
136 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

600

C01

602

603

604

605

606

607

608

609

G10

611

612

613

614'

615

616

617

618

619

G20

621

622

623

624

625

626

627

628

629

630

631

632

633

634

635

636

637

638

639

640

641

642

643

644

645

646

647

648

649

650

N.

L. 0 1 23 4

77 815 822 830 837 844

: 887 895 902 909 916

960 967 974 981 988

78 032 039 046 053 061

104 111 118 125 132

176 183 190 197 204

247 254 262 269 276

319 326 333 340 347

390 398 405 412 419

462 469 476 483 490

533 540 547 554 561

604 611 618 625 633

675 682 689 696 704

746 753 760 767 774

817 824- 831 838 845

888 895 902 909 916

958- 965 972 979 986

79 029 036 043 050 057

099 306 113 120 127

169 176 183 190 197 .

239 246 253 260 267 

309 316 323 330 337

379 386 393 400 407

449 450 463 470 477

518 525 532 539 546

588 595 602 609 616

657 664 671 678 685-

727 734 741 748 754

796 803 810 817 824

865 872 879 886 893

.934 941 948 955 962

80 003 010 017 024 030

072 079 085 092 099

140 147 154 161 168

209 216 223 229 230

277 284 291 298 305

346 353 359 366 373

414 421 428 434 441.

482 489 496 502 509

550 . 557 564 570 577

618 625 632 638 645

686 693 699 706 713

754 760 767 774 781

821 828 835 841 848

889 895 902 909 916

956 . 963 969. 976 983

81 023 030 037 043 050

 090 097 104 111 117

158 164 17i 178 184

224 231 238 245 251

291 298 305 311 318

L. 0 1 2 3 4

5

851

924

6789

859 866 873 880

931 938 945 952

996 *003 *010 *017 *025

068

140

211

283

355

426

. 497

569

640

711

781

852

923

075 082 089 097

147 154 161 168

219 226 233 240

290 : 297 305 312

362 369 376 383

433 440 447 455

504 512 519 526

576 583 590 597

647 654 661 668

718 725 732 739

789 796 803 810

859 866 873 880

930 937 944 951

993 *000 *007 *014 *021

064

134

204

'274

344

414

484

553

623

692

761

831

900

969

037

106

175

 243

312

380

448

510

584

652

720

787

855

922

990

057

124

191

258

325

5

1° 40' = 6000" S. 4. 68 551 T. 4. 68 570

1 41 = 6060 4, 68 551 4. 68 570

1 42 = 6120 4. 68 551 4. 68 570

1 43 = 6180 4. 68 551 4. 68 570

1 44 = 6240 4. 68 551 4. 68 571

071 078 085 092

141. 148 155 162

211 218 225 232

281 288 295 302

351 358 365 372

421 428 435 442

491 498 505 511

560 567 574 581

630 637 644 650

699 706 713 720

768 775 782 789

837 844 851 858

906 913 920 927

975 982 989 996

044 051 058 065

113 120 127 134

182 188 1.95 202

250 257 264 271

318 325 332 339

387 393 400 407

455 462 468 475

523 530 536 543

591 598 604 611

659 665 672 679

726 733 740 747

794 801 808 814

862 868 875 882

929 936 943 949

996 *003 ^010 ^017

064 070 077 084

131 137 144 151

198 204 211 218

265 271 278 285

331 338 345 351

0789

P

1

2

3

4 

. 5

6

7

-8

9

1

2

3 

4

5

6

7

9

1

2

3

4 

. 5

6

7

9

P

1° 45' = 6300" S. 4. 68 551 T

1 46 = 6360 4. 68 551

1 47 = 6420 4. 68 550

1 48 =6480 4. 68.550

1 49 = 6540 4. 68 550

P.

0,8

1,6

2,4

3,2 

4,0

4,8

5,6

6,4

7,2

7

0,7

1/4

2,1

0 O

^/O

O K

OfJ

4,2

4,9 - 

5,6

f\ 0

U,o

6

0,6

1,2

1,8

2,4 

3,0

3,6 .

4,2

4,8 

5,4

P.

. 4. 68 571

4. 68 571

4. 68 572

4. 68 572

4. 68 572
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 137 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

<i50

051 

052 

053

654' 

055 

656

667 

658 

659

(MO

661 

662 

663

664 

665 

666

667 

068 

669

070

671 

672 

673

674 

675 

676

677 

678 

679

(ISO

081 

082 

083

084 

085 

086

687 

688 

689

BOO

691 

692 

093

094 

095 

690

097 

698 

699

700

N;

L. 0 1-2 3 4

81 291 298 305 311 318

358 365 371 378 385 

425 431 438 445 451 

491 498 505 611 518

558. 564 571 578 684 

024 031 637 644 651 

690 697 704 710 717

757 763 770 776 783 

823 829 836 842 849 

889 895" 902 908 915

954 961 968 974 981

82 020 027 033 04(1 046 

086 092 099 105 112 

151 158 164 171 178

217 223 230 236 243 

282 289 295 302 308 

347 354 360 367 373

413 419 426 432 439 

478 484 491 497 504 ' 

543 649 656 562 569

'607 614 620 627 633

672 679 685 692 698 

737 743 750 756 763 

802 808 814 821 827

806 872 879 885 892 

930 937 943 950 950 

 995 *001 *008 *014 *020

83 059 005 072 078 085 

123 129 130 142 149 

387 193 200 200 213

251 257 264 270 276

315 321 327 334 340 

378 385 391 398 404 

442 448 455 401 407

506 512 518 526 531 

569 575 582 588 594 

032 039 045 651 058

096 702 708 7] 5 721 

759 765 771 778 784 

822 828 835 841 847

885 891 897 904 910

948 954 960 967 . 973 

84 Oil 017 023 029 036 

073 080 "086 092 098

136 142 148 155 161 

198 205 211 '217 223 

261 267 273 280 286

323 330 336 342 348 

386 392 398 404 410 

448 454 460 466 473

510 516 522 528 535

L. 01234

56789

325 331 338 345 351

 391 398 405 411 418 

458 465 471 478 485 

525 531 538 544 551

591 598 604 611 617 

057 664 671 677 684 

723 730 737 743 750

790 796 803 809 816 

856 862 869 875 882 

921 928 '935 941 948

987 994 *000 *007 *014

053 060 066 073 079 

119 125 132 138 X45 

184 191 197 204 210

249 266 263 269 276 

315 321 328 334 341 

380 387 393 400 406

445 452 458 405 471 

510 517 523 530 536 

575 582 588 595 '001

640 046 653 659 660

705 711 718 724 730 

769 776 782 789 795 

834 840 847 853 800

898 905 911 918 924 

903 969 975 982 988 

*027 *033 *040 *046 *052

091 097 104 110 117 

155 161 168 174 181 

219 225 232 238 245

283 289 290 302 308

347 353 359 366 372" 

410 417 423 429 436 

474 480 487 493 499

537 544 550 556 503 

001 007 013 020 020 

664 070 677 683 689

727 734 740 746 753 

790 797 803 809 810 

853 860 866 872 879

916 923 929 935 942

979 985 992 998 *004 

042 048 055 061 007 

105 111 117 123 130

107 173 180 186 192 

230 236 242 248 255 

292 298 305 311. 317

354 301 307 373 379 

417 423 429 435 442 

479 485. 491 497 504

541 547 553 559 500

56789

'P. P.

7

1 0,7 

2 1,4 

3 2,1 

4 2,8 

5 3,5 

0 4,2 

7 4,9 

8 5,0 

9 6,3

0

1 0,6 

2 1,2 

3 1,8 

4 2,4 

5 3,0 

6 3,0 

7 4,2 

8 4,8 

9 5,4

.

P. P.

1° 48' = 6480" S. 4. 68 550 T. 4. 68 572 1° 53' = 6780" S. 4. 68 550 T. 4. 68 573 

'1 49 = 6540 4. 68 550 4. 68 572 1 54 = 6840 4. .68 550 4. 08 573 

1 50 = 6000 4. 08 550 4. C8 572 1 55 = 0900 4. 08 549 4. 68 574 

1 51 = 6660 4. 68 650 4. 68 673 1 50 = 6960 4. 68 549 4. 08 574 

1 52 =0720 4. OS 550 4. 68 573 1 57 =7020 4. 68 5-19 4. 08 574
138 GEOGRAPHIC TABLES AND FORMULAS. [uuLL.234. 

TABLE 2Q.^-Fiye-place logarithms of natural numbers Continued.

N.

700

701 

702 

703

' 704 

705 

706

707 

708 

709

710

. 711 

712 

713

714 

715 

716

717 

 718 

719

720

721 

722 

723

724 

725 

726

727 

728 

729

730

731 

732 

733

734 

735 

736

737 

738 

739

740

741 

742 

743

744 

745 

746

747 

748 

449

760

N.

L. 0 1 2 3 4

84 510 516 522 528 535

572 578 584 590 597 

634 640 646 652 658 

696 702 708 714 720

757 763 770 776 782 

819 825 831 837 844 

880 887 893 899 905

942 948. 954 960 967 

85 003 009 016 022 028 

065 071 077 083 089

126 132 138 144 150

187 193 199 205 211 

248 254 260 266 272 

309 315 321. 327 333

370 376 382 388 394 

431 437 443 449 455 

491 497 503 509 516

552 558 564 570 576 

612 618 625 631 637 

673 679 685 691 697

733 739 745 751 757

794 800 806 812 818 

854 800 866 872 878 

914 920 926 932 938

974 980 986 992 998 ' 

86 034 040 046 052 058 

094 100 106 112 118

153 159 165 171 177 

213 219 225 231 237 

273 279 285 291 297

332 338 344 350 350

392 398 404 410 415 

451 457 463 469 475 

510 516 522 528 534

570 576 581 587 593 

629 635 641 646 652 

688 694 700 705 711

747 753 759 764 ' 770 

806 812 817 823 829 

864 870 876 882 888

923 929 935 941 947

982 988 994 999 *005 

87 040 046 052 058 064 

099 105 111 116 '122

157 163 169 175 181 

216 221 227 233 239 

274 280 286 291 297

332 338 344 349 355 

390 390 402 408 413 

448 454 460 466 471

506 512 518 523 529

L. 0 1 2 3 4

5 6789

541 547 653 559 566

603 609 615 621 628 

665 671 -677 683 689 

726 733 739 745 751

788 794 800 807 813 

850 856 862 868 874 

911 917 924 930 936

973 979 985 991 997 

034 040 046 052 058 

095 101 -107 114 120

150 103 169 175 181

217 224 230 236 242 

278 285 291. 297 303 

339 345 352 358 364

400 406 412 418 425 

461 467 473 479 485 

522 528 534 540 546

582 588 594 600 606 

643 649 655 661 667 

703 709 715 721 727

763 769 775 781 788

824 830 836 842 848 

884 890 896 902 908 

944 950 956 962 968

*004 *010 *016 ,,,022 *028 

064 070 076 082 088 

124 130 136 141 .147

183 189 195 201 207 

243 249 255 261 267 

303 308. 314 320 326

362 368 374 380 386

421 427 433 439 445 

481 487 493 499 504 

540 546 552 558 564

599 605 611 617 623 

658 664 670 676 682 

717 723 729 735 741

776 782 788 794 800 

835 841 847 853 859 

894 900 906 911 917

953 958 964 970 976

*011 *017 *023 *029 *035 

070 075 081 087 093 

128 134 140 146 151

186 192 198 204 210 

245 251 256 262 268 

303 309 315 320 326

361 367 373 379 384 

419 425 431 437 442 

477 483 489 495 500

535 541 547 552 558

5

1° 56' = 6960" S. 4. 68 549 T. 4. 68 574 

1 57 = 7020 4. 68 549 4. 68 574 

1 58 =7080 4. 68 549 4. 68 575 

1 59 =7140 4. 68 549 4. 68 575 

2 0 = 7200 4. 68 549 4. 68 575

6789

P

1 

2 

3 

4 

5 

6 

7 

8 

9

1 

2 

3 

4 

5 

6 

7 

8 

9

1 

2 

3 

4 

5 

6 

7 

 8- 

9

P

P.

7

0,7 

1,4 

2,1 

2,8 

3,5 

4,2 

4,9 

5,6 

6,3

«

0,6 

1,2 

1,8 

2,4 

3,0 

3,6 

4,2 

.4,8 

5,4

5

0,5 

1,0 

1,5 

2,0 

2,5 

3,0 

3,5 

4,0 

4,5

.P.

2° 1' = 7260" S. 4. 68 549 T. 4. 68 575 

22= 7320 4. 68 548 4. 68 570 

23= 7380 4. 68 548 4. 68 576 

24= 7440 4. 68 548 4. 68 576 

25= 7500 4. 68 548 4. 68 577
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Five-place logarithms of natural-numbers Continued.

139

N.

750

751

752

753

754

765

756

757

758

759

7«0

761

762

763

704

765

700

767

768

769

770

771

772

773

774

775

776

777

778

779

780

781

782

783

784'

785

786

787

788

789

71)0

791

792

793

794

795

796

797

798

799

800

N.

L. 0 1 23 4

87 506 512 518 523 529

564 570 576 581 587

622 628 633 639 645

679 .685 691 697 703

737 743 749 754 760

795 800 806 812 818

852 858 864 869 875

910 915 921 927 933

967 973 978 984 990

88 024 030 036 041 047

081 087 093 098 104

138 144 150 156 161

195 .201 207 213 218

252 268 264 270 275

309 315 321 326 332

366 372 377 383 389

423 429 434 440 446

480 485 491 497 502

536 642 647 553 559

593 598 604 610 615

049 055 000 666 672

705 711 717 722 728

762 767 773 779 784

818 824 829 835 840

874 880 885 891 897

930 936 941 947 953

986 992 997 ,,,003 *009

89 042 048 053 059 064

. 098 104 109 115 120

'154 159 165 170 176

209 215 221 226 232

265 271 276 282 287

321 326 332 337 343

376 382 387 393 398

432 437 443 448 454

487 '492.498 504 509

542 548 653 559 564

697 603 609 614 020

053 658 664 669 675

708 713 719 724 730

763 768 .774 779 785

818 823 829 834, 840

873 878 883 889 894

927 933 938 944 949

982 988 993 998 *004

90 037 042 048 053 059

091 097 102 108 113 -

146 151 157 162 168

200 206 211 217 222

255 260 266 271 276

309 314 320 325 331

L. 0 1 2 3 4

5 6789

535 541 547 552 '558

593 599 604 610 616

651 656 662 668 674

708 714 720 720 731

706 772 777 783 789

823 829 835 '841 846

881 887 892 898 .904

938 944 950 955 961

996 *001 *007 *013 *018

053 058 064 070- 076

110 110 121 127 133

167 173 178 184 190

224 230 235 241 247

281 287 292 298 304

338 343 349 355 300

395 400 406 412 417

451 457 463 468 474

508 513 619 525 530

564 570 576 581 587

621 027 632 638 643

677 683 689 694 700

734 739 745 750 756

790 795 801 807 812

846 852 857 863 868

902 908 913 919 925

958 964 909 975 981

*014 ,,,020 *025 *031 *037

070 070 081 087 092

120 131 137 143 148

182 187 193 198 204

237 243 248 254 200

293 298 304 310 315

348 354 360 305 371

404 409 415 421 426

459 165 470 476 481

515 520 ' 526 531 537

570 575 581 58»i 592

625 331 636 642 647

680 686 691 697 702

735 741 746 752 757

790 796 801 807 812

845 851 856 862 867

900 905- 911 916 922

955 960 966 971 977

*009 064'X* 015 *020'*026 *031

069 075 080 086

119 124 129 135 140

173 179 184 189 195

227 233 238 244 249

282 287 293 298 304

330 342 347 352 358

 5

2° 5'= 7500" S. 4. 68 548 T. 4. 68 577

2 6 = 7560 4. 68 548 4. 68 577

27 = 7620 4. 68 548 4. 68 577

28 = 7680 4. 68 547 4. 68 578

29 = 7740 4. 08 547 4. 68 578

6 '7 8 '9

P. P.

(i

1 0,0 

2 1,2

3 1,8

4 2,4

5 3,0 

6 3,6

7 4,2

8 4,8

9 5,4

5

1 0,5

2 1,0

3 1,5

4 2,0

5 2,5

6 3,0

7 3,5 

8 4,0

9 4,5

P. P.

2° .10'= 7800" S. 4. 68 547 T. 4. 68 578

2 11 = 7860 4. 68 547 4. 68 579

2 12 = 7920 4. 68 547 4. 68 579

2 13 = 7980 4; 68 547 4. 68 579

214 = 8040 4. 68 546 4. 68 579
140 GEOGRAPHIC TABLES AND FOBMULAS. [BULL.234. 

TABLE 20. Five-place logarithms of natural numbers Continued.

'N.

800

801

802

803

804

805

806

807

808

809

810

811

812

813

814

815 816'

817

818

819

820

821

822

823

824

825

826

827

- 828

829

880

831

832

833

834

835

836

837

838

839

840

841 842'

843

844

845

846

847

848

849

850

N.

L. 0 1 23 4

90 309 314 320 325 331

363 369 374 380 385

417 423 428 434 439

472 477 482 488 493.

526 531 536 : 542 547

580 585 590 596 601

634 639 644 650 655

687 693 698 703 709

' 741 747 752 757 763

795 800 806 811 816

849 854 859 865 870

902 907 913 918 924

956 961 966 972 977

91 009 014 020 025 030

062 068 073 '078 084

116 121 126 132 137

169 174 180 185 190

222 228 233 238 243 '

275 281 286 291 297

328 334 339 344 350

381 387 392 397 403

434 440 445 450 455

487 492 498 503 508

540 545 551 556 561

593 598 603 609 614

645 651 656 661 666

698 703 709 714 719

751 756 761 766 772

803 808 814 819 824

855 861 866 871 876

908 913 918 924 929

960 965 971 976 981

92 012 018 023 028 033

065 070 075 080 085

117 122 127 132 137

169 174 179 184 189

221 226 231 236 241

273' 278 283 288 293

324 330 335 340 345

376 381 387 392 397

428 433 438 443 449

480 485 490 495 500

531 536 542 547 552

583 588 593 598 603

634 639 645 650 655

686 691 696 701 706

737 742 747 752 758

788 793 799 804 809

840 845 850 855 860

891 896 901 906 911

942 947 952 957 962

L. 0 L 2 3 4

5 6-7 8 9

336 342 347 352 358

.390 396 401 407 412

445 450 455 461 466

499 504 509 515 520

553 558 563 569 574

607 612 617 623 628

660' 666 671 677 682

714 720 725 730 736

768 773 779 784 789

822 827 832 838 843

875 881 886 891 897

929 934 940 945 950

982 988 993 998 *004

036 041 046 052 057

089 094 100 105 110

142 148 153 158 164

196 201 206 212 217

249 254 259 265 270

302 307 31.2 318 323

'355 360 365 371 376

408 413 418 424 429

461 466 471 477 482

514 519 524 529 535

566 572 577 582 587

619 624 630 635 640

672 677 682 687 693

724 730 735 740 745

777 782 787 793 798

829 834 840 845 850

882 887 892 897 903

934 939 944 950 955

986 991 997 *002 *007

038 )44 049 054 059

091 096 101 106 111

143 148 153 158 163

195 200 205 210 215

247 252 257 262 267

298 304 309 314 319

350 355 361 366 371

402 407 412 418 423

454 459 464 469 474

505 511 516 521 526

557 562 567 572 578

609 614 619 624 629

660 665 670 675 681

711 716 722 727 732

763 768 773 778 783

' 814 819 824 829 834

865 370 875 881 886

916 921 927 932 937

967 973 978 983 988

5

2° 13' = 7980"" S. 4. 68 547 T. 4. 68 579

2 14 =8040 4. 68 546 4. 68 579

2 15 =8100. 4. 68 546 4. .68 580

2 16=8160 4.68546 4.68580 

217= 8220 4. 68 546 4, 68 580

6789

P.P.. r...

G

1 0,6

2 1,2

3 1,8

4 2,4

5 3,0

 6 3,6

7 4,2

8 4,8

9 5,4

5

1 0,5

2 1,0 

3 1,5 '

4 2,0

5 2,5

6 3,0 

7 3,5

8 4,0

9 45

P. P.

2° 18' =8280" S. 4. 68 546 T. 4. 68 581

2 19 =8340 4. 68 546 4. 68 581

2 20 =8400 4. 68 545. 4. 68 582

2 21 -8460 4. 68 545. 4. 68 582 

2 22 =8520 4. 68 545 4. 68 582
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 141 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

850

851

852

853

854

855

856

857

858

859

860

861

862

863

8U4

865

866

867

868

869

870

871

872

873

874

875

876

877

878

879

880

881

882

883

884

885

886

887

888

889

890

891

892

893

894

895

896

897

898

899

«00

N.

L. 0 1 2 3 4

92 942 947 952 957 962

993 998 ,003 ,008 ,013

93 044 049 054 059 064

095 100 105 110 115

146 151 156 161 166

197 202 207 212 217

247 252 258 263 268

298 303 308 313 318

349 354 359 364 369

399 404 409 414 420

450 455 460 465 470 

500 505 510 515 520

651 556 561 566 571

601 606 611 6.16 621

651 656 661 666 671

702 707 712 717 722

752 757 762 767 772

802 807 812 817 822

852 857 862 867 872

902 907 912 917 922

952 957 962 967 972

94 002 007 012 017 022

052 057 062 067 072

101 106 111 116 121

151 156 161 166 171

201 206 211 216 221

250 255 260 265 270

300 305 310 315 320 '

349 354 359 364 369

399 404 409 414 419

448 453 458 463 468

498 503 507 512 517

547 552 557 -562 567.

596 601 606 611 616

645 650 655 660 665

694 699 704 709 714

743 748 753 758 763

792 797 802 807 812

841 846 851 856- 861

890 895 900 905 910

939 944 949 954 959

988 993 998 ,002 ,007

95 030 041 046 051 050 .

085 090 095 100 105

134 139 143 148 153

182 187 192 .197 202

231 236 240 245 250 _

279 284 289 294 299

328 332 337 342 347

376 381. 386 390 395

424 429 434 439 444

L. 0 1 2 3 4

5 6 7 8' 9

967 973 978 983 988

,018 ,024 ,029 *034 ,039

009 075 080 085 090

120 125 131. 136 141

171 176 181 186 192

222 227 232 237 242

273' 278 283 288 293

323 328 334 339 344

374 379 384 389 394

425 430 435 440 445

475 480 485 490 495

526 531 536 541 546

576 581 586 591 596

626. 631 636 641 646

676 682 687 692 697

727 732 737 742 747

777 782 787 792 797

827 832 837 842 847

877 882 887 892 897

927 932 937 942 947

977 982 987 992 997

027 032 037 042 047

077 082 086 091 090

126 131 136 141 146

176 181 186 191. 196

226 231 236 240 245

275 280 285 290 295

325 330 ' 335- 340 345

374 379 384 389 394

424 129 433 438 443

473 478 483 488 . 493

522 527 532 537 542

571 576 581 580 591.

021 626 630 635 040

670 675 680 685 689

719 724 729 734 738

768 773 778 783 787

817 822 827- 832 836

866 871 876 880 885

915 919 924 929 934

963- 968 973 978 983

,012 ,017 ,022 *027 ,032

061 306 071 075 080

109 114 119 124 129

158 163 168 173 .177

207 211 2.10 221 220

255 260 205 270 274

303 308 313 318 323

352 357 361 366 371

400 405 410 415 419

448 453 458 463 468

5

2° 21' = 8460" S. 4. 68 545 T. 4. 68 582

2 22 =8520 4. 68 545 4. 68 582

2 23 = 8580 4. 68 545 4. 68 583

2 24 = 8640 . 4. 68 545 4. 68 583

2 25 = 8700 4. 68 545 ' 4. 68 583

6789

P

1

2

3 

45"

6

7

9

1

2

3 

4

5

6

 7

8

-

1

2

3

4 

5

0

7

8

9

P

2° 26' = 8760" S. 4. 68 544 '

2 27 = 8820 4. 68 544

2 28 = 8880 4. 68 544

2 29 =. 8940 4. 68 544

2 30 = 9000 4. 68 544

P.

0

0,6

1,2

1,8 

2,4

3,0

4,2

4,8 '

5,4

5

0,5

1,0

1,5 

2,0

3^0'

3,5 

4,0

4,5

-

4

0,4

A Q

V,0 . 1,2

1,0 

2,0

2,4

2,8

3,2

3,6

P.

P 4. 68 584

4. 68 584

4. 68 584

4. 68 585

4. 68 585
142 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234 

TABLE 20. Five-place logarithms of natural numbers Continued.

N.

900

901 

902 

903

904 

905 

906

907 

908 

909

910

911 

912 

913

914 

915 

916

917 

918 

919

920

921 

922 

923

924 

925 

926

927 

928 

929

930

931 

932 

933

934 

935 

936

937 

938 

939

940

941 

942 

943

944 

945 

946

947 

948 

949

950

N.

L. 0 1 2 3 4

95 424 429 434 439. 444

472 477 482 487 492 

521 525 530 535 540 

569 574 578 583 588

617 622 626 631 636 

665 670 674 679 684 

713 718 722 727 732

761 766 770 775 780 

809 813 818 823 828 

856 ' 861 866 871 875

904 909 914 9] 8 923

' 952 957 961 966 971 

999 *004 *009 *014 *019 

96 047 052 057 061 066

095 099 104 109 114 

142 147 162 156 161 

190 194 199 204 209

237 242 246 251 256 

284 289 294 298 303 

332 '336 341 346 350

379 384 388 393 398

426 431 435 440 445 

473 478 483 487 492 

520 525 530 534 539

567 572 577 581 586 

614 619 624 628 633 

' 661 666 670 675 680

708 713 717 722 727 

755 759 764 769 774 

802 806 811 816 820

848 853 858 862 867

895 900 904 909 914 

942 946 951 956 960 

988 993 997 *002 *007

97 035 039 044 049 053 

-081 086 090' 095 100 

128 132 137 142 146

174 179 '183 188 192 

220 225 230 234 239 

267 271 276 280 285

313 317 322 327 331

359 364 368 373 377 

405 410 414 419 424 

451 456 460 465 470

497 502 506 511 516 

543 548 552 557 562 

589 '594 598 603 607

635 640 644 649 653 

681 685 690 695 699 

727 731 736 . 740 745

772 777 782 786 791

L. 0 1 2 3 4

5 6 78.9

448 453 458 463 468

497 501 506 511 516 

545 550 554 559 564 

593 598 602 607 612

641 646 650 655 660 

689 694 698 703 708 

737 742 746 751 756

785 789 794 799 804 

832 837 842 847 852 

880 885 890 895 899

928 933 938 942 947

976 980 985 990 995 

*023 *028 *033 ,,,038 ,042 

071 076 080 085 090

118 123 128 133 137 

166 171 175 180 185 

213 218 223 227 232

261 265 270 275 280 

308 313 317 322 327 

355 360 365 369 374

402 407 412 417 421

450 454 459 464 468 

497 501 506 511 515 

544 548 553 558 562

591 595 600 605 609 

638 642 647 652 656 

685 689 694 699 703

731 736 741 745 750 

778 783 788 792 797 

825 830 834 839 844

872 876 881 886 890

918 923 928 932 937 

965 970 974 979 984 

#011 *016 *021 *025 *030

058 063 067 072 077 

104 109 114 118 123 

151 155 160 165 169

197 202 206 211 216 

243 248 253 257 262 

290 294 299 304 ' 308

336 340 345 350 354

382 387 391 396 400 

428 433 437 442 447 

474 479 483 488 493

520 525 529 534 539 

566 571 575 580 585 

612 617 621 626 630

658 663 667 672 676 

704 708 713 717 722 

749 754 769 763 768

795 800 804 809 813

56789

P. P.

5

1 0,5 

2 1,0 

3 1,5 

4 2,0 

5 2,5 

6 3,0 

7 3,5 

8 4,0 

9 4,6

4

1 0,4 

2 0,8 

3 1,2 

4 1,6 

5 2,0 

6 2,4 

7 2,8 

8 3,2 

9 3,6 .

P.P.

2° 30' = 9000" S. 4. 68 544 T. '4. 68 585 2° 35' = 9300" S. 4. 68 543 T. 4. 68 587 

2 31 = 9060 4. 68 544 4. 68 585 2 36 = 9360 - 4. 68 543 4. 68 587 

2 32 = 9120 4. 68 543 4. 68 586 2 37 = 9420 4. 68 542 4. 68 588 

2 33 =9180 . 4. 68 543 4. 68 586 2 38 =9480 4. 68 542 4. 68 688 

2 34 = 9240 4. 68 643 4. 68 587 2 39 = 9540 4, 68 542 4. 68 588
GANNETT.] 'GEOGRAPHIC- TABLES AND FOEMULAS. 143 

TABLE 20. Five-place-logarithftis of natural numbers Continued.

N.

050

951

952

953

954

955

956

957

958

959

060

961

962 

963

964

965

966

967

968

969

070

971

972

973

974

975

976

 977

978

979

080

981

982

' 983

984

985

986

987

988

989

900

991

992

993

994

995

996

997

998.

999

1000

N.

L. 0 1 2 3 4

97 772 777 782 786 791

818 823 827 832 836

864 868 873 877 882

909 914 918 923 928

955 959 964 968 973

98 000 005 009 014 019

046 050 055 069 064

091 096 100 105 109

137 141 146 150 155

182 186 191 195 200

227 232 236 241 245

272 277 281 286 290

318 322 327 331 336 

363 367 372 376 381

408 412 417 421 426

453 457 462 466 471

498 502 507 511 516

543 647 552 556 561'

588 592 597 601 " 605

632 637 641 646 650

677 682 686 691 695

722 726 731 735 740

767 771 776 780 784

811 816 820 825 829

856 860 865 869 874

900 905 909 914 918

945 949 954 958 963

989 994 998 *003 *007

99 034 038 043 047 052

078 083 087 092 096

. .123 127 131 136 140

167 171 176 180 185

211 216 220 224 229

255 260 264 269 273

300 304 308 313 317

344 348 352 357 361

388 392 396 401 405

432 436 441 445 449

476 480 484 489 493

520 524 528 533 537

564 568 572 577 581

607 612 616 621 625

651 656 660 664 669

695 699 704 708 712

739 743 747 752 756

782 787 791 795 800

826 830 835 839 843

870 874 878 883 887

913 917 922 926 930

957 961 965 970 974

00 000 004 009 013 .017

L. 0 1 2 3 4

5

795

 841

886

932

978

023

068

114

159

204

250

295

340 

385

430

475

520

565

610

655

700

744

789

834

878

923

967

6789

800 804 809 813

845 850 855 859

891 896 900 905

937 941 946 950

982 987 991 996

028 032 037 041.

073 078 082 087

118 123 127 132

164 168 173 177

209 214 218 223

254 259 263 268

299 304 308 313

345 349 354 358 

390 394 399 403

435 439 444 448

480 484 489 493

525 529 534 538

570 574 579 583

614 619 623 628 .

659 664 668 673

704 709 713 717

749 753 758 762

793 798 802 807

838 843 847 851

883 887 892 896

927 932 936 941

972 976 981 985

*012 #016 #021 #025 *029

056

100

061 065 069 074

105 109 114 118

145 149 154 158 162

189 193 198 202 207

233 238 242 247 251

277 282 286 291 295

322 326 330 335 339

366 370 374 379 383

410 414 419 423 427

454 458 463 -467 471

498 502 606 511 515

642 646 550 555 559

585 590 594 599 603

629 634 638 642 647

673 677 682 686 691

717 721 726 730 734

760 765 769 774 778

804 808 813 817 822

848 852 856 861 865

891 896 900 904 909

935 939 944 948 952

S 978 983 987 991 996

022 026 030 035 039

6

2° 38' = 9480" S.'4. 68 542 T. 4. 68 588

2 39 - 9540 4. 68 542 4. 68 588

2 40 = 9600 4. 68 542 . 4. 68 689

2 41 =9660 4. 68 542 4. 68 589

2 42 = 9720 4. 68 541 4. 68 590

6789

P.P.

5

1 0,5 

2 1,0

3 1,5

4 2,0

5 2,5

6 3,0

7 3,5 

8 4,0

9 4,5

4

1 0,4

2 0,8

3 1,2

4 1,6

5 2,0

6 2,4

7 2,8'

8 3,2

9 3,6

P. P.

2° 43'= 9780" S. 4. 68 541 T. 4. 68 590

2 44 = 9840 4. 68 541 4. 68 590

2 45 = 9900 . 4. 68 541 4. 68 591.

2 46 = 9960 4. 68 541 4. 68 591

2 47 = 10020 4. 68 540 4. 68 592
144 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

Formula for using quantities 8 and T: 

log sin a = log a" + S. 

log tan a log a" + T. 

log cot a a. c. log a"'-\- a. c. log T.

log a" = log sin a /S = log tan a T.

log cos a = log (90° - a)" + & 

log cot a = log (90° - a)" + T. 

log tan « = a. c. log (90° a)" + a. c. log T.

log (90° - a)" = log cos a - 8 = log cot a T.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 145

TABLE 21. Five-place logarithms of circular functions, expressed in arc and time. 

Oh 0°

m. s.

0 0 

4 

8 

12 

16

0 20 

24 

28 

32 '36

0 40 

44 

48 

52 

56

1 0 

4 

8 

12 

16

1 20 

24 

28 

32 

36

1 40 

44 

48 

52 

56

2 0 

4 

8 

12 

16

2 20 

24 

28 

32 

36

2 40 

44 

48 

52 

56

3 0 

4 

8 

.12 

16

3 20 

24 

28 

32 

.36

3 40 

44 

48 

52 

66

4 0

'

0

1 

2 

3 

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

61

52 

53 

54

55 

56 

57 

58 

59

CO

L. Sin.

6.46 373 

6.76 476 

6. 94 085 

7.06 579

7. 16 270 

7. 24 188 

7. 30 882 

7.36 682 

7. 41 797 '

7. 46 373 

7. 50 512 

7. 54 291 

7.57 767 

7. 60 985

7. 63 982. 

7. 66 784 

7. 69 417 

7.71 900

7. 74 248 

7. 76 475 

7. 78 594 

7.80 615 

7.82 545 

7.84 393

7. 86 166 

7. 87 870 

7. 89 509 

7.91 088 

7. 92 612

7. 94 084 

7. 95 508 

7. 96 887 

7. 98 223 

7. 99 520

8. 00 779 

8. 02 002 

8. 03 192 

8. 04 350 

8. 05 478

8.06 578 

8.07 650 

8.08 696 

8.09 718 

8. 10 717

8. 11 693 

8. 12 647 

8. 13 581 

8.14 495 

8. 15 391

8. 16 268 

8.17 128 

8.17 971 

8. 18 798 

8. 19 610

8. 20 407 

8.21 189 

8.21 958 

8.22 713 

8.23 456

8. 24 186

L. Cos.

d.

30103 

17609 

12494 

9691

7918 

6694 

5800 

5115 

4576

4139 

3779 

3476 

3218 

2997

2802 

2633 

2483 

2348 

2227

2119 

2021 

1930 

1848 

1773

1704 

1639 

1579 

1524 

1472

1424 

1379 

1336 

1297 

1259

1223 

1190 

1158 

1128 1100-

1072 

1046 

1022 

999 

976

954 

934 

914

896

877

860 

843 

827 

812 

797

782 

769 

755 

743 

730

d.

L. Tang.

 6.46 373 

6. 76 476 

6. 94 085 

7. 06 579

7.16 270 

7. 24 188 

7. 30 882 

7.36 682 

7.41 T97

7.46 373 

7.50 512 

7.54 291 

7.57 767 

7. 60 986

7. 63 982 

7. 66 785 

7. 69 418 

7. 7.1 900 

7. 74 248

7. 76 476 

7. 78 595 

7. 80 615 

7.82 546 

7. 84 394

7. 86 167 

7. 87 871 

7. 89 510 

7. 91 089 

7.92 613

7. 94 086 

' 7. 95 510 

7. 96 889 

7. 98 225 

7. 99 522

8. 00 781 

8. 02 004 

8. 03 194 

8. 04 353 

8. 05 481

8. 06 581 

8.07 653 

8.08 700 

8.09 722 

8. 10 720

8.11 696 

8.12 651 

3. 13 585 

8. 14 500 

8. 15 395

8. 16 273 

8.17 133 

8.17 976 

8.18 804 

8. 19 616

8.20 413 

8.21 195 

8.21 964 

8.22 720 

8.23 462

8. 24 192

|L. Cotg.

C. d.

30103 

17609 

12494 

9691

7918 

6694 

5800 

5115

4576

4139 

3779 

3476 

3219 

2996

2803 

2633 

2482 

2348 

2228

2119 

2020 

1931. 

:f848 

1773

1704 

1639 

1579 

1524 

1473

1424 

1379 

1336 

1297 

1259

1223 

1.190 

1159 

1128 

1100

1072 

1047 

1022 

998 

976

955 

934 

915

895 

878

860 

843 

828 

812

797

782 

769 

756 

 742 

730

c. d.

L. Cotg.

3. 53 627 

3. 23 524 

3. 05 915 

2. 93 421

2. 83 730 

2.75 812 

2. 69 118 

2. 63 318 

2. 58 203

2. 53 627 

2. 49 488 

2. 45 709 

2.42 233 

2. 39 014

2. 36 018 

2. 33 215 

2.30582 

2.28 100 

2. 25 752

2. 23 524 

2. 21 405 

2. 19 385 

2. 17 454 

2. 15 606

2. 13 833 

2. 1.2 129 

2. 10 490 

2.08 911 

2. 07 387

2. 05 914 

2. 04 490 

2.03 111 

2.01 775 

2. 00 478

1.99 219 

1.97 996 

1. 96 806 

1. 95 647 

1. 94 519

1. 93 419 

1. 92 347 

1.91 300 

1. 90 278 

1.89 280

1. 88 304 

1.87 349 

1.86 415 

1. 85 500 

1.84 605

1.83 727 

1.82 867 

1. 82 024 

1.81 196 

1. 80 384

1. 79 587 

1. 78 805 

1. 78 036 

1.77 280 

1.76.538

1.75 808

L. Tang.

L. Cos.

0.00 000 

0. 00 000 

0.00 000 

0. 00 000 

0. 00 000

0. 00 000 

0. 00 000 

0. 00 000 

0. 00 000 

0. 00 000

0. 00 000 

0. 00 000 

0. 00 000 

0. 00 000 

0. 00 000

0. 00 000 

0. 00 000 

9. 99 999 

9. 99 999 

9. 99 999

9. 99 999 

9. 99 999 

9. 99 999 

9. 99 999 

9.99 999

9. 99 999 

9. 99 999 

9. 99 999 

9. 99 999 

9. 99 998

9. 99 998 

9. 99 998 

9.99 998 

9. 99 998 

9.' 99 998

9.99 998 

9. 99 998 

9. 99 997 

9. 99 997 

9. 99 997

9. 99 997 

9. 99 997 

9. 99 997 

9. 99 997 

9. 99 996

9.99 996 

9.99 996 

9.99 996 

9. 99 996 

9. 99 996

9. 99 995 

9. 99 995 

9.99 995 

9.99 995 

9. 99 895

9. 99 994 

9. 99 994 

9. 99 994 

9.99 994 

9. 99 994

9. 99 993

L. Sin.

60

59 '58 

67 

56

55 

54 

53 

62 

51

50

49 

48 

47 

46

45 

44 

43 

22 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8

7 

6

5 

4 

3 

2 

1

0

'

60 0 

66 

52 

48 

44

59 40 

36 

32 

28 

24

69 20 

16 

12 

8 

4

59 0 

.56 

52 

48 

44

58. 40 

36 

32 

28 

24

58 20 

16 

12 

8 

4

58 0 

56 

52 

48 

44

57 40 

36 

32 

28 

24

57 20 

16 

12 

8 

4

57 0 

66 

52 

48 

44

56 40 

36 

32 

28 

24

56 20 

16 

12 

8 

4

66 0

m. s.

Bull. 234 04 89C
146 ' GEOGEAPHIC TABLES AND FOEMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Oh 1°

m. S.

4 0 

4 

8 

12 

16

4 20 

24 

28 

32 

36

4 40

44 

48 

52 

56

5 0 

4 

8 

12 

16

5 20 

24 

28 

32 

36

5 40 

44 

48 

52 

56

6 0 

0 4 

8 

12 

16

6 20 

24 

28 

32 

 36

6 40 

44 

48 

52 

56

7 0 

4 

8 

12 

16

7 20 

24 

28 

32 

36

7 40 

44 

48 

52 

56

8 0

'

0'1 

2 

3

. 4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

1.8 

19

L'O

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

56 

57 

58 

69

60

L. Sin.

8. 24 186 

8.24 903 

8. 25 609 

8.26 304 

8.26 988

8.27 661 

8.28 324 

8.28 977 

8.29 621 

8. 30 255

8. 30 879 

8. 31 495 

8. 32 103 

8. 32 702 

8. 33 292

8. 33 875 

8. 34 450 

8. 35 018 

8. 35 578 

8. 36 131

8. 36 678 

8.37 217 

8.37 750 

8. 38 276 

8. 38 796

8. 39 310 

8. 39 818 

8. 40 320 

8. 40 816 

8.41 307

8.41 792 

8. 42 272 

8.42 746 

8.43 216 

8.43 680

8. 44 139 

8. 44 594 

8. 45 044 

8. 45 489 

8.45 930

8.46 366 

8.46 799 

8.47 226 

8. 47 650 

8. 48 069'

8. 48 485 

8. 48 896 

8.49 304 

8. 49 708 

8. 50 108

8. 50 504 

8. 50 897 

8. 51 287 

8. 51 673 

8. 52 055

8. 52 434 

8. 52 810 

8.53 183 

8. 53 552 

8. 53 919

8. 54 282

L. Cos.

d.

717 

706 

695 

684

673

663 

653 

644 

634

616 

608 

599 

590

575 

568 

560 

553

547

539 

533 

526 

520

514

508 

502 

496 

491

485

480 

474 

470 

464

455 

450 

445 

441

433 

427 

424 

419

411 

408 

404 

400

393 

390 

386 

382

376 

373 

369 

367

d.

L. Tang.

8. 24 192 

8. 24 910 

8.25 616 

8. 26 312 

8. 26 990

8.27 669 

8.28 332 

8. 28 986 

8. 29 629 

8. 30 263

8.30 888 

8. 31 505 

8.32 112 

8.32 711 

8. 33 302

8. 33 886 

8.-34 461 

8. 35 029 

8. 35 590 ' 

8. 36 143

8. 36 689 

8.37 229 

8.37 762 

8. 38 289 

8. 38 809

8. 39 323 

8. 39 832 

8. 40 334 

8. 40 830 

8.41 321

8. 41 807 

8.42 287 

8.42 762 

8. 43 232 

8.43 696

8.44 156 

8. 44 611 

8. 45 061 

8.45 507 

8.45 948

8.46 385 

8.46817 

8. 47 245 

8.47 669 

8. 48 089

8.48 505 

8.48 917 

8. 49 325 

8.49 729 

8. 50 130

8. 50 527 

8. 50 920 

8.51 310 

8.51 696 

8. 52 079

8. 52 459 

8. 52 835 

8.53 208 

8.53 5^8 

8. 53 945

8, 54 "308

L. Cotg.

c. d.

718 

706 

696

684

663 

654 

643 

634

617 

607 

599 

591

575 

568 

 561 

553

540 

533 

527 

520

509 

502 

496 

491

480 

475 

470 

464

460

455 

450 

446 

441

432 

428 

424 

420-

412 

408 

404 

401

393 

390 

386 

383

376 

373 

370 

367

c. d.

L. Cotg.

1.75 808 

1. 75 090 

1. 74 384 

1.73 688 

1. 73 004

1. 72 331 

1. 71 668 

1.71 014 

1, 70 371 

1. 69 737

1.69 112 

1. 68 495 

1. 67 888 

1. 67 289 

1. 66 698

1. 66 114 

1. 65 539 

1. 64 971 

1. 64 410 

1. 63 857

1.63 311 

1.62 771 

1. 62 238 

1.61 711 

1. 61 191

1.60 677 

1.60 168 

1.59 666 

1.59 170 

1.58 679

1. 58 193 

1. 57 713 

1. 57 238 

1. 56 768 

1. 56 304

1. 55 844 

1. 55 389 

1.54 939 

1. 54 493 

1. 54 052

1.53 615 

1. 53 183 

1.52 755 

1. 52 331 

1.51 911

1.51 495 

1.51 083 

1.50 675 

1.50 271 

1.49 870

1.49 473 

1.49 080 

1. 48 690 

1. 48 304 

1.47 921

1.47 541 

1.47 165 

1.46 792 

1.46 422 

1. 46 055

1.45 692

L. Tang.

L. Cos.

9. 99 993 

9.99 993 

9.99 993 

9. 99 993 

9. 99 992

9. 99 992 

9. 99 992 

9.99 992 

9. 99 992 

9. 99 991

9. 99 991 

9.99 991 

9. 99 990 

9. 99 990 

9. 99 990

9. 99 990 

9. 99 989 

9. 99 989 

9. 99 989 

9. 99 989

9. 99 988 

9. 99 988 

9. 99 9S8 

9. 99 987 

9.99 987

9. 99 987 

9. 99 986 

9. 99 986 

9. 99 986 

9.99 985

9. 99 985 

9. 99 985 

9. 99 984 

9. 99 984 

9.99 984

9. 99 983 

9. 99 983 

9. 99 983 

9. 99 982 

9. 99 982

9.99 982 

9. 99 981 

9. 99 981 

9. 99 981 

9. 99 980

9. 99 980 

9. 99 979 

9. 99 979 

9.99 979 

9. 99 978

9.99 978 

9. 99 977 

9. 99 977 

9. 99 977 

9.99 976

9. 99 976 

9. 99 975 

9. 99 975 

9.99 974 

9. 99 974

9. 99 974

L. Sin.

60

59

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

'42 43 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

56 0 

56 

52 

48 

44

55 40 

36 

32 

28 

24

55 20 

16 

12 

8 

4

55 - 0 

56 

52 

48 

44

54 40 

36 '32 

28 

24

54 20 

16 

12

8 

4

54 0 

56 

52 

48 

44

53 40 

36 

32 

28 

24

53 20 

16 

12 

8 

4

53 0 

56 

52 

48 

44

52 40 

36 

32 

28 

24

52 20 

16 

12

8 

4

52 0

in. s.

88C
GANNETT.] GEOGKAPHEC TABLES AND FORMULAS. 147 

TABLE 21. Five-place logarithms of circular functions, etc. Continued.

QU 2°

m. s.

8 0 

4 

8 

12 

16

8 20 

24 

28 

32 

36

8 40. 

44 

48 

52 

66

9 0 

4 

8 

12 

16

9 20 

24 

 . "28 

32 

36

9 40 

44 

48 

52 

56

10 0 

4 

8 

12 

 16

10 20 

24 

28 

32 

36

10 40 

44 

48 

52 

56

11 0

4 

8 

12 

16

11 20 

24 

28 

32 

36

11 40 

44 

48 

52 

56

12 0

'

0

. 1 

2 

3 

4

' 5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

. 39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51. 

62 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

8. 54 282 

8. 54 642 

8/54 999 

8. 55 354 

8. 55 705

8. 56 054 

8. 56 400 

8. 56 743 

8. 57 084 

8. 57 421

8. 57 757 

8. 58 089 

8.58 419 

8. 58 747 

8. 59 072

8.59 395 

8.59 715 

' 8.60-033 

8. 60 349 

8. 60 662

8. 60 973 

8.61 282 

8. 61 589 

8. 61 894 

8. 62 196

8. 62 497 

8. 62 795 

8. 63 091. 

8. 63 385 

8. 63 678

8. 63 968 

8. 64 256 

8.64 543 

 8. 64 827 

8.65 110

-.8. 65 391 

8. 65 670 

8. 65 947 

8. 66 223 

8. 66 497

8. 66 769 

8. 67 039 

8.67 308 

8. 67 575 

8. 67 841

8. 68 104 

8. 68 367 

8. 68 627 

8. 68 886 

8.69 144

8. 69 400 

8. 69 654 

8. 69 907 

8. 70 159 

8. 70 409

8. 70 658 

8. 70 905 

8. 71 151 

8.71 395 

8. 71 638

' 8. 71 880

L. Cos.

 d.

360 357' 

355 

351

346 

343 

341 

337 

336

332 

330 

328 

325

qoo

320 

318 

316 

313 

311

309 

307 

305 

302 

301

298 

296 

294 

293 

290

288 

287 

284 

283

279 

277 

270 

274

270 

269 

267 

266 

263

263 

260 

259 

258

f)&(\

254 

' 253 

262 

250 

249

247 

246 

244 

243 

242

d.

L. Tang.

8. 54 308 

8. 54 669 

8. 55 '027 

8. 55 382 

8. 55 734

8. 56 083 

8. 56 429 

8. 56 773 

8. 57 114 

8. 57 452

8.57 788 

8.58 121 

8. 58 451 

8.58 779 

8. 59 105

8.59 428 

8.59 749 

8. 60 068 

8. 60 384 

8. 60 698

8. 61 009 

8.61 319 

8. 61 626 

8.61 931 

8. 62 234

8.02 535 

8. 02 834 

8. 63 131 

8. 63 426 

8. 63 718

8.64 009 

8. 64 298 

8.64 585 

8.64 870 

8. 65 154

8. 65 435 

8.65 715 

8. 65 993 

8. 66 269 

8. 66 543

8. 66 810 

8.67 087 

8. 67 356 

8.67 624 

8. 67 890

8. 68 154 

8. 68 417 

8. 68 678 

8. 68 938 

8.69 196

8.69 453 

8. 69 708 

8. 69 962 

8. 70 214 

8. 70 465

8. 70 714 

8. 70 962 

8. 71 208 

8. 71 453 

8,71 697

8. 71 940

L. Cotg.

c. d.

361 

 '358' 

355 

352

346 

344 

341 

338

333 

330 

328 

326

393

321 

319 

316 

314

310 

307 

305 

303 

301

299 

297 

295 

292 

291

289 

287 

285 

284

OQ1

' 280 

278 

276 

274 

273

271 

269 

268 

266 

264

263 

261 

260

258

OEV7

255 

254 

252 

251 

249

248 

246 

245 

244 

243

c.d.

L. Cotg.

1.45 692 

1.45 331 

1. 44 973 

1.44 618 

1. 44 266

1.43 917 

1. 43 571 

1.43 227 

1.42 880 

1. 42 548

1.42 212 

1.41 879 

1.41 549 

1.41' 221 

1.40 895

1.40 572 

1.40 251 

1. 39 932 

1.39 616 

1. 39 302

1. 38 991 

1. 38 681 

1. 38 374 

1. 38 069 

1.37 766

1. 37 465 

1. 37 166 

1. 36 869 

1. 36 574 

1. 36 282

1. 35 991 

1. 35 702 

1. 35 415 

1.35 130 

1. 34 846

- 1. 34 565 

1. 34 2&5 

1. 34 007 

1. 33 731 

1.33 457

1.33 184 

1. 32 913 

1. 32 644 

1. 32 370 

1.32 110

1.31 846 

1.31 583 

1. 31 322 

 1. 31 002 

1. 30 804

1. 30 547 

1.30 292 

1. 30 038 

1. 29 786 

1. 29 535

1. 29 286 

1.29 038 

1. 28 792 

1. 28 547 

1.28 303

1.28 060

L.Tang.

L. Cos.

9.99 974 

9. 99 973 

9.99 973 

9. 99 972 

9. 99 972

9.99 971 

9. 99 971 

9.99 970 

9. 99 970 

9. 99 909

9. 99 969 

9. 99 968 

9. 99 968 

9. 99 967 

9. 99 967

9. 99 967 

9. 99 966 

9. 99 906 

9. 99 965 

9. 99 964

9. 99 964 

9. 99 963 

9. 99 963 

9. 99 962 

9. 99 962

9. 99 961 

9. 99 -961 

9. 99 960 

9. 99 960 

9. 99 959

9. 99 959 

9. 99 958 

9. 99 958 

9. 99 957 

9. 99 956

9. 99 956 

9. 99 955 

9. 99 955 

9. 99 954 

9. 99 954

9.99 953 

9. 99 952 

9. 99 952 

9. 99 951 

9..99 951

9.99 950 

9. 99 949 

9. 99 949 

9. 99 948 

9. 99 948

9. 99 947 

9.99 946 

 9. 99 946 

9.99 945 

9.99 944

9. 99 944 

9. 99 943 

9. 99 942 

9. 99 942 

9. 99 941

9. 99 940

L.Sin.

GO 

59

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31.

M

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

52 0 

56 

52 

48 

44

51 40 

36 

32

28 

24

51 20 

16 

12 

8 

4

51. 0 

56 

52 

48 

44

50 40 

3(1 

32 

28 

24

50 20 

16 

12 

8 

4

50 0 

56 

52 48' 

44

49 40 

36 

32 

28 

24

49 20 

16 

12 

8 

4

49 0 

50 

52 

48 

44

48 40 

36 

32 

28 

.24

48 20 

16 

12 

8 

4

48 0

111. S.

87C
148 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued.. 

Oh 3°

m. s.

12 0 

4 

8 

12 

16

12 20

24 

28 

32 

36

12 40 

44 

48 

52 

56

13 0 

4

8 

12 

16

13 20 

24 

28 

32 

36

13 40 

44 

48 

52 

56

14 0 

4 

8 

12 

36

14 20 

24 

28 

32 

36

14 40 

44

48 

52 

56

15 0 

4 

8 

12 

16

15 20 

24 

28 

32 

36

15 40 

44 

48 

52 

56

16 0

i

0

1

2 '3

' 4

5 

6 

7 

8 

9

10

11

12 

13 

14

15 

16 

17 

18 

19

ao

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43

44

45 

46 

47

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

8. 71 880 

8. 72 120 

8. 72 359 

8. 72 597 

8. 72 834

8. 73 069 

8. 73 303 

8. 73 535 

8.73 767 

8. 73 997

8. 74 226 

8. 74 454 

8. 74 680 

8. 74 906 

8. 75 130

8. 75 353 

8. 75 575 

8. 75 795 

8. 76 015 

8. 76 234

8. 76 451 

8. 76 667 

8. 76 883 

8. 77 097 

8. 77 310

8. 77 522 

8.77 733 

8. 77 943 

8. 78 152 

8. 78 360

8. 78 568 

8. 78 774 

8. 78 979 

8. 79 183 

8. 79 386

8. 79 588 

8. 79 789 

8. 79 990 

8. 80 189 

8.80 388

8. 80 585 

8.80 782 

8.80 978 

8.81 173 

8.81 367

8. 81 560 

8. 81 752 

8. 81 944 

8.82 134 

8. 82 324

8. 82 513 

8. 82 701 

8. 82 888 

8. 83 075 

8. 83 261

8. 83 446 

8. 83 630 

8. 83 813 

8. 83 996 

8.' 84 177

8. 84 358

L. Cos.

d.

240 

239 

238 

237 

235

234 

232 

232 

230 

229

228 

226 

226 

224 

223

222 

220 

220 

219 

217

216 

216 

214 

213 

212

211 

210 

209 

208 

208

206 

205 

204 

203 

202

201 

201 

199 

199 

197

197 

196 

195 

194 

193

192 

192 

190 

190 

189

188 

187 

187 

186 

185

' 184 

183 

183 

181 

181

d.

L. Tang.

8. 71 940 

8. 72 181 

8. 72 420 

8.72 659 

8. 72 896

8. 73 132 

8. 73 366 

8. 73 600 

8. 73 832 

8. 74 063

8.74292 

8. 74 521 

8. 74 748 

8. 74 974 

8. 75 199

8. 75 423 

8. 75 645 

8. 75 867 

8. 76 087 

8. 76 306

8. 76 525 

8.76 742 

8. 76 958 

8. 77 173 

8. 77 387

8. 77 600 

8. 77 811 

8. 78 022 

8. 78 232 

8. 78 441

8. 78 649 

8. 78 855 

8. 79 061 

8. 79 266 

8. 79 470

8. 79 673 

8. 79 875 

8. 80 076 

8. 80 277 

8. 80 476

8.80 674 

8.80 872 

8. 81 068 

8.81 264 

8.81 459

8. 81 653 

8. 81 846 

8. 82 038 

8. 82 230 

8. 82 420

8. 82 610 

8.82 799 

8.82 987 

8.83 175 

8.83 361

8. 83 547 

8.83 732 

8.83 916 

8. 84 100 

8. 84 282

8. 84 464

L-. Cotg.

c. d.

241 

239 

239 

237 

236

234 

234 

232 

231 

229

229 

227 

226 

225

224

222 

222 

220 

219 

219

217 

216 

215 

214 

213

211 

211 

210 

209 

208

206 

206 

205 

204 

203

202 

201 

201 

199 

198

198 

196 

196 

195 

194

193 

192 

192 

190 

190

189 

188 

188 

186 

186

185 

184 

184 

182 

182

c. d.

L. Cotg.

1. 28 060 

1. 27 819. 

1.27 580 

1. 27 341 

1.27 104

1. 26 868 

1. 26 634 

1. 26 400 

1. 26 168 

1.25 937

1. 25 708 

1. 25 479 

1.25 252 

1.25 026 

1. 24 801

1. 24 577 

1. 24 355 

1. 24 133 

1. 23 913 

1. 23 694

1. 23 475 

1. 23 258 

1. 23 042 

1. 22 827 

1.22 613

1. 22 400 

1. 22 189 

1.21 978 

1. 21 768 

1. 21 559

1.21 351 

1.21 145 

1. 20 939 

 1. 20 734 

1. 20 530

1. 20 327 

1.20 125 

1. 19 924 

1. 19 723 

1.19 524

1. 19 326 

1. 19 128 

1. 18 932 

1. 18 736 

1. 18 541

1. 18 347 

1.18 154 

1.17 962 

1.17 770 

1. 17 580

1. 17 390 

1. 17 201 

1. 17 013 

1. 16 825 

1. 16 639

1. 16 453 

1. 16 '268 

1. 16 084 

1. 15 900 

1.15 718

1. 15 536

L. Tang.

L. Cos.

9. 99 940 

9. 99 940 

9. 99 939 

9. 99 938 

9.99 938

9. 99 937 

9. 99 936 

9. 99 936 

9. 99 935 

9. 99 934

9. 99 934 

9. 99 933 

9. 99 932 

9. 99 932 

9. 99 931

9. 99 930 

9'. 99 929 

9. 99 929 

9. 99 928 

9. 99 927

9. 99 926 

9. 99 926 

9. 99 925 

9. 99 924 

9. 99 923

9. 99 923 

9. 99 922 

9. 99 921 

9. 99 920 

9. 99 920

9.99-919 

9. 99 918 

9.99 917 

9.99 917 

9.99 916

9. 99 915 

9. 99 914 

9. 99 913 

9. 99 913 

9. 94 912

9. 99 911 

9. 99 910 

9. 99 909 

9. 99 909 

9. 99 908

9. 99 907 

9.99 906 

9. 99 905 

9.99 904 

9. 99 904

9. 99 903 

9.99 902 

9.99 901 

9. 99 900 

9.99 899

9. 99 898 

9. 99 898 

9. 99 897 

9. 99 896 

9. 99 895

9. 99 894

L. Sin.

60

59 

58 

67 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

/

48 0 

56 

52 

48 

. 44

47 40 

. 36 

. 32 

28 

24

47 20 

16 

12 

8 

4

47 .0 

56

62 

48 

44

46 40 

. 36 

32 

28 

24

46 20 

16 

12 

8 

4

46 0 

56 

52 

48 

44

45 40 

36 

32

28 

24

45 20 

16 

12 

8 

4

45 0 

56 

52 48' 

44

44 40 

. 36 

. 32 

28 

24

44 20 

16 

12 

8 

4

44 0

m. s.

86C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 149

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Ou 40

m. s.

.16 0 

4 

8 

12 

16

16 20 

24 

28 

' 32 30

16 40 

44 

48 

52 

 56

17 0 

4 

8 

12 

10

17 20 

24

' 28 

32 

36

17 40 

44 

48

 52 

56

18 0 

4 

8 

12 

16

18 20 

24 

28 

32 

36

18 40 

44 

48 

52 

56

19 0 

4 

' 8 

12 

', 16

39 20 

24 

28 

32 

. 36

19 40' 

' 44

' ' 48 

' 52 

56

20 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

IS 

19

 JO

21 

22 

23 

24

25 

26 

27 

28 

29

so

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

61 

52 

53 

54

55 '56 

57 

58 59

60

L. Sin.

8.84358 

8. 84 539 

8. 84 718 

8. 84 897 

8. 85 075

8. 85 252 

8. 85 429 

8. 85 605 ' 

8. 85 780 

8. 85 955

8. 86 128 

8. 86 301 

. 8. 86 474 

8. 86 645 

8. 86 816

8. 86 987 

8.87 156 

8.87 325 

8.87 494 

8.87 661

8.87 829 

8.87 995 

8. 88 161 

8.88 320 

8.88 490

8. 88 054 

8. 88 817 

8. 88 980 

8.89 142 

8.89 304

8. 89 404 

8. 89 625 

8. 89 784 

8. 89 943 

8. 90 102

8. 90 260 

8. 90 417 

8. 90 574 

8. 90 730 

8. 90 885

8.91 040 

8. 91 195 

8. 91 349 

8.91 502 

8.91 655

8. 91 807 

8.91 959 

8. 92 110 

8. 92 261. 

8. 92 411

8. 92 561 

8. 92 710 

8. 92 859 

8. 93 007 

8.93 154

8. 93 301 

8. 93 448 

8. 93 594 

8.93 740 

8.93 885

8.94 030

L. Cos.

d.

181 

179 

179 

178 

177

177 

176 

175 

175 

173

173 

 173 

171 

171 

171

169 

169 

169 

167 

168

166 

166 

165 

164 

164

163 

163 

162 

162 

160

161 

159 

159 

159 

158

157 

157 

156 

155 

155

155 

154 

153 

153 

152

152 

151 

151 

150 

150

149 

149 

148 

147 

147

147 

146 

146 

145 

145

d.

L. Tang.

8. 84 464 

8.84 646 

8. 84 826 

8. 85 006 

. 8. 85 185

8. 85- 303 

8. 85 540 

8. 85 717 

8. 85 893 

8. 80 009

8. 86 243 

8. 86 417 

8.86 591 

8.86 763 

8. 86 935

8.87 106 

8. 87 277 

8. 87 447 

8.87 616 

8.87 785

8.87 953 

8. 88 120 

8. 88 287 

8. 88 453 

8. 88 618

8. 88 783 

8.88 948 

8. 89 111 

8.89 274 

8.89 437

8. 89 598 

8. 89 760 

8.89.920 

8. 90 080 

8. 90 240

8. 90 399 

8. 90 557 

8. 90 715 

8. 90 872 

8. 91 029

8.91 185 

8. 91 340 

8.91 495 

8. 91 650 

8.91 803

8.91 957 

8. 92 110 

8.92 262 

8. 92 414 

8.92 565

8.92 716 

8. 92 866 

8.93 016 

8.93 165 

8.93 313

8. 93 462 

8. 93 609 

8. 93 756 

8. 93 903 

8. 94 049

8. 94 195

L. Cotg.

o. d.

382 

380 

180 

179. 

378

177 

177 

176 

176 

174

174 

174 

172 

172 

171

171 

'170 

169 

169 

168

167 

167 

166 

165 

165

165 

163 

163 

163 

161

362 

160 

160 

160 

159

158 

158 

157 

157 

156

155 

155 

155 

153 

154

153 

152 

152 

151 

151

150 

150 

149 

148 

149

147 

147 

147 

146 

146

.c. d.

L. Cotg.

1.15 536 

1. 15 354 

1. 15 174 

1.14 994 

1. 14 815

1. 14 637 

3.14 460 

1. 14 283 

1.14 107 

1. 13 931

3, 13 757 

1. 13 583 

1.33 409 

1. 33 237 

1. 13 065

1. 12 894 

1.12 723 

1. 12 553 

1. 12 384 

1. 12 215

1. 12 047 

1. 11 880 

1.11 713 

1. 11 547 

1. 11 382

1.11 217 

1.11 052 

1. 10 889 

1.10 720 

1. 10 503

1. 10 402 

1. 10 240 

1. 10 080 

1. 09 920 

1.09 700

1.09 601 

1. 09 443 

1.09 285 

1.09 128 

1. 08 971

1. 08 815 

1. 08 660 

1. 08 505 

1.08 350 

1. 08 197

1. 08 043 

1. 07 890 

1. 07 738 

1.07 586 

1. 07 435

1. 07 284 

1.07 134 

1. 06 984 

1. 06 835 

1. 06 687

1.06 538 

1. 06 391 

1. 00 244 

1. 00 097 

1. 05 951

1. 05 805

X. Tang.

L. Cos.

9. 99 894 

9.99 893 

9. 99 8»2 

9. 99 891. 

9. 99 893.

9. 99 890 

9. 99 889 

9. 99 888 

9. 99 887 

9. 99 886

9.99 885 

9. 99 884 

9. 99 883 

9. 99 882 

9. 99 881

9. 99 880 

9. 99 879 

9. 99 879 

9. 99 878 

9. 99 877

9. 99 876 

9. 99 875 

9.99 874 

9. 99 873 

9. 99 872

. 9. 99 871 

9.99 870 

9. 99 869 

9. 99 868 

9. 99 867

9. 99 866 

9. 99 865 

9. 99 864 

9. 99 863 

9. 99 862

9. 99 861 

9. 99 860 

9. 99 859 

9. 99 858 

9. 99 857

9. 99 856 

9.99 855 

9. 99 854 

9. 99 853 

9. 99 85?.

9. 99 851 

9. 99 850 

9. 99 848 

9. 99 847 

9. 99 846

9. 99 845 

a 99 844 

9.99 843 

9. 99 842 

 9. 99 841

9. 99 840 

9. 99 839 

9 99 838 

9! 99 837 

9. 99 836

9. 99 834

L. Sin.

GO

59

58 

57 

50

55 

54 

63 

52 

51

50

49 

48 

47 

.40

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

ao

29 

28 

27 

26

25 

24 

23 

22 21'

 20

19 

18 

17 

3.6

35 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

'12 

0

'

44 0 

56 

52 

48 

44

43 40

36 

32 

28 

24

43 20 

36 

32 

8 

4

43 0 

56 

52 

48 

44

42 40 

36 

32 

28 

24

42 20 

10 

12

8 

4

42 0 

56 

52 

48 

44

41 40 

36 

32 

28 

24

41 20 

36 

12 

8 

4

41 0 

50 

52 

48 

44

40 40 

30 

32 

28 

24

40 20 

16 

12 

8 

4

40 0

in. s.

85<
150 GEOGRAPHIC TABLES AND FOEMITLAS. [BULi,.234. 

TABLE 21. Five-place logarithms, of circular functions, etc. Continued. 

Ou 5°

m. s.

20 0 

4 

8 

12 

16

20 20 

24 

28 

32 

36

20 40 

44 

48 

52 

50

21 0 

4 

8 

12 

16

21 20 

24 

28 

32 

36

21 40 

44 

48 

52 

56

22 0 

4 

8 

12 

16

22 20 

24 

28 

32 

30

22 40 

44 

48 

52 

50

23 0 

4 

8 

12 

10

23 20 

24 

28 

32 

36

23 40 

44 

48 

52 

50

24 0

/

0

1 '2 

3 

4

5 

6 

7 

8 

9

10

11

12 

13

14

15 

16 

17. 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

50 

57 

58 

59

(iO

L. Sin.

8. 94 030 

8. 94 174 

8. 94 317 

8. 94 401 

8.94 003

8. 94 740 

8. 94 887 

8. 95 029 

8. 95 170 

8. 95 310

8.95450 

8. 95 589 

8. 95 728 

8. 95 867 

8. 96 005

8. 96 143 

8. 96 280 

8. 90 417 

8.96 553 

8. 96 689

8. 96 825 

8. 90 900 

8. 97 095 

8.97 229 

8. 97 363

8. 97 496 

8.97 629 

8. 97 762 

8. 97 894 

8/98 026

8. 98 157. 

8.98 288 

8. 98 419 

8. 98 549 

8.98 679

8. 98 808 

8.98 937 

8. 99 000 

8. 99 194 

8. 99 322

8. 99 450 

8. 99 577 

8. 99 704 

8. 99 830 

8. 99 950

9. 00 082 

9. 00 207 

9. 00 332 

9. 00 450 

9. 00 581

9. 00 704 

9. 00 828 

£ 00 951 

9. 01 074 

9.01 196

9. 01 318 

9.01 440 

9. 01 56.1. 

9. 01 082 

9. 01 803

9. 01 923

L. Cos.

d.

144 

143 

144 

142 

143

141 

142 

141 

140 

140

139 

139 

139 

138 

138

137 

137 

130 

130 

136

135 

135 

134 

134 

133

133 

133 

132 

132 

131

131 

131 

130 

130 

129

129 

129

128 

128 

128

127 

127 

126 

126 

120

125 

125 

124 

125 

123

124 

123 

123 

122

122

122 

121 

121 

121 

120

d.

L. Tang.

8. 94 195 

8. 94 340 

8. 94 485 

8. 94 630 

8. 94 773

8. 94 917 

8. 95 060 

8. 95 202 

8. 95 344 

8. 95 486

8. 95 027 

8. 95 767 

8. 95 908 

8. 96 047 

8. 96 187

8. 90 325 

8. 96 464 

8. 96 002 

8.90 739 

8. 90 877

8. 97 013 

8. 97 150 

8. 97 285 

8. 97 421 

8. 97 556

8. 97 691 

8.97 825 

8.97 959 

8. 98 092 

8. 98 225

8. 98 358 

8. 98 490 

8. 98 622 

8. 98 753 

8. 98 884

8. 99 015 

8.99 145 

8. 99 275 

8. 99 405 

8. 99 534

8,99 602 

8. 99 791 

8. 99 919 

9. 00 046 

9. 00 174

9. 00 301 

9. 00 427 

9. 00 553 

9. 00 679 

9. 00 805

9. 00 930 

9.01 055 

9. 01 179 

9. 01 303 

9. 01 427

9. 01 550 

9. 01 673 

9. 01 796 

9. 01 918 

9. 02. 040

9. 02 162

L. Cotg.

c. d.

145 

145 

145 

143 

144

143 

142 

142 

 142 

141

140 

141 

139 

140 

138

139 

138 

137 

138 

136

137 

135 

130 

135 

135

134 

134 

133 

133 

133

132 

132 

131 

131 

131

130 

130 

130 

129 

128

129 

128 

127 

128 

127

126 

126 

126 

126 

125

125 

124. 

124 

124 

123

123 

123 

122 

' 122 

122

c.d.

L. Cotg.

1.05 805 

1. 05 660 

1.05 515 

1.05 370 

1. 05 227

1. 05 083 

1. 04 940 

1. 04 798 

1. 04 656 

1. 04 514

1. 04 373 

1.04.233 

1.04092 

1. 03 953 

1. 03 813

1.03 675 

1. 03 536 

1. 03 398 

1. 03 201 

1. 03 123

1. 02 987 

1.02 850 

1.02 715 

1.02 579 

1. 02 444

1.02 309 

1.02 175 

1.02 041 

1. 01 908 

1. 01 775

1. 01 642 

1.01 510 

1. 01 378 

1. 01 247 

1.01 116

1. 00 985 

1. 00 855 

1. 00 725 

1. 00 595 

1. 00 466

1.00 338 

1.00 209 

1. 00 081 

0.99 954 

0. 99 826

0.99 699 

0. 99 573 

0. 99 447 

0.99 321 

0. 99 195

0. 99 070 

0. 98 945 

0. 98 821 

0. 98 697 

0. 98 573

0. 98 450 

0. 98 327 

0. 98 204 

0. 98 082 

0. 97 960

0. 97 838

L. Tang.

L. Cos.

9. 99 834 

9. 99 833 

9. 99 832 

9. 99 831 

9. 99 830

9. 99 829 

9.99 828 

9. 99 827 

9. 99 825 

9. 99 824

9. 99 823 

9.99822 

9. 99 821 

9. 99 820 

9. 99 819

9.99 817 

9. 99 816 

9. 99 815 

9. 99 814 

9. 99 813

9. 99 812 

9. 99 810 

9. 99 809 

9. 99 808 

9. 99 807

9. 99 806 

9. 99 804 

9. 99 803 

9. 99 802 

9. 99 801

9. 99 800 

9. 99 798 

9. 99 797 

9. 99 796 

9. 99 795

9. 99 793 

9. 99 792 

9. 99 791 

9.99 790 

9. 99 788

9. 99 787 

9.99 786 

9. 99 785 

9. 99 783 

9. 99 782

9.99 781 

9. 99 780 

9. 99 778 

9. 99 777 

9. 99 776

9. 99 775 

9. 99 773 

9.99 772 

9. 99 771 

9.99 769

9. 99 708 

 9.99 707 

9.99 765 

9.99 764 

9. 99 763

9. 99 761

L. Sin.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

80

29 

28 

27 

20

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

40 0 

56 

52 

48 

44

39 40 

36 

32 

28

24

39 20 

16 

12 

8 

4

39 0 

56 

52 

48 

44

38 40 

36 

32 

28 

24

38 20 

16 

12 

8 

4

38 0 

56 

52 

48 

44

37 40 

36 

32

28 

24

37 20 

16 

12 

8 

4

37 0 

 56 

52 

48 

44

36 40 

36 

32 

28 

24

36 20 

1C 

12 

 8 

4

36 0

in. s.

84C
GANNETT.] GEOGKAPHIC TABLES AND FORMULAS. 151 

TABLE 21. Mve-place logarithms of circular functions, etc. Continued.

Oh 6°

in. s.

24 0 

4 

. 8 

12 

16

24 20 

24 

28 

32 

36

24 40 

44 

48 

52 

56

' 25 0 

4 

8 

12 

16

25 20 

24 

28 

32 

36

26 40 

44 

48 

52 

56

26 0 

4 

8 

12 

16

26 20 

24 

28 

32 

36

26 40 

44 

48 

52 

56

27 0 

4 

8 

12 

16

27 20 

24 

28 

82 

36

27 40 

. 44 

48 

52 

56

28 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

1.8 

.19

20

21 

22 

23 

24

25 

26 

27 

28 

29

ao

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44 ~45~ 

46 

47 

48 

49

, 50

51 

52 

53 

64

55 

56 

. 57 

58 

59

GO

L. Sin.

9. 01 923 

9. 02 043 

9. 02 163 

9. 02 283 

9. 02 402

9.02 520 

9. 02 639 

9. 02 757 

9. 02 874 

9. 02 992

9. 03 109 

9. 03 226 

9.03 342 

9. 03 458 

9.03 574

9. 03 690 

9.03 805 

9. 03 920 

9. 04 034 

9. 04 149

9. 04 262 

9. 04 376 

9. 04 490 

9. 04 603 

9.04 715

9. 04 828 

9. 04 940 

9. 05 052 

9.05 164 

9. 05 275

9. 05 386 

9. 05 497 

9. 05 607 

9. 05 717 

9. 05 827

9. 05 937 

9. 06 046 

9. 06 155 

9. 06 264 

9. 06 372

9. 06 481 

9. 06 589 

9. 06 696 

9. 06 804 

9. 06 911

9.07 018 

9. 07 124 

9. 07 231. 

; 9.07 337 

9. 07 442

9. 07 543 

9.07 653 

9.07 758 

9. 07 863 

9.07 968

9. 08 072 

9. 08 176 

9. 08 280 

9. 08 383 

9,08 486

9. 08 589

L. Cos.

d.

120 

120 

120 

119 

118

119 

118 

117 

118 

117

117 

116 

116 

116 

116

115 

115 114" 

115 

113

114 

114 

113 

112 

113

112 

112 

112 

111 

111

111 

110 

110 

110 

110

109 

109 

109 

108 

109

108 

107 

108 

107 

107

106 

107 

106 

105 

106

105 

105 

105 

105 

104

104 

104 

103 

103 

103

cl.

L. Tang.

9. 02 162 

9. 02 283 

9. 02 404 

9.02 525 

9. 02 645

9.02 766 

9.02 885 

9. 03 005 

9. 03 124 

9. 03 242

9. 03 361 

9. 03 479 

9. 03 597 

9.03 714 

9. 03 832

9. 03 948 

9. 04 065 

9.04181 

9. 04 297 

9. 04 413

9. 04 528 

9. 04 643 

9. 04 758 

9. 04 873 

9. 04 987

9. 05 101 

9. 05 214 

9.05 328 

9. 05 441 

9. 05 553

9. 05 666 

9. 05 778 

9. 05 890 

9. 06 002 

9.06 113

9.06 224 

9.06 3a5 

9.06 445 

9.06 556 

9.06 666

9..06 775 

9. 06 885 

9. 06 994 

9.07 103 

9. 07 211

9. 07 320 

9. 07 428 

9. 07 536 

9.07 643 

9. 07 751

9. 07 858 

9.07 964 

9. 08 071 

9. 08 177 

9. 08 283

9.08 389 

9. 08 495 

9.08 600 

9. 08 705 

9. 08 810

9. 08 914

L. Cotg.

C. d.

121 

121 

121 

120 

121

119 

120 

 119 

118 

119

118 

118 

117 

118 

116

117 

110 

116 

116 

115

115 

115 

115 

114 

114

113 

114 

113 

112 

113

112 

112 

11.2 

111 

111

111 

110 

111 

110 

109

110 

109 

109 

108 

109

108 

108 

107 

108 

107

106 

107 

106 

106 

' 106

106 

105 

105 

105 

104

c. d.

L. Cotg.

0. 97 838 

0.97 717 

0. 97 596 

0.97 475 

0.97 355

-0. 97 234 

0. 97 115 

0. 96 995 

0.96 876 

' 0. 96 758

0. 96 639 

0. 96 521 

'0.96 403 

0. 96 286 

0. 96 168

0. 96 052 

0. 95 935 

0. 95 819 

0. 95 703 

0. 95 587

0. 95 472 

0. 95 357 

0. 95 242 

0. 95 127 

0. 95 013

0. 94 899 

0. 94 786 

0. 94 672 

0. 94 559 

0. 94 447

0. 94 334 

0. 94 222 

0. 94 110 

0. 93 998 

 0. 93 887

0. 93 776 

0. 93 665 

0. 93 555 

0. 93 444 

0. 93 334

0. 93 225 

0. 93 115 

0. 93 006 

0. 92 897 

0. 92 789

0. 92 680 

0. 92 572 

0.92 464 

0. 92 357 

0.92 249

0. 92 142 

0. 92 036 

0. 91 929 

0. 91 823 

0. 91 717

0.91 611 

0. 91 505 

0. 91 400 

0. 91 295 

0. 91. 190

0. 91 086

L. Tang.

L. Cos.

9. 99 761 

9. 99 760 

9. 99 759 

9. 99 757 

9. 99 756

9. 99 755 

9.99 753 

9. 99 752 

9.99 751 

9. 99 749

9. 99 748 

9. 99 747 

9. 99 745 

9.99 744 

9. 99 742

9. 99 741 

9. 99 740 

9. 99 738 

9.99 737 

9. 99 736

9. 99 734 

9.99-733 

9. 99 731 

9. 99 730 

9. 99 728

9. 99 727 

9. 99 726 

9. 99 724 

9. 99 723 

9. 99 721

9. 99 720 

9.99 718 

9.99 717 

9. 99 716 

9. 99 714

9. 99 713 

9. 99 711 

9. 99 710 

9. 99 708 

9. 99 707

9. 99 705 

9. 99 704 

9.99 702 

9.99 701 

9.99 699

9. 99 698 

9. 99 696 

9. 99 695 

9. 99 693 

9. 99 692

9. 99 690 

9. 99 689 

9. 99 687 

9. 99 686 

9. 99 684

9. 99 683 

9.99 681 

9. 99 680 

9. 99 678 

9.99 677

9. 99 675

L, Sin.

<>0

59 

58 

67 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

SJO

29 

28 

27 

26

25 

24 

23 

22 

21

20

19

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

36 0 

56 

52 

48 

44

35 40 

36 

32 

28 

24

35 20 

16 

12 

8 

4

35 0 

66 

52 

48 

44

34 40 

36 

32 

28 24 '

34 20 

16 

12 

8 

4

34 0 

56 

52 

48 

44

33 40 

36 

32 

28 

24

33 20 

16 

 12 

8 

4

33 0 

56 

52 

48 

44

32 40 

36 

32 

28 

24

32 20 

16 

12 

8 

4

32 0

in. s.

83C 5h
152 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234: 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Oh ' . 7°

m. s.

28 0 

4 

8 

12 

1C

28 20 

24 

28 

32 

36

28 40 

44 

48 

52 

56

29 0 

4 

 8 

12 

1C

29 20 

24 

28 

32 

36

29 40 

44 48- 

52 

56

30 0 

4 

8 

12 

16

30 20 

24 

28 

32 

36

30 40 

44 

48 

52 

56.

31 0 

4 

8 

12 

16

31 20 

24 

28 

32 

36

31 40 

44 

48 

52 

 56

32 0

i

0

1

2 

3 

4

5 

0 

7 

8 

9

.10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

.51 

52 

53 

54

55 

56 

57 

 58 

59

60

L. Sin.

9. 08 589 

9.08 692 

9.08 795 

9.08 897 

9. 08 999

9.09 101. 

9. 09 202 

9. 09 304 

9. 09 405 

9. 09 506

9.09 60G 

9. 09 707 

9. 09 807 

9. 09 907 

9. 10 006

9. 10 106 

9. 10 205 

9. 10 304 

9. 10 402 

9. 10 501

9. 10 599 

9. 10 697 

9. 10 ^95 

9. 10 893 

9. 10 990

9.31 087 

9.11 184 

9. 11 281 

9. 11 377 

9. 11 474

9.11 570 

9.11 6t>6 

9.11 761 

9. 11 857 

9. 11 952

9. 12 047 

9. 12 142 

9. 12 236 

9. 12 331 

9. 12 425

9. 12 519 

9. 12 612 

9. 12 706 

9. 12 799 

9. 12 892

9.12 985 

9.13 078 

9. 13 171 

9. 13 263 

9. 13 355

9. 13 447 

9.13 539 

9. 13 630 

9. 13 722 

9. 13 813

9.13 904 

9. 13 994 

9. 14 085 

9. 14 175 

9. 14 266

9. 14 356

L. Cos.

d.

103 

103 

102 

102 

102

101 

102 

101 

101 

100

101 

100 

100 

99 

100

99 

99 

98 

99 

98

98 

98 

98 

97 

97

97 

97 

96 

97 

96

96 

95 

96 

95 

95

95 

94 

95 

94 

94

93 

94 

93 

93 

93

93 

93 

92 

92 

92

92 

91 

92 

91 

91

90 

91 

90 

91 

90

d.

L. Tang.

9. 08 914 

9. 09 019 

9.09 123 

9. 09 227 

9.09 330

9. 09 434 

9. 09 537 

9. 09 040 

9. 09 742 

9. 09 845

9. 09 947 

9. 10 049 

9. 10 150 

9.10 252 

9. 10 353

9. 10 454 

9.10 555 

9. 10 656 

9. 10 756 

9. 10 856

9. 10 956 

9. 11 056 

9. 11 155 

9. 11 254 

9.11 353

9. 11 452 

9. 11 551 

9. 11 649 

9.11 747 

9.11 845

9. 11 943 

9.12 040 

9. 12 138 

9. 12 235 

9. 12 332

9. 12 428 

9. 12 525 

9. 12 621 

9. 12 717 

9. 12 813

9. 12 909 

9. 13 004 

9.13 099 

9. 13 194 

9. 13 289

9. 13 384 

9. 13 478 

9. 13 573 

9. 13 667 

9. 13 761

9. 13 854 

9.13 948 

9. 14 041 

9. 14 134 

9. 14 227

9.14 320 

9. 14 412 

9. 14 504 

9. 14 597 

9. 14 688

9. 14 780

L. Cotg.

C. d.

105 

104 

104 

103 

104

103 

103 

102 

103 

]02

102 

10.1 

102 

101 

101

101 

101 

100 

100 

100

100 

99 

99 

99 

99

99

98 

98 

98 

98

97 

98 

97 

97 

96

97 

96 

96 

96 

96

95 

95 

95 

95 

95

94 

95 

94 

94 

93

94 

93 

93 

93 

93

92 

92 

93 

91 

92

c.d.

L. Cotg.

0. 91 086 

0.90 981 

0. 90 877 

0. 90 773 

0.90 670

0. 90 566 

0. 90 463 

0. 90 360 

0. 90 258 

0. 90 155

0. 90 053 

0.89 95] 

0. 89 850 

0. 89 748 

0. 89 647

0. 89 546 

0. 89 445 

0. 89 344 

0. 89 244 

0. 89 144

0. 89 044 

0. 88 944 

0. 88 845 

0. 88 746 

0. 88 647

0.88 548 

0.88 449 

0.88 351 

0. 88 253 

0.88 155

0.88 057 

0. 87 960 

0. 87 862 

0. 87 765 

0.87 668

0.87 572 

0. 87 475 

0. 87 379 

0.87 283 

0.87 187

0. 87 091 

0. 86 996 

0.86 901 

0. 86 806 

0. 86 711

0.86 616 

0. 86 522 

0.86 427 

0. 86 333 

0. 86 239

0. 86 146 

0. 86 052 

0. 85 959 

0.85 866 

0.85 773,

0. 85 680 

0.85 588 

0. 85 496 

0.85 403 

0.85 312

0. 85 220

.L. Tang.

L. Cos.

9. 99 675 

9. 99 674 

9. 99 672 

9.99 670 

9. 99 669

9.99 667 

9.99 666 

9.99 664 

9. 99 663 

9. 99 661

9. 99 659 

9. 99 658 

9. 99 656 

9. 99 655 

9. 99 653

9. 99 651 

9. 99 650 

9. 99 648 

9.99 647 

9. 99 645

9. 99 643 

9. 99 642 

9.99 640 

9. 99 638 

9. 99 637

9. 99 635 

9.99 633 

9. 99 632 

9. 99 630 

9. 99 629

9. 99 627 

9.99 625 

9.99 624 

9. 99 622 

9. 99 620

9. 99 618 

9. 99 617 

9. 99 615 

9. 99 613 

9. 99 612

9. 99 610 

9. 99 608 

9. 99 607 

9.99 605 

9. 99 603

9.99 601 

9. 99 600 

9. 99 598 

9.99 596 

9. 99 595

9. 99 593 

9. 99 591 

9.99 589 

9. 99 588 

9. 99 586

9. 99 584 

9. 99 582 

9. 99 581 

9. 99 579 

9. 99 577

9.99 575

L. Sin.

60

59 

58 

57 

56

55 

54 

53 

52 

51

'50

59 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11.

10

9 

8

7 

6

5 

4 

3 

2 

' 1

0

'

32 0 

56 

' 62 

48 

44

31 40 

36 

32 

28 

24

31 20 

16 

12

8 

4

31. 0 

5G 

52 

48 

44

30 40 

3C 

32

. 28 

24

30 20 

16 

12 

8

4

30 0 

56 

52 

48 

44

29 40 36 ' 

32 

28 

24

29 20 16 

12 

8 

4

29 0 

56 

52

48 

44

28 40 

36 

32 

28 

24

28 20 

16 

12 

8 

4

28 0

m. s.

82C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. . 153 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Oh 8° x

m. s.

32 0 

4 

8 

12 

16

32 20 

24 

28 

32 

36

32 40 

44 

48 

52 

56

33 0 

4 

8 

12 

16

33 20 

24 

28 

32 

36

33 40 

44 

48 

52 

56

34 0 

4 

8 

12 

16

34 20 

24 

28 

32 

36

34 40 

44 

48 

52 

56

35 0 

4 

8 

12 

16

35 20 

24 

28 

32 

36

35 40 

44

48 

62 

56

36 0

/

0 

1

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

i 27 

28 

J 29

t :io

31 

1 32 

' 33 

34

35 

36 

37 

38 

39

40

41 

42 

43

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

00

L. Sin.

9. 14 356 

9. 14 445 

9. 14 535 

9. 14 624 

9. 14 714

9. 14 803 

9.14 891 

9. 14 980 

9. 15 069 

9.15 157

9.15 245 

9. 15 333 

9.15 421 

9. 15 508 

9. 15 596

9. 15 683 

9. 15 770 

9. 15 857 

9. 15 944 

9. 16 030

9. 16 116 

9. 16 203 

9. 16 289 

9. 16 374 

9. 16 460

9. 16 545 

9. 16 631 

9. 16 716 

9. 16 801 

9. 16 886

9. 16 970 

9.17 055 

9.17 139 

9. 17 223 

9.17 307

9. 17 391 

9. 17 474 

9. 17 558 

9. 17 641 

9. 17 724

9. 17 807 

9. 17 890 

9. 17 973 

9. 18 055 

9. 18 137

9. 18 220 

9. 18 302 

9. 18 383 

9. 18 465 

9. 18 547

9. 18 628 

9. 18 709 

9. 18 790 

9. 18 871 

9. 18 952

9. 19 033 

9. 19 113 

9. 19 193 

9. 19 273 

9. 19 353

9. 19 433

L. Cos.

d.

89 

89' 90 

90 

89

88 

89 

89 

88 

88

88 

88 

87 

. 88 

87

87 

87 

87 

86 

86

87 

86 

85 

86 

85

86 

85 

85 

85 

84

' 85 

84 

84 

84 

84

83 

84 

83 

83 

83

83 

83 

82 

82 

83

82 

81 

82 

82 

81

81 

81 

81 

81 "81

80 

80 80 

80 

80

d.

L. Tang.

9. 14 780 

9. 14 872 

9.14 903 

9. 15 054 

9. 15 145

9. 16 236 

9. 15 327 

9. 15 417 

9. 15 508 

9.15 598

9. 15 688 

9.15 777 

9. 15 867 

9. 15 956 

9. 16 046

9. 16 135 

9. 16 224 

9. 16 312 

9. 16 401 

9. 16 489

9.16 577 

9. 16 665 

9. 16 753 

9. 16 841 

9.16 928

9.17 016 

9. .17 103 

9.17 190 

9. 17 277 

9. 17 363

9. 17 450 

9.17 536 

9. 17 622 

9. 17 708 

9. 17 794

9. 17 880 

9. 17 965 

9. 18 051 

9.18 136 

9. 18 221

9. 18 306 

9. 18 391 

9. 18 475 

9. 18 560 

9, 18 644

9. 18 728 

9. 18 812 

9. 18 896 

9. 18 979 

9. 19 063

9. 19 146 

9. 19 229 

9. 19 312 

9.19 395 

9. 19 478

9. 19 561 

9.19 643 

9. 19 725 

9. 19 807 

9. 19 889

9. 19 971

L. Cotg.

c. d.

92 

91 

91 

91 

91

91 

90 

91 

90 

90

89 

90 89 

90 

89

89

88 

89 

88 

88

88 

88 

88 

87 

88

87 

87 

87 

80 

87

80 

86 

86 

86 

86

85 

86 

85 

85 

85

85 

84 

85 

84 

84

84 

84 

83 

84 

83

83 

83 

83 

83 

83

82 

82 

82 

82 

82

c. d.

L. Cotg.

0.85220 

0. 85 128 

0.85 037 

0. 84 946 

0. 84 855

0.84 704 

0.84 673 

0.-84 583 

0. 84 492 

0. 84 402

0. 84 312 

0. 84 223 

0.84 133 

0. 84 044 

0. 83 954

0. 83 865 

0. 83 776 

0. 83 688 

0. 83 599 

0. 83 511

0. 83 423 

0. 83 335 

0.83 247 

0. 83 159 

0.83 072

0. 82 984 

0. 82 897 

0. 82 810 

0.82 723 

0.82 637

0. 82 550 

0. 82 404 

0.82 378 

0.82 292 

0. 82' 206

0. 82 120 

0.82 035 

0. 81 949 

0.81 804 

0.81 779

0.81 694 

0. 81 609 

0.81 525 

0.81 440 

0. 81 356

0. 81 272 

0. 8i 188 

0.81 104 

0.81 021 

0. 80 937

0. 80 854 

0. 80 771 

0. 80 088 

0..80 605 

0. 80 522

0. 80 439 

0.80 357 

0. 80 275 

0. 80 193 

0. 80 111

0.80 029

L. Tang.

L. Cos.

9. 99 575 

9. 99 574 

9. 99 572 

9. 99 570 

9. 99 508

9. 99 560 

9. 99 565 

9.99 563 

9. 99 561 

9.99 559

9.99 557 

9. 99 556 

9. 99 554 

9. 99 552 

9. 99 550

9. 99 548 

9. 99 546 

9. 99 545 

9. 99 543 

9. 99 541

9. 99 539 

9. 99 537 

9. 99 535 

9.99 533 

9. 99 532

9. 99 530 

9. 99 528 

9.99 526 

9.99 524 

9.99 522

9. 99 520 

9. 99 518 

9. 99 517 

9. 99 515 

9. 99 513

9. 99 511 

9. 99 509 

' 9. 99 507 

9. 99 505 

9. 99 503

9. 99 501 

9. 99 499 

9. 99 497 

9. 99 495 

9. 99 494

9. 99 492 

9. 99 490 

9. 99 488 

9. 99 486 

9. 99 484

9. 99 482 

9. 99 480 

9. 99 478 

9. 99 476 

9. 99 474

9. 99 472 

9. 99 470 

9. 99 468 

9. 99 406 

9. 99 464

9. 99 462

L. Sin.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41.

40

39 

38 

37 

30

35 

34 

33 

32 

31

ao

29

28 

27 

20

25 

24 

23 

22 

21

20

19 18" 

17 

16

15 

14 

13

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

28 0 

50 

52 

48 

44

27 40 

36 

32 

28 

24

27 20 

10 

12 

8 4

27 0 

56 

52 

48 

44

20 40 

30 

32 

28 

24

26 20 

10 

12 

8 

4

26 0 

56 

52 

48 

44

25 40 

36

32 

28 

24

25 20 

16 

12 

8

4

. 25 0 

56 

52 

48 

44

24 40 

30 

32 

28 

24

24 20 

16 

1.2 

8 

4

24 0'

HI. S.

81° 5h
154 GEOGRAPHIC TABLES AND FOEMULAS. [BULL.284.' 

TABLE 21. Mve-place logarithms of circular functions, etc. Continued. 

Oh ' 9°

ra. s.

30 0 

4 

8 

12 

16

36 20 

24 

28 

32 

36.

30 40 

44 

48 

52 

56

37 0 

4 

8 

12 

16

37 20 

24 

28 

32 

30

37 40 

44 

48 

52 

56

38 0 

4 

8 

12 

16

38 20 

24 

28 

32 

36

38 40 

44 

48 

52 

56

39 . 0 

4 

8 

12 

16

39 20 

24 

28 

32 

36

39 40 

44 

48 

52 

56

40 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 42' 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

CO

L. Sin.

9. 19 433 

9. 19 513 

9. 19 592 

9. 19 672 

9. 19 751

9. 19 830 

9. 19 909 

9. 19 988 

9! 20 067 

9. 20 145

9. 20 223 

9. 20 302 

9. 20 380 

9. 20 458 

9. 20 535

9. 20 613 

9. 20 691 

9. 20 768 

9. 20 845 

9. 20 922

9. 20 999 

9. 21 076 

9.21 153 

9. 21 229 

9.21 306

9. 21 382 

9. 21 458 

9. 21 534 

9.21 610 

9.21 685

9.21 761 

9.21 836 

9.21 912 

9.21 987 

9. 22 062

9. 22 137 

9. 22 211 

9. 22 286 

9. 22 361 

9. 22 435

9. 22 509 

9. 22 583 

9.22 657 

9. 22 731 

9.22 805

9. 22 878 

9.22.952 

9. 23 025 

9.23 098 

9. 23 171

9.23 244 

9. 23 317 

9. 23 390 

9. 23 462 

9.23 535

9.23 607 

9.23 679 

9.23 752 

9.23 823 

9.23 895

9.23 967

L. COS.

d.

80 

79 

80 

79 

79

79 

79 

79

78. 

. 78

79 

78 

78 

77 

78

78

77 

77 

77 

77

77 

77 

76 

77 

76

76 

76 

70 75- 

76

75 

76 

75 

75

75

74 

75 

75 

74 

74

74 

74 

74 

74 

73

74 

73 

73 

73 

73

73 

73 

72 

73

72

72 

73 

71

72 

72

d.

L. Tang.

9. 19 971 

9. 20 053 

9. 20 134 

9. 20 216 

9. 20 297

9. 20 378 

9. 20 459 

9.20540 

9. 20 621 

9. 20 701

9. 20 782 

9.20 862 

9. 20 942 

9. 21 022 

9. 21 102

9.21 182 

9.21 261 

9.21 341 

9.21 420 

9. 21 499

9. 21 578 

9.21 657 

9. 21 736 

9.21 814 

9.21 893

9. 21 971 

9. 22 049 

9.22 127 

9.22 205 

9. 22 283

9. 22 361 

9. 22 438 

9. 22 516 

9. 22 593 

9.22 670

9. 22 747 

9.22 824 

9. 22 901 

9. 22 977 

9.23 054

9. 23 130 

9.23 206 

9.23 283 

9. 23 359 

9. 23 435

9. 23 510 

9.23 586 

9.23 661 

9.23 737 

.9. 23 812

9.23 887- 

9.23 962 

9. 24 037 

9. 24 112 

9. 24 186

9. 24 261 

9. 24 335 

9. 24 410 

9. 24 484 

9. 24 558

9. 24 632

 L. Cotg.

c. d.

82

&

82 

81 

81

81 

81 

81 

80 

81

80 

80 

80 

80 

80

79 

80 

79 

79 

79

79 

79

78 

- 79 

78

78 

78 

78 

78 

78

77 

78 

77 

77 

77

77 

77 

76 

77 

76

76 

77 

76 

76 

75

76 

75 

76 

75 

75

75 

75 

75 

74

74 

75 

74 

74

74

c.d.

L. Cotg.

0. 80 029 

0. 79 947 

0. 79 866 

0.79 784 

0. 79 703

0. 79 622 

0. 79 541 

0.79 460 

0. 79 379 

0. 79 299

0.79 218 

0. 79 138 

0. 79 058 

0. 78 978 

0. 78 898

0. 78 818 

0. 78 739 

0. 78 659 

0. 78 580 

0. 78 501

0. 78 422 

0. 78 343 

0. 78 264 

0. 78 186 

0. 78 107

0. 78 029 

0.77 951 

0. 77 873 

0. 77 795 

0. 77 717

0. 77 639 

0. 77 562 

0. 77 484 

0. 77 407 

0. 77 330

0. 77 253 

0. 77 176 

0. 77 099 

0. 77 023 

0. 76 946

0. 76 870 

0. 76 794 

0.76 717 

0.76 641 

0.76 565

0. 76 490 

0. 76 414 

0. 76 339 

0. 76 263 

0.76 188

0. 76 113 

0. 76 038 

0. 75 963 

0. 75 888 

0. 75 814

0.75 739 

0.75 665 

0.75 590 

0. 75 516 

0. 75 442

0.75 368

L. Tang.

L. Cos.

9. 99 462 

9. 99 460 

9. 99 458 

9.99 156 

9. 99 454

9. 99 452 

9. 99 450 

9. 99 448 

9.99 446 

9. 99 444

9. 99 442 

9. 99 440 

9. 99 438 

9. 99 436 

9. 99 434

9. 99 432. 

9. 99 429 

9. 99 427 

9. 99 425 

9. 99 423

9.99 421 

9.99 419 

9. 99 417 

9. 99 415 

9. 99 413

9. 99 411 

9. 99 409 

9. 99 407 

9. 99 404 

9. 99 402

9. 99 400 

9. 99 398 

9. 99 396 

9. 99 394 

9. 99 392

9. 99 390 

9. 99 388 

9.99 385 

9.99 383 

9. 99 381

9. 99 379 

9. 99 377 

9. 99 375 

9.99 372 

9. 99 370

9. 99 308 

9. 99 366 

9. 99 364 

9.99 362 

9. 99 359

9. 99 357 

9. 99 355 

9. 99 353 

9.99 351 

9.99 348

9. 99 346 

9. 99. 344 

9. 99 342 

9. 99 340 

9. 99 337

9. 99 335

L. Sin.

60

59 

58 

57 ' 56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

3029" 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

 15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

24 0 

56 

52 

48 

44

23 40 

36 

32 

28 

24

23 20 

16 

12 

8

4

23 0 

56 

52 

48 

44

22 40 

36 

32 

28 

24

22 20 

16 

12

8 

4

22 0 

56 

52 

48 

44

21 40 

36 

32 

28 

24

21 20 

16 

12 

8 

4

21 0 

56 

52 

48 

44

20 40 - 

30 

32

24

20 20 

16 

32 

8 

4

20 0

in. s.

80°
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 155 

TABLE 21. Five-place loyarUhms of circular functions, etc. Continued. 

0" 10°

 m. s.

40 0 

4 

8 

12 

16

40 20 

24 

28 

32 

36

40 40 

44 

48 

52 

56

41 0 

4 

8 

12 

16

41 20 

24 

28 

32 

36

41 40 

44 

48 

52 

56

42 0 

4 

8 

12 

16

42 20 

24 

28 

32 

36

.. 42 40 

44 

48 

52 

56

 13 0 

4 

8 

12 

16

43 20 

24 

.28 

32 

36

43 40 

44 

48 

52 

56

44 0.

'

0

1

2

4

5 

6

7 

8 

9

10

11

12 

13 

14

15 

. 16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

[27 

r28 ' 29

ao'31 

"32 

'33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

"Iff 

46 

47 

48 

49

 50

51 52- 

53 

54

55 

56 

57 

58 

59

(iO

L. Sin.

9.23 967 

9.24 039 

9. 24 110 

9. 24 181 

9. 24 253

9. 24 324 

9. 24 395 

9. 24 466 

9. 24 536 

9. 24 607

9. 24 677 

9.24 748 

9. 24 818 

9. 24 888 

9.24 958

9. 25 028 

9. 25 098 

9. 25 168 

9. 25 237 

9.25 307

9. 25 376 

9. 25 445 

9. 25 514 

9. 25 583 

9. 25 652

9. 25 721 

9. 25 790 

9.25 858 

9. 25 927 

9. 25 995

9. 26 063 

9.26 331 

9. 26 199 

9. 26 267 

9. 26 335'

9. 26 403 

. 9. 26 470 

9. 26 538 

9. 26 605 

9.26 672

9.26 739 

9. 26 806 

9.26 873 

9. 26 940 

9.27 007

9.27 073 

9. 27 140 

9.27 206 

9. 27 273 

9. 27 339.

9.27 405 

9. 27 471 

9.27 537 

9.27 602 

9.27 668

9. 27 734 

9.27 799 

9. 27 864 

9. 27 930 

9.27 995

 9. 28 060

L. Cos.-

d.

72 

71 

71. 

72 

71

71 

71 

70 

71 

70

7.1 

70 

70 

70 

70

70 

70 

 69 

70 

69

69 

69 

69 

69 

69

69 

68 

69 

68 

68

68 

68 

68 

68 

68

67 

68 

67 

67 

67

67 

67 

67 

67 

66

67 

66 

67 

66 

66

06 

66 

65 

66 

66

65 

65 

66 

65 

 65

d.

L. Tang.

9. 24 632 

9.24 706 

9. 24 779 

9. 24 853 

9.24 926

9. 25 000 

9. 25 073 

7. 25 146 

9. 25 219 

9. 25 292

9. 25 365 

9. 25 437 

9. 25 510 

9. 25 582 

9. 25 655

9. 25 727 

9. 25 799 

9. 25 871 

9.25 943 

9. 26 015

9.26 086 

9. 26 158 

9.26 229 

9. 26 301 

9. 26 372

.9.26 443 

9. 26 514 

9. 26 585 

9.26 655 

9.26 726

9. 26 797 

9. 26 867 

9. 26 937 

9.27 008 

9. 27 078

9.27 148 

9. 27 218 

9. 27 288 

9. 27 357 

9.27 427

9.27 496 

9. 27 566 

9.27 635 

9.27 704 

9. 27 773

9.27 842 

9.27 911 

9. 27 980 

9. 28 049 

9.28 117

9. 28 186 

9. 28 254 

9. 28 323 

9. 28 391 

9. 28 459

9. 28 527 

9. 28 595 

9.28 662 

9. 28 730 

9,28 798

9.28 865

L. Cotg.

c. d.

74 

73 

74 

73 

74

73 

73 

73 

73 

73

72 

73 

72 

73

72

72 

72 

72 

72 

71

72 

71 

72 

71 

71

71 

71 

70 

71 

71

70 

70 

71 

70 

70

70 

70 

69 

70 

69

70 

69 

69 

69 

69

69 

69 

69 

68 

69

68 

69 

68 

68 

68

68 

67 

68 

68 

67

c. d.

L. Cotg.

0. 75 368 

0. 75 294 

0. 75 221 

0.75 147 

0. 75 074

0. 75 000 

0. 74 927 

0. 74 854 

0. 74 781 

0. 74 708

0. 74 635 

0. 74 563 

0. 74 490 

0. 74 418 

0. 74 345

0. 74 273 

0. 74 201 

0.74 329 

0. 74 057 

0. 73 985

0. 73 914 

0. 73 842 

O: 73 771 

0.'73 699 

0. 73 628

0. 73 557 

0. 73 486 

0. 73 415 

0. 73 345 

0. 73 274

. 0. 73 203 

0. 73 133 

0. 73 063 

0. 72 992 

0.72 922

0. 72 852 

0.72 782 

0. 72 712 

0. 72 643 

0. 72 573

0. 72 504 

0. 72 434 

0. 72 365 

0. 72 296 

0. 72 227

0. 72 158 

0. 72 089 

0. 72 020 

0. 71 951 

0. 71 883

0.71 814 

0.71 746 

0. 71 677 

0. 71 609 

0. 71 541

0. 71 473 

0.71 405 

0.71 338 

0. 71 270 

0.71 202

0.71 J35

L. Tang.

L. Cos.

9. 99 335 

9.99 333 

9. 99 331 

9. 99 328 

9. 99 326

9. 99 324 

9. 99 322 

9. 99 319 

9.99 317 

9. 99 315

9. 99 313 

9. 99 310 

9. 99 308 

9. 99 306 

9.99 304

9. 99 301 

9. 99 299 

9. 99 297 

9. 99 294 

9. 99 292

9.99 290 

9.99 288 

9. 99 285 

9.99 283 

9. 99 281

9. 99 278 

9. 99 276 

9. 99 274 

9. 99 271 

9. 99 269

9. 99 267 

9. 99 264 

9.99 262 

9. 99 260 

9. 99 257

9. 99 255 

9.99 252 

9. 99 250 

9. 99 248 

9. 99 245

9. 99 243 

9.99 241 

 9. 99 238 

9. 99 236 

9. 99 233

9. 99 231 

9. 99 229 

9.99 226 

9. 99 224 

9.99 221

9.99 219 

9.99 217 

9. 99 214 

9. 99 212 

9. 99 209

9. 99 207 

9.99 204 

9. 99 202 

9. 99 200 

9. 99 197

9.99 195

L. Sin.

d.

2 

2 

3 

2 

2

2 

3 

2 

2 

2

3 

2 

2 

2 

3

2 

2 

3 

2 

2

2 

3 

2 

2 

3

2 

2 

3 

2 

2

3 

2 

2 

3

2

3 

2 

2 

3 

2

2 

3 

2 

3 

2

2 

3 

2 

3 

. 2

2 

 3 

2 

3

2

3 

2 

2 

3

2

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

'20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

 8 

7 

6

5 

4 

3 

2 

1

0

'

20 0 

56 

52 

48 

44

19 40 

36 

32 

28 

24

19 20 

16 

12 

8 

4

19 0 

56 

52 

48 

44

18 40 

36 

32 

28 

24

18 20 

16 

12 

8 

4

18 0

56 

52 

48 

44

17 40 . 

36 

32 

28 

24

17 20 

16 

12 

8 

4

17 0 

56 

52 

48 

44

16 40 

30 

32 

28 

24

16 20 

16 

12

8 

4

16 0

in. s.

79°
156 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21.' Five-place logarithms of circular functions, etc. Continued. 

Oh 11°

m. s.

' 44 0 

4 

8 

12 

16

44 20 

: 24 

28 

32 

36

44 40 

44 

48 

52 

56

45 0 

4 

8 

12 

16

45 20 

24 

28 

32 

. 36

45 40

44 

48 

52 

56

46 0 

4 

8 

12 

16

46 20 

24 

28 

32 

36

46 40 

44

/ 48 

' 52 

56

. 47 0 

4 

8 

12 

16

47 20 

24 

28 

32 

36

47 40 

44 

48 

52 

56

48 0

'

0

1 

2 

3 

4

5 

6

7

8

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

9. 28 060 

9.28 125 

9.28 190 

9. 28 254 

9. 28 319

9.28 384 

9. 28 448 

9. 28 512 

9.28 577 

9. 28 641

9.28 705 

9.28 769 

9. 28 833 

9. 28 896 

9. 28 960

9. 29 024 

9. 29 087 

9.29 150 

9.29 214 

9. 29 277

9. 29 340 

9.29 403 

9.29 466 

9.29 529 

9. 29 591

9.29 654 

9. 29 716 

9. 29 779 

9. 29 841 

9. 29 903

9. 29 966 

9. 30 028 

9. 30 090 

9. 30 151 

9. 30 213

9. 30 275 

9. 30 336 

9. 30 398 

9.30 459 

9.30 621

9. 30 582 

9. 30 643 

9. 30 704 

9. 30 765 

. 9. 30 826

9. 30 887 

9. 30 947 

9.31 008 

9. 31 068 

9. 31 129

9.31 189 

9. 31 250 

9. 31 310 

9. 31 370 

9.31 430

9.31 490 

9. 31 549 

9. 31 609 

9.31 669 

9. 31 728

9. 31 788

L. Cos.

d.

- 65 

65 

64 

65

65

64 

64 

05 

64

64 

64 

63 

64

63 

63 

64 

63

63 

63 

63 

62

62 

63 

62 

62

62 

62 

61 

62 

62

61 

62 

61 

62

61 

61 

61 

61

60 61' 

60 

61

Kf\

61 

60 

60 

60

59 

60 

60 '59

d.

L. Tang.

9. 28 865 

9. 28 933 

9.29 000 

9.29 067 

9. 29 134

9. 29 201 

9.29 268 

9.29 335 

9. 29 402 

9. 29 468

9. 29 535 

9. 29 601 

9.29 668 

9. 29 734 

9.29 800

9. 29 866 

9.29 932 

9. 29 998 

9. 30 064 

9. 30 130

9. 30 195 

9. 30 261 

9. 30 326 

9. 30 391 

9. 30 457

9. 30 522 

9. 30 587 

9. 30 652 

9. 30 717 

9. 30 782

9. 30 846 

9. 30 911 

9. 30 975 

9.31 040 

9.31 104

9. 31 168 

9.31 233 

9.31 297 

9. 31 361 

9. 31 .425

9. 31 489 

9.31 552 

9.31 616 

9.31 679 

9. 31 743

9. 31 806 

9.31 870 

9.31 933 

9. 31 996 

9. 32 059

9. 32 122 

9. 32 1&5 

9. 32 248 

9. 32 311 

9.32 373

9. 32 436 

9. 32 498 

9. 32 561 

9.32 623 

9.32 685

9.32 747

L. Cotg.

c.d.

68 

67 

67 

67

67 

67 

67 

66

67

66 

67 

66 

66

66 

66 

66 

66

66 

. 65 

65 

66

65 

65 

65 

65

65 

64 

65 

64

65 

64 

64 

64

64

63 

64 

63 

64

64 

63 

63 

63

63 

63 

63 

62

62 

63 

62 

62

62

C.d.

L. Cotg.

0. 71 135 

0. 71 067 

0. 71 000 

0. 70 933 

0. 70 866

0. 70 799 

0. 70 732 

0. 70 665 

0.70 598 

0. 70 532

0. 70 465 

0. 70 399 

0. 70 332 

0. 70 266 

0. 70 200

0.70134 

0. 70 068 

0. 70 002 

0. 69 936 

0. 69 870

0. 69 805 

0. 69 739 

0. 69 674 

0. 69 609 

0. 69 543

0. 69 478 

0. 69 413 

.0. 69 348 

0. 69 283 

0. 69 218

0. 69 154 

0.69 089 

0. 69 025 

0. 68 960 

0. 68 896

0. 68 832 

0. 68 767 

0. 68 703 

0. 68 639 

0. 68 575

0. 68 511 

0.68448 

. 0. 68 384 

0. 68 321 

0. 68 257

0. 68 194 

0.68 130 

0. 68 067 

0. 68 004 

0. 67 941

0. 67 878 

0.67 815 

0. 67 752 

0. 67 689 

0.67 627

0. 67 564 

0. 67 502 

0.67 439 

0. 67 377 

0. 67 315

0. 67 253

L. Tang.

L. Cos.

9. 99 196 

9.99 192 

9.99 190 

9.99 187 

9. 99 185

9. 99 182 

9. 99 180 

9. 99 177 

9.99 175 

9.99 172

9. 99 170 

9. 99 167 

9. 99 165 

9. 99 162 

9. 99 160

9. 99 157 

9. 99 155 

9. 99 152- 

9. 99 150 

9. 99 147

9. 99 145 

9. 99 142 

9.99 140 

9. 99 137 

9. 99 135

9. 99 132 

9. 99 130 

9.99.127 

9. 99 124 

9.99 122

9. 99 119 

9. 99 117 

9. 99 114 

9. 99 112 

9. 99 109

9. 99 106 

9. 99 104 

9. 99 101 

9. 99 099 

9. 99 096

9. 99 093 

9.99 091 

9. 99 088 

9. 99 086 

9.99 083

9. 99 080 

9. 99 078 

9.99 075 

9. 99 072 

9. 99 070

9. 99 067 

9. 99 064 

9. 99 062 

9. 99 059 

9. 99 056

9. 99 054 

9. 99 051 

9. 99 048 

9.99 046 

9. 99 043

9. 99 040

'L. Sin.

d.

3 

2 

3

2

2 

3 

2 

3

2

3 

2 

3 

2

2 

3 

2 

3

2

3

2

3 

2

2 

3 

3

2

2 

3 

2 

3

2 

3 

2 

3

2 

3 

2 

3

2 

3 

3 

2

3 

2 

3 

3

3 

3 

2 

3

d.

60

69 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

36

29

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

 15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

1C 0 

56

52 , 

' 48 

44

15 40 

. 36 

32

28 

24

15 20 

' 16 

12 

8 

4

15 0 

56 

52 

48 

44

14 40 

36 

32

28 

24

14 20 

16 

12

i 8 

4

! 14 0 

! 56 

52 

48 

44

13 40 

36 

32 

28 

24

13 20 

16 

12 

8 

4

13 0 

56 

52

48 

44

12 40 

36 

32 

28 

24

12 20 

16 

12 

8 

4

12 0

in. s.

78C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 157 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Oh 12°

in. s.

.48 0 

4 

8 

12 

16

48 20 

24 

28 

32 

36

48 40 

44 

48 

52 

56

49 0 

4 

8 

12 

16

49 20 

24 

28 

32 

36

. 49 40 

44 

48 

52 

56

5"0 0 

4 

8 

12 

16

50 20 

24 

28 

32 

36

50 40 

44 

48 

52 

56

51 0 

4 

8 

12 

 16

51 20 

24 

28 

32 

36

51 40 

44 

48 

52 

56

52 0

'

0

1 

2 

3 

4

5

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

%°

31

; 32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

00

L. Sin.

9. 31 788 

9. 31 847 

9.31 907 

9. 31 966 

9. 32 025

9. 32 084 

9. 32 143 

9. 32 202 

9. 32 261 

9. 32 319

9.32 378 

9. 32 437 

9. 32 495 

9. 32 553 

9. 32 612

9. 32 670 

9. 32 728 

9. 32 786 

9.32 844 

9. 32 902

9. 32 960 

9.33 018 

9. 33 075 

9. 33 133 

9. 33 190

9. 33 248 

9. 33 305 

9. 33 362 

9. 33 420 

9. 33 477

9.33 534 

9. 33 591 

9. 33 647 

9. 33 704 

9. 33 761

9. 33 818 

9. 33 874 

9. 33 931 

9. 33 987 

9. 34 043

9.34 100 

9. 34 156 

9. 34 212 

9. 34 268 

9. 34 324

9. 34 380 

9. 34 436 

9. 34 491 

9. 34 547 

9. 34 602

9. 34 658 

9.34 713 

9. 34 769 

9. 34 824 

9. 34 879

9. 34 934 

9. 34 989 

9. 35 044 

9. 35 099 

9. 35 154

9. 35 209

. L. Cos.

d.

59 

60 

59 

59 

59

59 

59 

59 

58 

59

59 

58 

58 

59 

58

58 

58 

58 

58 

58

58 

57 

58 

57 

58

57 

57 

58 

57 

57

57 

56 

57 

57 

57

56 

57 

56 

56

57

56 

56 

56 

56 

56

56 

55 

56 

55 

56

55 

56 

.55 

55 

55

55 

55 

55 

55 

55

d.

' 

L. Tang.

9.32 747 

9. 32 810 

9. 32 872 

9.32 933 

9. 32 995

9. 33 057 

9. 33 119 

9. 33 180 

9. 33 242 

9. 33 303

9.33 365 

9.33426 

9. 33 487 

9. 33 548 

9. 33 609

9.33 670 

9.33 731 

9. 33 792 

9.33-853 

9.33 913

9. 33 974 

9. 34 034 

9. 34 095 

9. 34 155 

9. 34 215

9. 34 276 

9. 34 336 

9.34 396 

9. 34 456 

9. 34 516

9.34576 

9. 34 635 

9. 34 695 

9.34 755 

9. 34 814

9. 34 874 

9. 34 933 

9. 34 992 

"9. 35 051 

9.35 111

9. 35 170 

9. 35 229 

9. 35 288 

9. 35 347 

9. 35 405

9. 35 464 

9. 35 523 

9. 35 681 

9. 35 640 

9. 35 698

9. 35 757 

9. 35 815 

9. 35 873 

9. 35 931 

9. 35 989

9.36 047 

9.36 105 

9. 36 163 

9. 36 221 

9. 36 279 '

9. 36 336

L. Cotg.

c. d.

63 

62 

61 

62 

62

62 

61 

62 

61 

62

61 

61 

61 

61 

61

61 

61 

61 

60 

61

60 

61 

60 

60 

61

60 

60 

60 

60 

60

59 

60 

60 

59 

60

59 

59 

59 

60 

59

59 

59 

59 

58 

59

59' 

58 

59 

58 

59

58 

58 

58 

58 

58

58 

58 

58 

58 

57

c. d.

L. Cotg.

0. 67 253 

0. 67 190 

0.67 128 

0. C7 067 

0. 67 005

0. 66 943 

0. 66 881 

0. 66 820 

0. 66 758 

0. 66 697

0. 66 635 

0. 66 574 

0. 66 513 

0. 66 452 

0. 66 391

C. 66 330 

0. 66 269 

0. 66 208 

0.66 147 

0. 66 087

0. 66 026 

0.65 966 

0. 65 905 

0.65 845 

0. 65 785

0. 65 724 

0. 65 664 

0. 65 604 

0. 65 544 

0.65484

0. 65 424 

0. 65 365" 

0. 65 305 

0. 65 245 

0. 65 186

0. 65 126 

0. 65 067 

0. 65 008 

0. 04 949 

0. 64 889

0. 64 830 

0. 64 771 

0. 64 712 

0. 64 653 

0. 64 595

0. 64 536 

0. 64 477 

0. 64 419 

0. 64 360 

0. 64 302

0. 64 243 

0. 64 185 

0.64 127 

0. 64 069 

0. 64 Oil

0. 63 953 

0. 63 895 

0. 63 837 

0. 63 779 

0. 63 721

0. 63 664

L. Tang.

L. Cos.

9.99 040 

9. 99 038 

9. 99 035 

9. 99 032 

9. 99 030

9. 99 027 

9. 99 024 

9. 99 022 

9. 99 019 

9. 99 016

9. 99 013 

9. 99 Oil 

9. 99 008 

9. 99 005 

9. 99 002

9. 99 000 

9.98 997 

9. 98 994 

9. 98 991 

9. 98 989

9. 98 986 

9. 98 983 

9. 98 980 

9. 98 978 

9. 98 975

9. 98 972 

9. 98 969 

9. 98 967 

9.98 964 

9. 98 961

9. 98 958 

9. 98 955 

9. 98 953 

9.98 950 

9. 98 947

9.98 944 

9.98 941 

9. 98 938 

9. 98 936 

9. 98 933

9. 98 930 

9.98 927 

9. 98 924 

9. 98 921 

9. 98 919

9.98 916 

9. 98 913 

9. 98 910 

9. 98 907 

9. 98 904

9. 98 901 

9. 98 898 

9. 98 896 

9. 98 893 

9. 98 890

9. 98 887 

9. 98 884 

9. 98 881 

9. 98 878 

9. 98 875

9. 98 872

L. Sin.

d.

2 

3 

3 

2 

3

3 

2 

3 

3 

3

2 

3 

3 

3 

2

3 

3 

3 

2 

3

3 

3 

2 

3 

3

3 

2 

3 

3 

3

3 

2 

3 

3 

3

3 

3 

2 

3 

3

3 

3 

3 

2 

3

3 

3 

3 

3 

3

3 

2 

3 

3 

3

3 

3 3' 

3 

3

d.

GO

59 

58 

57 

56

55 

54 

53 

52 

61

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

0

5 

4 

3 

2 

1

0

i

12 0 

56 

52 

48 

44

11 40 

36 

32 

28 

24

11 20 

16 

12 

8 

4

11 0

56 

52 '48 

44

10 40 

36 

32 

28 

24

10 20 

16

1.2 

8 

4

10 0 

66 

52 

48 

44

9 40 

36 

32 

28 

24

9 20 

16 

12 

8 

4

. 9 0

56 

52 

48 

44

8 40 

36 

32 

28 

24

8 20 

16 

12 

8 

4

8 0

m. s.

77? 5h
158 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, ete^Continued. 

Oh 13°

m. s.

52 ' 0 

4 

-8 

12 

16

52 20 

24 

28 

32 

36

52 40 

44 

48 

52 

56

53 0 

4 

8 

12 

16

53 20 

24 

28 

32 

36

53 40 

44 

48 

52 

56

54 0 

4 

8 

12 

16

54 20 

24 

 28 

32 

36

54 40 

44 

48 

52 

56

55 0 

4 

8 

12 

16

55 20 

24 

.28 

32 

36

55 40 

44 

48 

52 

56

56 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. -Sin.

9.35 209 

9. 35 263 

9. 35 318 

9. 35 373 

9. 35 427

9. 35 481 

9. 35 53G 

9. 35 590 

9. 35 644 

9.35 698

9. 35 752 

9. 35 806 

9. 35 860 

9. 35 914 

9. 35 968

9. 36 022 

9. 36 075 

9. 36 129 

9. 36 182 

9.36 236

9. 36 289 

9. 36 342 

9.36 395 

9. 36 449 

9. 36 502

9. 36 555 

9. 36 608 

9.36 660 

9. 36 713 

9. 36. 766

9.36 819 

9. 36 871 

9.36 924 

9. 36 976 

9. 37 028

9.37 081 

9. 37 133 

9.37 185 

9. 37 237 

9. 37 289

9. 37 341 

9. 37 393 

9. 37 445 

9.37 497 

9. 37 549

9. 37 600 

9.37 652 

9.37 703 

9. 37 755 

9.37 806

9. 37 858 

9. 37 909 

9. 37 960 

9. 38 Oil 

9. 38 062

9. 38 113 

9:38 164 

 9. 38 215 

9. 38 266 

9. 38 317

9.38 368

L. Cos.

d.

54 

55 

55 

54 

54

55 

54 

54 

54 

54

54 

54 

54 

54 

54

53 

54 

53 

54 

53

53 

53 

54 

53 '68

53 

52 

53 

53 

53

52- 

53 

52 

52 

53

52 

52 

52 

52 

52

52 

52 

52 

52

51

52 

51 

52 

51 

52

51 

51

L 51 

51 

51

51 

51 

51 

51 

51

d.

L. Tang.

9. 36 336 

9.36 394 

9. 36 452 

9. 36 509 

9. 36 566

9.36 624 

9.36 681 

9. 36 738 

 9.36 795 

9.36 852

9. 36 909 

9. 36 966 

9. 37 023 

9. 37 080 

9. 37 137

9.37 193 

9. 37 250 

9. 37 306 

9. 37 363 

9. 37 419

9. 37 476 

9. 37 532 

9. 37 58S 

9. 37 644 

9.37 700

9. 37 756 

9. 37 812 

9.37 868 

9. 37 924 

9. 37 980

9. 38 035 

9. 38 093 

9. 38 147 

9. 38 202 

9. 38 257

9.38 313 

9.38 368 

9. 38 423 

9. 38 479 

9.38 534

9. 38 589 

9. 38 644 

9. 38 699 

9. 38 754 

9. 38 808

9. 38 863 

9.38 918 

9. 38 '972 

9. 39 027 

9. 39 082

9. 39 136 

9. 39 190 

9.39 245 

9. 39 299 

9. 39 353

9. 39 407 

9. 39 461 

9.39 515 

9. 39 569 

9. 39 623

9. 39 677

L. Cotg.

c.d.

58 

58 

57 

57 

58

57 

57 

57 

57 

57

57 

57 

57 

57 

56

57' 

56 

57 

56 

57

56 

56 

56 

56 

56

56 

56 

56 

56 

55

56 

56 

55 

55 

56

55 

55 

56 

55 

55

55 

55 

55 

54 

55

55 

54 

55 

55 

54

54 

55 

54 

54 

54

54 

54 

54 

54 

54

c.d.

L. Cotg.

0. 63 664 

0. 63 606 

0.63 548 

0. 63 491 

0. 63 434

0.63 376 

0.63 319 

0. 63 262 

0. 63 205 

0. 63 148

0. 63 091 

0. 63 034 

0. 62 977 

0. 62 920 

0. 62 863

0. 62 807 

0. 62 750 

0. 62 694 

0. 62 637 

0. 62 581

0.62 524 

0.62 468 

0. 62 412 

0. 62 356 

0. 62 300

0. 62 244 

0. 62 188 

0. 62 132 

0. 62 076 

0. 62 020

0. 61 965 

0. 61 909 

0. 61 853 

0.61 798 

0.61 743

0. 61 687 

0.61 632 

0. 61 5.77 

0. 61 521 

0. 61 466

0.61 411 

0. 61 356 

0. 61 301 

0.61 246 

0.61 192

0. 61 137 

0. 61 082 

0. 61 028 

0. 60 973 

0. 60 918

0. 60 864 

0. 60 810 

0. 60 755 

0. 60 701 

0. 60 647

0. 60 593 

0. 60 539 

0. 60 485 

0. 60 431 

0. 60 377

0. 60 323

L. Tang.

L. Cos.

9. 98 872 

9. 98 869 

9. 98 867 

9. 98 864 

9. 98 861

9. 98 858 

9/98 855 

9. 98 852 

9. 98 849 

9. 98 846

9.98 843 

9. 98 840 

9. 98 837 

9. 98 834 

9. 98 831

9. 98 828 

9. 98 825 

9. 98 822 

9. 98 819 

9. 98 816

9.98 813 

9. 98 810 

9. 98 807 

9.98 804 

9. 98 801

9. 98 798 

9. 98 795 

9. 98 792 

9. 98 789 

9. 98 786

9. 98 783 

9. 98 780 

9. 98 777 

9. 98 774 

9.98 771

9. 98 768 

9.98 765 

9.98 762 

9. 98 759 

9. 98 756

9. 98 753 

9. 98 750 

9. 98 746 

9.98 743 

9. 98 740

9. 98'737 

9. 98 734 

9. 98 731 

9. 98 728 

9. 98 725

9. 98 722 

9. 98 719 

9. 98 715 

9. 98 712 

9. 98 709

9. 98 706 

9. 98 703 

9. 98 700 

9.98 697 

9. 98 694

9. 98 690

L. Sin.

 d.

'3 

2 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

3 

3 

3 

3

3 

4 

3 

3 

3

3' 

3 

3 

3 

3

3 

4 

3 

3 

3

3 

3 

3 

3

4

d.

60

59 

5857" 

56

55 

54 

53 

52 

51

50

49

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

so;

29 

28 '27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

8 0 

56 

52 

48 

44

7 40 

36 

32 

28 

24

7 20 

16 

12 

8 

4

7 0 

56 

52 

48 

44

6 40 

36 

32

. 28 

24

6 20 

16 

12 

8 

4

6 0 

56 

52 

48 

44

5 40 

36 

32 

28 

24

5 20 

16 

12 

 8 

4

5 0 

56 

52 

4S 

44

4 40 

36 

32

28 

24

4 20 

16 

12 

8 

4

4 0

m. s.

76°
GANNETT.] GEOGKAPH1C TABLES AND FORMULAS. 159

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

Ou 14o

m. s.

'50 0 

4 

8 

12 

1(5

56 20 

24 

28 

32 

36

56 40 

44 

48 

52 

56

57 0 

4 

8 

. 12 

16

57 20 

24 

28 

32 

36

57 40 

44 

48 

52 

56

58 0 

4 

8 

12 

16

58 20 

24 

28 

32 

36

58 40 

44 

48 

52 

56

59 0 

4 

8 

12 

16

59 20 

24 

28 

32 

36

59 40 

44 

48 

52 

56

60 0

'

0

1 

2 

3 

4

5 

C 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

. 32 

33 

34

 35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

62 

53 

54

55 

56 

57 

58 

59

00

L. Sin.

9. 38 368 

9. 38 418 

9. 38 469 

9.38 519 

9. 38 570

9.38 620 

9. 38 670 

9.38 721 

9. 38 771 

'9.38 821

9. 38 871 

9. 38 921 

9. 38 971 

9. 39 021 

9. 39 071

9. 39 121 

9.39 170 

9. 39 220 

9. 39 270 

9. 39 319

9. 39 369 

9. 39 418 

9. 39 467 

9. 39 517 

9. 39 506

9. 39 615 

9. 39 664 

9. 39 713 

9. 39 762 

9. 39 811

9. 39 860 

9. 39 909 

9. 39 958 

9. 40 000 

9. 40 055

9. 40 103 

9.40152 

9. 40 200 

9. 40 249 

9. 40 297

9. 40 346 

9.40 394 

9. 40 442 

9. 40 490 

9. 40 538

9.40 586 

9.40 634 

9. 40 682 

9.40 730 

9. 40 778

9. 40 825 

9. 40 873 

9. 40 921 

9. 40 968 

9. 41 016

9.41 063 

9.41 111 

9.41 158 

9.41 205 

9.41 252

9. 41 300

L. Cos.

d.

50 

51 

50 

51 

50

50 

51 

50 

50 

50

50 

50 

50 

50 

50

49 

50 

50 

49 

50

49 

49 

50 

49 

49

49 

49 

49 

49 

49

49 

49 

48 

49 

48

49 

48 

49 

48 

49

48 

48 

48 

48 

48

48 

48 

48 

48 

47

48 

48 

 17 

48 

47

48 

47 

47 

47 

48

d.

L. Tang.

9.39 677 

9. 39 731 

9. 39 785 

9. 39 838 

9. 39 892

9. 39 945 

9.39 999 

9. 40 052 

9. 40 106 

9. 40 159

9. 40 212 

9. 40 266 

9.40 319 

9. 40 372 

9.40 426

9. 40 478 

9. 40 531 

9. 40 584 

9. 40 630 

9.40 689

9. 40 742 

9.40 795 

9.40 847 

9. 40 900 

9. 40 952

9.41 005 

9. 41 057 

9.41 109 

9.41 161 

9.41 214

9. 11 266 

9. 41 318 

9.41 370 

9.41 422 

9.41 474

9.41 526 

9. 41 578 

9.41 629 

9. 41 681 

9.41 733

9.41. 784 

9.41 836 

9. 41 887 

9.41 939 

9. 41 990

9. 42 041 

9. 42 093 

9.42 144 

9. 42. 195 

9. 42 246

9.42 297 

9.42 348 

9. 42 399 

9. 42 450 

9.42 501

9. 42 552 

9. 42 603 

.9. 42 653 

9.42 704 

9. 42 755

9. 42 805

L. Cotg.

c. d.

54 

54 

53 

54 

53

54 

53 

54 

53 

53

54 

53 

53 

53 

53

53 

53 

52 

53 

53

53 

62 

53 

52 

53

52 

52 

52 

53 

52

52 

52 

52 

52 

52

52 

51 

52 

62 

51

52 

51 

52 

51 

51

52 

51 

51 

51 

51

51 

51 

51 

51 

51

51 

50 

51 

51 

50

c. d.

L. Cotg.

0. 60 323 

0. 60 269 

0. 60 215 

0. 60 162 

.0. 60 1.08

0. 60 055 

0. 60 001 

0.59 948 

0. 59 894 

0. 59 841

0.59 788 

0. 59 734 

0.59 681 

0. 59 628 

0. 59 575

0. 59 522 

0.'59 469 

0. 59 416 

0. 59 304 

0. 59 311

0. 59 258 

0,59 205 

0. 59 153 

0. 59 100 

0. 59 048

0.58 995 

0.58 943 

0. 58 891 

0. 58 839 

0. 58 786

0. 58 734 

0. 68 682 

0. 58 630 

0. 68 578 

0. 68 526

0. 58 474 

0. 58 422 

0. 58 371 

0. 68 319 

0. 58 267

0. 58 216 

0. 58 164 

0. 58 113 

0. 58 061 

0.58 010

0. 5V 959 

0. 57 907 

0. 57 850 

0. 67 £05 

0. 57 754

0. 57 703 

0.57 652 

0.57 601 

0. 57 550 

0. 57 499

0. 57 448 

0.57 397 

0. 57 347 

0. 57 296 

0.57 245

0. 57 195

L. Tang.

L. Cos.

9. 98 690 

9. 98 687 

9:98 084 

9. 98 681 

9. 98 678

9. 98 675 

9. 98 671 

9. 98 668 

9. 98 665 

9. 98 662

9. 98 659 

9.98 056 

9. 98 652 

9. 98 649 

9. 98 646

9. 98 643 

9.98 640 

9. 98 036 

9. 98 633 

9. 98 630

9. 98 627 

9.98 023 

9. 98 620 

9.98 017 

9. 98 614

'9.98 610 

9. 98 607 

9.98 604 

9.98 601 

9. 98 597

9. 98 594 

9. 98 591 

9. 98 588 

9. 98 584 

9. 98 581

9. 98 578 

9. 98 574 

9. 98 571 

9. 98 668 

9. 98 565

9. 98 561 

9. 98 558 

9'. 98 555 

9. 98 551. 

9.98 548

9. 98 545 

9. 98 541 

9. 98 538 

9. 98 535 

9.98 531

9. 98 528 

9. 98 52§ 

9. 98 521 

9. 98 518 

9. 98 515

9. 98 511. 

9.98 508 

9. 98 505 

9. 98 501 

9. 98 498

9. 98 494

L. Sin,

d.

3 

3 

- 3 

3 

3

4 

3 

3 

3 

3

3 

4 

3 

3 

3

3 

4 

3 

3 

3

4 

3 

3 

3 

4

3 

3 

3 

4 

3

3 

3 

4 

3 

3

4 

3 

3 

3 

4

3 

3 

4 

3 

3

4 

3 

3 

4 

3

3 

4 

3 

3 

4

3 

3 

4 

3 

4

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

:to

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

JO

9

8 

7 

6

5 

4 

3 

2 

1

0

'

4 0 

56 

52 

48 

44

3 40 

36 

32 

28 

24

3 20 

10 

12 

8 

4

3 0 

56 

52 

48 

44

2 40 

 '36 

32 

28 

24

2 20 

16 

12 

 8 

4

2 0 

56 

62 

48 

44

1 40 

30 

32 

28 

24

1 20 

16 

12 

8 

4

1 0 

66 

52 

. 48 

44

0 40 

30 

32 

28 

24

0 20 

16 

12 

8 

4

0 0

m. s.

75°
160 GEOGBAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. - 

lh 15°

m. s.

0 0 ' 4 

8 

12 

16

0 20 

24 

28 

32 

36

0 40 

44 

48 

53 

56

1 0 

4 

8 

12 

16

1 20 

24 

28 

32 

36

1 40 

44 

48 "52 

56

2 0 

4 

8 

12 

16

2 20| 

24 

28 

32 

36

2 40 

44 

48

52 

56

3 0 

4 

8 

, 12 

16

3 20 

24 

28 

32 

36

3 40 

44 

48 

52 

56

4 0

'

0

1 

2 

3

 4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33

,34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9.41 300 

9.41 347 

9.41 394 

9.41 441 

9.41 488

9.41 535 

9.41 582 

9.41 628 

9.41 675 

9. 41 722

9.41 768 

9. 41 815 

9. 41 861 

9.41 908 

9. 41 954

9. 42 001 

9. 42 047 

9. 42 093 

9.42 140 

9. 42 186

9.42 232 

9.42 278 

9.42 324 

9.42 370 

9. 42 416

9. 42 461 

9.42 507 

9. 42 553 

9. 42 599 

9. 42 644

9. 42 690 

9. 42 735 

9. 42 781 

9. 42 826 

9. 42 872

9. 42 917 

9. 42 962 

9. 43 008 

9. 43 053 

9. 43 098

9.43 143 

9. 43 188 

9. 43 233 

9. 43 278 

9. 43 323

9. 43 367 

9.43 412 

9. 43 457 

9. 43 502 

9. 43 546

9. 43 591 

9. 43 635 

9.43 680 

9. 43 724 

9. 43 769

9. 43 813 

9. 43 857 

9. 43 901 

9. 43 946 

9. 43 990

9. 44 034

L. Cos.

d.

47

47 

47 

47

47

47 

46 

47

47

47 

' 46 

47 

46

46 

46 

47 

46

46 

46 

46 

46

^.o

46 

46 

46 

45

45 

46 

45 

46

45

45 

46 

45

45

45

45 '45 

45

45

44

45 

45 

45 

44

45

44 

45 

44 

45

44

44 

44 

45

44

44

cl.

L. Tang.

9. 42 805 

9. 42 856 

9. 42 906 

9. 42 957 

9. 43 007

9. 43 057 

9. 43 108 

9.43 158 

' 9. 43 208 

9. 43 258

9. 43 308 

9. 43 358 

9. 43 408 

9.43 458 

9.43 508

9.43 558 

9. 43 607 

9. 43 657 

9. 43 707 

9.43 756

9. 43 806 

9.43 855 

9.43 905 

9. 43 954 

9. 44 004

9. 44 053 

9. 44 102 

9. 44 151 

9. 44 201 

9.44 250

9. 44 299 

9.44 348 

9. 44 397 

9. 44 446 

9.44 495

9.44 544 

9. 44 592 

9. 44 641 

9.44 690 

9. 44 738

9. 44 787 

9. 44 836 

9. 44 884 

9. 44 933 

9. 44 981

9. 45 029 

9. 45 078 

9. 45 126 

9. 45 174 

9. 45 222

9.45 271 

9. 45 319 

9. 45 367 

9. 45 415 

9. 45 463

9.45 511 

9. 45 559 

9.45 606 

9.45 654 

9. 45 702

9. 45 750

L. Cotg.

c. d.

51 

50 

51 

50

50

51 

50 

50 

50

50

50 

50 

50 

50

50

49 

50 

50 

49

49 

50 

49 

50

49 

49 

50 

49

49 

49 

49 

49

49

48 

49 

49 

48

49 

48 

49

 48

48

49

48 

48 

48

48 

48 

48 

48

48

48 

47 

48 

48

48

c. d.

L. Cotg.

0. 57 195 

0. 57 144 

0. 57 094 

0.57 043 

0.56 993

0. 56 943 

0. 56 892 

0.56 842 

0. 56 '792 

0.56 742

0. 56 692 

0. 56 642 

0. 56 592 

0. 56 542 

0.56 492

0.56 442 

0.56 393 

0.56 343 

0. 56 293 

0.56 244

0. 56 194 

0.56 145 

0. 56 095 

0. 56 046 

0.55 996

0. 55 947 

0. 55 898 

0. 55 849 

0.55 799 

0.55 750

0. 55 701 

0. 55 652 

0.55 603 

0. 55 554 

0. 55 505

0.55 456 

0. 65 408' 

0. 55 359 

0. 55 310 

0. 55 262

0.55 213 

0. 55 164 

0. 55 116 

0.55 067 

0.55 019

0. 54 971 

0. 54 922 

0. 54 874 

0. 54 826 

0. 54 778

0. 54 729 

0. 54 681 

0.54 633 

0. 64 685 

0. 54 537

0. 54 489 

0. 54 441 

0. 54 394 

0. 54 346 

0. 54 298

0. 54 250

L. Tang.

L. Cos.

9. 98 494 

9. 98 491 

9. 98 488 

9. 98 484 

9. 98 481

9. 98 477 

9. 98 474 

9. 98 471 

9. 98 467 

9.98 464

9. 98 460 

9. 98 457' 

9. 98 453 

9.98 450 

9. 98 447

9. 98 443 

9. 98 440 

9. 98 436 

9. 98 433 

9. 98 429

9. 98 426 

9. 98 422 

9. 98 419 

C. 98 415 

9. 91. 412

9. 98 409 

9/98 405 

9. 98 402 

9. 98 398 

9. 98 395

9. 98 391 

9. 98 388 

9. 98 384 

9. 98 381 

9. 98 377

9. 98 373 

9. 98 370 

9.98 366 

9. 98 363 

9. 98 359

9.98 356 

9. 98 352 

9. 98 349 

9. 98 345 

9. 98 342

9.98 338 

9. 98 334 

9.98 331 

9.98 327 

9. 98 324

9.98 320 

9. 98 317 

9. 98 313 

9.98 309 

9. 98 306

9. 98 302 

9. 98 299 

9. 98 295 

9.98 291 

9. 98 288

9. 98 284

L. Sin.

d.

3 

3 

4 

3

4

3 

3 

4 

3

3 

4 

3 

3

3 

4 

3 

4

4 

3 

4 

3

4 

3 

4 

3

3 

4 

3 

4

3 

4 

3 

4

4 

3 

4 

3

4

4 

3 

4 

3

4

3 

4 

4 

3

3 

4 

4 

3

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32; 

31i

11

28j 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

,

60 0 

56 

52 

48 

44

59 40 

36 

32 

28 

24

59 20 

16 

12 

8 

4

59 0 

56 

52 

48 

44

58 40 

36 

32 

28 

24

58 20 

16 

12 

8 

4

58 0 

56 

52 

48 

44

57 40 

96 

32

28 

24

57 20 

16 

12

8

4

57 0 

56 

52 

48 

44

66 40 

36 

32

28 

24

56 20 

16

' 12 

8 

4

56 0

111. S.
GANNETT.] .GEOGEAPHIC TABLES AND FOEMULAS. ' 161 

TABUS 21. Mve-place logarithms of circular functions, etc. Continued. 

1" 16°

m. s.

4 0 

4 

8 

12 

16

'4 20 

24 

28 

32 

36

4 40 

44 

48 

52 

56

5 0 

4 

8 

12 

16

5 20 

24 

28 

32 

36

5 40 

44 

48 

52 

56

6 0 

4 

8 

12 

16

6 20 

24 

28 

32 

36

6 40 

44 

48 

52 

56

7 0 

4 

8 

12 

16

7 20 

24 

28 

32 

36

7 40 

44

- 48 

 52 

56

8 0

' 

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

 17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

56 

57 

58 

59

«0

L. Sin.

9. 44 034 

9. 44 078 

9. 44 122 

9. 44 166 

9. 44 210

9. 44 253 

9. 44 297 

9.44 341 

9. 44 385 

9. 44 428

9. 44 472 

9. 44 516 

9. 44 559 

9. 44 602 

9. 44 646

9. 44 689 

9. 44 733 

9. 44 776 

9. 44 819 

9. 44 862

9.44 905 

9.44 948 

9.44 992 

9. 45 035 

9.45 077

9. 45 120 

9.45 163 

9. 45 20G 

9.45 249 

9. 45 292

9.45 334 

9. 45 377 

9.45 419 

9. 45 462 

9. 45 504

9.45 547 

9. 45 589 

9. 45 632 

9.45 674 

9.45 7.16

9.45 758 

9. 45 801 

9.45 843 

9. 45 885 

9. 45 927

9. 45 S69 

9.46 Oil 

9. 46 053 

9.46 095 

9. 46 136

9.46 178 

9. 46 220 

9. 46 262 

9. 46 303 

9.46 345'

9. 40 386 

'9. 46 428 

9.46 469 

9.46 511 

9.46 552

9.46 594

L. Cos

d.

44 

44 

44 

44 

43

44 

44 

44- 

43 

44

44 

43 

43 

44 

. 43

 44 

. 43 

43 

43

<io

43 

44 

43 

42 

43

43 

43 

43 

43 

42

43 

42 

43 

 42 J'^t

42 

43 

42 

42 

42

43 

42 

42 

42 

42

42 

42 

42 

41 

42

42 

42 

41 

42

42 

41. 

42 

41

d.

L. Tang.

9. 45 750 

9. 45 797 

9. 45 845 

9. 45 892 

9. 45 940

9. 45 987 

9.46 035 

9.46 082 

9.46 130 

9.46 177

9.46 224 

9. 46 271 

9.46 319 

9.46 36li 

9. 46 413

9.46 460 

9.46 507 

9. 46 554 

9. 46 601 

9. 46 648

9.46 694 

9.46 741 

9. 46 788 

9.46 835 

9.46 881

9.46 928 

9. 46 975 

9.47 021 

9.47 OC8 

9.47 114

9.47 160 

9. 47 207 

9.47 253 

9.47 299 

9. 47 346

9.47 392 

9.47 438 

9.47 484 

9.47 530 

9.47 576

9. 47 622 

9.47 668 

9.47 714 

9.47 760 

9. 47 806

9. 47 852 

9.47 897 

9.47 943 

9. 47 989 

9. 48 035

9. 48 080 

9.48 126 

9.58 171 

9. 48 217 

9.48 262

9. 48 307 

9.48 353 

9.48 398 

9. 48 443 

9. 48 489

9. 48 534

L. Cotg.

c. d.

47 

48 

47 

48 

47

48 

47 

48 

47 

47

47 

 48 

47 

47

47 

47 

47 

47 

46

47 

47 

47 

46 

47

47 

46 

47 

46 

46

47 

46 

46 

47

46 

46 

46 

46

46 

46 

46 

46 

46

45 

46 

46 

46 

45

46 

45 

46 

45 

45

46 

45 

45 

46 

45

C.d.

L. Cotg.

0. 54 250 

0. 54 203 

0. 54 155 

0.54 108 

0. 54 060

' 0. 54 013 

0.53 965 

0. 53 918 

0. 53 870. 

0. 53 823

0.53 776 

0. 53 729 

0. 53 081 

0. 53 634 

0. 53 587

0. 53 540 

0. 53 493 

0. 53 446 

0. 53 399 

0. 53 352

0. 53 306 

0. 53 259 

0. 53 212 

0. 53 165 

0. 53 119

0. 53 072 

0. 53 025 

0.62 979 

0. 52 932 

0. 52 886

0. 52 840 

0.52 793 

0.52 747 

0.52 701 

0. 52 654

0.52 608 

0. 52 562 

0. 52 516 

0. 52 470 

0. 52 424

0. 52 378 

0.52 332 

0. 52 286 

0. 52 240 

0. 52 194

0. 52 148 

0.52 103 

0. 52 057 

0. 52 Oil 

0.51 965

0.51 920 

0.51 874 

0.51 829 

0.51 783 

0.61 738

0.51 C93 

0.51 647 

0. 51 602 

0.51 557 

0.61 511

0.51 466

L. Tang

.L. Cos.

9. 98 284 

. 9. 98 281 

9. 98 277 

9. 98 273 

9. 98 270

9. 98 266 

9. 98 262 

9.98 259 

9. 98 255 

9. 98 251

9. 98 248 

9.98 244 

9. 98 240 

9. 98 237 

9. 98 233

9. 98 229 

9. 98 226 

9. 98 222 

9.98 218 

9. 98 215

9.98 211 

9. 98 207 

9. 98 204' 

9. 98 200 

9.98 196

9.98 192 

9.98 189 

9.98 185 

9.98 181 

9.98 177

9.98 174 

9. 98 170 

9. 98 166 

9. 98 162 

9. 98 159

9.98 155 

9.98 151 

9. 98 147 

9. 98 144 

9. 98 140

9. 98 136 

9.98 132 

9. 98 129 

9.98 125 

9.98 121

9.98 117 

9.98 113 

9.98 110 

9. 98 106 

9.98 102

9. 98 098 

9. 98 094 

9. 98 090 

9. 98 087 

9. 98 083

9. 98 079 

9.98 075 

9.98 071 

9. 98 067 

9. 98 063

9. 98 060

L. Sin.

d.

3 

4 

4 

3 

4

4 

3 

4 

4 

3

4 

4 

3 

4 

4

3 

4 

4 

3

4 

3 

4 

4 

4

3 

4 

4 

4 

3

4 

4 

4 

3 

4

4 

4 

3 

4 

4

4 

3 

4 

4 

4

4 

3 

4 

4 

4

4 

4 

3 

4 

4

4

 1 

4 

4. 

3

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

,35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

 1 

3 

2 

1

0

'

56 ' 0 

56 

 52 

48 

44

55 40 

36 

32 

28 

24

55 20 

16 

12 

8 

4

55 0 

56 

52 

48 

44

54 40 

36 

32 

28 

24

54 20 

16 

12 

8 

4

54 0 

56 

52 

48 

44

53 40 

36 

32 

28 

24

53 20 

16 

12 

8 

4

53 0 

56 

52 

48 

. 44

52 40 

36 

32 

28 

24

52 20 

16 

12 

8 

4

,52 0

in. s.

73°

Bull. 234 04 11
162 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functwns, etc. Continued. 

lh 17°

m. s.

8 0 

4 

8 

12 

16

8 20 

24 

28 

32 

36

8 40 

44 

.48 

52 

56

9 0 

4 

8 

12 

16

9 20 

24 

28 

32 

36

9 40 

44

48 

52 

56

10 0 

4 

8 

12 

 16

10 20 

24 

28 

32 

36

10 40 

44 

48 

52 

56

11 0 

4 

8 

12 

16

11 20 

24 

28 

32 

36

11 40 

44

48 

52 

56

12 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25' 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

'67 56

58 

59

(10

L. Sin.

9.46 594 

9.46 635 

9.46 676 

9. 46 717 

9.46 758

9.46 800 

9. 46 841 

9. 46 882 

9.46 923 

9. 46 964

9.47 005 

9. 47 045 

9.47 086 

9. 47 127 

9.47 168

9.47209 

9. 47 249 

9.47 290 

9.47 330 

9.47 371

9.47 411 

9.47 452 

9. 47 492 

9.47 533 

9.47 573

9.47 613 

9. 47 654 

9.47 694 

9. 47 734 

9.47 774

9.47 814 

9. 47 854 

9.47 894 

9.47 934 

9.47 974

9.48 014 

9. 48 054 

9. 48 094 

9.48 133 

9. 48 173

9. 4S 213 

9.48 252 

9.48 292 

9. 48 332 

9. 48 371

9.48 411 

9. 48 450 

9. 48 490 

9.48 529 

9. 48 568

9. 48 607 

9. 48 647 

9. 48 686 

9.48 725 

9.48 764

9. 48 803 

9. 48 842 

9. 48 881 

9. 48 920 

'9. 48 959

9.48 998

L. Cos.

d.

41 

41 

41 

41

42

41 

41 

41 

41 

41

40 

41 

41 

41 

41

40 

41 

40 

41 

40

41 

40 

41 

40 

40

41 

40 

40 

40 

40

40 

40 

40 

40 

40

40 

40 

39 

40 

40

39 

40 

40 

39 

40

39 

40 

39 

39 

39

40 

39 

39 

39

OQ

39 

39 

39 

39 

39

d.

L. Tang.

9.48 534 

9.48 579 

9. 48 624 

9.48 669 

9. 48 714

9. 48 759 

9.48 804" 

9. 48 849 

9. 48 894 

9. 48 939

9. 48 984 

9.49 029 

9.49 073 

9.49 118 

9. 49 163

9.49207 

9.49 252 

9. 49 296 

9.49 341 

9. 49 385

9.49 430 

9. 49 474 

9.49 519 

9.49 563 

9.49 607

9.49 652 

9.49 696 

9.49 740 

9.49 784 

9. 49 828

9.49 872 

. 9.49 916 

9.49 960 

9.50 004 

9. 50 048

9. 50 092 

9. 50 136 

9.50 180 

9.50 223 

9. 50 267

9.50 311 

9.50 355 

9. 50 398 

9.50 442 

9.50 485

9. 50 529 

9. 50 572 

9.50 616 

9. 50 659 

9.50 703

9.50 746 

9. 50 789 

9. 50 833 

9. 50 870 

9. 50 919

9. 50 962 

9. 51 005 

9.51 048 

9. 51 092 

9.51 135

9.51 178

L. Cotg.

c. d.

45

45 

45 

 45 

45

45 

45 

45 

45

A^

45 

44 

45 

45 

44

45 

44 

45 

44

AK.

44 

45 

44 

44

45

44 

44 

44 

44 

44

44 

44 

44 

44

44 

44 

43 

44 

44

44 

43 

44 

43 

44

44 

44 

43 

41 

43

43 

44 

43 

43 

43

43 

43 

44 

43

43

c. d.

L. Cotg.

0. 51 466 

0.51 421 

0. 51 376 

0. 51 331 

0. 51 286

0. 51 241 

0. 51 196 

0.51 151 

0.51 106 

0. 51 061

0. 51 016 

0. 50 971 

0. 50 927 

0. 50 882 

0. 50 837

0.50793 

0. 50 748 

0. 50 704 

0. 50 659 

0. 50 015

0. 50 570 

0. 50 526 

0. 50 481 

0. 50 437 

0. 50 393

0. 50 348 

0. 50 304 

0. 50 260 

0. 50 216 

0. 50 172

0. 50 128 

0. 50 084 

0. 50 040 

0.49 996 

0. 49 952

0.49 908 

0. 49 864 

0.49 820 

0.49 777 

0.49 733

0. 49 689 

0.49 645 

0. 49 602 

0.49 558 

0. 49 515

0. 49 471 

0. 49 428 

0.49 384 

0.49 341 

0. 49 297

0.49 254 

0. 49 211 

0.49 167 

0.49 124 

0.49 081

0. 49 038 

0.48 995 

0. 48 952 

0.48 908 

0. 48 865

0. 48 822

L. Tang.

L. Cos.

9. 98 060 

9. 98 056 

9. 98 052 

9.98 048 

9.98 044

9. 98 040 

9. 98 036 

9. 98 032 

9.98 029 

9. 98 025

9.98 021 

9. 98 017 

9. 98 013 

9.98 009 

9. 98 005

9.98001 

 9.97 997 

9.97 993 

9. 97 989 

9. 97 986

9. 97 982 

9. 97 978 

9. 97 974 

9. 97 970 

9. 97 966

9. 97 962 

9.97 958 

9. 97 954 

9. 97 950 

9.97 946

9.97 9)2 

9.97 938 

9. 97 934 

9.97 930 

9.97 926

9.97 922 

9.97 918 

9.97 914 

9.97 910 

9.97 906

9. 97 902 

9. 97 898 

9. 97 894 

9. 97 890 

9. 97 886

9. 97 882 

9. 97 878 

9.97 874 

9. 97 870 

9. 97 866

9.97 861 

9. 97 857 

9. 97 853 

9. 97 849 

9. 97 845

9. 97 841 

9. 97 837 

9.97 833 

9. 97 829 

9. 97 825

9.97 821

L. Sin.

d.

4 

4 

4 

4

4 

4 

3 

4 

4

4 

4 

4 

4 

4

4 

4 

4. 

3

4 

4 

4 

4

4 

4 

4 

4

4 

4 

4 

4

4 

4 

4 

4

4

4 

4 

4

4 

4 

4 

4 

5

4 

4 

4 

4

4

4 

4 

4 

4

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29

28 

27 

26

25 

24 

23 

22 

21

 20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8

7 

6

5 

4 

3 

2 

1

0

/

52 0 

56 

52 

48 

' 44

51 40 

36 

32 

28 

24

51 20 

16 

12 

8 

4

51 0 

56 

52 

48 

44

50 40 

36 

32 

28 

24

50 20 

16 

12 

8 

4

50 0 

56 

52 

48 

44

49 40 

36 

32 

28 

24

49 20 

16

12 

8 

4

49 0 

56 

52 

48 

44

48 40 

36 

32

28 

24

48 20 

16 

. 12 

8 

4

48 0

m. s.

72C
OANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 163 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

lh 18°

111. S.

12 0 

4 

8 

12 

16

12 20 

24 

28 

32 

36

12 40 

44 

48 

52 

56

13 0 

4 

8 

12 

16

13 20 

24 

28 

32 

36

13 40 

44 

48

52 

56

14 0 

4 

8 

12 

16

14 20 

24 

28 

32 

36

14 40 

44 

48 

52 

56

15 0 

4 

8 

12 

16

15 20 

24 

28 

32 

36

15 40 

44

48 

52 

50

16 0

'

0 

1

2

3

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22

 i-O

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

4.6 

47 

48 

49

50

51 

52 

53 

54

'56 55 

57 

58 

59

<>0

L. Sin.

9. 48 998 

9. 49 037 

9.49 076 

9.49 115 

9. 49 153

9.49 192 

9. 49 231 

9. 49 269 

9.49 308 

9. 49 347

9. 49 385 

9. 49 424 

9.49 462 

9. 49 500 

9. 49 539

9. 49 577 

9. 49 615 

9.49 654 

9.49 692 

9. 49 730

9. 49 768 

9. 49 806 

9. 49 844 

9. 49 882 

9.49 920

9. 49 958 

9.49 996 

9. 50 034 

9. 50 072 

9. 50 110

9. 50 148 

9. 50 185 

9. 50 223 

9. 50 261. 

9. 50 298

9. 50 336 

9. 50 374 

9.50 411 

9. 50 449 

9. 50 486

9. 50 523 

9.50 561 

9. 50 59S 

9. 50 635 

9. 50 673

9.50 710 

9. 50 747 

9. 50 784 

9. 50 821 

9. 50 858

9. 50 896 

9.50 933 

9. 50 970 

9.51 007 

9. 51 043

9.51 080 

9. 51 117 

9. 51 354 

9.51 191 

9.51 227

9. 51 264

L. Cos.

d.

39 

39 

39 

38 

39

39 

38 

39 

39

38

39 

33 

38 

39 

38

38 

39 

38 

38 

38

38 

38 

38 

38 

38

 38 

38 

38 

38 

38

37 

38 

38 

37 

38

38 

37 

38 

37

37

38 

37 

37 

38 

37

37 

37 

37 

37 

38

37 

37 

37 

36 

37

37 

37 

37 

36 

37

d.

L. Tang.

9. 51 178 

9. 51 221 

9.51 264 

9. 51 306 

9. 51 349

9.51 392 

9. 51 435 

9. 51 478 

9. 51 520 

9. 51 563

9. 51 606 

9.51 648 

9. 51 691 

9. 51 734 

9.51 776

9. 51 819 

9.51 861 

9.51 903 

9. 51 946 

9. 51 988

9. 52 031 

9. 52 073 

9. 52 115 

9.52 157 

9.52 200

9. 52 242 

9.52 284 

9.52 326 

9. 52 368 

9. 52 410

9. 52 452 

9. 52 494 

9.52 536 

9. 52 578 

9. 52 620

9. 52 661 

9. 52 703 

9. 52 745 

9. 52 787 

9. 52 829

9. 52 870 

9.52 912 

9. 52 953 

9.52 995 

9. 53 037

9. 53 078 

9.53 120 

9. 53 161. 

9. 53 202 

9. 53 244

9. 53 285 

9. 53 327 

9. 53 368 

9. 53 409 

9. 53 450

9. 53 492 

9. 53 533 

9.53 5.4 

9.53 615 

9. 53 656

9. 53 697

L. Cotg.

C.cl.

43 

43 

42 

43 

43

43 

43 

42 

43 

43

42 

43 

43 

42 

43

42 

42 

43 

42 

43

42 

42 

42 

43 

42

42 

42 

42 

42 

42

42 

42 

42 

42 

41

42 

42 

42 

42 

41

42 

41 

42 

42 

41

42 

41 

41 

.42 

41

42 

41 

41. 

41 

42

41 

41 

41 

41 

41.

C.cl.

L. Cotg.

0. 48 822 

0.48 779 

0. 48 736 

0.48 694 

0. 48 651

0. 48 60S 

0. 48 565 

0. 48 522 

0. 48 480 

0. 48 437

0. 48 394 

0. 48 352 

0. 48 309 

0. 48 266 

0. 48 224

0. 48 181 

0. 48 139 

0.48 097 

0. 48 054 

0. 48 012

0. 47 969 

0. 47 927 

0. 47 885 

0. 47 843 

 0.47 800

0.47 758 

0. 47 716 

0.47 674 

0. 47 632 

0. 47 590

0. 47 548 

0. 47 506 

0. 47 464 

0.47 422 

0.47 380

0. 47 339 

0. 47 297 

0. 47 255 

0.47 213 

0.47 171

0.47 130 

0.47 088 

0. 47 047 

0.47 005 

0. 46 963

0.46 922 

0.46 880 

0. 46 839 

0.46 798 

0. 46 756

0.46 715 

0. 46 673 

0. 46 632 

0.46 591. 

0. 46 550

0. 46 508 

0. 46 467 

0. 46 426 

0.46 385 

0. 46 344

0.46 303

L. Tang.

L. Cos.

9.97 821 

9. 97 817 

9. 97 812 

9. 97 808 

9.97 804

9. 97 800 

9. 97 796 

9. 97 792 

9. 97 788 

9.97 784

9.97 779 

9. 97 775 

9.97 771 

9. 97 767 

9. 97 763

9. 97 759 

9. 97 754 

9. 97 750 

9.97 746 

9.97 742

9. 97 738 

9. 97 734 

9.97 729 

9. 97 725 

9. 97 721

9. 97 717 

9. 97 713 

9.97 708 

9. 97 704 

9.97 700

9.97 696 

9. 97 691 

9. 97 687 

9. 97 683 

9. 97 679

9. 97 674 

 9.97 670 

9.97 666 

9.97 662 

9. 97 657

9.97 653 

9. 97 649 

9. 97 645 

9.97 640 

9.97 636

9. 97 632 

9. 97 628 

9. 97 623 

9. 97 619 

9.97 615

9.97 610 

9.97 606 

9. 97 602 

9. 97 597 

9.97 593

9. 97 589 

9. 97 584 

9. 97 580 

9. 97 576 

9. 97 571

9. 97 567

L. Sin.

d.

4

5 

4 

4 

4

4 

4 

4 

4 

5

4 

4 

4 

4 

4

5 

4 

4 

4 

4

4

5 

4 

4 

4

4 

5 

4 

4 

4

5 

4 

4 

4 

5

4 

4 

'5 4 

4

4 

4 

5 

4 

4

4 

5 

4 

4 

5

4 

4 

5 

4 

4

5 

4 

4 

5 

4

d.

GO

59

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

48 0 

56 

52 

48 

44

47 40 

36 

32 

28 

24

47 20 

16 

12 

8 

4

47 0 

66 

52 

48 

44

46 40 

36 

32

28 

24

46 20 

16 

12 

8 

4

46 0 

56 

52 

48 

44

45 40 

36 

32 

28 

24

45 20 

16 

12 

8 

4

45 0 

56 

52 

48 

44

44 40 

36 

32

28 

24

44 20 

16 

12 

8 

4

44 0

m. s.

71°
164 GEOGRAPHIC TABLES AND FORMULAS. . [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Con tinned. 

lh 19°

m. s.

16 0 

4 

8 

12 

16

16 20 

24 

28 

32 

36

16 40 

44 

48 

52 

56

17 0 

4 

8 

12 

16

17 20 

24 

28 

32 

36

17 40 

44 

48 

52 

66

18 0 

4 

8 

12 

16

18 20 

24 

28 

32 

36

18 40 

44 

48 

52 

56

19 0 

4 

8 

12 

16

19 20 

24 

28 

32 

36

19 40 

44 

48 

52 

56

20 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9. 51 264 

9. 51 301 

9. 51 338 

9. 51 374 

9. 51 411

9. 51 447 

9. 51 484 

9. 51 520 

9. 51 557 

9.51 593

9. 51 629 

9. 51 666 

9.51 702 

9.51 738 

9.51 774

9. 51 811 

9. 51 847 

9.51883 

9.51 919 

9. 51 955

9. 51 9C1 

9. 52 027 

9. 52 063 

9. 52 099 

9. 52 135

9.52 171 

9.52 207 

9. 52 242 

9. 52 278 

9. 52 314

9. 52 350 

9. 52 385 

9. 52 421 

9. 52 456 

9. 52 492

9. 52 527 

9. 52 563 

9. 52 598 

9. 52 634 

9.52 669

9. 52 705 

9. 52 740 

9.52 775 

9. 52 811 

9. 52 846

9. 52 881 

9. 52 916 

9:52 951 

9. 52 986 

9. 53 021

9. 53 056 

9. 53 092 

9.53126 

9. 53 161 

9. 53 196

9. 53 231 

9.53 266 

9. 53 301 

9. 53 336 

9. 53 370

9. 53 405

L. Cos.

d.

37 

37 

36 

37 

36

37 

36 

37 

36 

36

37 

36 

36 

36 

37

36 

36 

36 

36 

36

36 

36 

36 

36 

36

36 

35 

36 

36 

36

35 

36 

35 

36 

35

36 

35 

36 

35 

36

35 

35 

36 

35 

35

35 

35 

35 

35 

35

36 

34 

35 

35 

35

35 

35 

35 

34 

35

d.

L. Tang.

9. 53 697 

9. 53 738 

9.53 779 

9. 53 820 

9. 53 861

9. 53 902 

9.53 943 

9. 53 984 

9. 54 025 

9. 54 065

9. 54 106 

9. 54 147 

9.54 187 

9. 54 228 

9. 54 269

9. 54 309 

9.54350 

9.54390 

9. 54 431 

9. 54 471

9. 54 512 

9. 54 552 

9. 54 593 

9. 54 633 

9. 54 67?

9. 54 714 

9. 54 754 

9. 54 794 

9. 54 835 

9. 54 875

9. 54 915 

9.54 95$ 

9. 54 995 

9.55 035 

9. 55 075

9. 55 115 

9. 55 155 

9.55 195 

9.55 2»5 

9.55275

9. 55 315 

9. 55 355 

9. 55 395 

9. 55 434 

9. 55 474

9. 55 514 

9. 55 554 

9. 55 593 

9.55 633 

9. 55 673

9. 55 712 

9. 55 752 

9. 55 791 

9. 55 831 

9. 55 870

9.55 910 

9. 55 949 

9. 55 989 

9. 56 028 

9. 56 067

9. 56 107

L. Cotg.

o. d."

41 

41 

41 

41 

41

41 

41 

41 

40 

41

41 

40 

41 

41 

40

41 

40 

41 

40 

41

40 

41 

40 

40 ' 41

40 

40 

41 

40 

40

40 

40 

40 

40 

40

40 

40 

40 

40 

40

40 

40 

39 

40 

40

40 

39 

40 

.40 

39

40 

39 

40 

39 

40

39 

40 

39 

39 

40

C.d.

L. Cotg.

0. 46 303 

0. 46 262 

0. 46 221 

0. 46 180 

0. 46 139

0. 46 098 

0. 46 057 

0. 46 016 

0. 45 975 

0. 45 935

0. 45 894 

0. 45 853 

0.45 813 

0. 45 772 

0. 45 731

0.45 691 

0. 45 650 

0.45 610 

0. 45 569 

0. 45 529

0.45 488 

0. 45 448 

0. 45 407 

0.45 367 

0. 45 327

0. 45 286 

0.45 246 

0. 45 206 

0.45 165 

0. 45 125

0. 45 085 

0.45 045 

0. 45 005 

0.44 965. 

0. 44 925

0.44 885 

0. 44 845 

0. 44 805 

0.44 765 

0. 44 725

0. 44 685 

0. 44 645 

0. 44 605 

0. 44 566 

0. 44 526

0. 44 486 

0. 44 446 

0. 44 407 

0.44 367 

0. 44 327

0.44288 

0. 44 248 

0. 44 209 

0.44 169 

0. 44 130

0. 44 090 

0. 44 051 

0. 44 Oil 

0.43 972 

0.43 933

0.43-893

L. Tang.

L. Cos.

9. 97 567 

9.97 563 

9. 97 558 

9. 97 554 

9.97 550

9. 97 545 

9. 97 541 

9. 97 536 

9.97 532 

9. 97 628

9. 97 523 

9.97 519 

9.97 515 

9. 97 510 

9.97 506

9. 97 501 

9.97 497 

9. 97 492 

9.97 488 

9. 97 484

9. 97 479 

9. 97 475 

9. 97 470 

9. 97 466 

9. 97 461

9. 97 457 

9.97 453 

9. 97 448 

9.97 444 

9. 97 439

9. 97 435 

9.97 430 

9. 97 426 

9. 97 421 

9. 97 417

9.97 412 

9. 97 408 

9. 97 403 

9.97 399 

-9. 97 394

9. 97 390 

9. 97 385 

9.97 381 

9. 97 376 

9. 97 372

9. 97 367 

9.97 363 

9. 97 358 

9.97 353 

9. 97 349

9. 97 344 

9. 97 340 

9. 97 335 

9. 97 331 

9. 97 326

9.97 322 

9.97 317 

9.97 312 

9.97 308 

9.97 303

9. 97 299

L. Sin.

d.

4 

5 

4 

4 

5

4 

5 

4 

4 

5

4 

4 

5 

4 

5

4 

5 

4 

4

5

4 

5 

4 

5 

4

4 

5 

4 

5 

4

5 

4 

5

4 

5

4 

5 

4 

5 

4

5 

4 

5 

4 

5

4 

5 

5 

4 

5

4 

5 

4 

5 

4

5 

5 

4 

5 

4

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

/

44 0 

56 

62 

48 

44

43 .40 

36 

32 

28 

24

43 20 

16 

12 

8 

4-

43 0 

56 

52 

48 

44

42 40 

36 

32

28 

24.

42 20 

16 

12 

8 

4

42 0 

56 

52 

48 

44

41 40 

36 

32 

28 

24

41 20 

16 

12 

8 

4

41 0 

56 

52 

48 

44

40 40 

36 

32 

28 

24

40 20 

16 

12 

8 

4

40 0

m. s.

70°
GANNETT.] GEOGEAPHIO TABLES AND FOEMULAS. . 165 

TABLE 21. Five-place logarithms of circular functions, etc. Continued.

lu 20°

in. s.

20 0 

4 

 8 

12 

16

20 -20 

24 

28 

32 

36

20 40 

44 

48 

 52 

56

21 0 

4 

- 8 

12 

16

21 20 

24 

28 

32 

36

21 40 

44 

48 

52 

56

22 0 

4 

8 

.12 

16

22 20 

24 

28 

32 

36

22 40 

44 

48 

52 

56

23 0 

4 

8 

12 

16

23. 20 

24 

28 

32 

36

23 40 

44 

48 

52 

56

24 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

65 

56 

57 

58 

.59

CO

L. Sin.

9. 53 405 

9. 53 440 

9. 53 475 

9. 53 509 

9. 53 544

9. 53 578 

9. 53 613 

9. 53 647 

9.53 682 

, 9. 53 716

9. 53 751 

9. 53 785 

9. 53 819 

9. 53- 854 

9.53888

9.53 922 

9.53957 

9. 53 fl91 

9.54 025 

9.54059

9. 54 093 

9. 54 127 

9. 54 161 

9. 54 195 

9.54 229

9.54 263 

9. 54 297 

9. 54 331 

9. 54 365 

9. 54 399

9. 54 433 

9. 54 466 

9. 54 500 

9. 54 634 

9. 54 567

9. 54 601 

9. 54 635 

9. 54 668 

9. 54 702 

9. 54 735

9.54 769 

9. 64 802 

9. 54 836 

9. 54 869 

9.54 903

9.54 936 

9. 54 969 

9. 55 003 

9. 55 036 

9. 55 069

9.55 102 

9. 55 136 

9. 55 169 

9.55202 

9. 55 235

9. 55 268 

9. 55 301 

9. 55 334 

9. 55 367 

9. 55 400

9. 55 433

L. Cos.

d.

35 

35 

34 

35 

34

35 

34 

35 

34 

35

34 

34 

35 

34 

34

35 

34 

34 

34 

34

34 

34 

34 

34 

34

34 

34 

34 

34 

34

33 

34 

34 

33 

34

34 

33 

34 

33 

34

33 

34 

33 

34 

33

33 

34 

33 

33 

33

34 

33 

33 

33 

33

33 

33 

33 

33 

33

d.

L. Tang.

9. 56 107 

9. 56 146 

9. 56 185 

9. 56 224 

9. 56 264

9.56 303 

9.56 342 

9. 56 381 

9. 56 420 

9. 56 459

9. 56 498 

9. 56 537 

9. 56 576 

9.56 615 

9. 56 654

9. 56 693 

9.5C 732 

0. 50 771 

9.56 810 

9. 56 '849

9. 56 887 

9. 56 926 

9. 56 965 

9. 57 004 

9.57 042

9.57 081 

9.57 120 

9.57 158 

9.57 197 

9. 57 '235

9. 57 274 

9. 57 312 

. 9. 57 351 

9.57 389 

9.57 428

9. 57 466 

9. 57 504 

9.57 543 

9.57 581 

9. 57 619

9.57 658 

9.57 696 

9. 57 734 

9.57 772 

9. 57 810

9. 57 849 

9.57 887 

9. 57 925 

9. 57 963 

9. 58 001

9. 58 039 

9. 58 077 

9. 58 115 

.9. 58 153 

9. 58 191

9. 58 229 

9. 58 267 

9.58 304 

9. 58 342 

9.58380

9. 58 418

L. Cotg.

c. d.

39 

39 

39 

40 

39

39 

39 

39 

39 

.39

39 

39 

39 

39 

39

39 

39 

39 

39 

38

39 

39 

39 

38 

39

39 

38 

39 

38 

39

38 

39 

38 

39 

38

38 

39 

38 

38 

39

38 

3s 

38 

38 

 39

38 

38 

38 

38 

38

38 

38 

38 

38 

38

38 

37 

38 

38 

38

c. d.

L. Cotg. '

0.43 893 

0. 43 854 

0.43 815 

0.43 776 

0.43 736

0. 43 697 

0.43 658 

0.43 619 

0.43 580 

0. 43 541

0. 43 502 

0. 43 463 

0. 43 424 

0.43 385 

0. 43 346

0. 43 307 

0.43 268 

0. 43 229 

0.43 190 

0.43 151

0.43 113 

0. 43 074 

0. 43 035 

0. 42 996 

0.42 958

0. 42 919 

0.42 880 

0.42 842 

0.42 803 

0.42 765

0. 42 726 

0. 42 688 

0. 42 649 

0. 42 611 

0.42 572

0. 42 534 

0. 42 496 

0. 42 457 

0. 42 419 

0. 42 381

0. 42 342 

0. 42 304 

0. 42 266 

0. 42 228 

0.42 190

0.42 151 

0.42 113 

0. 42 075 

0. 42 037 

0. 41 999

0. 41 961 

0. 41 923 

0.41 885 

0. 41 847 

0. 41 809

0.41 771 

0. 41 733 

0.41 696 

0. 41 668 

0. 41 620

0.41 582

L. Tang.

L. Cos.

9. 97 299 

9. 97 294 

9. 97 289 

9.97 285 

9.97 280

9. 97 276 

9.97 271 

9.97 266 

9.97 262 

9.97 257

9.97 252 

9. 97 243 

9.97 243 

9. 97 '238 

9.97 234

 9. 97 229 

9. 97 224 

9. 97 220 

9. 97 215 

9. 97 210

9. 97 206 

9. 97 201 

9. 97 196 

9.97 192 

9. 97 187

9. 97 182 

9.97 178 

9. 97 173 

9.97 168 

9. 97 163

9. 97 159 

9. 97 154 

9.97 149 

9.97 145 

9. 97 140

9. 97 135 

9. 97 130 

9.97 126 

9.97 121 

9. 97 116

9. 97 111 

9.97 107 

9.97 102 

9. 97 097 

9.97 092

9. 97 087 

9. 97 083 

9.97 078 

9.97 073 

9.97 068

9.97 063 

9. 97 059 

9.97 054 

9. 97 049 

9. 97 044

9. 97 039 

9. 97 035 

9. 97 030 

9. 97 025 

9. 97 020

9.97.015

L. Sin.

d.

5 

5 

4 

5 

4

5 

5 

4 

5 

5

4 

5 

5 

4

 5

5. 

4 

5 

5 

4

5 

5 

4 

5 

5

4 

5 

5 

5 

4

5 

5 

4 

5 

5

5 

4 

5 

5 

5

4 

5 

5 

5 

5

4 

6 

5 

5 

5

4 

5 

5 

5 

6

4 

5 

5 

5 

5

d.

(iO

59 

58 

57 

56

55 

54 

53 

52 

51

60

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

6 

4 

3 

2 

1

0

/

40 0 

56 

52 

48 

44

39 40 

36 

32 

28 

24

39 20 

16 

12 

8 

4

39 0 

56 

52 

48 

44

38 40 

36 

32 

28 

24

38 20 

16 

12 

8 

4

38 0 

56 

52 

48 

44

37 40 

36 

32 

28 24 '

37 20 

16 

12 

8 

4

37 0 

56 

62 

48 

44

36 40 

36 

32 

28 

24

36 20 

16 

12

. 8 

4

36 0

m. s

69C 4h
 166 . GEOGRAPHIC TABLES AND .FORMULAS. ' [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued.

lh 21°

m. s.

24 0 

4 

8 

12 

.16

24 20 

24 

28 

32 

36

24 40 

44 

48 

52 

56

25 0 

4 

8 

12 

16

25 20 

24 

28 

32 

36

25 40 

44 

48 

52 

56

26 0 

4 

8 

12 

16

26 20" 

24 

28 

32 

36

26 40 

44 

48 

52 

. 56

27 0 

4 

8 

12 

16

27 20 

24 

28 

32 

36

27 40 

44 

48 

52 

56

28 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

62 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9. 55 433 

9. 55 466 

9. 55 499 

9. 55 532 

9. 55 564

9. 55 597 

9.55 630 

9. 55 663 

9.55 695 

9.55 728

9.55 761 

9. 55 793 

9. 55 826 

9. 55 858 

9. 55 891

9. 55 923 

9. 55 956 

9.55 988 

9. 56 021 

9. 56 053

9. 56 085 

9.56 118 

9. 56 150 

9. 56 182 

9. 56 215

9. 56 247 

9. 56 279 

9. 56 311 

9. 56 34? 

9. 56 375

9. 56 408 

9. 56 440 

9.56 472 

9.56 504 

9. 56 536

9.56 568 

9. 56 599 

9.56 631 

9.56 663 

9. 56 695

9.56 727 

9.56 759 

9. 56 790 

9. 56 822 

9. 56 854

9. 56 886 

9.56 917 

9. 56 949 

9. 56 980 

9. 57 012

9.57 044 

9. 57 075 

9.57 107 

9.57 138 

9.57 169

9. 57 201 

9. 57 232 

9.57 264 

9.67 295 

9. 57 326

9.57 358

L. Los.

d;

33 

33 

33 

32 

33

33 

33 

32 

33

OO

32 

33 

32 

33 

32

33 

32 

33 

32 

32

33 

32 

32 

33

qo

32 

32 

32 

32 

33

32 

32 

32 

32 

32

31 

32 

32 

32 

32

32 

 31 

32 

32 

32

31 

32 

31 

32

V)

31 

32 

31 

31 

32

31 

32 

31 

31 

32

d.

L. Tang.

9.58 418 

9. 58 455 

9. 58 493 

9. 58 531 

9. 58 569

9. 58 606 

9.58 644 

9. 58 681 

9. 58 719 

9. 58 757

9.58 794 

9. 58 832 

9. 58 869 

9. 58 907 

9. 58 944

9. 58 981 

9.59 019 

9. 59 066 

9. 59 094 

9.59 131

9.59 168 

9. 59 205 

9. 59 243 

9. 59 280 

9. 59 317

9. 59 354 

9. 59 391 

9. 59 429 

9. 59 466 

9. 59 503

9. 59 540 

9.59 577 

9.59 614 

9. 59 651 

9. 59 688

9.59 725 

9. 59 762 

9,59 799 

9.59 835 

9. 59 872

9. 59 909 

9. 59 946 

9.59 983 

9. 60 019 

9. 60 056

9. 60 093 

9. 60 130 

9.60 166 

9. 60 203 

9. 60 240

9. 60 276 

9.60 313 

9. 60 349 

9.60 386 

9. 60 422

9. 60 459 

9. 60 495 

9. 60 532 

9. 60 568 

9.60 605

9.60 641

L. Cotg.

c. d.

37 

38' 38 

38

07

38 

37 

38 

38

07

38 

37 

38 

37

07

38 

37 

38 

37

07

37 

38 37- 

37 

37

37 

38 

37 

37

07

37 

37 

37 

37 

37

37 

37 

36

37

S7

37 

37 

36 

37 

37

37 

36 

37 

37 

36

37 

36 

37 

36

07

36 

37 

36 

37 

36

c. d.

L. Cotg.

0.41 582 

0.41 545 

0. 41 607 

0. 41 469 

0. 41 431

0.41 394 

0.41 356 

0. 41 319 

0. 41 281 

0. 41 213

0.41 206 

0.41 168 

0.41 131 

0.41 093 

0.41 056

0.41 019 

0. 40 981 

0.40 944 

0.40 906 

0. 40 869

0. 40 832 

0. 40 795 

0. 40 757 

0.40 720 

0. 40 683

0.40 646 

0. 40 609 

0. 40 571 

0. 40 534 

0.40 497

0. 40 460 

0.40 423' 

0. 40 386 

0.40 349 

0.40 312

0.40 275 

0.40 238 

0.-40 201 

0.40 165 

0. 40 128

0. 40 091 

0. 40 054 

0.40 017 

0. 39 981 

0.39 944

0. 39 907 

0. 39 870 

0. 39 834 

0.39 797 

0.39 760

0. 39 724 

0.39 687 

0.39 651 

0.39 614 

0. 39 578

0. 39 541 

0. 39 505 

0. 39 468 

0. 39 432 

0. 39 395

0. 39 359

L. Tang.

 L. Cos.

9.97 015 

9.97 010 

9.97 005 

9. 97 001 

9. 96 996

9.96 991 

9. 96 986 

9. 96 981 

9. 96 976 

9. 96 971

9. 96 966 

9.96 962 

9. 96 957 

9.96 952 

9. 96 947

9. 96 942 

9. 96 937 

9. 96 932 

9. 96 927 

9. 96 922

9. 96 917 

9. 96 912 

9. 96 907 

9. 96 903 

9. 96 898

9. 96 893 

9. 96 888 

9. 96 883 

9. 96 878 

9. 96 873

9. 96 868 

9. 96 863 

9. 96 858 

9. 96 853 

9. 96 848

9. 96 843 

9. 96 838 

9. 96 833 

9. 96 828 

9. 96 823

9. 96 818 

9.90 813 

9.96 808 

9.96 803 

9.96 798

9. 96 793 

9. 96 788 

9. 96 783 

9. 96 778 

9.96 772

9. 96 767 

9. 96 762 

9. 96 757 

9. 96 752 

9.96 747

9.96 742 

9. 96 737 

9. 96 732 

9. 96 727 

9. 96 722

9. 96 717

L. Sin.

d.

5 

5 

4

5 

ft

5 

5 

5 

5 

5

4 

5

5 

5

ft

5 

5 

5 

5 

 5

5 

5 

4 

5 

5

5 

5 

5 

5

5

5

5 

5 

5 

5

5 

5 

5 

5 

5

5 

5 

5 

5 

5

5 

5 

5 

6 

5

5 

5 

5 

5 

ft

5 

5 

5 

5 

5

d.'

CO

59 

58 

67 

56

55 

54 

53 

52 

51

50

49

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

6 

4 

3 

2 

1

0

'

36 0 

56 

52 

48 

44

35 40 

36 

32 

28 

24

35 20 

16

12 

8 

4

35 0 

56

52 

48 

44

34 40 

36 

32 

28 

24

34 20 

16 

12 

8 

4

34 0 

56 

52 

48 

44

33 40 

36 

32 

28 

24

33 20 

16 

12 

8 

4

33 0 

56 

52 

48 

44

32 40 

36 

32 

28 

24

32 20 

16 

12

8 

4

32 0

m. s.
GANNETT.] GEOGRAPHIC TABLES AND FOKMULAS. 167 

TAKCK 21. .Five-place logarillimn of circular functions, etc. Continived. 

lh 22°

in. s.

28 0 

4 

8 

12 

16

28 20 

24 

28 

32 

36

28 40 

44 

48 

52 

56

29 0 

4 

8 

12 

16

29 20 

24 

28 

32 

36

29 40 

44 

48 

52 

56

30 0 

4 

8 

12 

16

30 20 

24 

28 

32 

36

30 40 

44

48 

52 

56

31. 0 

- 4 

8 

12 

16

31 20 

24 

28 

32 

36

31 40 

44 

48 

52 

56

32 0

'

0

1

2 

3

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 23

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50 

51

52 

53 '54

55 

56 

57 

58 

59

00

L. Sin.

9. 57 358 

9. 57 389 

9. 57 420 

9. 57 451 

9.57 482

9.57 514 

9.57 545 

9.57 676 

9. 57 607 

9. 57 638

9. 57 669 

9.57 700 

9.57 731 

9. 57 762 

9.57 793

9. 57 824 

9.57 855 

9.57 885 

9. 67 916 

9. 57 947

9. 57 978 

9. 58 008 

9. 58 039 

9. 58 070 

9. 58 101

9. 58 131 

9. 58 162 

9. 58 192 

9. 58 223 

9. 58 253

9. 58 284 

9.58 314 

9. 58 345 

9. 58 375 

9.58 406

9. 58 436 

9. 58 467 

9. 58 497 

9.58 527 

9. 58 557

9. 58 588 

9. 58 618 

9. 58 648 

9. 58 678 

9. 58 709

9. 58 739 

9. 58 769 

9. 58 799 

9. 58 829 

9.58859

9.58 889 

9.58 919 

9. 58 949 

9.58 979 

9. 59 009

9. 59 039 

9. 59 069 

9. 59 098 

9. 59 128 

9. 59 158

9. 59 188

L. Cos.

d.

31 

31 

31 

31

39

31 

31 

31 

31 

31

31 

31 

31 

31 

31

31 

30 

31 

31 

31

30 

31 

31 

31 

30

31 

30 

31 

30 

31

30 

31 

30 

31 

30

31 

30 

30 

30 

31

30 

30 

30 

31 

30

30 

30 

30 

30 

30

30 

30 

30 

30 

30

30 

29 

30 

30 

30

d.

L. Tang.

9.60 641 

9. 60 677 

9. 60 714 

9. 60 750 

9. 60 786

9. 60 823 

9. 60 859 

9. 60 895 

9. 60 931 

9. 60 967

9.61 004 

9.61 040 

9. 61 076 

9.61 112 

9.61 148

9. 61 184 

9. 61 220 

9. 61 256 

9.61 292 

9.61 328

9.61 364 

9. 61 400 

9.61 436 

9.61 472 

9. 61 508

9,61 544 

9. 61 579 

9. 61 615 

9. 61 651 

9. 61 687

9.61 722 

9.61 758 

9. 61 794 

9. 61 830 

9.61 865

9.61 901 

9.61 936 

9. 61 972 

9. 62 008 

9. 62 043

9. 62 079 

9.62 114 

9.62 150 

9.62 185 

9. 62 221

9,62 256 

9. 62 292 

9.62 327 

9. 62 362 

9. 62 398

9. 62 433 

9.62 468 

9.62 504 

9. 62 539 

9. 62 574

9. 62 609 

9.62 645 

9. 62 680 

9. 62 715 

9. 62 750

9.62 785

L. Cotg.

c. d.

36 

37 

36 

36

37

36 

36 

36 

36 

37

36 

36 

36 

36 

36

36 

36 

36 

36 

36

36 

36 

36 

36 

36

35 

36 

36 

36 

35

36 

36 

36 

35 

36

35 

36 

36 

35 

36

35 

36 

35 

36 

35

36 

35 

35 

36 

35

35 

36 

35 

35 

35

36 

35 

35 

35 

35

c. d.

L. Cotg.

0.39 359 

0. 39 323 

0. 39 286 

0.39 250 

0. 39 214

0. 39 177 

0. 39 141 

0.39 305 

0. 39 069 

0. 39 033

0. 38 996 

0. 38 960 

0. 38 924 

0. 38 888 

0. 38 852

0. 38 816 

0.38 780 

0. 38 744 

0. 38 708 

0. 38 672

0.38 636 

0. 38 600 

0. 38 564 

0. 38 528 

0. 38 492

0. 38 456 

0. 38 421 

0. 38 385 

0. 38 349 

0.38 313

0. 38 278 

0. 38 242 

0. 38 206 

0. 38 170 

0. 38 135

0. 38 099 

0. 38 064 

0. 38 028 

0.37 992 

0. 37 957

0. 37 921 

0. 37 886 

0. 37 850 

0. 37 815 

0.37 779

0. 37 744 

0. 37 708 

0.37 673 

0.37 638 

0. 37 602

0.37 567 

0. 37 632 

0.37 49C 

0. 37 461 

0. 37 426

0. 37 39} 

0.37 355 

0.37 320 

0. 37 285 

0. 37 250

. 0. 37 215

L. Tang.

L. Cos.

9. 96 717 

9.96 711 

9. 96 706 

9. 96 701 

9. 96 696

9. 96 691 

9. 96 686 

9. 96 681 

9.96 676 

9. 96 670

9. 96 665 

9. 96 660 

9. 96 655 

9. 96 650 

9.96 645

9. 96 640 

9. 96 634 

9. 9C 629 

9.96 624 

9.96 619

9. 96 614 

.9.96 608 

9. 96 603 

9. 96 598 

9. 96 593

9. 96 588 

9.96 582 

9. 96 577 

9.96 572 

9. 96 567

9.96 562 

9. 96 556 

9. 96 551 

9. 96 546 

9. 96 541

9. 96 535 

9. 96 530 

9. 96 525 

9.96 520 

9.96 514

9. 96 509 

9. 96 504 

9. 96 498 

9. 96 493 

9.96 488

9. 96 483 

9. 96 477 

9. 96 472 

9. 96 467 

9.96 461

9.96 456 

9.96 451 

9. 96 445 

9. 96 440 

9. 96 435

9. 96 429 

9. 96 424 

9. 96 419 

9. 96 413 

9. 96 408

9.96 403

L. Sin.

d.

6 

5 

5 

5

5

5 

5 

5 

6 

5

5 

5 

5 

5 

5

6 

5 

5 

5

5

6 

5 

5 

5 

5

6 

5 

5 

5

5

6 

5 

5 

5 

6

5 

5 

5 

6 

5

5 

6 

5 

5 

5

6 

5 

5 

6 

5

5 

6 

5 

5 

6

5 

5 

6 

5 

5

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

28' 29 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

10

15 

14 

13 

12 

11.

1.0

9

8 

7 

6

5 

4 

3 

2 

1

0

'

82 0 

56 

52 

48 

44

31 40 

36 

32 

28 

24

31 20 

16 

12 

8 

4

31 0 

56 

52 

48 

44

30 40 

36 

32 

28 

24

30 20 

16 

12 

8 

4

30 0- 

56 

52 

48 

44

29 40 

36 

32 

28 

24

29 20 

16 

12 

 8 

4

29 0 

66 

52 

48 

44

28 40 

36 

32 

28 

24

28 20 

16 

 12 

8 

4

28 0

m. s.

67°
168 GEOGRAPHIC TABLES AND FORMULAS. . [BUM,.284.

TABLE 21. Five-place logarithms of circular functions, etc. Continued.

1" 23°

m. s.

32 0 

4

8 

12 

10

32 20 

24 

28 

32 

36

32 40 

44 

48 

52 

56

33 0 

4 

8 

12 

16

33 20 

24 

28 

32 

36

33 40 

44 

48 

52 

. 56

34 0 

4 

8 

12 

16

34 20 

24 

28 

32 

36

34 40 

44 

48 

52 

56

35 0 

4 

8 

12 

16

'35 20 

24 

28 

32 

36

35 40 

44 

48 

52 

56

36" 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

2021' 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9. 59 188 

9. 59 218 

9. 59 247 

9. 59 277 

9. 59 307

9. 59 336 

9:59 366 

9. 59 396 

9. 59 425 

9. 59 455

9.59 484 

9. 59 614 

9.59 543

9.59573 

9. 59 602

9. 59 632 

9. 59 661 . 

9. 69 690 

9. 59 720 

9. 59 749

9.59 778 

9. 59 808 

9. 59 .837 

9. 59 866 

9. 59 895

9. 59 924 

9. 59 954 

9. 59 983 

9. 60 012 

9. 60 041

9. 60 070 

9. 60 099 

9.60 128 

9. 60 157 

9. 60 186

9. 60 215 

9. CO 244 

9. 60 273 

9. 60 302 

9. 60 331

9. 60 359 

9. 60 388 

9. 60 417 

9. 60 446 

.9.60 474

9. 60 503 

9. 60 532 

9. CO 561 

9. 60 589 

9. 60 618

9. 60 646 

9. 60 675 

9. 60 704 

9.60 732 

9. 60 761

9. 60 789 

9. 60 818 

9. 60 846 

9. 60 875 

9. 60 903

9. 60 931

L. Cos.

d.

30 

29 

30 

30 29'

30 

30 

29 

30 

29

30 

29 

30 

29 

30

29 

29 

30 

29 

29

30 

29 

29 

29 

29

30 

29 

29 

29 

29

29 

29 

29 

29 

29

29 

29 

29 

29 

28

29 

29 

29 

28 

29

29 

29 

28 

29 

28

29 

29 

28 

29 

28

29 

28 

29

28 

28

cl.

L. Tang.

9. 62 785 

9.62 820 

9.62 855 

9. 62 890 

9. 62 926

'9.62 961 

9.62 996 

' 9. 63 031 

9. 63 066 

9. 63 101

9. 63 135 

9.63 170 

9.63 205 

9.63 240 

9. 63 275

9. 63 310 

9.63 345 

9. 63 379 

9. 63 414 

9. 63 449

9. 63 484 

9. 63 519 

9. 63 553 

9.63 588 

9. 63 623

9. 63 657 

9. 63 692 

9. 63 726 

9. 63 761 

9.63 796

9. 63 830 

9. 63 865 

. 9. 63 899 

9. 63 934 

9. 63 968

9. 64 003 

9. 64 037 

9.64 072 

9.64 106 

9. 64 140

9. 64 175 

9. 64 209 

9. 64 243 

9. 64 278 

9. 64 312

9. 64 346 

9. 64 381 

9. 64 415 

9. 64 449 

9. 64 483

9. 64 517 

9. 64 552 

9.64 586 

9.64 620 

9.64 654

9.64 688 

9.64 722 

9.64 756 

9.64 790 

9. 64 824

9. 64 858

L. Cotg.

c. d.

35 

35 

35 

36 

35

35 

35 

35 

35

 M

35 

35 

35 

35 

35

35 

34 

35 

35 

35

35 

34 

35 

35 

34

35 

34 

35 

35

34

35 

34 

35 

34

OK

34 

35 

34 

34

OC

34 

34 

35 

34 

34

35 

34 

34 

34 

34

35 

34 

34 

34 

Sd

34 

34 

34 

34

c. d.

L. Cotg.

0.37 215 

0.37 180 

0.37 145 

0.37 110 

0. 37 074

0. 37 039 

0. 37 004 

0.36 969 

0. 36 934 

0. 36 899

0. 36 865 

0. 36 830 

0. 36 795 

0. 36 760 

0. 36 725

0. 36 690 

0. 36 655 

0. 36 621 

0. 36 586 

0. 36 551

' 0. 36 516 

0. 36 481 

 0. 36 447 

0. 36 412 

0. 36 377

0. 36 343 

0. 36 308 

0. 36 274 

0. 36 239 

0. 36 204

0. 36 170 

0.36 135 

0. 36 101 

0. 36 066 

0.36 032

0. 35 997 

0. 35 963 

0. 35 928 

0.35 894 

0. 35 860

0. 35 825 

0. 35 791 

0. 35 757 

0. 35 722 

0. 35 688

0. 35 654 

0.35 619 

0. 35 585 

0. 35 551 

0. 35 517

0.35483 

0. 35 448 

0.35 414 

0. 35 380 

0.-35 346

0. 35 212 

0. 35 278 

0.35 244 

0.35 210 

0. 35 176

0.35 142

L. Tang.

- L. Cos.

9. 96 403 

9. 96 397 

9. 96 392 

9. 96 387 

9. 96 381

9. 96 376 

9.96 370 

9.96 365 

9. 96 360 

9-96 354

9. 96 349 

9. 96 343 

9. 96 338 

9.96 333 

9. 96 327

9. 96 322 

9. 96 316 

9. 96 311 

9. 96 305 

9. 96 300

9. 96 294 

9. 96 289 

9. 96 284 

9. 96 278 

9. 96 273

9. 96 267 

9. 96 262 

9. 96 256 

9. 96 251 

9. 96 245

9. 96 240 

9. 96 234 

9. 96 229 

9. 96 223 

9. 96 218

9. 96 212 

9. 96 207 

9. 96 201 

9. 96 196 

9. 96 190

9. 96 185 

9. 96 179 

9.96 174 

9. 96 168 

9.96 162

9.96 157 

9.96 151 

9. 96 146 

9. 96 140 

9. 96 135

9. 96 129 

9.96 123 

9. 96 118 

9.96 112 

9. 96 107

9. 96 101 

9.96 095 

9.96 090 

9.96 084 

9.96 079

9. 96 073

L. Sin.

cl.

6 

5 

5 

6

5

G 

5 

5 

6 

5

6 

5 

5 

6 

5

6 

5 

6 

5 

6

5 

5 

6 

5 

fi

5 

6 

5 

6 

5

6 

5 

6 

5 

fi

5 

6 

5 

.. 6 

.5

6 

5 

6 

6 

5

6 

5 

6 

5 

6

6 

5 

6 

. 6 

6

6 

5 

6 

5 

6

d.

GO

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

 35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

1C

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

' 0

'

28 0 

56 

52

48 

44

27 40 

' 36 

32 

28 

24

27 20 

16 

12 

8 

4

27 0 

56 

52 

48 

44

26 40 

36 

32

28 

. 24

26 20 ]6' 

12

8 

4

26 0 

56 

52 

48 

44

25 40 

36 

32

28 

24

25 20 

16 

12 

8 

4

25 0 

56 

52 

48 

44

24 40 

36 

32 

28 

24

24 20 

16 

]2 

8 

4

24 0

m. s.

66°
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 169 

TABLE 2.1. Five-place logarithms of circular functions, etc. Continued. 

1" 24°

in. s.

8(1 Q 

4 

8 

12 

16

36 20 

24 

28 

32 

36

36 40 

44 

48 

52 

56

37 0 

4 

8 

12 

16

37 20 

24 

28 

32 ' 36

37 40 

44 

48 

52 

56

38 0 

4 

8 

12 

16

38 20 

24 

28 

32 

36

38 40 

44 

48 

52 

56

39 0 

4 

8 

12 

16

39 20 

24 

28 

32 

36

39 40 

44 

48 

52 

56

40 0

'

0

1 '2 

3 

4

5 

6 

7 

8 

9

10

11

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

9. 60 931 

9. 60 960 

9. 60 988 

9. 61 016 

9. 61 045

9. 61 073 

9. 61 101 

9. 61 129 

9. 61 158 

9. 61 186

9. 61 214 

9. 61 242 

9. 61 270 

9. 61 298 

9. 61 326

9.61 354 

9. 61 382 

9. 61 411 

9. 61 438 

9. 61 466

9.61 494 

9. 61 522 

9.61 550 

9.61 578 

9.61 606

9.61 634 

9. 61 662 

9. 61 689 

9.61 717 

9.61 745

9. 61 773 

9. 61 800 

9.61 82§ 

9. 61 856 

9.61 883

9.61 911 

9.61 939 

9.61 966 

9.61 994 

9. 62 021

9.62 049 

9. 62 076 

9.62 104 

9.62 131 

9. 62 159

9.62 186 

9.62 214 

9. 62 241 

9. 62 268 

9. 62 296

9. 62 323 

. 9. 62 350 

9.62 377 

9.62 405 

9.62 432

9. 62 459 

9. 62 486 

9. 62 513 

9. 62 541 

9. 62 568

9. 62 595

'L.Cos.

d.

29 

28 

28 

29

ZO

28 

28 

29 

28

Zo

28 

28 

28 

28

^o

28 

29 

27 

28

zo

28 

28 

28 

28

Zo

28 

27 

28 

28

ZO

27 

28 

28 

27

Zo

28' 

27 

28 

27

Zo

27 

28 

27 

28

27

28 

27 

27 

28

27

27 

27 

28 

27

27

27 

27 

28 

27

d.

L. Tang.

9. 64 858 

9. 64 892 

9. 64 926 

9. 64 960 

9. 64 994

9. 65 028 

9. 65 062 

9. 65 096 

9. 65 130 

9.65 164

9. 65 197 

9.65 231 

9. 65 265 

9. 65 299 

9. 65 333

9. 65 366 

9.65400 

9. 65 434 

9. 65 467 

9. 65 501

9. 65 535 

9. 65 568 

9. 65 602 

9. 65 636 

9. 65 669

9. 65 703 

9.65 736 

9.65 770 

9. 65 803 

9. 65 837

9.65870 

9.65 904 

9. 65 937 

9. 65 971 

9. 66 004

9. 66 038 

9. 66 071 

9. 66 104 

9.66 138 

9. 66 171

9. 66 204 

9. 66 238 

9. 66 271 

9. 66 304 

9. 66 337

9. 66 371 

9. 66 404 

9. 66 437 

9. 66 470 

9. 66 503

9. 66 537 

9. 66 570 

9.66 603 

9. 66 636 

9. 66 669

9.66 702 

9. 66 735 

9. 66 768 

9.66 801 

9. 66 834

9.66 867

L. Cotg.

c. d.

34 

34 

34 

34 

34

34 

34 

34 

34

34 

34 

34 

34

34 

34 

33 

34

34

33 

34 

34 

33

33 

34 

33 

34

33

34 

33 

34 

33 

34

33 

33 

34 

33

34 

33 

33 

33

33 

33 

33 

33

33 

33 

33 

33

33 

33 

33 

33

c. d.

L. Cotg.

0. 35 142 

0. 35 108 

0. 35 074 

0. 35 040 

0. 35 006

0.34 972 

0.34 938 

0. 34 904 

0. 34 870 

0. 34 836

0. 34 803 

0. 34 769 

0. 34 735 

0. 34 701 

0. 34 667

0. 34 634 

0. 34 600 

0. 34 566 

0. 34 533 

0. 34 499

0. 34 465 

0. 34 432 

0. 34 398 

0. 34 364 

0. 34 331

0. 34 297 

0.34 264 

0. 34 230 

0. 34 197 

0. 34 163

0.34 130 

0. 34 096 

0. 34 063 

0.34 029 

.0.33 996

0. 33 962 

0. 33 929 

0. 33 896 

0. 33 862 

0. 33 829

0. 33 796 

0.33 762 

0.33 729 

0. 33 696 

0.33 663

0. 33 629 

v 0. 33 596 

 0. 33 563 

0. 33 530 

0.33 497

0. 33 463 

0. 33 430 

0.33 397 

0.33 364 

0. 33 331

0.33 298 

0. 33 265 

0. 33 232 

0.33 199 

0. 33 166

0. 33 133

L. Tang.

L. Cos.

9. 96 073 

9. 96 067 

9. 96 062 

.9.96 056 

9. 96 050

9. 96 045 

9. 96 039 

9. 96 034 

9. 96 028 

9. 96 022

9. 96 017 

9. 96 Oil 

9. 96 005 

9. 96 000 

9. 95 994

9. 95 988 

9.95 982 

9,95 977 

9.95 971 

9. 95 965

9. 95 960 

9. 95 954 

9. 95 948 

9. 95 942 

9. 95 937

9. 95 931 

9. 95 925 

9. 95 920 

9. 95 914 

9. 95 908

9. 95 902 

9. 95 897 

9. 95 891 

9. 95 885 

9. 95 879

9. 95 873 

9. 95 868 

9. 95 862 

9. 95 856 

9. 95 850

9.95 844 

9. 95 839 

9. 95 833 

9. 95 827 

9. 95 821

9. 95 815 

9. 95 810 

9. 95 804 

9.95 798 

9.95 792

9. 95 786 

9. 95 780 

9.95 775 

9.95 769 

9.95 763

9.95 757 

9.95 751 

9.95 745 

9.95 739 

9. 95 733

9.95 728

L. Sin.

d.

6 

5 

6 

6

6 

5 

6 

6

5

6 

6 

5 

6

6 

5 

6 

6

6 

6 

6 

5

6 

5 

6 

6

5 

6 

6 

6

5 

6 

6 

6

5' 

6 

6 

6

5 

6 

6 

6

6 

5 

6 

6

 6 

6 

6 

6

5

d.

00

59 

58 

57 

50

55 

54 

53 

52 

51

50

49 

48 

47 

46

46 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

80

29 

28 

27 

26

25 

24 

23 

22 

21

20

 19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

24 0 

56 

52 

48 

44

23 40 

36 

32 

28 

24

23 20 

16 

12 

8 

4

23 0 

56 

52 

48 

44

22 40 

36 

32 

28 

24

22 20 

16 

12 

8 

4

22 0 

56 

52 

48 

44

21 40 

30 

32 

28 

24

21 20 

16 

12 

8 

4

21 0 

56 

52 

48 

44

20 40 

36 

32 

28 

24

20' 20 

16 

12 '8 

4 '

20 0

in. s.

65°
170 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

lh 25°

m. s.

40 0 

4 

8 

12 

16

40 20 

24 

28 

32 

36.

40 40 

44 

48 

52 

56

41 0 

4 

8 

12 

16

41 20 

24 

28 

32 

36

41 40 

44 

48 

52 

56

42 0 

4 

8 

12 

16

42 20 

24 

28 

32 

36

42 40 

44 

48 

52 

56

43 0 

4 

8 

12 

16

43 20 

24 

28 

32 

36

43 40 

44

48 

52 

56

44 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

33 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

9. 62 595 

9.62 622 

9. 62 649 

9. 62 676 

9. 62 703 

9. 62 730 

9. 62 757 

9. 62 784 

9. G2 811 

9. 62 838

9. 62 865 

9.62 892. 

9. 62 918 

9. 62 945 

9. 62 972

9. 62 999 

9. 63 026 

9.63052 

9. 63 079 

9. 63 106

9. 63 133 

9. 63 159 

9. 63 186 

9. 63 213 

9. 63 239

9. 63 266 

9. 63 292 

9. 63 319 

9. 63 345 

9. 63 372

. 9. 63 398 

9. 63 425 

9. 63 451 

9. 63 478 

9. 63 504

9. 63 531 

9. 63 557 

9. 63 583 

9. 63 610 

9.63 636

9. 63 662 

9.63 689 

9.63 715 

9. 63 741 

9. 63 707

9. 63 794 

9. 63 820 

9. 63 846 

9. 63 872 

9. 63 898

9. 63 924 

9. 63 950 

9. 63 976 

9. 64 002 

9. 64 028

9. 64 054 

9. 64 080 

9. 64 106 

9. 64 132 

9. 64 158

9. 64 184

L. Cos.

d.

27 

27 

27 

27 

27

27 

27 

' 27 27

27

27 

26 

27 

27 

. 27

27 

26 

27 

27

26 

27 

27 

26

27

26 

27 

26 

27

26

27 

26 

27 

26

27

26 

26 

27 

26

26

27 

26 

26 

26

27

26 

26 

26 

26

26

26 

26 

26 

26

26

26 

26 

26 

26

26

d.

L. Tang.

9. 66 867 

9. 66 900 

9. 66 933 

9. 66 966 

9. 66 999

9. 67 032 

9. 67 065 

9.67 098 

9. 67 131 

9.67 163

9. 67 196 

9. 67 229 

9. 67 262 

9. 67 295 

9.67 327

9. 67 360 

9. 67 393 

9.67426 

9. 67 458 

9,67 491

9. 67 524 

9. 67 556 

9. 67 589 

9. 67 622 

9. 67 654

9. 67 687 

9. 67 719 

9.67 752 

9. 67 785 

9.67 817

9. 67 850 

9. 67 882 

9. 67 915 

9.67 947 

9.67 980

9. 68 012 

9. 68 044 

9. 68 077 

9. 68 109 

9.68 142

9. 68 174 

9. 68 206 

9. 68 239 

9. 68 271 

9. 68 303

9. 68 336 

9. 68 368 

9. 68 400 

9. 68 432 

9. 68 465

9. 68 497 

9. 68 529 

9. 68 561 

9. 68 593 

9. 68 626

9. 68 658 

9.68 690 

9.68 722 

9. 68 754 

9. 68 786

9. 68 818

L. Cotg.

c. d.

33 

33 

33 

33

33 

33 

33 

32

33 

33 

33 

32

33

Q9GO

32 

33

DO

32 

33 

33 

32

00

32 

33 

33 

32

oo

32 

33 

32 

33

o^

32 

33 

32 

33

32 

33 

32 

32

OO

32 

32 

32 

33

32 

32 

32 

33

32

32 

32 

32 

32

c. d.

L. Cotg.

0. 33 133 

0. 33 100 

0. 33 067 

0. 33 034 

0. 33 001

0.32 968 

0. 32 935 

0. 32 902 

0. 32 869 

0. 32 837

0. 32 804 

0. 32 771 

0. 32 738 

0. 32 705 

0. 32 673

0. 32 640 

0. 32 607 

0.32574 

0. 32 542 

0. 32 509

0. 32 476 

0. 32 444 

0. 32 411 

0. 32 378 

0. 32 346

0. 32 313 

0. 32 281 

0. 32 248 

0. 32 215 

0. 32 183.

6. 32 150 

0. 32 118 

0.32 085 

0. 32 053- 

0. 32 020

0. 31 988 

0.31 956 

0. 31 923 

0. 31 891 

0. 31 858

0. 31 826 

0.31 794 

0.31761 

0. 31 729 

0. 31 697

0. 31 664 

0. 31 632 

0. 31 600 

0. 31 568 

0. 31 535

0.31 503 

0.31 471 

0. 31 439 

0.31 407 

0. 31 374

0.31 342 

0. 31 310 

0.31 278 

0. 31 246 

0. 31 214

0.31 182

L. Tang.

L. Cos.

9. 95 728 

9. 95 722 

9. 95 716 

9.95 710 

9. 95 704

9. 95 698 

9.95 692 

9. 95 686 

9. 95 680 

9. 95 674

9. 95 668 

9. 95 663 

9.95 657' 

9. 95 651 

9. 95 645

9. 95 639 

9. 95 633 

9.95627 

9. 95 621 

9. 95 615

9. 95 609 

9.95 603 

9. 95 597 

9. 95 591 

9.95 585

9. 95 579 

9. 95 573 

9. 95 567 

9. 95 5-.1 

9. 95 555

9. 95 549 

9. 95 543 

9. 95 537 

9. 95 531 

9. 95 525

9. 95 519 

9.95 513 

9. 95 507 

9. 95 500 

9. 95 494

9. 95 488 

9. 95 482 

9. 95 476 

9. 95 470 

9. 95 464

9. 95 458 

9. 95 452 

9. 95 446 

9. 95 440 

9. 95 434

9. 95 427 

9.95 421 

9.95 415 

9. 95 409 

9. 95 403

9. 95 397 

9. 95 391 

9.95 384 

9. 95 378 

9. 95 372

9. 95 366

L. Sin.

d.

6 

6 

6 

6

6 

6 

6 

6

5 

6 

6 

6

6 

6 

6 

6

6 

6 

6 

6

6 

6 

6 

6

6 

6 

6 

6

6 

6 

7 

6

6 

6 

6 

6

6 

6 

6 

6

6 

6 

6 

6

6 

7 

6 

6 

6

d.

CO

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

20 0 

56 

52 

48 

44

19 40 

36 

32

28 

24

19 20 

16 

12

8 

4

19 0 

56 

52 

48 

44

18 40 

36 

32 

28 

.24

18 20 

16 

12 

8 

4

18 0 

56 

52 

48 

44

17 40 

36 

32 

28 

24

17 20 

16 

12

8 

4

17 0 

56 

52 

48 

44

16 40 

36 

32 

28 

24

16 20 

16 

12 

8 

4

16 0

m. s.

64C
GANNETT.] GEOGRAPHIC TABLES FORMtlLAS. 171

TA.UU2 21. .Pive-place loycmlhma of circular functions, etc. Continued.

lh 26°

m. s.

44 0 

4 

8 

12 

16

44 20 

24 

28 

32 

36

44 40 

44 

48 

52 

 56

45 0 

4 

8 

12 

16

 45 20 

24 

28 

32 

36

45 40 

44 

48 52' 

56

46 0 

4 

8 

12 

10

46 20 

24 

28 

32 36'

46 40 

44

48 

52 

56

47 0 

4 

8 

12 

16

47 20 

24 

28 

32 

36

47 40 

44 

48 

52 

66

48 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11

12 

13 

14

15 

16 

17 

18 

19

20

21. 

22 

23 

24

25 

26 

27 28' 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9. 64 184 

9. 64 210 

9. 64 236 

9. 64 262 

9. 64 288

9. 64 313 

9. 64 339 

9. 64 305 

9. 64 391 

9. 64 417

9. 64 442 

9. 64 468 

9. 64 494 

9.64 5.19 

9. 64 545

9. 64 571 

9. 04 596 

9. 64 622 

9. 64 647 

9. 64 673

9. 64 698 

9.64 724 

9. 64 749 

9:64 776 

9.64 800

9. 64 826 

9. 64 851 

9. 64 877 

9. 64 902 

9; 64 927

9. 64 953 

9. 64 978 

9. 06 003 

9. 05 029 

9. 65 054

9. 65 079 

9. 65 104 

9.65 130 

9.65 155 

9. 65 180

9. 65 205 

9. 05 230 

9. 05 255 

9. 65 281 

9. 65 306

9. 65 331 

9. 65 356 

9. 65 381 

9. 05 406 

9. 05 431

9. 65 456 

9. 65 481 

9. 65 506 

9. 65 531 

9. 65 556

9. 65 58Q 

9. 65 605 

9. 65 63Q 

9. 65 655 

9. 05 080

9. 65 705

L. Cos.

d.

26 

26 

26 

26

?5

26 

26 

26 

26 

?5

26 26' 

25 

26 

26

25 

26 

25 

26 25-

26 

25 

26 25' 

26

25' 

26 

25 

25 

ffi

25 

25 

26 

25 

25

25 

26 

25 

25 

25

25 

25 

26 

25 

25

25 

25 

25 

25 

25

25 

25 

25 

25 

24

25 

25 

25 

25 

25

d.

L. Tang.

9. 68 818 

9. 68 850 

9. 68 882 

9. 68 914 

9. 68 946

9. 68 978 

9. 69 010 

9.69 042 

9. 69 074 

9. 69 100

9. 69 138 

9. 69 170 

9. 69 202 

9. 69 234 

9. 69 266

9. 69 298 

9. 69 329 

9. 69 361 

9. 69 393 

9. 69 425

. 9. 69 457 

9. 69 488 

9. 69 520 

9. 69 552 

9. 69 584

9. 69 615 

9. 69 647 

9. 69 679 

9.69 710 

9. 69 742

9. 69 774 

9. 69 805 

9.69 837 

9. 69 868 

9. 69 900

9. 69 932 

9.69 963 

9. 69 995 

9. 70 026 

9. 70 058

9. 70 089 

9. 70 121 

9. 70 152 

9. 70 184 

9. 70 215

9.70247 

9.70 278 

9. 70 309 

9. 70 341 

9. 70 372

9.70 404 

9. 70 435 

9. 70 466 

9. 70 498 

9. 70 529

9. 70 560 

9. 70 592 

9. 70 623 

9. 70 654 

9. 70 685

9. 70 717

L. Cotg.

c.d.

32 

32 

32 

32 

32

32 

32 

32 

32 

32

32 

32 

32 

32 

32

31 

32 

32 

32 

32

31 

32 

32 

32 

31

32 

32 

31 

32 

32

31 

32 

31 

32 

32

31 

32 

31 

32 

31

32 

itt 

32 

31 

32

31 

31 

32 

31 

32

31 

31 

32 

31 

31

32 

31 

31 

31 

32

C.d.

L. Cotg.

0.31 182 

0.31 150 

0. 31 118 

0. 31 086 

0. 31 054

0.31 022 

0. 30 990 

0.30 958 

0. 30 920 

0. 30 894

0. 30 802 

0. 30 830 

0. 30 798 

0. 30 766 

0. 30 734

0. 30 702 

0. 30 671 

0. 30 639 

0. 30 007 

0. 30 575

0. 30 543 

0. 30 51 2 

0. 30 480 

0. 30 448 

0. 30 410

0. 30 385 

0. 30 353 

0. 30 321 

0. 30 290 : 

0. 30 258

0. 30 226 

0. 30 195 

0. 30 163 

0. 30 132 

0. 30 100

0. 30 068 

0. 30 037 

0. 30 005 

0. 29 974 

0. 29 942

0.29 911 

0. 29 879 

0. 29 848 

0. 29 816 

0. 29 785

0.29 753 

0. 29 722 

0. 29 691 

0. 29 659 

0.29 628

0. 29 596 

0. 29 565 

0.29 534 

0. 29 502 

0. 29 471

0.29 440 

0. 29 408 

0. 29 377 

0.29 346 

0. 29 315

0. 29 283

L. Tang.

L. Cos.

9. 95 366 

9. 95 360 

9. 95 354 

9. 95 348 

9. 95 341

9. 95 335 

9. 95 329 

9. 95 323 

9. 95 317 

9. 95 310

9. 95 304 

9. 95 298 

9. 95 292 

9. 95 286 

9. 95 279

9. 95 273 

9.95 267 

9.95261 

9. 95 254 

9. 96 248

9. 95 242 

9. 95 236 

9. 95 229 

9. 95 223 

9. 95 217

9. 95 211 

9.95 204 

9. 95 198 

9,95 192 

9.95 185

9. 95 179 

9. 95 173 

9. 95 167 

9.95 160 

9.95 154

9.95 148 

9.95 141 

9.95 135 

9.95 129 

9. 95 122

9. 95 110 

9.95 110 

9.95 103 

9. 95 097 

9.95 090

9. 95 084 

9. 95 078 

9. 95 071 

9. 95 005 

9. 95 059

9.95 052 

9. 95 046 

9.95 039 

9.95033 

9. 95 027

9. 95 020 

9. 95 014 

9. 95 007 

9. 95 001 

9. 94 995

9. 94 988

L. Sin.

d.

6 

6 

6

7

6 

0 

0

7 

0

0 

6 

6

7 

6

6 

6

7 

0 

6

6 

7 

6 

6 

6

7 

6 

6 

7 

6

6 

6 

7 

6 

6

7 

6 

6 

7 

6

6 

7 

6 

7 

6

6 

7 

6 

6

7

6 

7 

6 

6

7

6 

7 

6 

6

7

d.

!

GU

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

ao

29 

28 

27 

26

25 

24 

23 

 22 

21

'20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

16 0 

56 

52 

48 

44

15 40 

36 

32 

28 

24

15 20 

16 

12 

8 

4

15 0 

56 

52 

48 

44

14 40 

30 

32 

28 

24

14 20 

16 

12 

8 

4

14 0

56 

52 

48 

44

13 40 

36 

32 

28

 24

13 20 

16 

12 

8 

4

13 0 

56 

52 

48 

44

12 40

30 

32 

28 

24

12 20 

16 

12 

8 

4

12 0

in. s.

63°
172 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

lh 27°

m.

48 0 

4 

8 

12 

16

48 20 

24 

28 

32 

36

48 40 

44 

48 

52 

56

49 0 

4 

8 

12 

16

49- 20 

' . 24

: 28

, 32 '36

49 40 

44 

48 

52 

56

50' '0 

4 

8 

12 

16

50 20 

24 

28 

32 

36

50 40 

44 

. 48 

52 

56

51 0 

4 

8 

12 

16

51 20 

24 

28 

32 

36

51 40 

44 

48 

52 

 56

52 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13- 

14

15 

16 

37 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31

. 32 

33 

34

35 

36 

37 38' 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9.65 705 

9. 65 729 

9. 65 754 

9. 65 779 

9. 65 804

9. 65 828 

9. 65 853 

9. 65 878 

9. 65 902 

9. 65 927

9. 65 952 

9.65 976 

9. 66 001 

9. 66 025 

9. 66 050

9. 66 075 

9. 66 099 

9. 66 124 

9. 66 148 

9. 66 173

9. 66 197 

9. 66 221 

9. 66 246 

9. 66 270 

9. 66 295

9. 66 319 

9. 66 343 

9. 66 368 

9. 66 392 

9. 66 416

9. 66 441 

9.66 465 

9. 66 489 

9. 66 513 

9. 66 537.

9:66 562 

9. 66 586 

9.66 610 

9. 66 634 

9. 66 658

9. 66 682 

9. 66 706 

9.66 731 

9. 66 755 

9. 66 779

9. 66 803 

9. 66 827 

9. 66 851 

9. 66 875 

9. 66 899

9. 66 922 

9. 66 946 

9. 66 970 

9. 66 994 

9. 67 018

9. 67 042 

9. 67 066 

9. 67 090 

9.67 113 

9.67 137

9.67 161

' L. Cos.

d.

24 

25 

25 

25

25 

25 

24 

25 

25

24 

25 

24 ' 25

24 

25 

24 

25 24

24 

25 

24 

25

24 

25 

24 "24 

25

24 

24 

24 

24

24 

24 

24 

24 

24

24 

25 

24 

24

24

24 

24 

24 

24

24 

24 

24 

24 

24

24 

24 

23 

24 

24

d.

L. Tang.

9. 70 717 

9. 70 748 

9. 70 779 

9. 70 810 

9. 70 841

9. 70 873 

9. 70 904 

9. 70 935 

9. 70 966 

9. 70 997

9.71 028 

9.71 059 

9. 71 090 

9. 71 121 

9. 71 153

9. 71 184 

9. 71 215 

9. 71 246 

9.71 277 

9. 71 308

9. 71 339 

9.71 370 

9. 71 401 

9. 71 431 

9. 71 462

9. 71 493 

9. 71 524 

9. 71 555 

9. 71 586 

9. 71 617

9. 71 648 

9. 71 679 

9. 71 709 

9. 71 740 

9. 71 771

9. 71 802 

9. 71 833 

9.71 863 

9. 71 894 

9. 71 925

9. 71 955 

9.71 986 

9.72017 

9. 72 048 

9. 72 078

9.72 309 

' 9. 72 140 

9.72 170 

9.72 201 

9. 72 231

9. 72 262 

9. 72 293 

9.72 323 

9. 72 354 

9. 72 384

9. 72 415 

9. 72 445 

9. 72 476 

9. 72 506 

. 9. 72 537

9. 72 567

L. Cotg.

c.d.

31 

31 

31 

31

31 

31 

31 

31

31 

31 

31 

32

31 

31 

31 

31

31 

31 

30 

31

31 

31 

31 

31

31 

30 

31 

31

31 

30 

31 

31

31 

31 

31 

30

31 

30 

31 

30

31 

30 

31 

30

Q1

30 

31 

30 

31

Qfi

c.d.

L. Cotg.

0. 29 283 

0. 29 252 

0. 29 221 

0. 29 190 

0.29 159

0.29 127 

0. 29 096 

0. 29 065 

0. 29 034 

0. 29 003

0. 28 972 

0. 28 941 

0. 28 910 

0/28 879 

0. 28 847

0. 28 816 

0. 28 785 

0. 28 754 

0.28 723 

0. 28 692

0. 28 661 

0. 28 630 

0.28599 

0.28 569 

0. 28 538

0.28 507 

0.28.476 

0. 28 445 

0. 28 414 

0. 28 383

0.28 352 

0. 28 321 

0. 28 291 

0. 28 260 

0. 28 229

0.28 198 

0.28 167 

0. 28 137 

0. 28 106 

0.28 075

0. 28 045 

0.28 014 

0.27 983 

0.27 952 

0.27 922

0. 27 891 

0.27 860 

0.27 830 

0. 27 799 

0. 27 769

0. 27 738 

0. 27 707 

0. 27 677 

0. 27 646 

0. 27 616

0. 27 585 

0. 27 555 

0.27 524 

5. 27 494 

0. 27 463

0. 27 433

L. Tang.

L. Cos.

9.94 988 

9. 94 982 

. 9. 94 975 

9. 94 969 

9. 94 962

9. 94 956 

9. 94 949 

9. 94 943 

9.94936 

9.94 930.

9. 94 923 

9. 94 917 

9-94 911 

9. 94 904 

9. 94 898

9. 94 891 

9. 94 885 

9. 94 878 

9. 94 871 

9. 94 865

9. 94 858 

9.94 852 

9. 94 845 

9. 94 839 

9. 94 832

9. 94 826 

9. 94 819 

9. 94 813 

9. 94 806 

9. 94 799

9. 94 793 

9. 94 786 

9. 94 780 

9. 94 773 

9. 94 767

9. 94 760 

9. 94 753 

9. 94 747 

9. 94 740 

9. 94 734

9. 94 727 

9. 94 720 

9. 94 714 

9. 94 707 

9. 94 700

9. 94 694 

9. 94 687 

9. 94 680 

9. 94 674 

9. 94 667

9. 94 660 

9. 94 654 

9. 94 647 

9. 94 640 

9. 94 634

9. 94 627 

9. 94 620 

9. 94 614 

9. 94 607 

9. 94 600

9. 94 593

L. Sin.

d.

6 

7 

6

7

7 

6 

7 

6

7

6 

6 

7 

6

7

6

7 

7 

6

7

6

7 

6

7

7 

6

7 

7

7 

6 

7 

6

7

7 

6 

7 

6

7

7 

6 

7 

7

6

7 

7 

6

7

.7

6 

7 

7 

6

7

7 

6 

7

7

7

d.

60

59 

58 

57 

56

55 

64 

53 

52 

51

50

49 

48

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

/

-

1.2 0 

56 

52 

48 

44

1.1 40 

36 

32 

28 

24

11 20 

16 

12 

' 48 

11 0 

56 

52 

48 

44

10 40 

36 

32

28 

24

10 20 

16 

12 

8 

4

10 0 

56 

52 

48 

44

9 40 

36 

32 

28 

24

9 20 

16 

12 

8 

4

9 0 

56 

52 

48 

-44

8 40 

36 

32 

28 

24

8 20 

16 

12

8 

4

8 0

m. s.
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 173

TAHLK 21. Floe-place logarithms of circular functions, etc. Continued. 

lh 28°

m. s.

52 0 

4 

8 

12 

16

52 20 

24 

28 

32 

36

52 40 

44 

48 

52 

56

53 0 

4 

8 

12 

16

53' 20 

24 

28 

32 

36

.53 40 

44 

48 

52 

56

54 0 

4 

8 

12 

16

54 20 

24 

28 

32 

36

54 40 

44 

48 

52 

56

55 0 

4 

8 

12 

16

55 20 

24 

28 

32 

36

55 40 

44 

48 

52 

50

56 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51

52 

53 

54

55 

56 

57 

58 

59

(iO

L. Sin.

*). 67 161 

9.67 185 

9. 67 208 

9.67 232 

9. 67 256

9. 67 280 

9. 67 303 

9.67 327 

9. 67 350 

9.67 374

9.67 398 

9. 67 421 

9. 67 445 

9. 67 468 

9. 67 492

9.67 515 

9. 67 539 

9. 67 562 

9. 67 586 

9. 67 609

9.67 633 

9. 67 656 

9. 67 680 

9. 67 703 

9. 67 726

9.67 750 

9. 67 773 

9. 67 796 

9. 67 820 

9. 67 843

9. 67 866 

9. 67 890 

9. 67 913 

9. 67 936 

9. 67 959

9. 67 982 

9. 68 006 

9. 68 029 

9. 68 052 

9. 68 075

9. 68 098 

9. 68 121 

9.68 144 

9. 68 167 

9. 68 190

9. 68 213 

9. 68 237 

9. 68 260 

9. 68 283 

9. 68 305

9. 68 328 

9. 68 351 

9. 68 374 

9. 68 397 

9. 68 420

9. 68 443 

9.68 466 

9. 68 489 

9. 68 512 

9. 68 534

9. 68 557

L. Cos.

d.

24 

23 

24 

24 

24

23 

24 

23 

24 

24

23 

24 

23 

24 

23

24 

23 

24 

23 

24

23 

24 

23 

23

23 

23 

24 

23 

23

24 

23 

 23 

23

OQ

24 

23 

23 

23

OO

23 

23 

23 

23

oq

24 

23 

23 

22

oq

- 23 

23 

23 

23

OO

23 

23 

23 

22 

23

d.

L. Tang.

9. 72 567 

9. 72 598 

9. 72 628 

9. 72 659 

9. 72 689

9. 72 720 

9. 72 750 

9. 72 780 

9. 72 811 

9. 72 841

9. 72 872 

9. 72 902 

9. 72 932 

9. 72 963 

9. 72 993

9. 73 023 

9.73 054 

9. 73 084 

9. 73 114 

9. 73 144

9. 73 175 

9.73 205 

9. 73 235 

9.73 265 

9. 73 295

9. 73 326 

9. 73 356 

9. 73 386 

9. 73 416 

9. 73 446

9. 73 476 

9. 73 507 

9. 73 537 

9. 73 567 

9. 73 597

9. 73 627 

9. 73 657 

9. 73 687 

9. 73 717 

9. 73 747

9. 73 777 

9. 73 807 

9. 73 837 

9. 73 867 

9. 73 897

9. 73 927 

9. 73 957 

9. 73 987 

9. 74 017 

9. 74 047

9. 74 077 

9. 74 107 

9. 74 137 

9. 74 166 

9.74 196

9. 74 226 

9. 74 250 

9. 74 280 

9. 74 310 

9. 74 345

9. 74 375

L. Cotg.

c.d.

31 

30 

31 

30 

31

30 

30 

31 

30

qi

30 

30 

31 

30 

30

31 

30 

30 

30 si

30 

30 

30 

30 

31

30 

30 

30 

30 

30

31 

30 

.30 

30 

in

30 

30 

30 

30 v>

30 

30 

30 

30

30

30 

30 

30 

30 

30

30 

30 

29 

30

Ort

30 

30 

30 

29 

30

c.d.

L. Cotg.

0. 27 433 

0. 27 402 

0.27 372 

0.27 341 

0.27 311

0. 27 280 

0.27 250 

0. 27 220 

0. 27 189 

0.27 159

0.27 128 

0. 27 098 

0. 27 008 

0.27 037 

0.27 007

0.26 977 

0. 26 946 

0. 26 916 

0. 26 886 

0. 26 856

0.26 825 

0.26 795 

0. 26 765 

0".26 735 

0. 26 705

0.20 674 

0.26 6-14 

0. 26 614 

0.26 584 

0. 26 554

0. 26 524 

0. 26 493 

0. 26 463 

0. 26 433 

0. 26 403

0.26 373 

0. 26 343 

0.26 313 

0. 26 283 

0. 26 253

0. 26 223 

0. 26 193 

0.26 163 

0.26 133 

,. 0.26 103

0. 26 073 

0. 26 043 

0.26 013 

0.25 983 

0.25 953

0. 25 923 

0.25 893 

0. 25 863. 

0. 25 834 

0. 25 804

0. 25 774 

0. 25 744 

0.25 714 

0. 25 684 

0. 25 655

0. 25 625

L. Tang.

L. Cos.

9. 94 593 

9.94 587 

9. 94 580 

9. 94 573 

9. 94 567

9. 94 560 

9. 94 553 

9. 94 546 

9. 94 640 

9. 94 533

9. 94 520 

9. 94 519 

9. 94 513 

9. 94 500 

9. 94 499

9. 94 492 

9.94485 

9. 91 479 

9. 94 472 

9. 94 495

9. 94 458 

9. 94 451 

9. 94 445 

9.94 438 

9. 94 431

9. 94 424 

9. 94 417 

9.94 410 

9. 94 404 

9. 94 397

9. 94 390 

9. 94 383 

9. 94 376 

9. 94 369 

9. 94 362

9.94 355 

9.94 349 

9. 94 342 

9. 94 335 

9. 94 328

9.94 321 

9.94 314 

9. 94 307 

9. 94 300 

9. 94 293

9. 94 286 

9. 94 279 

9. 94 273 

9. 94 266 

9. 94 259

9. 94 252 

9.94 245 

9. S4 238 

9.94 231 

9. 94 224

9. 94 21.7 

9.94 210 

9. 94 203 

9.9't .196 

9.94 189

9. 94 182

L. Sin.

d.

6

7 

7 

6 

7

7 

7 

6 

7 7

7 

0 

7 

7 

7

7 

0 

7 

7 

7

7 

0 

7 

7 

7

7 

7 

6 

7

7- 

7 

7 

7 

7

6

7 

7 

7- 

7

7 

7 

7 

7

7 

6 

7 

7 

7

7 

7 

7 

7 

7

7

7 

7 

7 

7

d.

60

59

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35' 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8

7 

6

5 

4 

3 

2 

1

0

'

8 0 

56 

52 

48 

44

7 40 

36 

32 

28 

24

7 20 

16 

12 

8 

4

7 0 

56 

52 

48 

44

6 40 

36 

32 

28 

24

6 20 

16 

12 

8 

4

6 0 

56 

52 

48 

44

5 40 

36 

32 

28 

24

5 20 

16 

12 

8 

4

6 0 

56 

52 

48 

44

4 40 

36 

32 

28 

24

4 20 

16 

12 

8 

4

4 0

m. s.

61°
174 GEOGBAPHIC TABLES AND JB'OKMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

lh 29°

m. s.

56 0 

4 

8 

12 

46

56 20 

24 

28 

32 

36

56 40 

44 

48 

52 

56

57 0 

4 

8 

12 

16

57 20 

24 

28 

32 

36

57 40 

44 

48 

52 

56

58 0 

4 

8 

12 

16

58 20 

24 

28 

32 

36

58 40 

44 

48 

52 

56

59 0 

4 

8 

12 

16

59 20 

24 

28 

32 

36

59 40 

44 

48 

52 

56

60 0

'

0

1 

2 

3 

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53

54

55 

56 

57 

58 

59

60

L. Sin.

9. 68 557 

9. 68 580 

9.68 603 

9. 68 625 

9. 68 648

9. 68 671 

9. 68 694 

9. 68 716 

. 9. 68 73g 

9. 68 762

9. 68 784 

9.68 807 

9. 68 829 

9. 68 852 

9. 68 875

9. 68 897 

9. 68 920 

9. 68 942 

9.68965 

9.68 987

9. 69 010 

9. 69 032 

9.69 055 

9. 69 077 

9.69 100

9. 69 122 

9. 69 144 

9. 69 167 

9. 69 189 

9. 69 212

9. 69 234 

9. 69 256 

9. 69 279 

9. 69 301 

9. 69 323

9. 69 345 

9. 69 368 

9. 69 390 

9. 69 412 

9. 69 434

9. 69 456 

9. 69 479 

9. 69 501 

9. 69 523 

9. 69 545

9. 69 567 

9. 69 589 

9.69 613 

9. 69 633 

9. 69 655

9. 69 67.7 

9. 69 699 

9. 69 721 

9.69 743 

9. 69 765

9. 69 787 

9. 69 809 

9. 69 831 

9. 69 853 

9. 69 875

9.69 897

L. Cos.

d.

23 

23 

22 

23

00

23 

22 

23 

23 

22

23' 

22 

23 

23 

22

23 

22 

23 

22

9'^t

22 

23 

22 

23

22

22 

23 

22 

23 

22

22 

23 

22 

22 

22

23 

22 

22 

22 

22

23 

22 

22 

22 

22

22 

22 

22 

22 

22

22 

22 

22 

22 

22

22 

22 

22 

22 

22

d.

L. Tang.

9. 74 375 

9. 74 405 

9. 74 435 

9. 74 465 

9. 74 494

9. 74 524 

9. 74 554 

9.74.583 

9. 74'613 

9. 74 643

9. 74 673 

9. 74 702 

9. 74 732 

9. 74 762 

9.74 791

9. 74 821 

.9.74 851 

' 9. 74 880 

9.74910 

9. 74 939

9. 74 969 

9. 74 998 

9. 75 028 

9. 75 058 

9. 75 087

9.75 117 

9. 75 146 

9. 75 176 

9. 75 205 

9. 75 235

9. 75 264 

9. 75 294 

9. 75 323 

9. 75 353 

9. 75 382

9. 75 411 

9. 75 441 

9. 75 470 

9. 75 500 

9. 75 529

9. 75 558 

9. 75 588 

9. 75 617 

9. 75 647 

9. 75 676

9. 75 705 

9. 75 735 

9. 75 764 

9. 75 793 

9. 75 822

9. 75 852 

9. 75 881 

9. 75 910 

9. 75 939 

9. 75 969

9. 75 998 

9. 76 027 

9. 76 056 

9. 76 086 

9. 76 115

9. 76 144

L. Cotg.

c. d.

30 

30 

30 

29 

30

30 

29 

 30 

30 

30

29 

30 

30 

29

on

30 

29 

30 

29

on

29 

30 

30 

29

on

29 

30 

29 

30 

29

30 

29 

30 

29 

29

30 

29 

30 

29 

29

30 

29 

30 

29 

29

30 

29 

29 

29 

30

29 

29 

29 

30 

29

29 

29 

30 

29 09

c. d.,

L. Cotg.

0. 25 625 

0. 25 595 

0. 25 565 

0. 25 535 

0. 25 506

0. 25 476 

0. 25 446 

0. 25 417 

0. 25 387 

0. 25 357

0. 25 327 

0. 25 298 

0. 25 268 

0. 25 238 

0. 25 209

0. 25 179 

0. 25 149 

0.25 120 

0. 25 090 

0. 25 061

0. 25 031 

0. 25 002 

0. 24 972 

0. 24 942 

0. 24 913

0. 24 883 

0. 24 854 

0. 24 824 

0. 24 795 

0. 24 765

0. 24 736 

0.24 706 

0. 24 677 

0. 24 647 

0.24 618

0. 24 589 

0.24 559 

0. 24 530 

0. 24 500 

0. 24 471

0. 24 442 

0. 24 412 

0. 24 383 

0. 24 353 

0.24 324

0. 24 295 

0. 24 265 

0. 24 236 

0. 24 207 

0. 24 178

0. 24 148 

0. 24 119 

0. 24 090 

0. 24 061 

' 0. 24 031

0. 24 002 

0. 23 973 

0. 23 944 

0.23 914 

0. 23 885

0. 23 856

L. Tang.

L. Cos.

9. 94 182 

9. 94 175 

9. 94 168 

9. 94 161 

9. 94 154

9. 94 147 

9. 94 140 

9.94 133 

9.94 126 

9. 94' 119

9. 94 112 

9. 94 105 

9. 94 098 

9. 94 090 

9. 94 083

9. 94 076 

9. 94 069 

9.94062 

9. 94 055 

9. 94 048

9. 94 041 

9. 94 034 

9. 94 027 

9. 94 020 

9. 94 012

9. 94 005 

9. 93 998 

9. 93 991 

9. 93 984 

9. 93 977

9. 93 970 

9. 93 963 

9. 93 955 

9. 93 948 

9. 93 941

9. 93 934 

9. 93 927 

9. 93 920 

9. 93 9l2 

9. 93 905

9. 93 898 

9. 93 891 

9. 93 884 

9. 93 876 

9. 93 869

9. 93 862 

9. 93 855 

9. 93 847 

9. 93 840 

9. 93 833

9. 93 826 

9. 93 819 

9.93 811 

9. 93 804 

9. 93 797

9. 93 789 

9. 93 782 

9. 93 775 

9. 93 768 

9. 93 760

9. 93 753

L. Sin.

d.

7 

7 

7 

7 

7

7 

7 

7 

7 

7

7 

7 

8 

7 

7

7 

7 

7 

7 

7

7 

7 

7 

8

7 

7 

7 

7 

7

7 

8 

7 

7 

7

7 

7 

8 

7 

7

7 

7 

8 

7

7 

8 

7 

7 

7

7 

8 

7 

7 

8

7 

7 

7 

8

d.

60

59 

58 

57 

56

55* 

54 

53 

52 

51

50 ' 49

48

; 47

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

/

4 0 

56 

52 

48 

44

3 40 

36 

32 

28 

24

3 20 

16 

12 

8 

4

3 0 

56 

52 

48 

44

2 40 

36 

32

28 

24

2 20 

16 

12 

8 

4

2 0 

56 

52 

48 

44

1 40 

36 

32

28 

24

1 20 

16 

12 

8 

4

1 0 

56 

52 

48 

44

0 40 

36 

32 

28 

24

0 20 

16 

12 

8 

4

0- 0

in. s.

60C
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS. 175 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2U 30°

in. s.

0 0 

4 

8 

12 

16

0 20 

24 

28 

32 

36

0 40 

44 

48 

62 

56

1 0 

4 

8 

12 

16

1 20 

24 

28 

32 

36

1 40 

44 

48 

52 

56

2 0 

4 

8 

12 

16

2 20 

24 

28 

32 

36

2 40 

44 

48 

52 

56

3 4' 0

8 

12 

16

3 20 

24 

28 

32 

36

3 40 

44 

48 

52 

56

4 0

i

0

1 

2 

3 

4

5 

6

7 

8 

9

JO

11 

12 

13 

14

15 

10 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

00

L. Sin.

9. 69 897 

9.69 919 

9. 69 941 

9. 69 963 

9. 69 984

9. 70 006 

9. 70 028 

9. 70 050 

9. 70 072 

9. 70 093

9.70 115 

9. 70 137 

9. 70 159 

9. 70 180 

9. 70 202

9. 70 224 

9. 70 245 

9. 70 267 

9. 70 288 

9. 70 310

9. 70 332 

9. 70 353 

9. 70 375 

9. 70 396 

9. 70 418

9. 70 439 

9. 70 461 

9. 70 482 

9. 70 504 

9. 70 525

9. 70 547 

9. 70 568 

9. 70 590 

9.70 611 

9. 70 633

9. 70 654 

9. 70 675 

9. 70 697 

9. 70 718 

9. 70 739

9. 70 761 

9. 70 782 

9. 70 803 

9. 70 824 

9. 70 840

9. 70 867 

9. 70 888 

9.70 909 

9. 70 931 

9. 70 952

9. 70 973 

9. 70 994 

9.71 015 

9. 71 036 

9. 71 058

9. 71 079 

9. 71 100 

9. 71 121 

9. 71 142 

9.71 163

9. 71 184

L. Cos.

d.

22 

22 

22 

21 

22

22 

22 

22 

21 

22

22 

22 

21 

22 

22

21 

22 

21 

22 

22

21 

22 

21 

22 

. 21

22 

21 

22 

21 

22

21 

22 

21 

22 

21

- 21 

22 

21 

21 

22

21 

21 

21 

22 

21

21 

21 

22 

21 

21

21 

21 

21 

22 

21

21 

21. 

21 

21 

21

d.

L. Tang.

9. 76 144 

9.76 173 

9. 76 202 

9. 76 231 

9.76 261

9. 76 290 

9. 76 319 

9. 76 348 

9. 76 377 

9. 76 406

9. 76 435 

9. 76 464 

9. 76 493 

9. 76 522 

9. 76 551

9. 76 580 

9.76 609 

9. 76 639 

9. 76 668 

- 9. 76 697

9. 76 725 

9. 76 754 

9. 76 783 

9. 76 812 

9. 76 841

9. 76 870 

9. 76 899 

9. 76 928 

9. 76 957 

9. 76 986

9. 77 015 

9. 77 044 

9. 77 073 

9.77 101 

9.77 130

9. 77 159 

9. 77 188 

9. 77 217 

9. 77 246 

9. 77 274

9. 77 303 

9. 77 332 

9.77 361 

9. 77 390 

9. 77 418

9.77 447. 

9. 77 476 

9.77 505 

9.77 533 

9. 77 562

9. 77 591 

9. 77 619 

9.77 648 

9.77 677 

9.77 706

9. 77 734 

9. 77 763 

. 9. 77 791 

9. 77 820 

9. 77 849

9. 77 877

L. Cotg.

c. d.

29 

29 

29 

30 

29

29 

29 

29 

29 

29

29 

29 

29 

29 

29

29 

30 

29 

29 

28

29 

29 

29 

29 

29

29 

29 

29 

29 

29

29 

29 

28 

29 

29

29 

29 

29 

28 

29

29 

29 

29 

28 

29

29* 

29 

28 29' 

29

28 

29 

29 

29 

28

29 

28 

29 

29 

28

c. d.

L. Cotg.

0. 23 856 

0. 23 827 

0.23 798 

0. 23 769 

0.23 739

0. 23 710 

0. 23 681 

0. 23 652 

0.23 623 

0. 23 694

0. 23 565 

0. 23 536 

 0.23 507 

0. 23 478 

0. 23 449

0. 23 420 

0. 23 391 

0.23 361 

0.23 332 

0.23 303

0. 23 275 

0.23 246 

0. 23 217 

0. 23 188 

0.23 159

0. 23 130 

0.23 101 

0. 23 072 

0.23 043 

0. 23 014

0. 22 985 

0.22 956 

0.22 927 

0.22 899 

0.22 870

0. 22 841 

0. 22 812 

0. 22 783 

0. 22 754 

0. 22 726

0. 22 697 

0.22 668 

0.22 639 

0. 22 610 

0. 22 582

0. 22 553 

0.22 524 

0.*2 495 

0.22 467 

0.22 438

0. 22 409 

0. 22 381 

0. 22 352 

0.22 323 

0. 22 294

0. 22 266 

0. 22 237 

0. 22 209 

0.22 180 

0. 22 151

0.22 123

L. Tting.

. L. Cos.

9. 93 753 

9.93 746 

9. 93 738 

9. 93 731 

9. 93 724

9. 93 717 

9. 93 709 

9. 93 702 

9. 93 695 

9.93 687

9. 93 680 

9. 93 673 

9. 93 665 

9. 93 658 

9. 93 650

9.93 643 

9. 93 636 

9. 93 628 

9. 93 621 

9. 93 614

9. 93 606 

9. 93 599 

9. 93 591 

9. 93 584 

9. 93 577

9. 93 569 

9. 93 562 

9. 93 554 

9. 93 547 

9. 93 539

9. 93 532 

9. 93 525 

9. 93 517 

9. 93 510 

9.93 502

9. 93 495 

9. 93 487 

9. 93 480 

9. 93 472 

9. 93 465

9. 93 457 

9. 93 450 

9. 93 442 

9.93 435 

9. 93 427

9. 93 420 

9. 93 412 

9. 93 405 

9. 93 397 

9. 93 390

9. 93 382 

9.93 375 

9. 93 367 

9.93 360 

9.93 352

9. 93 344 

9. 93 337 

9. 93 329 

9. 93 322 

9.93 314

9. 93 307

L. Sin.

d.

7 

8 

7 

7 

7

8 

7 

7 

8 

7

7 

8 

7 

8 

7

7 

8 

7 

7 

8

7 

8 

7 

7 

8

7 

8 

7 

8 

7

7 

8 

7 

8 

7

8 

7 8'

7 

8

7 

8 

7 

8 

7

8 

7 

8 

7 

8

7 

8 

7 

8 

8

7 

8 

7 

8 

7

d.

00

59 

68 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

ltd

29 

28 

27 

26

25 

24 

23 

22 

21

'JO

19 

18 

17 

16

15 

14 

13 

12

11.

1.0

9

8 

7 

6

5 

4 

3 

2 

1

0

'

60 0 

56 

52 

48 

44

59 40 

36 

32 

28 

24

59 20 

16 

12 

8 

4

59 0 

56 

52 

48 

44

58 40 

36 

32 

28 

24

58 20 

16 

12 

8 

4

58 0 

56 

52 

48 

44

57 40 

36 

32 

28 

24

57 20 

16 

32 

8 

4

57 0 

56 

52 

48 

44

56 40 

36 

32 

28 

24

56 20 

16 

12 

8 

4

56 0

in. s.

59°
176 GEOGEAPHIC TABLES AND FOEMULAS. [BULL.234.. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2h 31°

m. s.

4 0 

4 

8 

12 

16

4 20 

24 

28 

32 

36

4 40 

44 

48 52' 

56

5 0 

4 

8 

12 

16

5 20 

24 

28 

32 

36

5 40 

44 

48 

' 52 

56

6 0 

4 

S 

12 

16

6 20 

24 

28 

32 

36

6 40 

44 

48 

52 

56

7 0 

4 

8 

12 

16

7 20 

24 

28 32 

36

7 40 

44 

48 

52 

56

8 0

'

0

1 

2 

3

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

(10

L. Sin.

9. 71 184 

9.71.205 

9. 71 226 

9. 71 247 

9. 71 268

9.71 289 

9.71 310 

9.71 331 

9.71 352 

9.71 373

9. 71 393 

9.71 414 

9. 71 435 

9.71 456 

9.71 477

9.71 498 

9.71 519 

9.71 539 

9.71 560 

9,71 581

9. 71 602 

9.71 622 

9. 71 643 

9. 71 664 

9.71 685

9,71 705 

9. 71 726 

 9. 71 747 

9. 71 767 

9.71 788

9. 71 809 

9. 71 829 

9. 71 850 

9. 71 870 

9.71 891

9. 71 911 

9.71 932 

9.71 952 

9. 71 973 

9. 71 994

9. 72 014 

9. 72 034 

9. 72 055 

9.72 075 

9. 72 096

9.72 116 

9.72 137 

9. 72 157 

9. 72 177 

9. 72 198

9. 72 218 

9. 72 238 

9.72 259 

9. 72 279 

9. 72 299

9. 72 320 

9. 72 340 

9.72 360 

9. 72 381 

9. 72 401

9. 72 421

L. Cos.

d.

21 

21 

21 

21 

21

21 

21 

21 

21 

20

21 

21 

21 

21- 

21

21 

20 

21 

21 

21

20 

21 

21 

21 

20

21 

21 

20 

21 

21

20 

21 

20 

21 

20

21 

20 

21 

21 

20

20 

21 

20 

21 

20

21 

20 

20 

21 

20

20 

21 

20 

20 

21

20 

20 

21 

20 

20

d.

L. Tang.

9. 77 877 

9. 77 906 

9. 77 935 

9.77 963 

9. 77 992

9. 78 020 

. 9. 78 049 

9. 78 077 

9. 78 106 

9. 78 ia5

9. 78 163 

9.78 192 

9. 78 220 

9. 78 249 

9. 78 277

9. 78 306 

9. 78 334 

9. 78 363 

9. 78 391 

9. 78 419

9. 78 448 

9.78476 

9.78605 

9. 78 533 

9. 78 562

9. 78 590 

9. 78 618 

9. 78 647 

9.78 675 

9. 78 704

9. 78 732 

9. 78 760 

9. 78 789 

9. 78 817 

9. 78 845

9. 78 874 

9. 78 902 

9. 78 930 

9. 78 959 

9. 78 987

9. 79 015 

9. 79 043 

9. 79 072 

9.79 100 

9. 79 128

9. 79 156 

9. 79 185 

9. 79 213 

9. 79 241 

9. 79 269

9. 79 297 

9.79 326 

9. 79 354 

9. 79 382 

9. 79 410

9. 79 438 

9. 79 466 

9. 79 495 

9. 79 523 

9. 79 551

9. 79 579

L. Cotg.

.C. d.

29 '29 

28 

29

28

29 

28 

29 

29 

28

29 

28 

29 

28 

29

28 

29 

28 

28 

29

28 

29 

28 

29 

28

28 

29 

28 

29 

28

28 

29 

28 

28 

29

28 

28 

29 

28 

28

28 

29 

28 

28 

28

29 

28 

28 

28

28

29

28 

28 

28 

28

28 

29

28 

28 

28

c. d.

L. Cotg.

0.22 123 

0. 22 094 

0. 22 065 

. 0. 22 037 

0. 22 008

0.21 980 

0.21 951 

0.21 923 

0.21 894 

0.21 865

0.21 837 

. 0. 21 808 

0. 21 780 

0. 21 751 

0.21 723

0. 21 694 

0.21 666 

0.21 637 

0.21 609 

0. 21 581

0. 21 552 

0.21 524 

0.21495 

0. 21 467 

0.21 438

0. 21 410 

0. 21 382 

0.21 353 

0. 21 325 

0. 21 296

0.21 268 

0.21 240 

 0. 21 211 

0. 21 183 

0.21 155

0.21 126 

0. 21 098 

0.21 070 

0.21 041 

0. 21 013

0. 20 985 

0. 20 957 

0.20 928 

0. 20 900 

0.20 872

0. 20 844 

0. 20 815 

0.20 787 

0.20 759 

0.20 731

0. 20 703 

0.20 674 

0. 20 646 

0.20 618 

0. 20 590

0. 20 562 

0. 20 534 

0. 20 505 

0. 20 477 

0. 20 .449

0. 20 421

L. Tang.

L. Cos.

9.93 307 

9.93 299 

9. 93 291 

9. 93 284 

9. 93 276

9. 93 269 

9. 93 261 

9. 93 253 

9. 93 246 

9. 93 238

9. 93 230 

9. 93 223 

9. 93 215 

9. 93 207 

9. 93 200

9.93 192 

9. 93 184 

9.93 177 

9. 93 169 

9.93 161

9. 93 154 

9.93 146 

9.93138 

9. 93 131 

9.93 123

9. 93 115 

9.93 108 

9. 93 100 

9. 93 092 

9. 93 084

9. 93 077 

9.93 069 

9. 93 061 

9. 93 053 

9. 93 046

9.93 038 

9. 93 030 

9. 93 022 

9. 93 014 

.9.93 007

9. 92 999 

9. 92 991 

9. 92 983 

9. 92 976 

9.92 968

9. 92 960 

9. 92 952 

9. 92 944 

9.92 936 

9. 92 929

9. 92 921 

9.92 913 

9.92 905 

9. 92 897 

9. 92 889

9. 92 881 

9.92 874 

9.92 866 

9. 92 858 

9. 92 850

9.92 842

L. Sin.

d.

8 

8 

7 

8 

7

8 

8 

7 

8 

8

7 

8 

8 

7 

8

8 

7 

8 

 8 

7

8 

8 

7 

8 

8

7 

8 

8 

8 

7

8 

8 

8 

7 

8

8 

8 

8 

7 

8

8 

8 

7 

8 

8

8 

8

8 

7 

8

8 

8 

8 

8

8

7 

8 

8 

8 

8

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

56 0 

56 

52 

48 

44

55 40 

36 

32 

28 

24

55 20 

16 

12 

8 

4.

55 0 

56 

52 . 

48 

44

54 40 

36 

32

28 

24

54 20 

16 

12 

8 

4

54 0 

56 

52 

48 

44

53 40 

36 

32 

28 

24

53 20 

16 

12 

8 

4

53 0 

56

52 

48 

44

52 40 

36 

32 

28 

24

52 20 

. 16 

12 

8 

4

52 0

m. s.

58C 3h
fcd

&

f

0

o <S3"

p

t-1

H 

o?

,_,

CO

a

»

to

0

£.

tc

^3

to 

 o

I-"

tC

00

8

0

bo 

-^i

ce

<£

ES

i tC 

en

«

,£.

ce

<=

I-1

Cn en i^ ifc ifc.

o to 004^0

SS3SS

tc tc tO to O

CO CO CO CO CO 

CjiCnCnqien 

- ' tO CO CO CO

*o --^ to * to

3 tCOtOO

SOtS tO CO to

00 CO GO CO CO

tO' --^ » ' } ' i '

to tc d & h-

 o ic to to to

.OOO^JOCOO

ooooo

OO CO CO COCO 

<7 COCO GO Co

^t o co cn co

C: .i-H^ to^7

tc tc tc to co

to to to to to

COCO CC CO.Icr. -~7 oo to o 

~a C-. £- to o

X to 00 00 CO

r-1 to CO «. Cn

cc

t-""-" tO 

1^.00 to CiO

t-> 

co to to to to

C3 tOCO*-O

CTCncncnS;

*. totot-'*

to to to to to

^7 ~3 ~J <7 <7

to co coco co

^ £- CniCn-cs

-D O tO O to

OtOtOtOO

CO CO COCO CO

ooooo

GO CnCO O --7

to to to to to

-J Co Co ~4 Co <

ooooo

CO CO CO CO to 

(- rfv~4 tO to

^- to o ^J into to to to to

to to tc to to 

to to to to to

O ^-* tOCO !£ 

CO CTi OTCO H-1

» CO to CO CO

o^icooO

CO

to to co to >&.

*-OOtOC2O

t-1 

bs to 00^.0

tc Co <i C7i en

ototctoto

to co to co to 

to co co co co

tO-JCKCOHJ

o ^j<i ~a co

~o i-* to to i » OtoOOtC

to to to to to

CO CO CO CO CO

to to Co Co Go

*- I-" to O' 10

£co^c°,8

ooooo

O O ! * M t '

tnco oco o 

co:--'coo»a.

to to to to to

to to to to to

4i.C7io:<IOo 

tC --J C71»CO tO

» CO 00 CO'tO

r^ tOCO *-O<

b^ 

tc

It. ,£.0101

^-00 tOOO

H-1

0

g

Ol k£» pIX ^ 

tOCOi4^O

1C. ^^.^ * 

l^COtO I-1 *

to to to to to

CO CO tO CO CO

to to to to to

tC ^1 C7I CO h- ' 

CO COO to to

^O tO M tO tO

OOtOOO

to to tc tc to

CO CO CO CO CO

CO ~J <I<! O

O CO Oi JO tO

to to to to to

»-4COCOCO 

ooooo

too to to to

' H" tO tO tO CO

tC H-1 .£- ^-1 O 

tO to <I Oi'CO

to to to to tc

tc tc tc tc to

to to to to to

£h k£k 01 C71 Cn

ococ;£ to

X CO COCO CO

O ^1 CO tO O

>£*

to

 >- i ' tO

^.cotocno

o

to co to to to 

o tocc #-o

CO CO CO CO CO 

toco^iotn

to to to to to

CO CO tO CO CO

issls

-" tO tO 10!-'

-OOOO to <

to too to to

CO COCO COCO

O O Ci i-i Cn

o tc to to to

X ^.1 Co Co CO <

ooooo

to to tc to to

CO CO CO lU A. 

t i CO C^ f^ tO

tc to tc .to to

tc to to to to 

tc ic to to to

S

Oi en Cn Cn 

Co .£- cn c; 

o co cfc cnito

J3 CO CO tO 00

M toco rf^cn

i^.

to

ICtOCOCOia. 

*-00lCOO

s

Ci tO OO ^. O

OC CO CO CO W

^co to t--O

CO tO CO COCO

-.1 J -^3 --1 -1

CC CO CO COCO

i-1 O O O O

°£22^ ^

o to to ro i-1

=>OOOCO

CO CO CO tO CO

COOOGOODOD

§

O *-! £- '

o to to to ro

» CO GO -^4 CO

ooooo

CO CO CO CO CO

^.i S to 01 co

o cc cs co j-«

tO CO CO CO CO

ggggg

Cn cn cn cn C; 

~a -i co to o

r^ tO ~J Cni'CO

» CO CO OOCO

CR^JCOOO

s

^ *&. Cn CJi 

rfi-COlO OO

to

cncn -t- *" *u 

O tOGO^O

to 10 to to to

tO CO I Cft O'

CO CO tO tO tO

M ->J<K1 -3

co to to ro to

§ CO Ci tfifc tO to to to to

*o to to to re

ooooo

to to to to co

CO CO CO GO CO

CO CO CO CO tO

SSS85S

<; to to to tc

X 00 CO CO CO

ooooo

to to to to tc 

o to S 2 £i

tc to to tc to

to tC<O tc to

to to to to tc

OOCiOO 

h-» ' tO CO A-

>-" to ~a in-co

X 00 OOCO CO

H^ tc tc ,&. cn

§

!-': ' to

*.COtCC2O

to

SS8B8

^SK^g

to to to to to

 1 ^1 ~3 ~J ^J

tote to tc to

to co co co co

OCOO.C- tO 

1C CO tO CO CO

C i-" tO tO IO

o tc o o o

tc to tc to tc

COOO CO GO GO

tO 60 i-< I-' H" 

On to tc O ^^

^o tc to to to

JO CO CO ^J CO

ooooo

to to to to to

<1 <1 COCO CO

 £- ^i o co c; 

tc~jcnitoo

to tc to to tc

to tooto to 

to co to to to

OOO5OO 

Cn cn Ci ^J CO 

1 i tC ^J CTl'CO

X CO CO CO CO

8S5SSS

0

.sgK§§
178 GEOGRAPHIC TABLES AND FORMULAS. [suLL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2h 33°

m. s.

12 0 

4 

8 

12 

16

12 20 

24 

28 

32 

36

12 40 

44 

48 

52 

56

13 0 

4 

8 

12 

16

13 20 

24 

28 

32 

36

13 40 

44 

48 

52 

56

14 0 

4 

8 

12 

16

14 20 

24 

28 

32 

36

14 40 

44 

48 

52 

56

15 0 

4 

8 

12 

16

15 20 

24 28' 

32 

36

15 40 

44 

48 

52 

56

16 0

'

0 

1

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

.37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

66 

57 

58 

59

GO

L. Sin.

9. 73 611 

9.73 630 

9.73 650 

9. 73 669 

9. 73 689

9. 73 708 

9. 73 727 

9. 73 747 

9. 73 766 

9. 73 785

9. 73 805 

9. 73 824 

9. 73 843 

9. 73 863 

9. 73 882

9. 73 901 

9. 73 921 

9. 73 940 

9. 73 959 

9. 73 978

.9. 73 997 

9. 74 017 

9. 74 036 

9. 74 055 

9. 74 074

9. 74 093 

9. 74 113 

9. 74 132 

9. 74 151 

9. 74 170

9. 74 189 

9. 74 208 

9. 74 227 

9. -74 246 

9. 74 265

9. 74 284 

9. 74 303 

9. 74 322 

9. 74 341 

9. 74 360

9. 74 379 

9. 74 398 

9. 74 417 

9.74 436 

9. 74 455

9. 74 474 

9. 74 493 

9. 74 512 

9. 74' 531 

9. 74 549

9. 74 568 

' 9. 74 587 

9. 74 606 

9. 74 625 

9. 74 644

9. 74 662 

9. 74 681 

9. 74 700 

9. 74 719 

9. 74 737

9. 74 756

L. Cos.

d.

19 

20 

19 

20

19 

20 

19 

19 

20

. 19 

19 

20 

19

20 

19 

19 

19

20 

19. 

19 

19 

19

20 

19 

19 

19

1 Q

19 

19 

19 

19 

19

19 

19 

19 

19r9

19 

19 

19 

19 

19

19, 

19 

19 

18 

19

19 

19 

19 

19

18

19 

19 

19 

18 

19

d.

L. Tang.

9.81 252 

9.81 279 

9.81 307 

9.81 335 

9.81 362

9.81 390 

9.81 418 

9.81 445 

9.81 473 

9. 81 500

9.81 528 

9. 81 556 

9. 81 583 

9.81 611 

9. 81 638

9.81 666 

9. 81 693 

9.81 721 

9. 81 748 

9.81 776

9. 81 803 

9.81 831 

9. 81 858 

9.81 886 

9. 81 913

9. 81 941 

9.81 968 

9.81 996 

9. 82 023 

9. 82 051

9.82 078 

9. 82 106 

9.82 133 

9.82 161 

9.82 188

9. 82 215 

9. 82 243 

9.82 270 

9.82 298 

9. 82 325

9.82 352 

9. 82 380 

9. 82 407 

9. 82 435 

9. 82 462

9. 82 489 

9. 82 517 

9. 82 544 

9.82 571 

9.82 599

9.82 626 

9: 82 653 

9. 82 681 

9.82 708 

9. 82 735

9. 82 762 

9.82 790 

9. 82 817 

9. 82 844 

9. 82 871

9. 82 899

L. Cotg.

c. d.

27 

28 

28 

27

28 

27 

28 

27 

oa

'28 

27 

28 

27

27 

28 

27 28' 

27

28 

27 

28 

27

27 

28 

27 

28 

27

28 

27

28 

27 

27

28 

27 

. 28 

27 

27

28 

27 

28 

27 

27

 28 

27 

27 

28 

27

27 

28 

27 

27 

27

28 

27 

27 

27 

28

C. d.

L. Cotg.

0. 18 748 

0. 18 721 

0. 18 693 

0. 18 665 

0.18 638

0. 18 610 

0. 18 582 

0.18 555 

0. 18 527 

0. 18 500

0. 18 472 

0. 18 444 

0. 18 417 

0. 18 389 

0. 18 362

0. 18 334 

0. 18 307 

0. 18 279 

0. 18 252 

0. 18 224

0.18 197 

0. 18 169 

0. 18 142 

0. 18 114 

0. 18 087

0. 18 059 

0. 18 032 

0. 18 004 

0. 17 977 

0. 17 949

0. 17 922 

0. 17 894 

0. 17 867 

0. 17 839 

0. 17 812

0. 17 785 

0. 17 757 

0.17 730 

0.17 702 

0. 17 675

0. 17 648 

0.17 620 

0. 17 59? 

0.17 565 

0. 17 538

0. 17 511 

0. 17 483 

0. 17 456 

0. 17 429 

0. 17 401

0.17 374 

0. 17 347 

0. 17 319 

0. 17 292 

0. 17 265

0. 17 238 

0.17 210 

0. 17 183 

0. 17 156 

0.17 129

0. 17 101

L. Tang.

L. Cos.

9. 92 359 

9. 92 351 

9. 92 343 

9. 92 335 

9. 92 326

9.92 318 

9. 92 310 

9. 92 302 

9. 92 293 

9. 92 285

9.92 277 

9. 92 269 

9. 92 260 

9. 92 252 

9. 92 244

9. 92 2a5 

9. 92 227 

9. 92 219 

9. 92 211 

9. 92 202

9. 92 194 

9. 92 186 

9.92177 

9. 92 169 

9. 92 161

9. 92 152 

9. 92 144 

9. 92 136 

9. 92 127 

9. 92 119

9. 92 111 

9. 92 102 

9. 92 094 

9. 92 086 

9. 92 077

9.92 069 

9. 92 060 

9. 92 052 

9.92 044 

9. 92 035

9. 92 027 

9. 92 018 

. 9. 92 010 

9.92 002 

9. 91 993

9. 91 985 

9. 91 976 

9. 91 968 

9. 91 959 

9. 91 951

9.91 942 

9. 91 934 

9. 91 925 

9.91 917 

9.91 908

9.91 900 

9. 91 891 

9. 91 883 

9. 91 874 

9. 91 866

9. 91 857

L. Sin.

d.

8 

8 

8 

9

8 

8 

9 

8

8 

9 

8

8

8 

8 

8 

.9

8 

9 

8 

8

8 

8 

9

8

9

8 

8 

9

9 

8 

8 

9

9 

8 

8 

9

9 

8 

9 

8 

9

8 

9 

8 

9

9 

8 

9 

8

d.

60

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

48 0 

56

'- 52 

48 

. 44

47 40 

36 

32 

28 

24

47 20 

16 

12 

8 

4

47 0 

56 

52 

48 

44

46 40 

36 

32 

28 

24

46. 20 

16 

12 

8 

4

46 0 

56 

52 

48 

44

45 40 

36 

32 

28 

24

45 20 

16 

12

8 

4

45 0 

56 

52 

48 

44

44 40 

36 

32 

28 24 '

44 20 

16 

12 

8 

4

44 0

.m. S.

56°
GANNKTT.] GEOGEAPHIC TABLES AND FOEMULAS. 179 

TABLE 21. Mve-place logarithms of circular functions, etc. Continued. 

2h 34°

m. s.

16 0 

4 

8 

12 

16

16 20 

24 

28 

32 

36

16 40 

44 

48 

52 

56

17 0 

4 

8 

12 

16

17 20 

24 

28 

32 

36

17 40 

44 

48 

52 

56

18 0 

4 

8 

12 

16

18 20 

24 

28 

32 

36

18 40 

44 

. 48 

52 

56

19 0 

4 

8 

12 

16

19 20 

24 

28 

32 

36

19 40 

44 

48 

52 

 56

20 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

' 23 

24

25 

26 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

46 

46 

47 

48 

49

50

51 

.52 

53 

54

55 

56 

57 

58 

69

00

L. Sin.

9. 74 756 

9. 74 775 

9. 74 794 

9. 74 812 

9. 74 831

9. 74 850 

9. 74 868 

9. 74 887 

9. 74 906 

9. 74 924

9. 74 943 

9. 74 961 

9. 74 980 

9. 74 999 

9. 75 017

9. 75 036 

9. 75 054 

9. 75 073 

9. 75 091 

9. 75 110

9. 75 128 

9. 75 147 

9. 76 165 

9. 75 184 

9. 75 202

9. 75 221 

9. 75 239 

9. 75 258 

9. 75 276 

9. 75 294

9. 75 313 

9. 75 331 

9. 76 350 

9. 75 368 

9. 75 386

9. 75 405 

9. 75 423 

9. 75 441 

9. 75 459 

9. 75 478

9. 75 496 

9. 75 514 

9. 75 533 

9. 76 551 

9. 75 569

9. 75 587 

9. 75 605 

9. 75 624 

9. 75 642 

9.75 660

9. 75 678 

9. 75 696 

9. 75 714 

9. 75 733 

9. 75 761

9. 75 769 

9. 75 787 

9. 75 805 

9. 75 823- 

9. 75 841

9. 75 859

L. Cos.

d.

19 

19 

18 

19 

19

18 

19 

19 

18 

19

18 

19 

19 

18 

19

18 

19 

18 

19

1ft

19 

18 

19 

18 

19

18 

19;s

J& 

19

18 

19 

18 

18 

19

18 

18 

18 

19 

18

18 

19 

18 

18 

18

18 

19 

18 

18 

18

18 

18 

19 

18

1ft

18 

18 

18 

18 

18

d.

L. Tang.

9. 82 899 

9. 82 926 

9.82 953 

9. 82 980 

9. 83 008

9. 83 035 

9. 83 062 

9. 83 089 

9.; 83 117 

9. 83 144

9. 83 171 

9.83 198 

9. 83 225 

9. 83 252 

9.83 280

9. 83 307 

9. 83 334 

9. 83 361 

9. 83 388 

9. 83 415

9. 83 442 

9. 83 470 

9. 83 497 

9. 83 524 

9.83 551

9. 83 578 

9. 83 605 

9.83 632 

9.83 659 

9.83 686

9. 83 713 

. 9. 83 740 

9. 83 768 

9. 83 795 

9. 83 822

9.83849 

9. 83 876 

9. 83 903 

9. 83 930 

9. 83 957

9. 83 984 

9. 84 Oil 

9.84 038 

9.84 065 

9. 84 092

9. 84 119 

9.84 146 

9.84 173 

9. 84 200 

9.84 227

9. 84 254 

9.84 280 

9.84 307 

9. 84 334 

9. 84 361

9. 84 388 

9.84 415 

9.84 442 

9.84 469 

9. 84 496

9. 84 523

L. Cotg.

C. d.

27 

27 

27 

28

27

27 

27 

28 

27 

27

27 

27 

27 

28 

27

27 

27 

27 

27 

27

28 

27 

27 

27 

27

. 27 

27 

27 

27

27

27 

28 

27 

27 

27

27 

27 

27 

27 

27

27 

27 

27 

27 

27

27 

27 

27 

27 

27

26 

27 

27 

27

27

27 

27 

27 

27 

27

c. d.

L. Cotg.

0. 17 101 

0. 17 074 

0'. 17 047 

0. 17 020 

0. 16 992

0. 16 965 

0. 16 938 

0. 16 911 

0. 16 883 

0. 16 856

0. 16 829 

0. 16 802 

0. 16 775 

0. 16 748 

0. 16 720

0. 16 693 

0. 16 666 

0. 16 639 

0. 16 612 

0.16 685

0. 16 558 

0. 16 530 

0. 16 503 

0.16 476 

0. 16 449

0. 16 422 

0. 16 395 

0. 16 368 

0. 16 341 

0. 16 314

0. 16 287 

0. 16 260 

0. 16 232 

0. 16 205 

0. 16 178

0. 16 151 

0.16 124 

0. 16 097 

0. 16 070 

0. 16 043

 0.16 016 

0. 15 989 

0. 15 962 

0. 16 935 

0. 15 908

0. 15 881 

0. 15 854 

0. 15 827 

0. 15 800 

0. 15 773

0. 15 746 

0. 15 720 

0. 15 693 

0.'15 666 

0. 15 639

0. 15 612 

0.15 585 

0. 15 558 

0. 15 531 

0.15 504

0. 15 477

L. Tang.

L. Cos.

9. 91 857 

9. 91 849 

9.91 840 

9. 91 832 

9.91 823

9. 91 815 

9. 91 806 

9.91 798 

9. 91 789 

9. 91 781

9. 91 772 

9.91 763 

9.91 755 

9. 91 746 

9. 91 738

9. 91. 729 

9.91 720 

9.91 712 

9. 91 703 

9.91 695

9. 91 686 

9. 91 677 

9. 91 669 

9. 91 660 

9.91 651

9. 91 643 

9.91 S34 

9. 91 625 

9. 91 617 

9. 91 608

9. 91 599 

9. 91 591 

9. 91 582 

9.91 573 

9. 91 565

9. 91 556 

9. 91 547 

9.91 538 

9. 91 530 

9. 91 521

9. 91 512 

9. 91 504 

9. 91 495 

9. 91 486 

9.91 477

9. 91 469 

9. 91 460 

9. 91 451 . 

9. 91 442 

9.91 433

9. 91 425 

9. 91 416 

9.91 407 

 9. 91 398 

9. 91 389

9. 91 381 

9. 91 372 

9.91 363 

9.91 354 

9.91 345

9.91 336

L. Sin.

d.

8 

9 

8 

9

9 

8 

9 

8 

9

9 

8 

9 

8 

9

9 

8 

9 

8 

9

9 

8 

9 

9

9 

9 

8 

9 

9

8 

9 

9 

8 

9

9 

9 

8 

9 

9

8 

9 

9 

9

8

9 

9 

9 

9 

8

9 

9 

9 

9

9 

9 

9 

9 

9

d.

GO

59 

68 

57 

56

55 

54 

63 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

80

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

'

44 0 

56 

52 

48 

44

43 40 

36 

32 

28 

24

43 .20 

16 

12 

8 

4

43 0 

56 

52 

48 

44

 42 40 

36 

32 

28 

24

 42 '16 20 

12 

8 

4

42 0 

56 

52. 

48 

44.

41 40 

36 

32 

28 

24

41 20 

16 

12 

8 

4

41 0 

56 

52 

48 44

40 40 

36 32 ' 

28 

24

40 20 

16 

12 

8 

4

40 0

111. S.

55°
180 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2h 35°

m. s.

20 0 

4 

8 

12 

16

20 20 

24 

28 

32 

36

20 40 

44 

48 

52 

56

21 0 

4 

8 

12 

16

21 20 

24 

28 

32 

36

21 40 

44 

48 

52 

56

22 0 

4 

8 

12 

16

22 20 

24 

28 

32 

36

22 40 

44 

48 

52 

56

23 0 

4 

8 

12 

16

23 20 

24 

28 

32 

36

23 40 

44 

48 

52 

56

24 0

'

0

1

2 

3

4

' 5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

 25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

56 

57 

58 

59

00

L. Sin.

9. 75 859 

9. 75 877 

9. 75 895 

9. 75 913 

9. 75 931

9. 75 949 

9. 75 967 

9. 75 985 

9. 76 003 

9. 76 021

9. 76 039 

9. 76 057 

9. 76 075 

9.76 093 

9. 76 111

9. 76 129 

9. 76 146 

9. 76 164 

9. 76 182 

9. 76 200

9. 76 218 

9. 76 236 

9. 76 253 

9.76 271 

9. 76 289

9. 76 307 

9. 76 324 

9. 76 342 

9. 76 360 

9. 76 378

9. 76 395 

9. 76 413 

9. 76 431 

9. 76 448 

9. 76 466

9. 76 884 

9. 76 501 

9. 76 519 

9. 76 537 

9. 76 554

9. 76 572 

9. 76 590 

9. 76 607 

9. 76 625 

9. 76 642

9. 76 660 

9.76 677 

9. 76 695 

9. 76 712 

9.76 730

9. 76 747 

9. 76 765 

9. 76 782 

9. 76 800 

9. 76 817

9. 76 835 

9.76 852 

9. 76 870 

9. 76 887 

9. 76 904

9. 76 922

L.Cos.

d.

18 

18 

18 

18

18 

18 

18 18

lo

18 

18 

18 

18

17 

18 

18 

18

lo

18 

17 

18 

18

17 

18 

18 

18

17

18 

18 

17 

18

1 Q

17 

18 

18 

17

10 , 18 

17 

18 

17

1 Q

17 

18 

17 

18 

17

18 

17 

18 

17

1 Q

17 

18 

17 

17

d.

L. Tang.

9. 84 523 

9. 84 550 

9. 84 576 

9.84 603 

9. 84 630

9. 84 657 

9. 84 684 

9. 84 711 

9. 84 738 

9. 84 764

9. 84 791 

9. 84 818 

9.84 845 

9.84872 

9. 84 899

9. 84 925 

9. 84 952 

9. 84 979 

9. 85 006 

9.85033

9. 85 059 

9. 85 086 

9. 85 113 

9.85 140 

9.85 166

9.85 193 

9. 85 220 

9. 85 247 

9. 85 273 

9.85300

9. 85 327 

9. 85 354 

9.85 380 

9.85 407 

9. 85 434

9. 85 460 

9. 85 487 

9. 85 514 

9. 85 540 

9.85 567

9. 85 594 

9.85 620 

9. 85 647 

9. 85 674 

9.85 700

9. 85 727 

9.85 754 

9. 85 780 

9. 85 807 

9. 85 834

9. 85 860 

9.85 887 

9.85 913 

9. 85 940 

9. 85 967

9. 85 993 

9. 86 020 

9. 86 046 

9. 86 073 

9. 86 100

9. 86 126

L. Cotg.

c. d.

27- 

26 

27 

27

27 

27 

27 

26

27

27 

27 

27 

27 

26

27 

27

27

27

27 

27 

. 27 

26

27

27 

27 

26 

27 

27

27 

26 

27 

27 

26

27 

27 

26 

27

27

26 

27 

27 

26

27

27 

?6

27 

27

26

27 

26 

27 

27

26

27 

26

27 

27

c. d.

L. Cotg.

6. 15 477 

0. 15 450 

0. 15 424 

0. 15 397 

0. 15 370

0. 15 343 

0. 15 316 

0. 15 289 

0. 15 262 

0. 15 236

0. 15 209 

0. 15 182 

0. 15 155 

' 0.15128 

0.15 101

0. 15 075 

0.15 048 

0. 15 021 

0. 14 994

0.14967

0. 14 941 

0. 14 914 

0. 14 887 

0. 14 860 

0. 14 834

0. 14 807 

0. 14 780 

0. 14 753 

0. 14 727 

0. 14 700

0. 14 673 

0. 14 646 

0. 14 620 

0. 14 593 

0. 14 566

0. 14 540 

0. 14 513 

0. 14 486 

0. 14 460 

0. 14 433

0. 14 406 

0. 14 380 

0. 14 353 

0. 14 326 

0. 14 300

0. 14 273 

0. 14 246 

0. 14 220 

0. 14 193 

0. 14 166

0. 14 140 

0. 14 113 

0. 14 087 

0. 14 060 

0. 14 033

0. 14 007 

0. 13 980 

0. 13 954 

0.13 927 

0.13 900

0. 13 874

L. Tang.

L. Cos.

9.91 336 

9.91 328 

9.91 319 

9. 91 310 

9. 91 301

9.91 292 

9. 91 283 

9. 91 274 

9. 91 266 

9.91 257

9.91 248 

9. 91 239 

9. 91 230 

9. 91 221 

9. 91 212

9. 91 203 

9. 91 194 

9. 91 185 

9. 91 176 

9.91 167

9. 91 158 

9. 91 149 

9. 91 141 

9.91 132 

9. 91 123

9. 91 114 

9. 91 105 

9.91 096 

9. 91 087 

9. 91 078

9. 91 069 

9. 91 060 

9.91 051 

9. 91 042 

9. 91 033

9. 91 023 

9.91 014 

9.91 005 

9. 90 996 

9. 90 987

9. 90 978 

9. 90 969 

9. 90 960 

9. 90 951 

9. 90 942

9. 90 933 

9. 90 924 

9. 90 915 

9. 90 906 

9. 90 896

9. 90 887 

9. 90 878 

9. 90 869 

9. 90 860 

9. 90 851

9. 90 842 

9. 90 832 

9. 90 823 

9. 90 814 

9. 90 805

9. 90 796

L. Sin.

d.

8 

9 

9 

9

9 

9 

8 

9

9 

9 

9 

9

9 

9 

9 

9

a

9 

8 

9 

9

9 

9 

9 

9

9 

9 

9, 

9 

10

9 

9 

9 

9 

g

9 

9 

9 

9

9 

9 

9 

10 

g

9 

9 

9 

9 

9

10 

9 

9 

9 

9

d.

60

59

58 

57 

56

55 

54 53' 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

80

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

 15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

/

40 . 0 

56 

52 

48 

44

39 40 

36 

32 

28 

24

39 20 

16 

12 

8 

4

39 0

56 

52 

48 

44

38 40 

36 

32

28 

24

38 20 

16 

 12 

8 

4

38 0 

56 

52 

48 

44

37 40 

36 

32 

28 

24

37 20 

16 

12

8 

4

37 0 

56 

52 

48 

44

36 40 

36 

32 

28 

24

36 20 

16 

12 

8 

4

36 0

m. s.
00

O

o 

CO

CO 

o

»

-

^

33

 d

"

to

-a

 d 

-

o

.£?

5

 d

O SO Ol CO -#

1C O -3* T

o 

CO

o

o oo r- to

-jiOiCOO

OOOOO

O CO I to lO

I> r- 1> c- 1-

 * 

00=000=

ooooo

I>rH-*CO 

I- * !M OS to 

CO 00 00 t- I 

00000

01 oioioi 01

r-t 

otto's i-i i-l CM CM

- CO COCO OO OO

OS 01 0=0! 01

Ol Ol r- * r-< 

Ol CO lO r- Oi

O 

010:010101

OOOOso:

 . '. Ol CO T»>

o * oo 01 tp 

01

lO 

JO

LO 

?3giSS

T' CO Ol r-i 

lO lO lO lO *O

010010101

S3 3823 i> I> I- t*- ti 

oocscso

OOOOO

'iiO 00 (MuC

TT ^-copco 

co co co co co

ooooo

o r* to r-- r-

<M<N (M<MC1

Ci-iOOl CO-tO 

iO CO i 1 CO ^D 

C>1 (M CO CO CO

CO OO GO GO CO

C^ O5 C5 C5 Ci

O O CO i t CO

>o 

oooioJo:

SSSSo"

o r- oo 01

O -^ OO (M O

#1

c-ioiiMcoco 

OOlOOt^ 

»

lO

<Nr-ir-i

OOI^CC-* 

O

»5 ^T ^T ^J1 "^

0010=010

S

TT'lO O 1^ 

o= oo r- ^o 

t~ tootoo

Ol 

ooooo

Ol Ol OS Ol

Ol Ol Ol Ol Ol

OO C^'»O OS Ol 

O OOlO C^ O

:O LO lO lO 1C

CO CO CO CO CO

ooooo

o r~ o t^ o

C^O] 01 CNIM

01 OOl>C ^H CO 

Ol r . ~V P~ Ol

CO ^ rr ^r -^

GO CO COOOOO

OSC1 OSOlOl

MO 01 o r^ T?

01 tH CO * -0

OS OS OS Cs OS

S r-l Ol. CO -*

o-* cool as 

 ^ "rr "T 10 10

01

 *

o tool co-*

U3 tO -^ -^

IO-*COO1 

CO

o

t-t

TT -rp -<Ji T "51

Ol OS Ol O Ol

1^ GO OS O O 

to 

lO^TCOCOOl 

!^ O CO O

to 

0=01010=0=

C7= CO l~- O 

L^ -T Ol Ol tCO CO CO CO CO

, 

ooooo

1^ tOtOl> O 

Ol (MO1 O1O)

Tj- i-Ht^COO

CO 

ggS8S

COCO CO CO

o 010=0=0=

i-l O1OCOO 

CC Ol ^^ CO-O 

I-l r-IOlC<lo5

Oi Cl OS O= Ol

10 tor- coos

o5

0^0001^3

O to IM CO TJt 

-* CO CO Ol Ol

OO13OCCO

 *

O 

^i CO CO CO CO

O1OO1O1O1

to 

SSoiSS 

to ioid o

01 

ooooo

OS 01 OS OS

ooooo

COCOO1O1O1

55SS?§

r- to r* to rOKMO1O1 Ol

to co 01 to 01

lOOOO COtC

CO COCO CO CO

OS Ol OS OS OS

COliO Ol Ol to

toco o ' co

Ol 

O1O1COCOCO

Ol Cl OS Ol

OI-H oieo-*

U] Ol Ol Ol Ol

O -* OO Ol O 

a

O1OJO1COCO

CO 

lO-S'COOlr-! 

CO

 *

C5«5O>CO-*

CO CO CO CO

00=0=001

g OS 

oooo 

Ol Ol Cl

Cl Ol Cl OS Ol

CC 

S'SSSffl

CO CO CO CO

ooooo

o r-- o o i>-

CN CN (M CN C^

Oa-ic <M CO TJH 

OOi-i TT =OCi 

I> OO OOCOCO

Ci Ci O Ci Cs

co o r-iiOCN

»o i-^ co o oj

CO CO COT ^1

r^> i>. i> i> i>

iO 

CsasCsOiO

co t^ CO Cs 

CN CM (N C^ OJ

 ^r 

O^COCMO

TT -^ 10 10

8

o -o c<» co ^*

iC to ^r -rj*

§ 

$

CM Ol CN 01

r-i r-1

CS 

CSOCSOO

CO O O CO

CO 

S§o§cS

CO CO CO <M

ooooo

O t-- CO !> O 

CM CN CN CN CN

COCO 

gslii

00 00 00

Ol 

00=01010=

to COO 1^ 

CO lO 1^ OS O

Ol Ol OS Ol OS

^5 

O'-'OICO-J' 

CO CO CO CO

o -* cooi to

01

TT 

OtOOlOOTf 

CO CO Ol Ol

iO^ 

%

COCNi-( 

(NCNOICNCN

cs o cs as o

i> 

iHCMC^COr^

o -r TT co

^ Tf TJ1 ^ TJ<

Ci 

ooooo

Cs Ci CJ Cs

0= OS OS OS OS

Tf 

t~-i-l-*COCN

Ol Ol to -^

o= o= ooooco

^^ 

O1OKNO1O1

rH I 1 i i t i

ooooo

ot- to tores 01010101

ccc= tool co 

§r~ o co »o 

Oi-irt i-l

00 CO COOOOO

Ol OS OS OS OS

^ rH "'H1~l

^ )-! CC'iO <M

CN ^r u7 i-^ cs 

iO iO lO iC iO

10 

ooooo

to r- oo o

CO CO CO CO CO

O^COCN tO 

Ol O1O1COCO

§

c-tq 0

CO

CO 

I

ooo

<j:| 1 

OIO

I-

-*iiO'l

Ol rH 

O 

ooo

O 

 iff. 

0=0=

O O

oo 

^-OO

i> t

Ol Ol O

ooo

(MO1

tor

iiC i I O

OO r- C

i-IOlC

O 

00000

O O

O 

toto

otoc

O O 

^, 

OT-IC

 * 

o * 

 ^1 * 

Ol
182 . GEOGEAPHIC TABLES AND FOEMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2h 37°

m. s.

28 0 

4 

8 

12 

16

28 20 

24 

28 

32 

36

28 40 

44 

48 

52 

. 56

29 0 

4 

8 

12 

16

29 20 

24 

28 

32 

36

29 40 

44 

48 

52 

56

30 0 

4 

8 

12 

16

30 20 

24 

28 

32 ' 36

30 40 

44 

48 

62 

50

31 0 

4 

' 8 

12 

16

31 20 

24 

28 

32 

36

31 40 

44 

48 

52 

56

32 0

'

0

1 

2 

3 

4

5 

6

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 '37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

9.77 946 

9. 77 963 

9. 77 980 

9. 77 997 

9. 78 013

9. 78 030 

9.78 047 

9. 78 063 

9. 78 080 

9.78097

9. 78 113 

9. 78 130 

9. 78 147 

9. 78 163 

9. 78 180

9. 78 197 

9. 78 213 

9. 78 230 

9. 78 24C 

9.78 263

9. 78 280 

9. 78 296 

9. 78 313 

9. 78 329 

9. 78 346

9. 78 362 

9. 78 37? 

9. 78 395 

9. 78 412 

9. 78 428

9. 78 445 

9. 78 461 

9. 78 478 

9. 78 494 

9. 78 510

9. 78 527 

9. 78 543 

9. 78 560 

9. 78 576 

9. 78 592

9. 78 609 

9. 78 625 

9. 78 642 

9. 78 658 

9. 78 674

9. 78 691 

9. 78 707 

9. 78 723 

9. 78 739 

9. 78 756

9. 78' 772 

9. 78 788 

9. 78 805 

9. 78 821 

9. 78 837

9. 78 853 

9. 78 869 

9. 78 886 

9. 78 902 

9. 78 918

9.78 934

L. Cos.

d.

17 

17 

17 

16 

17

17 

16 

37 

17 

16

17 

17 

16 

17 

17

16 

17 

16 

17 

17

16 

17 

16 

17 

16

17 

16 

17 

16 

17

16 

17 

16 

16 

17

16 

17 

16 

16ir

 16 

17 

16 

16 

17

16 

16 

16 

17 

16

16 

17 

16 

16 

16

 16 

17 

16 

16 

16

d.

L. Tang.

9.87 711 

9. 87 738 

9.87 764 

9.87 790 

9. 87 817

9. 87 843 

9. 87 869 

9. 87 895 

9.87 922 

9. 87 948

9. 87 974 

9. 88 000 

9. 88 027 

9. 88 053 

9. 88 079

9. 88 105 

9. 88 131 

9. 88 158 

9. 88 184 

9. 88 210

9.88 236 

9. 88 262 ' 

9. 88 289 

9.88 315 

9.88 341

9. 88 367 

9. 88 393 

9. 88 420 

. 9. 88 446 

9. 88 472

9. 88 '498 

9. 88 524 

9. 88 550 

9. 88 577 

9. 88 603

9. 88 629 

9. 88 655 ' 

9.88 681 

9. 88 707 

9.88 733

9. 88 759 

9. 88 786 

9. 88 812 

9.88838 

9: 88 864

9. 88 890 

9. 88 916 

9. 88 942 

9. 88 968 

9. 88 994

9. 89 020 

9.89 046 

9. 89 073 

9. 89 099 

9. 89 125

9. 89 151 

9. 89 177 

9.89 203 

9. 89 229 

9. 89 255

9.89 281

L. Cotg.

c. d.

27 

26 

26 

27 

26

26 

26 

27 

26 

26

26 

27 

26 

. 26 

26

26 

27 

26 

26 

26

26 

27 

26 

26 

26

26 

27 

26 

26 

26

26 

26 -27' 

26 

26

26 

26 

26 

26 

26

27 

26 

26 

26 

26

26 

26 

26 

26 

26

26 

27 

26 

26 

26

26 

26 

26 

26 

26

c. d.

L. Cotg.

0. 12 289 

0:12 262 

0. 12 236 

0. 12 210 

0. 12 183

0. 12 157 

0. 12 131 

0. 12 105 

0. 12 078 

0. 12 052

0. 12 026 

0. 12 000 

0. 11 973 

0.11 947 

0.11 921

0. 11 895 

0. 11 869 

0. 11 842 

0. 11 816 

0. 11 790

0. 11 764 

0. 11 738 

0. 11 711 

0. 11 685 

0.11 659

0. 11 633 

0.11 607 

0. 11 580 

0. 11 554 

0. 11 528

0. 11 502 

0. 11 476 

0. 11 450 

0.11 423 

0. 11 397

0. 11 371 

0.11 345 

0. 11 319 

0. 11 293 

0. 11 267

0. 11 241 

0. 11 214 

 0.11 188 

O.-ll 162 

0. 11 136

0.11 110 

0. 11 084 

0. 11 058 

0. 11 032 

0. 11 006

0. 10 980 

0. 10 954 

0. 10 927 

0. 10 901 

0. 10 875

0. 10 849 

0. 10 823 

0. 10 797 

0. 10 771 

0. 10 745

0. 10 719

L. Tang.

L. Cos.

9,90 235 

9. 90 225 

9. 90 216 

9. 90 206 

9. 90 197

9. 90 187 

9. 90 178 

9. 90 168 

9. 90 159 

9. 90 149

9.90 139 

9. 90 130 

9. 90 120 

9. 90 111 

9. 90 101

9. 90 091 

9. 90 082 

9.90072 

9.90063 

9. 90 053

9. 90 043 

9. 90 034 

9. 90 024 

9. 90 014 

9. 90 005

9. 89 995 

9. 89 985 

9.89 976 

9. 89 966 

9. 89 956

9. 89 947 

9.89 937 

9. 89 927 

9. 89 918 

9.89 908

9. 89 898 

9.89 888 

9. 89 879 

9. 89 869 

9.89 859

9.«9 849 

9.89840 

9. 89 830 

9. 89 820 

9. 89 810

9. 89 801 

9. 89 791 

9.89 781 

9.89 771 

9.89 761

9. 89 7f>2 

9. 89 742 

9.89 732 

9.89 722 

9. 89 712

9.89 702 

9. 89 693 

9. 89 683 

9. 89 673 

9. 89 663

9. 89 653

L. Sin.

d.

10 

9 

10 

. 9 

10

9 

10 

9 

10 

10

9 

10 

9 

10 

10

9 

10 

9 

10 

10

9 

10 

10 

9 

10

10 

9 

10 

10 

9

10 

10 

9 

10 

10

10 

9 

10 

10 

10

9 

10 

10 

10 

9

10 

10 

10 

10 

9

10 

10 

10 

10 

10

9 

10 

10 

10 

10

d.

GO

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

/

32 0 

56 

52 

48 

44

31 40 

36 

32 

28 

24

31 20 

16 

12 

8 

4

31 0 

56 

52 

48 

44

30 40 

36 

32 

28 

24

30 20 

16 

12 

8 

4

30 0

56 

52 

48 

44

29 40 

36 

32

28 

24

29 20 

16 

12 

8 

4

29 0 

56 

52 

48 

44

28 40 

36 

32 

28 

24

28 20 

16 

12

8 

4

28 0

m. s.

52°
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 183 

TABLK 21. .Five-place logarithms of circular functions, elc. Continued. 

2h 38°

m. s.

32 0 

4 

8 

12 

10

32 20 '24 

28 

32 

36

32 40 

44 

' 48 

52 

56

33 0 

4 

8 

12 

1C

33 20 

24 

28 

' 32 

36

33 40 

44 

48 

52 

56

34 p 

4

8 

12 

1C

34 20 

24 

28 

32 

36

34 40 

44 

48 

52 

56

35 0 

4 

8 

12 

1C

35 20 

24 

28 

32 

30

35 40 

44 

48 

52 

56

36 0

'

0

1

2 

3 

4

5 

C

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

2G 

27 

28 

29

80

31 

32 

33 

34

35 

36 

37 

38 

89

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

61 

52 

53 

54

55 

56 

67 

58 

59

GO

L. Sin.

9. 78 934 

9.78 950 

9. 78 967 

9. 78 983 

9. 78 999

9. 79 015 

9. 79 031 

9. 79 047 

9. 79 063 

9. 79 079

9. 79 095 

9. 79 111 

9. 79 128 

9. 79 144 

9. 79 160

9. 79 176 

9. 79 192 

9. 79 208 

9. 79 224 

9.79 240

9. 79 256 

9. 79 272 

9. 79 288 

9.79 304 

9. 79 319

9. 79 335 

9. 79 351 

9. 79 367 

9. 79 383 

9. 79 399

9. 79 415 

9. 79 431 

9. 79 447 

9. 79 463 

9. 79 478

9. 79 494 

9.79 510 

9. 79 526 

9.79542 

9.79 558

9; 79 573 

9.79 589 

9. 79 605 

9. 79 621 

9. 79 636

9. 79 652 

9. 79 668 

9. 79 684 

9. 79 699 

9. 79 715

9. 79 731 

9.79 74C 

9. 79 7C2 

9. 79 778 

9. 79 793

9. 79 809 

9. 79 825 

9. 79 840 

9. 79 85G 

9. 79 872

9. 79 887

L. Cos.

d.

16 

17 

16 

16

1C 

16 

16 

16

1C

16 

17 

16 

36

16

16 

16 

16 

16

1C 

16 

16 

15

16 

1C 

1C 

1C

1C 

16 

16 

15

16

16 

16 

16 

16

15

16 

16 16' 

15

16 

16 

15 

16

15 

16 

16 

15

16 

 15 

16 

16

d.

L. Tang.

9.89 281 

9.89 307 

9. 89 333 

9. 89 359 

9.89 385

9. 89 411 

9. 89 437 

9. 89 463 

9.89 489 

9. 89 515

9. 89 541 

9. 89 567 

9. 89 593 

9.89 619 

9. 89 645

9.89 671 

9.89 697 

9.89 723 

9. 89 749 

9. 89 775

'9. 89 801 

9. 89 827 

9. 89 853 

9.89879 

9. 89 905

9. 89 931 

9. 89 957 

9. 89 983 

9. 90 009 

9. 90 035

9. 90 061 

9. 90 086 

9. 90 112 

9. 90 138 

9. 90 164

9. 90 190 

9. 90 216 

9. 90 242 

' 9. 90 268 

9. 90 294

9. 90 320 

9. 90 346 

9. 90 371 

9. 90 397 

9. 90 423

9. 90 449 

9. 90 475 

9. 90 501 

a. 90 527 

9. 90 553

9. 90 578 

9. 90 604 

9. 90 G30 

9. 90 656 

9. 90 682

9. 90 708 

9. 90 73-1 

9.90 759 

9. 90 785 

9. 90 811

9. 90 837

L. Cotg.

c.d.

26 

26 

26 

26

26

20 

26 

26 

26

26

26 

26 

26 

26

20

20 

26 

26 

26

20

26 

26 

26 

26

20 

26 

26 

26

26

25 

26 

26 

26

26

26 

26 

26 

26

26

26 

25 

26 

26

20

2C 

26 

26 

26

. £v

26 

26 

26 

26

26

26 

25 

26 

26

c.d.

L. Cotg.

0. 10 719 

0. 10 693 

0.10 667 

0. 10 C41 

0. 10 615

0. 10 589 

0. 10 563 

0. 10 537 

0. 10 511 

0.10 485

0. 10 459 

0. 10 433 

0. 10 407 

0. 10 381 

0.10 355

0.10 329 

0. 10 303 

0. 10 277 

0. 10 251 

0.10 225

0. 10 199 

0. 10 173 

0. 10 147 

0. 10 121 

0. 10 095

0. 10 069 

0. 10 0-13 

0. 10 017 

0. 09 991 

0. 09 965

0. 09 939 

0. 09 914 

0. 09 888 

0. 09 862 

0. 09 836

0. 09 810 

0.09 784 

0.09 758 

0.09 732 

0.09 706

0. 09 680 

0. 09 654 

0.09 629 

0. 09 603 

0.09 577

0.09 551 

0.09 525 

0.09 499 

0. 09 473 

0. 09 447

0. 09 422 

0. 09 396 

0. 09 370 

0. 09 344 

0. 09 318

0. 09 292 

0. 09 266 

0.09 241 

0. 09 215 

0.09 189

0.09 163

L. Tang.

L. Cos.

9. 89 653 

9. 89 643 

9. 89 633 

9. 89 624 

9. 89 614

9. 89 604 

9. 89 594 

9.89 584 

9. 89 574 

9. 89 564

9. 89 554 

9. 89 544 

9.89 534 

9.89 524 

9. 89 514

9. 89 504 

9. 89 495 

9. 89 485 

9. 89 475 

9. 89 465

9. 89 455 

9.89 445 

9. 89 435 

9. 89 425 

9. 89 415

9. 89 405 

9. 89 395 

9.89 385 

9.89 375 

9.89 364

9. 89 354 

9. 89 344 

, 9. 89 334 

9. 89 324 

9. 89 314

9. 89 304 

9. 89 294 

9.89 284 

9.89 274 

9. 89 264

9. 89 254 

9. 89 244 

9. 89 233 

9. 89 223 

9.89 213

9. 89 203 

9.89 193 

9. 89 183 

9. 89 173 

9.89 162

9.89 152 

.9.89 142 

9.89 132 

9.89 122 

9.89 112

9.89 101 

9.89 091 

9.89 081 

9. 89 071 

9. 89 060

9.89 050

L. Sin.

d.

10 

10 

9 

10

10

10 

10 

10 

10

10

10 

10 

10 

10

10

9 

10 

10 

10

10

10 

10 

10 

10

10

.10 

10 

10 

11

10

10 

10 

10 

10

10

10 

10 

10 

10

10 

1011

10 

10

10

10 

10 

1011

1010'

10 

10 

1011

10 

10 

1011

10

d.

00

59 

68 

57 

6G

55 

54 

53 

52 

51

50

49 

48 

47 

4G

45 

44 

43 

42 

41.

40

39 

38 

37 

36

35 

34 

33 

32 

SI80

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

G

5 

4 

3 

2 

1

0

i

28 0 

5C 

52 

48 

44.

27 40 

. 3G 

32 

28 

24

27 20 

16 

12 

8 

4

27 0 

56 

52 

48 

44

2G 40 

36 

 32 

28 

24

26 20 

16 

12 

8 

4

26 0 

56 

52 

48 

44

25 40 

36 

32 

28 

 24 '

25 20 

16 

12 

8 

4

25 0 

56 

52 

48 

44

24 40 

36 

32 

28 

24 .

24 20 

16 

12 

8 

4

24 0

in. s.

51° 3h
184 GEOGRAPHIC TABLES AND FORMULAS. [»ui,i,234.

TABLE 21. Five-place logarithms of circular functions, etc. Continued.

2h 39°

in. s.

30 0 

4 

8 

12 

16

30 20 

24 

28 

32 

36

36 40 

44 

48 

52 

56

37 0 

4 

8 

12 

16

37 20 

24 

28 

32 

36

37 40 

44 

48 

52 

56

38 0 

4 

8 

12 

16

38 20 

24 

28 

32 

36

38 40 

44 

48 

52 

56

39 0 

4 

8 

12 

16

39 20 

24 

28 

32 

36

39 40 

44 

48 

52 ' 56

40 0

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

. 12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31

32 

33 

34

35 

36 

37 38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

60

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9. 79 887 

9. 79 903 

9. 79 918 

9. 79 934 

9.79 950

9. 79 965 

9.79 98 L 

9. 79 996 

9. 80 012 

9. 80 027

9. 80 043 

9. 80 058 

9. 80 074 

9. 80 089 

9. 80 105

9. 80 120 

9.80136 

9. 80 151 

9.80 166 

9. 80 182

9.80 197 

9. 80 213 

9. 80 228 

9. 80 244 

9.80 259

9. 80 274 

9. 80 290 

9. 80 305 

9. 80 320 

9. 80 336

9. 80 351 

9. 80 366 

9. 80 382 

9.80 397 

9. 80 412

9. 80 428 

9. 80 443 

9. 80 458 

9. 80 473 

9. 80 489

9.80 504 

9. 80 519 

9.80 534 

9. 80 550 

9. 80 565

9. 80 580 

9.80 595 

9.80 610 

9. 80 625 

9. 80 C41

9'. 80 656 

9. 80 671 

9. 80 686 

9. 80 701 

9. 80 716

9.80 731 

9. 80 746 

9. 80 762 

9.80 777 

9.80 792

9. 80 807

 L. Cos.

d.

16 

15 

16 

16

15

16 

15 

16 

15

15 

16 

15 

16

16 

15 

15 

16

15

16 

15 

16 

15

16 

15 

15 

16

15

15 

16 

15

15

15 

15 

15 

16

15

15 

15 

16 

15

15

15 

15 

15 

16

15

15 

15 

15 

15

15

15 

16 

15 

15

d.

L. Tang.

9. 90 837 

9. 90 863 

9. 90 889 

9. 90 914 

9. 90 940

9. 90 966 

9. 90 992 

9. 91 018 

9. 91 043 

9. 91 069

9. 91 095 

9.91 121 

9.91 147 

9.91 172 

9.91 198

9.91 224 

9.91 250 

9. 91 276 

9.91 301 

9.91 327

9. 91 353 

9.91 379 

9.91 404 

9. 91 430 

9, 91 456

9. 91 482 

9. 91 507 

9. 91 533 

9.91 559 

9.91 685

9.91 610 

9.91 636 

9. 91 662 

9. 91 688 

9. 91 713

9. 91 739 

9.91 765 

9. 91 791 

9. 91 816 

9. 91 842

9. 91 868 

9.91 893 

9.91 919 

9.91 945 

9. 91 971

9.91 996 

9.'92 022 

9. 92 048 

9. 92 073 

9. 92 099

9. 92 125 

9. 92 150 

9. 92. 176 

9.92 202 

9. 92 227

9. 92 253 

9. 92 279 

9. 92 304 

9. 92 330 

9. 92 356

9.92 381

L. Cotg.

c. d.

26 

. 26 

25 

26

26

26 

26 

25 

26

26

26 

26 

25 

26 

20

26 

26 

25 

26

26

26 25' 

26 

26

25 

26 

26 

26

25

26 

26 

26 

25

26

 " 26 

26 

25 

26

25 

26 

26 

26

26 

26 

25 

26

25 

26 

26 

25

26

26 

25 

26 

26

C. d.

L. Cotg.

0. 09 103 

0.09 137 

0. 09 111 

0.09 086 

0. 09 060

0. 09 034 

0. 09 008 

0. 08 982 

0. 08 957 

0. 08 931

0. 08 905 

0. 08 879 

0. 08 853 

0. 08 828 

0. 08 802

0. 08 776 

0.08750 

0/08 724 

0. 08 699 

0. 08 673

0. 08 647 

0. 08 621 

0. 08 596 

0. 08 570 

0. 08 544

0. 08 518 

0. 08 493 

0. 08 467 

0. 08 441 

0.08 415

0. 08 390 

0. 08 364 

0. 08 338 

0.08 312 

0. 08 287

0. 08 261 

0. 08 235 

0. 08 209 

0. 08 184 

0.08 158

0. 08 132 

0. 08 107 

0. 08 081 

0. 08 055 

0. 08 029

0. 08 004 

0.07 978 

0.07 952 

0. 07 927 

0. 07 301

0. 07 875 

0. 07 850 

0. 07 824 

0. 07 798 

0. 07 773

0.07 747 

0.07 721 

0.07 696 

0. 07 670 

0.07 644

0.07 619

L. Tang.

L. Cos.

9. 89 050 

9. 89 040 

9. 89 030 

9. 89 020 

9. 89 009

9. 88 999 

9. 88 989 

9. 88 978 

9. 88 968 

9. 88 958

9. 88 948 

9. 88 937 

9. 88 927 

9. 88 917 

9. 88 906

9. 88 896 

9.88886 

9. 88 875 

9. 88 865 

9. 88 855

9. 88 844 

9. 88 834 

9. 88 824 

9. 88 813 

9. 88 803

9.88 793 

9. 88 782 

9.88 772 

9. 88 761 

9. 88 751

9. 88 741 

9.88 730 

9. 88 720 

9. 88 709 

9. 88 699

9. 88 688 

9. 88 678 

9.88 668 

9.88 657 

9.88 647

9. 88 636 

9.88 626 

9.88 615 

9. 88 605 

9. 88 594

9.88 584 

9. 88 573 

9.88 563 

9.88 552 

9. 88' 542

9.88 531 

9. 88 521 

9. 88 510 

9.88 499 

9. 88 489

9. 88 478 

9. 88 468 

9. 88 457 

9. 88 447 

9. 88 436

9. 88 425

L. Sin. 

d.

10 

10 

10 

11

10

10 

11 

10 

10

10

11 

10 

10 

11

10

10 

11 

10 

1011

10 

1011

10

10

11

1011

10

10

11

10

11

10

10 

1011

1011

1011

1011

10

11

1011

10

1011 11

10

1011

101111

d.

60

59

58 

57 

50

55 

54 

53 

52 

51

60

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

'1617 

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

' 

24 0 

56 

52 

48 

44

23 40 

. 36 

32 

. 28 

24

23 20 

16 

12 

8 

4

23 0 

56 

52 

48 

44

22 40 

36 

32 

 28 

24

22 20 

16 

12 

8 

4

22 0 

56 

52 

48 

44

21 40 

36 

32 

28 

24

21 20 

16 

12 

8 

4

21 0 

56 

52 

48 

44

20 40 

30 

32 

28 

24

20 20 

30 

12

8 

4

20 0

m. s.

50C
GANNETT.] GEOGRAPHIC TABLES ANJ) FORMULAS. 185

TABLE 21. Five-place logarithms of circular functiom, etc. Continued.

2h - 40°

in. s.

40 0 

/ 4 

12' S 

36

 10 20 

24 

28 

32 

36

40 40 

44 

48 

52 

56

41 0 

4 

8 

12 

16

41 20 

24 

28 

32 

36

41 40 

44

' 48 

52 

56

42 0 

4 

8 

12 

16

42 20 

24 

28 

32 

36

42 40 

44

48 

52 

56

4:1 0 

4 

8 

12 

1C

43 20 

24 

28 

32 

30

43 40 

44 

48 

52 

56

44 0

'

0

1 

2 

3 

4

5 

C 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

'20

21 

22 

23 

24

25 

26 

27 

28 

29

so

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53

54

55 

56 

57 

58 

59

60

L. Sin.

9. 80 807 

9. 80 822 

9. 80 837 

9. 80 852 

9. 80 867

9. 80 882 

9. 80 897 

9. 80 912 

9. 80 927 

9. 80 942

9. 80 957 

9. 80 972 

9.80 987 

9. 81 002 

9.81 017

9.81 032 

9.81 047 

9. 81 061 

9. 81 076 

9. 81 091

9.81 106 

9. 81 121 

9. 81 136 

9.81 151 

' 9.81 166

9.81 180 

9.81 195 

9. 81 210 

9.81 225 

9. 81 240

9. 81 254 

9. 81 2C9 

9. 81 284 

9.81 299 

9. 81 314

9.81 328 

9. 81 343 

9: 81 358 

9. 81 372 

9. 81 387

9.81 402 

9.81 417 

9. 81 431 

9.81 446 

9.81 461

9.81 475 

9. 81 490 

9. 81 505 

9.81 519 

9.81 534

9. 81 549 

9.81 563 

9.81 578 

9.81 592 

9.81 C07

9. 81 622 

9.81 636 

9. 81 651 

9. 81 665 

9. 81 680

9. 81 694

L. Cos.

cl.

15 

15 

15 

15 

15

15 

15 

15 

15

T%

15 

15 

15 

15 

15

15 

14 

15

15 

1.5

16 

15 

15 

15 

14

15 

15 

15 

15 

14

15 

15 

15 

15 

14

15 

15 

14 

15

' 1 f\

15 

14 

15 

15 

14

15 

15 

14 

15 

35

54 

15 

14 

15 

15

 14 

15 

. 14 

15 

14

d.

L. Tuny.

9. 92, 381 

9. 92 407 

9. 92 433 

9. 92 458 

9.92 484

9.92 510 

9. 92 5Si 

9. 92 561 

9. 92 587 

9.92 612

9. 92 638 

9.92 663 

9. 92 689 

9. 92 715 

9. 92 740

9. 92 766 

9.92 792 

9. 92 817 

9.92 843 

9. 92 868

9. 92 894 

9.92 920 

9. 92 945 

9. 92 971 

9. 92 990

9. 93 022 

9.93 048 

9. 93 073 

9. 93 099 

9.93 124

9. 93 150 

9.93 175 

9. 93 201 

9. 93 227 

9. 93 252

9. 93 278 

9. 93 303 

9.93 329 

9.93 354 

9. 93 380

9.93 406 

 9. 93 431 

9. 93 457 

9. 93 482 

9. 93 508

9.93 533 

9. 93 559 

9.93 584 

9.93 610 

9.93 636

9.93 661 

9. 93 687 

9.93 712 

9. 93 738 

9.93 763

9.93 789 

9. 93 814 

9. 93 840 

9. 93 865 

 9. 93 891

9.93 916

L. Cotg.

c. cl.

26 

26 

25 

26 

26

25 

26 

26 

25 

.26

25 

26 

26 

25

26 

25 

26 

25 

26

26 

25 

26 

25 

26

26 

25 

26 

25 

26

25 

26 

26 

25 

26

25 

26 

25 

26 

26

25 

26 

25 

26

OC

26 

25 

26 . 

26 

25

26 

25 

26 

25 

26

25 

26 

25 

26 

25

c. d.

L. Cotg.

0. 07 619 

0.07 593 

0,07 507 

0.07 542 

0.07 516

0.07 490 

0. 07 465 

0. 07 439 

0. 07 413 

0. 07 388

0. 07 362 

0.07 337 

0. 07 311 

0.07 285 

0. 07 260

0.07 234 

0.07 208 

0.07 183 

0. 07 157 

0.07 132

0.07 106 

0.07 080 

0.07 055 

0.07 029 

0. 07 004

0. 06 978 

0. 06 952 

0. 06 927 

0. 06 901 

0. 06 876

0.06 850 

0. 06 825 

0. 06 799 

0.06 773 

0. 06 748

0. 06 722 

0.06 697 

0. 06 671 

0.06 646 

0. 06 620

0.06 594 

0.06 569 

0. 06 543 

0.06 518 

0.06 492

0.06 467 

0.06 441 

0.06 416' 

O.OC 390 

0. 06 364

0.06 339 

0.06 313 

0. 06 288 

0. 06 262 

0. 06 237

0.06 211 

0.06 186 

0.06 160 

0.06 135 

0. 06 109

"C. 06 084

L. Tang.

L. Cos.

9.88 425 

9. 88 415 

9. 88 404 

9. 88 394 

9. 88 383

9. 88 372 

9. 88 362 

9. 88 351 

9. 88 340 

9. 88 330

9. 88 319 

9.88 308 

9.88 298 

9. 88 287 

9. 88 276

9. 88 266 

9. 88 255 

9. 88 244 

9. 88 234 

9. 88 223

9.88 212 

9. 88 201 

9. 88 191 

9.88 180 

9.88 169

9.88 158 

9. 88 148 

9.88 137 

9.88 126 

9.88 115

9. 88 105 

9. 88 094 

9. 88 083 

9. 88 072 

9. 88 061

9. 88 051 

9. 88 040 

9. 88 029 

9.88 018 

9. 88 007

9.87 996 

9.87 m 

9. 87 975 

9.87 904 

9.87 953

9. 87 942 

9.87 931 

9.87 920 

9. 87 909 

9. 87 898

9. 87 887 

9.87 877 

9.87 866 

9.87 855 

9. 87 844

9. 87 833- 

9. 87 822 

9.87 811 

9. 87 800 

9.87 789

9.87 778

L. Sin.

cl.

10 

11. 

10 

11.

10 

11 

11 

10 

11

11 

10 

11 

11 

10

11 

11 

10 

11

11 

10 

11 

11 

11

1011 11 11

10

11 11 11 11

10

11 11 11 11 11

11

10

11 

11 

11

11 

11 

11 

11

1011 

'11 11 

11

11 11 .11 11 11

d.

00

59 

58 

57 

56

55 

54 

53 

52 

61

50

49

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

:to

29

28 

27 

26

25 

24 

23 

22 

21

 20

19 

18

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

20 0 

56 

52 

48 

44

19 40 

36 

32 

28 

24

19 20 

1C 

12 

8 

4

19 0 

56 

52 

48 

44

18 40 

36 

32 

28 

24

18 20 

16 

1.2 

8 

4

18 0 

56 

52 

48 

44

17 40 

36 

32 

28 

24

37 20 

16 

 12 

 8 

4

17 0 

56 

52 

48 

44

1C 40 

36 

32 

28 

24

16 20 

16 

12 

8 

4

16 0

111. S

49C 3"
186 GEOGRAPHIC TABLES AND FORMULAS. [BOLL.284.

TABLE 21. Fine-place logarithms of circular functions, etc. Continued.

2" 41°

m. s.

44 0 

. 4 

8 

12 

16

44 20 

24 

28 

32 

36

44 40 

44 

48 

62 

66

45 0 

4 

8 

12 

16

45 20 

24 

28 

32 

36

45 40 

44 

48 

52 ' 56

46 0 

4 

8 

12 

16

46 20 

24 

28 

32 

36

46 40 

44 

48 

52 

56

47 0 

4 

. 8 

12 

16

47 20 

24 

28 

32 

36

47 40 

44 

48 

52 

56

48 0

'

0

1 

2 

3

4

5 

6 

7 

8 

9

10

n

12 

13 

14

15 

16 

17 

18 

19

20

'22 21 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43

44

45 

46 

47 

48 

49

50

51 

52 

63 

54

55 '56

57 

58 

59

00

'L. Sin.

9.81 694 

9. 81 709 

9.81 723 

9.81 738 

9.81 752

9.81 767 

9. 81. 781 

9.81 796 

9.81 810 

9. 81 825

9. 81 839 

9. 81 864 

9. 81 868 

9. 81 882 

.9. 81 897

9.81 911 

9.81 926 

9. 81 940 

9.81 955 

9.81 969

9.81 983 

9.81 998 

9. 82 012 

9. 82 026 

9. 82 041

9. 82 055 

9. 82 069 

9.82 084 

9.82 098 

9. 82 112

9.82 126 

9. 82 141 

9. 82 155 

9.82 169 

9. 82 184

9. 82 198 

9. 82 212 

9.82 226 

9. 82 240 

9. 82 255

9.82 269 

9. 82 283 

9. 82 297 

9.82 311 

9. 82 326

9. 82 340 

9. 82 354 

9. 82 368 

9.82 382 

9. 82 396

9. 82 410 

9. 82 424 

9. 82 439 

9. 82 453 

9. 82 467

9. 82 481 

9.82 495 

9. 82 509 

9. 82 523 

9. 82 537

9.82 551

L. Cos.

d.

15 

14 

15 

14 

15

14 

15 

14 

15 

14

15 

 14 

34 

15

14

15 

14 

15 

14 

14

15 

14 

14 

15 

14

14 

15 

14 

14 

14

15 

14 

14 

15 

14

14 

14 

14 

15

14 

14 

14 

15 

14

14 

14 

14 

14 

14

14 

15 

14 

14 

14

14 

14 

14 

14 

14

d.

L. Tang.

9.93 916 

9.93 942 

9. 93 967 

9. 93 993 

9. 94 018

9. 94 044 

9. 94 069 

9.94095 

9. 94 120 

9. 94 146

9.94 171 

9. 94 197 

9. 94 222 

9. 94 248 

9. 94 273

9. 94 299 

9. 94 324 

9. 94 350 

9.94 375 

9. 94 401

9. 94 426 

9. 94 452 

9. 94 477 

9. 94 503 

9. 94 528

9. 94 554 

9. 94 579 

9.94 604 

9. 94 630 

9. 94 655

9. 94 681 

9.94 706 

9. 94 732 

9. 94 757 

9.94 783

9. 94 808 

9. 94 834 

 9. 94 859 

9. 94 884 

9. 94 910

9. 94 935 

9. 94 961 

9. 94 986 

9. 95 012 

9. 95 037

9. 95 062 

9. 95 088 

9. 95 113 

9. 95 139 

9. 95 164

9. 95 190 

9. 95 215 

9.95 240 

9. 95 266 

9. 95 291

9. 95 317 

9. 95 342 

9. 95 368 

9. 95 393 

9. 95 418

9. 95 444

L. Cotg.

c.d.

26 

25 

26 

25 

26

25 

26 

25 

26

* 9^

26 

25 

26 

25 

26

25 

26 

25 

26

OR

26 

25 

26 

25 

26

25 

25 

26 

25 

26

25 

26 

25 

26

OR

26 

25 

25 

26 

25

26 

25 

26 

25

OR

26 

25 

26 

25 

26

25 

25 

26 

25 

26

25 

26 

25 

25 

26

C.d.

L. Cotg.

0'. 06 084 

0. 06 058 

0. 06 033 

0. 06 007 

0.05 982

0. 05 956 

0. 05 931 

0.05 905 

0. 05 880 

0.05 854

0. 05 829 

0.05803 

0. 05 778 

0.05 752 

0. 05 727

0. 05 701 

0.05 676 

0. 05 650 

0.05 625 

0. 05 599

0.05 574 

0. 05 548 

0.05 523 

0. 05 497 

0. 05 472

0. 05 446 

0. 05 421 

0.05 396 

0.05 370 

0. 05 345

0. 05 319 

0. 05 294 

0.05 268 

0. 05 243 

0.05 217

0.05 192 

0. 05 166 

0.05 141 

0.05 116 

0. 05 090

0.05 065 

0.05039 

0. 05 014 

0. 04 988 

0. 04 963

0. 04 938 

0. 04 912 

0.04 887 

0. 04 861 

0. 04 836

0. 04 810 

0. 04 785 

0.04 760 

0.04 734 

0. 04 709

0. 04 683 

0. 04 658 

0. 04 632 

0. 04 607 

0. 04 582

0. 04 556

L. Tang.

' L. Cos.

9.87 778 

9.87 767 

9.87 756 

9. 87 745 

9. 87 734

9.87 723 

9. 87 712 

9.87 701 

9. 87 690 

9. 87 679

9. 87 668 

9. 87 657 

9.87 646 

9.87 635 

9. 87 624

9.87 613 

9. 87 601 

9. 87 590 

- 9. 87 579 

9.87 568

9.87 557 

9.87 546 

9. 87 535 

9.87 524 

9. 87 513

9.87 601 

9. 87 490 

9. 87 479 

9. 87 468 

9. 87 457

9.87 446 

9. 87 434 

9. 87 423 

9. 87 412 

9. 87 401

9. 87 390 

9.87 378 

9. 87 367 

9. 87 356 

9. 87 345

9.87 334 

9.87 322 

9.87 311 

9. 87 300 

9. 87 288

9. 87 277 

9.87 266 

9.87 255 

9.87 243 

9. 87 232

9. 87 221 

9. 87 209 

9.87 198 

9.87 187 

9.87 175

 9.87 164 

9.87 153 

9.87 141 

9.87 130 

9.87 119

9.87 107

L.Sin.

d.

11 

11 

11 

11 

11

11 

11 

11 

11 

11

11 

11 

11 

11 

Al

12 

11 

11 

11 

11

11 

11 

11 

11 

12

11 

11 

11 

11 

11

12 

11 

11 

11 

11

12 

11 

11 

11 

11

12 

11 

11 

12 

11

11 

11 

12 

11 

11

12 

11 

11 

12 

11

11 

12 

11 

11 

12

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

29 

28 

27 

26

25 

. 24 

23 

22 

21

20

19 

18 '17 

16

15 

14 

13 

12 

11

10

9

. 8 

7 

6

5 

4 

3 

2 

1

0

'

10 0 

. 56 

52 

48 

. 44

15 40 

36 

32

28 

24

15 20 

16 

12 

8 

4

15 0 

56 

52 

48 

44

14 40 

36 

32 

28 

24

14 "20 

16 

12

8 

4

14 0 

56 

52 

48 

44

13 40 

36 

32 

28 

24

13 20 

16 

12 

8 

4

13 0 

56 

52 

48 ' 44

12 40 

36 

32

28 

24

12 20 

16 

12 

8 

4

12 0

111. S.

48C
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS. 187

TAHLK 21. Five-place logarithms of circular functions, etc. Continued.

2" . 42°

m. s.

48 0 

4 

8 

12 

16

48 20 

24 

28 

32 '36

48 40 

44 

48 

52 

56

49 0 

4

12 

16

49 20 

24 

28 

32 

36

49 40 

44 

48 

52 

56

50 0 

4 

8 

12 

1C

50 20 

24 

28 

32 

36

50 40 

44 

 48 

52 

56

51 0 

4 

8 

12 

16

51 20 

24 

28 

32 

36

51 40 

44 

48 

52 

56

52 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

56 

56 

57 

68 

59

00

L. Sin.

9. 82 551 

9. 82 565 

9. 82 579 

9. 82 593 

9. 82 607

9. 82 621 

9. 82 635 

9.82 649 

9. 82 663 

9.82 677

9. 82 691 

9.82 705 

9. 82. 719 

9. 82 733 

9. 82 747

9. 82 761 

9.82 775 

9. 82 788 

9.82 802 

9. 82 816

9. 82 830 

9. 82 844 

9. 82 858 

9.82 872 

8. 82 885

9.82 899 

9. 82 913 

9. 82 927 

9. 82 941. 

9. 82 955

9. 82 968 

9. 82 982 

9. 82 996 

9. 83 010 

9.83 023

9.83 037 

9. 83 051 

9.83 065 

9. 83 078 

9. 83 092

9.83 106 

9.83 120 

9.83 133 

9.83 147 

9.83 161

9.83 174 

9.83 188 

9.83 202 

9.'83 215 

9. 83 229

9. 83 242 

9. 83 256 

9. 83 270 

9. 83 283 

9. 83 297

9.83 310 

9. 83 324 

9.83 338 

9. 83 351 

9.83 365

9. 83 378

L. Cos.

cl.

14 

14 

14 

14 

14

14 

14 

14 

14 

14

14 

14 

14 

14 

14

14 

13 

14 

14 

14

14 

14 

14 

13 

14

14 

.14 

14 

14 

' . 13

14 

14 

14 

13 

14

14 

14 

13 

14 

14

14 

13 

' 14 

14 

13

14 

14 

13 

14 

13

14. 

14 

13 

14 

11

14 

14 

13 

14

10

d.

L. Tang.

9. 95 444 

9. 95 469 

9. 95 495 

9. 95 520 

9. 95 545

9. 95 571 

9. 95 596 

9. 95 622 

9. 95 647 

9. 95 672

9. 95 698 

9. 95 723 

9. 95 748 

9. 95 774 

9. 95 799

9. 95 825 

9. 95 850 

9. 95 875 

9. 95 901 

9. 95 926

9. 95 952 

9. 95 977 

9. 96 002 

9. 96 028 

9. 96 053

9. 96 078 

9.96 104 

9.96 129 

9.96 155 

9. 90 180

9. 96 205 

9. 96 231 

9. 96 256 

9. 96 281 

9.96 307

9. 96 332 

9. 96 357 

9. 96 383 

9. 96 408 

9. 96 433

9. 96 459 

9. 96 484 

9.96 510 

9.96 535 

9. 96 560

9. 96 586 

9. 96 611 

9. 96 636 

9. 96 662 

9. 96 687

9.96 712 

9. 96 738 

9. 96 763 

9.96 788 

9. 96 814

9. 96 839 

9. 96 864 

9. 96 890 

9.96 915 

9. 96 940

9. 96 966

L. Cotg.

u. d.

25 

26 

25 

25 

26

25 

26 

25 

25 

26

25 

25 

26 

25 

26

25 

25 

26 

. 25 

26

25 

25 

26 

25 

25

26 

25 

26 

25 

25

26 

25 

. 25 

26 

25

25 

26 

25 

25 

26

25 

26 

25 

25 

26

25 

25 

26 

25 

25

26 

25 

25 

26 

25

25 

26 

25 

25 26"

C. d.

L. Cotg.

0. 04 556 

0. 04 531 

0. 04 505 

0. 04 480 

0. 04 455

0. 04 429 

0. 04 404 

0. 04 378 

0. 04 353 

0.04 328

0. 04 302 

0.04 277 

0. 04 252 

0.04 226 

0. 04 201

0.04 175 

0.04 150 

0. 04 125 

0.04 099 

0. 04 074.

0. 04 048 

0. 04 023 

0.03 998 

0.03 972 

0.03 947

0. 03 922 

0. 03 896 

0. 03 871 

0. 03 845 

0. 03 820

0. 03 795 

0.03 769 

0.03 744 

0. 03 719 

0. 03 693

0.03 668 

0. 03 643 

0. 03 617 

0. 03 592 

0.03 567

0. 03 541 

0.03 516 

0. 03 490 

0. 03 465 

0. 03 440

0.03 414 

0. 03 389 

0.03 364 

0.03 338 

0. 03 313

0. 03 288 

0. 03 262 

0. 03 237 

0.03 212 

0.03 186

0.03 161 

0. 03 136 

0. 03 110 

0. 03 085 

0. 03 060

0. 03 034

L, Tang.

. L. Cos.

9.87 107 

9.87 096 

9. 87 085 

9.87 073 

9.87 062

9.87 050 

9. 87 039 

9.87 028 

9.87 016 

9. 87 005

9. 86 993 

9. 86 982 

9. 86 970 

9. 86 959 

9. 86 947

9. 86 936 

9. 86 924 

9.86 913 

9. 86 902 

9. 86 890

9. 86 879 

9.86 867 

9. 86 855 

9.86 844 

9. 86 832

9. 86 821 

9.86 809 

9. 86 798 

9. 86 786 

9.86 775'

9. 86 763 

9.86 752 

9.86 740 

9. 86 728 

9.86 717

9. 86 705 

9.86 694 

9'. 86 682 

9. 86 670 

9. 86 659

9.86 647 

9. 86 635 

9.86 624 

9.86 612 

9. 86 600

9. 86 589 

9.86 577 

9. 86 565 

9.86 554 

9. 86 542

9. 86 530 

9.86 518 

9. 86 507 

9. 86 495 

9. 86 483"

9. 86 472 

9.86 460 

9.80 448 

9.86 436 

9. 86 425

9.86 413

L. Sin.

cl.

11 

11 

12 

11

T>

11 

11 

12 

11

11 

12 

11 

12 

11

12 

11 

11 

12 

11

12 

12 

11 

12 

11

12 

11 

12 

11 

V?

11 

12 

12 

11

1?

11 

12 

12 

11 

10

12 

11 

12 

12 

11

12 

12 

11 

12 

12

12 

11 

12 

12 

11

12 

12 

12 

11

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37. 

36

35 

34 

33 

32 

31

:to

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

12 0 

50 

52 

48 

44

11 40 

36 

32 

28 

24

11 20 

16 

12 

8 

4

11 0 

50 

52 

48 

44

10 40 

30 

32 

28 

24

10 20 

16 

12 

8 

4

10 0 

50 

52 

48 

44

9 40 

b6 

32 

28 

24

9 20 

16 

12 

8 

4

9 0 

56 

52 

48 

44

8 40 

36 

32 

28 

24

8 20 

16 

12 

8 

4

8 0

m. s.

47° 3h
188 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 21. Five-place logarithms of circular functions, etc. Continued. 

2h 43°

m. s.

52 0 

4 

8 

12 

16

52 20 

24 

28 

32 

' 36

52 40 

44 

48 

52 

56

53 ' 0 

4 

8 

12 

16

53 20 

24 

28 

32 

36

53 40 

44 

48 

52 

56

54 0 

4 

8 

12 

16

54 20 

24 

28 

32 

36

54 40 

44 

48 

52 

56

55 0 

4 

8 

12 

16

55 20 

24 

28 

32 

36

65 40 

44 

48 

52 

56

56 0

'

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

.34

35 

36 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

60

L. Sin.

9.83 378 

9. 83 392 

9.83 405 

9. 83 419 

9. 83 432

9.83 446 

9. 83 459 

9.83 473 

9. 83 486 

9.83 500

9.83 513 

9.83 527 

9.83 540 

9.83 554 

9.83 567

9.83 581 

9. 83 594 

9. 83 608 

9. 83 621 

9.83-634

9.83 648 

9. 83 661 

9. 83 674 

9.83 688 

9.83 701

9. 83 715 

9. 83 728 

9.83 741 

9.83 755 

9. 83 768

9.83 781 

9.83 795 

9. 83 808 

9.83 821 

9.83 834

9.83 848 

9. 83 861 

9.83 874 

9. 83 887 

9. 83 901

9.83 914 

9. 83 927 

9.83 940 

9. 83 954 

9. 83 967

9. 83 980 

9. 83 993 

9.84 006 

9. 84 020 

9. 84 033

9. 84 046 

9. 84 059 

9. 84 072 

9. 84 085 

9. 84 098

9. 84 112 

9.84 125 

9. 84 138 

9.84 151 

9.84 164

9. 84 177

L. Cos.

d.

14 

13 

14 

13

13 

14 

. 13 

14 

IQ

14 

13 

14 

13 

14

13 

14 

13 

13 

14

13 

13 

14 

13 

14

13 

13 

14 

13 

13

14 

13 

13 

13 

14

13 

. 13 

13 

14 

13

13 

13 

14 

13 

13

13 

13 

14 

13 

13

13 

13 

13 

13 

14

13 

13 

13 

13 

13

d.

L. Tang.

9. 96 966 

9. 96 991 

9.97 016 

9. 97 042 

9.97 067

9.97 092 

9.97 118 

9. 97 143 

9.97 168 

9.97 193

9. 97 219 

9. 97 244 

9.97 269 

9.97 295 

9.97 320

9.97 345 

9. 97 371 

9.97 396 

9. 97 421 

9. 97 447

9. 97 472 

9. 97 497 

9. 97 523 

9.97 548 

9. 97 573

9. 97 598 

9. 97 624 

9. 97 649 

9.97 674 

9. 97 700

9.97 725 

9. 97 750 

9.97 776 

9. 97 801 

9.97 826

9. 97 851 

9. 97 877 

9. 97 902 

9. 97 927 

9.97 953

9. 97 978 

9.98003 

9. 98 029 

9. 98 054 

9. 98 079

9. 98 104 

9. 98 130 

9. 98 155 

9. 98 180 

9. 98 206

9. 98 231 

9. 98 256 

9. 98 281 

9. 98 307 

9. 98 332

9. 98 357 

9. 98 383 

9, 98 408 

9. 98 433 

9. 98 458

9. 98 484

L. Cotg.

c. d.

25 

25 

26. 

25 

25

26 

25 

25 

25 

26

25 

. 25 

26 

25 

25

26 

25 

.25 

26 

25

25 

26 

25 

25 

25

26 

25 

25 

26 

25

25 

26 

25 

25 

25

26 

25 

25 

26 

25

25 

26 

25 

25 

25

26 

25 

25 

26 

25

25 

25 

26 

25 

25

26 

25 

25 

25 

26

C. d.

L. Cotg.

0. 03 034 

0. 03 009 

0.02 984 

0. 02 958 

0.02 933

0.02 908 

0. 02 882 

0. 02 857 

0.02 832 

0. 02 807

0. 02 781 

0.02 756 

0. 02 731 

0. 02 705 

0.02 680

0.02 655 

0.02 629 

0.02 604 

0. 02 579 

0. 02 553

0. 02 528 

0.02 503 

0.02 477 

0.02 452 

0. 02 427

0. 02 402 

0. 02 376 

0. 02 351 

0. 02 326 

0. 02 300

0. 02 275 

0.02 250 

0. 02 224 

0.02 199 

0. 02 174

0.02 149 

0. 02 123 

0.02 098 

0.02 073 

0. 02 047

0. 02 022 

0. 01 997 

0. 01 971 

0. 01 946 

0.01 921

0. 01 896 

0. 01 870 

0. 01 845 

0. 01 820 

0. 01 794

0. 01 769 

0.01 744 

0.01 719 

0.01 693 

0.01 668

0.01 643 

0.01 617 

0. 01 592 

0. 01 567 

0. 01 542

0. 01 516

L. Tang.

L. Cos. 

9. 86 413 

9. 86 401 

9. 86 389 

9.86 377 

9. 86 366

9. 86 354 

9. 86 342 

9.86 330 

9. 86 318 

9.86 306

9. 86 295 

9.86 283 

9.86 271 

9. 86 259 

9. 86 247

9. 86 235 

9.86 223 

9. 86 211 

9.86 200 

9.86 188

9. 86 176 

9. 86 164 

9. 86 152 

9.86 140 

9. 86 128

9. 86 116 

9.86 104 

9. 86 092 

9. 86 080 

9. 86 068

9. 86 056 

9.86 044 

9. 86 032 

9. 86 020 

9. 86 008

9. 85 996 

9. 85 984 

9. 85 972 

9. 85 960 

9. 85 948

9. 85 936 

9.85924 

9. 85 912 

9. 85 900 

9. 85 888

9. 85 876 

9. 85 864 

9. 85 851 

9. 85 839 

9. 85 827

9.85 815 

9. 85 803 

9. 85 791 

9. 85 779 

9.85 766

9. 85 754 

9. 85 742 

9. 85 730 

9.85 718 

9. 85 706

9. 85 693

L. Sin.

d.

12 

12 

12 

11 

T>

12 

12 

12 

12 

11

12 

12 

12 

12 

1?

12 

12 

11 

12 

12

12 

12 

12 

12 

1?

12 

12 

12 

12

1?

12 

12 

12 

12 

1?

12 

12 

12 

12

n

12 

12 

12 

12 

1?

12 

13 

12 

12 

1?

12 

12 

12 

13 

1?

12 

12 

12 

12 

13

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

30

39 

38 

37 

36

35 

34 

33 

32 

31

20

19 

18 

17 

16

15 

14 

13 

12 

11

°10

9

8 

7 

6

5 

4 

3 

2 

1

0

i

8- 0 

56 

52 

48 

44

7 40 

36 

32 

28 

24

7 20 

16 

12 

8 

4

7 0 

56 

62 

48 

44

6 40 

36 

32

28 

24

6 20 

16 

12 

8 

4

6 0 

56

.52 

48 

44

5 40 

36 

32 

28 

24

5 20 

16 

12 

8 

4

5 0 

56 

52 

48 

44

4 40 

36 

32 

28 

24

4 20 

16 

12 

8 

4

4 0

m. s.

46C
OANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 189 

TABLE 21. Pwe-place logarithms of circular functions, etc. Continued. 

2h 44°

m. s.

56 0 

4 

8 

12 

16

56 20 

 24 

28 

32 

36

56 40

44 

48 

52 

56

57 0 

4 

8 

.12 

16

57. 20 

24 

28 

32 

36

57 40 

44 

48 

52 

56

58 0 

4 

8 

12 

16

58 20 

24 

28 

32 

36

58 40 

44 

48 

52 

56

59 0 

4 

8 

12 

16

59 20 

24 

28 

32 

36

69 40

44 

48 

52 

56

60 0

'

0

1 

2 

3

4

5 

6 

7 

8 

9

10

11 

12 

13 

14

15 

.16 

17 

18 

19

20

21 

22 

23 

24

25 

26 

27 

28 

29

30

31 

32 

33 

34

35 

36 

37 

38 

.39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56

57 

58 

59

(iO

L.Sin.

9.84 177 

9. 84 190 

9. 84 203 

9. 84 216 

9. 84 229

9. 84 242 

9.84255 

9.84 269 

9. 84 282 

9. 84 295

9. 84 308 

9. 84 321 

9. 84 334 

9. 84 347 

9. 84 360

9.84 373 

9. 84 385 

9. 84 398 

9. 84 411 

9.84 424

9. 84 437 

9.84 450 

9. 84 463 

9. 84 476 

9. 84 499

9.84 502 

9. 84 515 

9. 84 528 

9. 84 540 

9.84553

9. 84 566 

9. 84 579 

9. 84 592 

9. 84 605 

9. 84 618

9. 84 630 

9.84 643 

9. 84 656 

9. 84 669 

9. 84 682

9. 84 694 

9.84 707 

9. 84 720 

9. 84 733 

9.84 745

9. 84 758 

9.84 771 

9.84 784 

9. 84 796 

9. 84 809

9. 84 822 

9. 84 835 

9. 84 847 

9.84 860 

9. 84 873

9. 84 885 

9. 84 898 

9.84 911. 

9. 84 923 

9. 84 936

9. 84 949

L. Cos.

d.

13 

13 

13 

13 

13

13 

14 

13 

13 

13

13 

13 

13 

13 

13

12 

13 

13 

13 

13

13 

13 

13 

13 

.13

13 

13 

12 

13 

13

13 

13 

13 

13 

12

13 

13 

13 

13

12

13 

13 

13 

12 

13

13 

13 

12 

13 

13

33. 

12 

13 

13 

12

13 

13 

12 

13 

13

d.

L. Tang.

9. 98 484 

9.98 509 

9. 98 534 

9. 98 560 

9.98 585

9.98 610 

9. 98 635 

9. 98 661 

9. 98 686 

9. 98 71.1

9. 98 737 

9. 98 762 

9. 98 787 

9. 98 812 

9. 98 838

9. 98 863 

9. 98 888 

9. 98 913 

9. 98 939 

9. 98 964

9.98 989 

9.99 015 

9. 99 040 

9.99 065 

9. 99 090

9. 99 116 

9. 99 141 

9. 99 166 

9. 99 1.91 

9.99 217

9. 99 242 

.9.99 267 

 9. 99 293 

9. 99 318 

9. 99 343

9. 99 368 

9. 99 394 

9. 99 419 

9. 99 444 

9. 99 469

9. 99 495 

9. 99 520 

9. 99 545 

9. 99 570 

9. 99 596

9. 99 621 

9.99 646 

9. 99 672 

9. 99 697 

9. 99 722

9.99 747 

9. 99 773 

9. 99 798 

9. 99 823 

9. 99 848

9. 99 874 

.9.99 899 

9. 99 924 

9. 99 949 

9. 99 975

0.00 000

L. Cotg.

c. cl.

25 

25 

26 

25 

25

25 

26 

25 

25 

26

25 

25 

25 

26 

25

25 

25 

26 

25 

25

26 

25 

25 

25 

26

25 

25 

25 

26 

25

25 

.26 

25 

25 

25

26 

25 

25 

25 

26

. 25 

25 

25 

26 

25

25 

26 

25 

25 

25

26 

25 

25 

25 

26

25 

25 

25 

20 

25

c. d.

L. Cotg.

0. 01 516 

0. 01 491 

 0.01 466 

0.01 440 

0.01 415

0.01 390 

0.01 365 

0.01 339 

0. 01 314 

0.01 289

0.01 263 

0.01 238 

0. 01 213 

0.01. 188 

0.01 162

0. 01 137 

0. 01 11.2 

0. 01 087 

0. 01 061 

0.01 036

0. 01 Oil 

0. 00 985 

0. 00 960 

0. 00 935 

0. 00 910

0. 00 884 

0. 00 859 

0. 00 834 

0. 00 809 

0. 00 783

0. 00 758 

0. 00 733 

0. 00 707 

0. 00 682 

0. 00 657

0. 00 632 

0. 00 606 

0. 00 581 

0. 00 556 

0. 00 531

0. 00 505 

0. 00 480 

0. 00 455 

0. 00 430 

 0. 00 404

0.00 379 

0.00 354 

0. 00 328 

0. 00 303 

0. 00 278

0. 00 253 

0. 00 227 

0. 00 202 

0. 00 177 

0. 00 152

0.00 126 

0. 00 101 

0. 00 070 

0. 00 051 

0. 00 025

0.00 000

L. Tang.

L. Cos.

9. 85 693 

9. 85 681 

9. 85 669 

9. 85 657 

9. 85 645

9.85 632 

9. 85 620 

9. 85 608 

9. 85 590 

9.85 583

9. 85 571 

9. 85 559 

9.85 547 

 9.85 534 

9. 85 522

9.85 510 

9. 85 497 

9.85 485 

9. 85 473 

9.85 460

9. 85 448 

9. 85 436 

9. 85 423 

9. 85 411. 

9.85 399

9.85 380 

9.85 374 

9. 85 301 

9. 85 349 

9. 85 337

9.85 324 

9.85 312 

9. 85 299 

9. 85 287 

9. 85 274

9. 85 202 

9.85 250 

9. 85 237 

9. 85 225 

9. 85 212

9. 85 200 

9.85 187 

9.85 175 

9.85 162 

9. 85 150

9.85 137. 

9.85 125 

9.85 112 

9.85 100 

9.85 087

9. 85 074 

9. 85 062 

9. 85 049 

9. 85 037 

9. 85 024

9. 85 012 

9. 84 999 

9.84 980 

9.84 974 

9. 84 961

9.84 949

L. Sill.

d.

12 

12 

'12 12 

13

12 

12 

1.2 

13 

12

1.2 

12 

13 

12 

12

13 

12 

12 

13 

12

12 

13 

12 

12 

13

12 

13 

12 

12 

13

12 

13 

12 

13 

12

12 

13 

12 

13 

12

13 

12 

13 

12 

13

12 

13 

12 

13 

13

12 

13 

12 

13 

12

13 

13 

12 

13 

12

d.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

46

45 

44 

43 

42 

41

40

39 

38 

37 

30

35 

34 

33 

32 

31

80

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

.14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

4 0 

56 

52 

48 

44

3 40 

36 

32 

28 

24

3 20 

16 

12 

8 

4

3 0 

56 

52 

48 

44

2 40 

36 

32 

28 

24

. 2 20 

16 

12 

8 

4

2 0 

50 

52 

48 

44

1 40 

30

32 

28 

24

1 20 

10 

12 

8 

4

1 0

50 

52 

48 

44

0 40 

30 

32 

28 

24

0 20 

. 16 

12 

8 

4

0 0

m. s.

45C
190 GEOGKAPHIO TABLES AND FOKMULAS. [BULL. 234.

. TABLE 22. GEODETIC POSITION COMMUTATIONS.

TABLE OF LOGARITHMS OF FACTORS A, B, C, D, E, F, BASED UPON THE CLARKE SPHEROID OF 1866 AND THE METRIC SYSTEM, BETWEEN LATITUDES 0° AND 72°.

[Extracted from reports of the U. S. Coast and Geodetic Survey.] 

CONSTANTS.

 (1 P? sin2 tpY

a arc Vf

0 =

 p __

« (! «*) arcl" 

(1 (? sin2 <p) 2 tan g> 

2a2 (\ e*) arc!" 

f e2 sin cp cos g> arc V

1 e2 sin2 <p

(1 + 3 tan2 tp) (l-e* sin2 <p) 

6a2

= Jj sin <p cos2 ^o arc2 V

log a = 6.804 698 57 

log?/= 6.803 223 78 

log e2 = 7.830 502 57

-W/7 = 8.509 726 56

log (f e2 arc lx/) =2.692 168 7

log ^2 = 5.612 45 

log (TV arc2 rO^S^Ol 96

Ratio adopted in this table is the Clarke value of the meter, namely, 1 meter = 

39.370432 inches.

The formulas for the computation of the geodetic differences in latitude Acp, in 

longitude JA, arid in azimuth A a. are as follows:

 A<p=s cos a . B-jrsi sin2 a . C+(<5<p) 2 D h . s2 sin2 ct. E 

Ah=s sin a sec cp' . A

 Aa=A\ sin \ (cp-\-cp/ ) sec 

where

i / Sfp=s cos a . B-\-s* sin2 -a . C h . s2 sin2 a . E

< also h=s cos a . B 

For subordinate triangulatioii when the sides do not exceed say 25 kilometers, or 

about 15 statute miles, the term involving E in Acp and the factor sec 

well as the term involving Fin Aa, may be omitted.
GANNETT.] GEOGKAPHIC TABLES AND FOKMULAS.

TABLE 22. Geodetic position computations Continued. 

' LATITUDE 0°.

191

Lat.

o /

00 001 '

2

3

4

05

C

7

8

9

10

11

12

13

14

15

Hi

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

 44

45

46

47

48

49

50

51

62

5364 

55

56

57

58

59

60

log A

8. 509 7266

66

66

66

66

66

66

66

66

66

8.509 7266

65

.65

65

65

65

65

65

65

65

8.509 7265

65

65 ' 65

65

6565 

65

55

65

8.609 7265

64

64.

64

64

64

64

64

64

64

8.509 7264

64

64

64

63

63

63 

63

63

63

8. 509 7263

63 62.

62

62

62

62

62

61

61

8. 509 7261

logB

8.512 6761

61 ' 61

61

61

61

61

61

61

61

8.512 6761

61

61

61

61

61

61

60

60

60

8.512 6760

60

60

60

59

 59

59

59

59

58

8. 512 6758

58

58

57

57 

57 ' 57

56

56

56

S.512 6756

55

55

55

54

54

64

53

53

53

8. 512 6752

52

51

51

51

50

50

49

49

49

8. 512 6748

logC

= -oo

2-8707

8. 1717

3477

4727

5696

6488

7158

7740

8249

8. 8707

9121

9499

8.9846

9.0168

0468

0748

1011

1259

1494

9. 1717'

1929

2131

2324

2509

2686

2857

3020

3178

3331

9. 3478

3620

3758

9. 3892

9. 4022

4148

4270

4389

4505

4618

9.4728

4835

9. 4939

9. 5042

5141

5239

5335

5428

5519

5609

9. 5697

5783

5866

9. 5950

9. 6031

Gill

6189

6266

6341

6416

9. 6489

log!)

=-«>

9. 156

457

633

758

= 855

9.934

0.001

059

110

0. 156

197

235

270

 302

332

360

386

411 435

0.457

478

498

518

536

554

571

587

603

618

0.633

647

661

674

687

700

712

724

736

747

0.758

769

779

789

799

809 819 

828

837

846

0.855

863

872

880

888

896

904

912

919

927

0.934

log E log F

5. 6125 -co

5

5

5

5

5

5

5

5

5

5.63255 '

5

5

5

5

5

5

5

5

b. 6125 6. 057

5

6

5

5

5

5 

6 '

5

5

5. 6126

6

6

6

6

6 .

6

6

6

6

5. 0126 6. 358

6

6

6

 7

7

7

7

7

7

5. 6127

7

7

7

8

8 .

8

8

8

8

5. 6128 6. 534
192 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 1°.

[BULL. 231

Lat.

I o /

. 1 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

.26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

.49

50

: 51

52

53

54

55

56

57

58

59

60

log A

8.509 7261

61

61

61

61

60

60

60

60 .

60

. 8.509 7260

59

59

59

59

59

58

68

58

58

8. 509 7258

67

57

57 -

57

57

56

56

56

56

8.509 7256

55

55

55

55

54

54

54

54

53

8.509 7253

53

53

52

52

52

52

51

51

51

8.509 7251

50

50

50

49

49

49

49

48

48

8. 509 7248

logB

8.512 6748

48

47

47

46

46

45

45

44

44

8. 512 6743 .

43

42

42

41

41

40

39

39

38

8. 512 6738

37

36

36

35

35

34

33

33

32

8.512 6731

31

30 -

29

29

28

27

26

26

25

8.512 6724

23

23

22

21

20

20

19

18

17

8.512 6716

16

15

14

13

12

11

10

10

09

8. 512 6708

logC

9. 6489

560

631

701

769

836

903

9. 6968

9. 7032

096

9. 7158

220

281

341

400

458

516

672

628

684

9. 7738

792

846

898

9. 7950

9. 8002

053

103

152

202

9. 8250

298

346

393

439

485

531

576

620

664

9. 8708

751

794

836

878

920

961

9. 9002

042

082

9. 9122

161

200 239'

277

315

353

390

427

464

9/9500

logD

0.934

941

948

955

962

969

975

982

988

0.995

1.001

007

013

019

025

031

037

042

048

053

1.059

064

070

075

080

085

090

095

100

105

1.110

115

119

124

129

133

138

142

147

151

1.156

160

164

168

173

177

181

185

189

193

1.197

201

205 '

209

212

216

220

 224

227

231

1.2347

logE

5. 6128

29

29

29

29

29

. 29

29

30

30

5. 6130

30

30

30

31

31

31

31

31

31

5. 6132

32

32

32

32

32

33

33

33

33

5. 6133

34

 34

34

34

34

35

35

35

35

5. 6136

36

36

36

36

37

37

37

37

38

5. 6138

38

38

39

39 ;

i 

39 i

39 i

40 j

40 i

40 |

5.6140 i

logF

6.534

6.658

6.755

1

6.834
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS.

TABLE 22.- Geodetic position computations Continued. 

LATITUDE 2°.

193

Lat.

0 /

2 00

1

2

3

4

05

G

7

8

9

10

11

12

]3

1-1

15

10

17

18

19

20

21

 22

23 

24

25

2C

27 .

28

29

30

31

32

33

34

35

36

37

38

39

; 40

41

42

. 43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A

S.509 7248

47

4747-

47

46

46

46

45

45

. 8.509 7245

44

44

44

43

43

43

42

42

42

8. 509 7241

41

41

40

40

40

39

39

38

38

8.509 7238

37

37

37

36

36

35

35

35

34

8. 509 7234

33

33

33

32

32

31

31

31

30

8. 509 7230

29

29

28

28

28

27

27

26

26

8.509 7225

logB

8.512 6708

07

06

05

04

03

0201 '

6700

6699

8.512 6698

97

97

96

95

94

93

91

90

89

8.512 6688

87

86

85

84

83

82

81

80

79

8. 512 6678

76

75

74

73

72

71

70

68

67

8. 512 6666

65

64

62

61

60

59

58

56

55

8. 512 6654

5251 '

50

49

47

46

45

43

42

8.512 6641

logC

9. 95002

5363

5721

 6076

6428

6777

7123

7467

7808

8146

9. 98482

8815

9145

9473

9. 99799

0. 00122

0443

0762

1078

1392

0. 01703

2013

2320

2625

2928

3229

3528

3825

4119

4412 ,

0. 04703

4992

5279

5564

5847

6129

6408

6686

6962

7237

0. 07509

7780

8050

8317

8583

8848

9111

9372

9631

0. 09890

0. 10146

0401

0655

0907

1158

1407

1655

1902

2147

2390

0. 12633

log J)

L 2347

383

419

454

489

524

559

593

627

661

1. 2694

727

760

793

826

858

890

 922

953

1.2984

1. 3015

046

077

107

138

168

-" 197

227

256

285

1. 3314

343

£72

400

428

456

484

612

539

567

1. 3594

621

648

674

701

727

753

779

805

831

1. 3856

882

907

932

957

1. 3982

1.4007

' 031

055

080

1. 4104

log E

5.6140

41

41

41

41

42

42

.42

43

43

5. 6143

43

44

44

44

45

46

45

45

46

5.6146

46

47

47

47

48 .

48

48

49

49

5. 6149

50

50

50

51

51

51

52

52

52

5. 6153

53

53

64

54

54

55

55

56

56

5. 6156

57

57

57

58

58

59

59

59

60

5. 6160

log F

6. 834

»

6.901

6. 959

7.010

Bull. 234 04 13
194 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 22. Geodetic position computations Continued.

LATITUDE 3°.

[BULL. 234.

Lat.

° / 

3 00

1

2

3

 4

05

 6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30 ' 31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

. ' 54

55

66

57

58

59

60

lop: A

8.509 7225

25

24

24

24

23

23

22

22

21

8.509 722120'

20

19

19

18

1817-

17

16

8.509 7216

15

15

14

14

13

13

12

12

11

8.509 7211

10

10

09

09

08

08

07

07

06

8.509 7206

05

04

04

03

03

02

02

01

01

8.509 7200

7199

99

98

98

. 97

96

96

95

95

8.509 7194

logB 

diff. 1"=-0.03

8. 512 C641

39

38

37

35

34

33

31

30

28 .

8.512 6627

26

24

23

21

20

18

17

15

14

8.512 6612

11

09

08

06

05

03

02

6600

6599

'8.512 6597

96

94

92

91

89

88

86

84

83

8.512 6581

80

78

76

75

73

71

69

68

66

8. 512 6564

63

61

- 59

58

56

54

52

50

49

8. 512 6547

logC

0. 12633

2874

. ' 3113

3352

3589

- 3825

4059

4293

4525

4756

0. 14985

5214

5441

5667

5892

6116

6338

6660

6780

6999

0. 17217

7434

7650

 7665

. 8079

8292

8504

8715

8925

9133

0. 19341

9548

9754

19959

20163

0366

0568

0769

0969

1168

0.21367

1564

1761.

1956

2151

2345

2538

. 2731

2922

3113

0. 23302

3491

3680.

3867

4053

4239

4424

4608

4792

4974

0.25156

logD

1. 4104

2852 '

75-

1.4199

1. 4222

46

69

1. 4292

1. 4315

1. 4338

60

1.4383

1. 4405

28

50 '

72

1. 4494

1.451638 '

1. 4560

1. 4581

1. 4603

24

45

66

1.4687

1. 4708

29

50

1. 4770

1. 4791

1.4811 32

52

72

1. 4892

1. 4912

32

52

1. 4971.

1.4991

1.5011

30

49

68

1. 5088

1. 5107 '

26

45

1. 5163

1. 5182

1. 5201

19

38

56

75

1.5293.

1. 5311

29

1.5347

log-E

5. 6160

61

61

61

62

62

62

63

63

64

5. 6164

65

65

65

66

66

67

67

68

68

5. 6168

69

69

70

70

71

71

72

72

72

5. 6173

73

74

74

75

75

76

76

77

77

 5. 6178

78

79

79

80

80

81

81

81

82

5. 6182

83

84

84

85

85

86

86

87

87

5. 6188

logF

7.010

7.055

7.096

"

7.133
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS!

TABUS 22. Geodetic position computations Continued. 

LATITUDE 4°.

195

Lat.

0 /

4 00

1

2

3

4

05

6 .

7

8

y

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

 30

31

32

33

34

35

36 

37

38

39

40

41

42

43 *

44

45

. 46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A

8. 509 7194

93

93

92

92

91

91 .

90

89

89

8. 509 7188

87

87

86

86

85

84

84

83

82

8. 509 7182

81

80

80

79

78

78

77

76

76

8. 509 7175

74

74

73

72

72

71

70

70

69

8. 609 7168

67

67

66

66

65

64

63

63

62

8.509 7J61.

60

60

59

58

57

57

56

55

55

8. 509 7154

logB 

cliff. 1"= -0.04

8. 512 6547

45

43

42

40

38

36

34

32

31

8. 512 6529

27

25

23

21

19

17 ,

16

14

12

8.512 6510

08

06

04

02

6500

6498

96

-94

92

8.512 6490

88

86

84

82

80

78

76

74

. 72

8.512 6470.

68

65

63

61

59

57

55

53

51

8. 512 6448

46

44

42

40

38

35

33

31

29

8.512 6427

logC

0. 25156

6337

5518

5697

5876

6055

6232

6409

6585

6760

0. 26935

7109

7282

7455

7627

7798

7968

8138

8308

8476

0. 28644

8812

8978

9144

9310

9475

9639

9802

0.29965

0. 30128

0. 30290

0451

0611

0771

0931

1090

1248

1406

1563

1719

0. 31875

2031

2186

2340

2494

2647

2800

2953

3101

3255

0. 33-106

3556

3706

3855

4004

4152

4300

4447

4594

4740

0.34885

logD

1. 5347

65

1.5383

1.5401

18

36

54

71

1.5489

1.5506

1. 5523

40

68

76

1. 5592

1.5609

25

42

59

76

1.5692

1. 6709 

25

42

58

74

1.5791

1.5807

23

39

1.5855

71

1.5887

* 1. 5902

18

34

50

65

81

1.5996

1.6011

27

42

67

.73

1.6088

1.6103

18

33

48

1. 6163

77

] . 6192

1. 6207

21

36

51

65 80

1. 6294

1.6308

log E

5.6188

88

89

89

90

90

91

91

92

92

5. 6193

93

94

95

95

96

96

97

97

..98

5. 6199

5. 6199

5. 6200

00

01

01

02

03

03

04

5. 6204

05

05

06

07

07

08

N 08

09

10

5.6210

11

12

12

13

13-

14

15

15

16

5.6216

17

18

18

19

20

20

21

22

22

5. 6223

logF

7.133

7.168

7.200

7. 229
196 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 22. Geodetic position computations Continued.

LATITUDE 5°.

[BULL. 234.

Lat.

o / 

5 00

1

2

3

4

05

6

. 7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

66

57

58

59

60 '

log A

8. 509 7154

53

53

52

51

50

49

49 48

 47

8. 509 7146

46

45

44

43

43

42

41

40

39

8.509 7139 38

37

36

35

35

34

33

32

31

8.509 7131

30

29

28

27

27

26

25

24

23

8.509 7122

21

21

20

19

18

17

16

16

15

8.509 7114

13

12

11

10

09

09

08

07

06

8.509 7105

logB 

diff. 1"=-0.04

8.512 6427

24

22

20

18

15

13

11

08

06

8. 512 6404

6402

6399

97

95

92

90

88

85

83

8. 612 6381

78

76

73

71

69

66

64

61

59

S.512 6356

54

52 " 49 

47

44

42

39

37

34

8. 512 6332

29

27

24

21

19

16

14

11

09

8. 512 6300

03

6301

6298

96

93

90

88

85

82

8.512 6280

logC

0. 34885

5030

5175

5320

5464

5607

5750

5892

6034

6176

.0.36317

6457

6597

6737

6876

7015

7154

7292

7429

7566

0. 37703

7839

7975

 8111

8246

8380

8514

8648

8781 

8914

0. 39047

9179

9311

9442

9573

9704

9834

0. 39964

0.40094

0223

0. 40351

0480

0608

0735

0863

0990

1116

1242

1368

1493

0.41619

1743

1868

1992

2115

2239

2362

2484

2607

2729

0. 42850

logD 

diff. 1"= +0.22

1. 6308

23

37 .

51

, 65

79

1. 6393

1. 6407

21

35

1.6449

63

77

1. 6491

1. 6504

18

32

45

59

72

1.6586

1.6599

1. 6612

26

39

52

65

78

1. 6692

1.6705

1. 6718

31

44

56

69

82

1.6795

1. 6808

20 33

1.6846'

58

71

83

1. 6896

1. 6908

21 -

33

45

58

1. 6970

82

. 1.6994

1.7006 .

19

31

43

55

67

79

1. 7090

log E.

5. 6223

24

24

25

26

2fi

27

28

. 28

29

5. 6230

30

31

32

32

33

34

34

35

36

5.6236

37

38

38

39

40

41

41

42

43

5. 6243

44

45

46

46

47

48

48

49

50

5.6251

51

5253'

54

54

55

56

57

57

5. 6258

59

60

60

61

62

63

63

64

65

5. 6266

log P

1229

7.256

7. 282

7.306
GANNETT.] GEOGKAPHIC TABLES AND FOBMULAS. 197

TABLE 22. Geodetic position computations Continued. 

LATITUDE C°.

Lilt.

o / 

C 00

1

2

3

4

05

G

7

8

9

10

1112-

13

14

15

1C

17

18

19

20

21

22

23

24

25

20

27

28

29

30

3132'

33

34

35

3(1

37

38.

39

40

41

42

43

44

45

40

47

48

49

50

51

52

53

 54

55

60

57

58

59

GO

log A 

diff.l"=-0.02

8. 509 7105

04

03

02

01

01

7100

7099

98

97

8. 509 7090

95

94

93

92

91

91

90

89

88

8. 509 7087

8G

85

84

83

82

81

80

79

78

8. 509 7077

70

75

74

73

72

71

70

70

09

8. 509 7008

07

GO

05

64

03

02

01

00

59

8. 509 7058

57

56

55

53

52

51

50

49

48

 8.509 7047

logB 

cliff. 1"=-0. 05

8. 512 0280

77

74

72

69

GO

64

61

58

55

8.512 6253

50

47

44

42

39

36

33

31

28

8. 512 6225

22

19

16

14

11

08

05

6202

0199

8.512 0190

94

. 91

88

85

82

79

70

73

70

8.512 0167

04 .

 01

58

55

52

49

4G

43

40

8. 512 0137

34

31

28

25

22

19

16

13

10

8. 512 6107

logC

0. 42850

2972

3093

3213

3334

3454

3573

3693

3812

3931

0. 44049

4167

4285

4402

4519

4636

4753

4869

4985

5101

0. 45216

5331

5446

5560

5674

5788

5902

0015

0128

6241

0. 40353

0465

6577

6689

0800

0911

7022

7132.

7242

7352

0. 47462

7571

7681

7789

7898

8006

8114

8222

8330

8437

0.48544

8651

8757

8864

8970

9075

9181

9286

9391

9496

0. 49600

logD 

cliff. 1"=+0. 18

1. 7090

7102

14 20

38

50

01

73

85

1. 7190

1. 7208

19 -

31

42

54

65

76

88

1. 7299

1.7310

1. 7322

33

44

55

66

78

1.7389

1. 7400

11

22

1. 7433

44

54

65

76

87

1. 7498

1. 7508

19

30

1. 7541

51

62

73

83

1. 7594

1JG04

15

25

36

1. 7640

50

67

77

87

1. 7698

1. 7708

18

28

38

1. 7749

logE

E. 6266

67

67

68

69

" 70

70

71

72

73

5. 6274

74

75

76

77

78

78

79

8081'

5. 6282

83 

83

84

85

86

87

88

88

89

5. 6290

91

92

93

93

94

95

96

97

98

5. 6299

5. 6299

5. 6300

01

02

03

04

05

06

00

5. 0207

08

09

10

11

12

13

13

14

15

5. 6210

logF

7.300

.7. 329

7.351

,

>

7.371
198 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE?0.

[BULL. 234.

Lat.

o / 

7 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

2021 '

22

23

24

25

26

27

28

29

30

31

32

38

34

, 35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

difl.l"=-0.02

8. 509 7047

46

45

44

43'

 42

41

40

39

38 .

8.509 7037

36

35

34

33

32

30

29

28

27

8. 509 7026

25

24

23

22

21

20

19

17

16

8.509 7015

14

13

12

11

10

09

07

06

05

8. 509 7004

03

02

01

7000

699897 '

96

95

94

8.509 6993

91

90

89

88

87

86

84

83

82

8.509 6981

logB 

diff.l"=-0.06

8.512 6107

03 

6100

6097

94

91

88

85

82

78

8.512 6075

72 '69

66

62

59

56

53

50

46

8.532 6043

40

37

33

30

27

23

20

17

14

8. 512 6010 ' 07

04

6000

5997

94

90

87

83

80

8. 512 5977

73

70

66

63

60

56

53

49

46

8. 512 5942

39

35

32

28

25

21

18

14

11

8. 512 5907

logC

0. 49600

705

809

0. 49913

0. 50016

119

222

325

428

530

0.50632

734

836

0. 50937

0. 51039

140

240

341

441

541

0. 51641

741

 840

0. 51939

0. 52038

137

236

334

432

530

0. 52628

725

822

0. 52919

0. 53016

113

209

300

402

497

0. 53593

688

784

879

0. 53973

0.54068

162

257

351

444

0. 54538

631

725

818

0. 54911

0. 55003

096

' 188

280

372

0. 55464

logD 

difl.l"=+0.16

1. 774959 '

69

79

89

1. 7799

1.7809

19

29

39

1. 7849

59

68

78 

88

1. 7898

1. 7908

17

27

37

. 1.7946

56

66

75

85

1. 7994

1.8004

13

23

32

1.8042

51

61

70

79

89

1. 8098

1.8107

17

 26

1.8135

44

53

63

72

81

90

1.8199

1. 8208

17

1. 8226

35

44

53

62

71

80

89

1.8298 '

1. 8307

1.8315

log E

5. 6316

17

18

19

20

21

22

23

23

24

5.6325

26

27

28

29

30

31

32

33

34

5. C335

36

37

37

38

39

40

41

42

43

5. 6344

45

46

47

48

49

50

51

52

53

5. 6354

55

56

57

58

59

60

61

62

63

5. 6364

65

66

67

68

69

70

71

72

73

5.6374

logF

7.371 

7. 391

7.409

7. 427
GANNETT.] GEOGRAPHIC TABLES AND FOKMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 8°.

 199

Lat.

o / 

8 00

1

2

3

4

05.

G

7

8

9

10

11

12

< 13

14

15

16

17

18 

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

64

55

56

57

58

. 59

GO

log A 

fliir. 1"=-0.02

8. 509 6981

80

79

77

76

75

74

73

71

70

8. 509 G9G9

68

07

65

64.

63

62

61

59

58

8.509 Q957

5G

54

53

52

51

' 4849

47

46

8. 509 6945

43

42

41

39

38

37

36

34

33

8.509 6932

31

29

28

27

25

24

23

22

20

8.509 6919

. 18

16

15

14

12

11

10

09

07

8.509 6906

lOgB 

(lift 1"=-O.OG

8. 512 5907

04

5900

5897

93

90

86

82

79

75

8. 512 5872

68

64

61 .

57

54

50

46

43

39

8.512 58353-2

28

24

20

17

13

09

06

5802

8.512 5798

94

91

87

83

79

75

72

68

64

8.512 5760

56

53

49

45

41

37

33

29

26

8. 512 5722

18

14

10

06

5702

569S

94

90

86

8. 512 5682

logC

0. 55464

555

646

738

829

0. 55919

0. 56010

100

191

281

0. 56371

460

550

639

728

817

906

0. 5G995

0. 57083

172

0.57260

348

436

523

 Gil

G98

785

872

0. 57959

0. 58045

0.58132

218

304

390 476

562

647

732

818

903

0.58987

0. 59072

157

241

325

409

493

577

660

744

0. 59827

910

0. 59993

0. 60076

159

241

324

406

488

570

0. 60652

logD 

cliff. 1"=+0.14

1 . 8315

24

33

42

50

59

68

77

85

1. 8394

1.8403

12

20

28

37

45

54

62

71

79

 1. 8488

1. 8496

1.8505

13

21

30

38

46

55

63

1. 8571

80

88

1.8596

1.8604

13

21

29

37

45

1.8653

61

69

77

85

1.8693

1.8701

09

17

25

1.8733

41

49

57

65 .

73

81

89

1.8796

1.8804

1.8812

logE 

cliff. I" =+0.02

5.6374

75

76

77

78

79

80

81

82

83

5. 6384

85

86

87

88

90

91

92

93

94

f>.C395

96

97

98

99

5.6-100

5. 6401

0203 '

04

5. 6406

07

08

09

10

11

V2

13

14

15

5.6416

18

19

20

21

22

23

24

25

26

5,6428

29

30

31

32

33

34

35

37

38

5. G439

log F

1 7.427

,

7. 444

7.461

7.476
200 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position/computations Continued.

LATITUDE 9°.

[BULL. 234.

Lat.

o /

. 9 00

1

'2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30 

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"=-0.02

8.509 6906

05

03

02

. 6901

6899

98

97

95

94

1 8.509 6893

91

90

89

87

86

84

83

82

80

8. 509 6879

78

76

75

74

72

71

69

68 ' ' 67

8. 509 6865 

64

62

61

60

58

57

55

54

53

8. 509 -6851

50

48

47

45

44

43

41

40

38

8.509 6837

35

34

33

31

30

28

27

25

24

8. 509 6822

logB 

diff.l"=-0.07

8. 512 5682

78

74

70

66

62

58

54

50

46

8. 512 5642

38

34

30

26

22

18

14

10

06

8.512 5602

. - 5598

93

89

85

81

77

73

69

64

8.512 5560 

56

52

48

43

39 35

31

27

22

8.512 5518

14

10

05

5501

5497 '

92

88

84

80

8.512 5475

71

67

62

58

54

49

45

40

36

8.512 5432

logC

0. 60652

733

815

896

0.60977

0. 61058

139

220

301

881

0. 61461

542

622

702

. 781

861

0. 61941

0. 62020

099

178

0. 62257

336

415

493

572

650

728

806

884

0. 62962

0. 63039 

 117

194

271

S49

426

502

579

656

732

0. 63808

885

0. 63961

0. 64037

112

188

264

339

415

490

0. 64565

640

715

789

864

O.' 64938

0. 65013

087

161

' 235

0. 65309

logD 

diff.l"=+0.12

1.8812

20

2735 '

43

51

58

66

74 .

81

1. 8889

1.8897

1. 8904

12

19

27

34

42

50

57

1.8964

72

79

87

1.8994

1. 9002

09

17

24 31

l: 9039 

46

53

61

68

75

82

90

1.9097

1.9104

1.9111

19

26

33

40

47'

54

61

69

76

1.9183

90

1.9197

1.9204

11

IS

25

32

39

46

1. 9253

logE 

cliff. 1"= +0.02

5. 6439

40

41

42

44

45

46

47

48

49

5. 6450

52

53

54

55

56

. 57

59

60

61

5. 6462

63

65

66

67

68

69

70

72

73

5.6474 

75

76

78

79

80

81

83

84

85

5. 6486

87

89

90

91

92

94

9596 '

97

5. 6498

5. 6500

01

02

03

05

06

07

08 :

10

5.6411

logF

7.476

7.490

7. 505

7.618
GANNETT.]. GEOGBAPHIC TABLES AND FOEMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 10°.

201

 Lut.

o / 

10 001

2

3

4

05

6

7

8

9

: 1011

12

13

14

15

10

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

i 35

36

37

38

39

40

41

42

. 43

44

45

46

47

.48

.49

50

51

52

53

54

55 .

50

57

58

59

60

log A 

cliff. 1"=-0. 03

8. 509 6822

21

19

18

17

15

14 ' 12

11

9

8.509 6808

06

05

03

02

6800

6799

97

96

94:

8. 509 6793

91

90

88

87

85

84

82

81

79

8. 509 6777

76

74

73

71

70

08

67

65

64

8.509 6762

60

59

57

50

54

53

5150 '

48

8. 509 6746

45

43

42

40

38

37

35

34

32

8.509 0730

logB 

cliff. 1"=-0. 08

8.512 5432

27

23

19

14

10

. 05

5401 .

5390

92

8.512 5388

83

79

74

70

05

01

50

52

47

8. 512 6343

38

33 

29

24

20

15

11

06

5302

8.512 5297

92

88

83

79

74

69

65

60

55

8. 512 5251

46

41

37

32

27

23

18

13

OS

8. 51.2 5204

51.99

94 '89 

85

80

75

70

60

61

8. 512 5156

logC

0. 65309

383

456

530

603

077

750

. 823

890

0. 05908

0. 06041

114

180

259

331

403

475

547

019

091

. 0. 06762

834

905

0. 66976

0. 67047

118

189

260

331

401

0. '67472

542

613

683

753

823

893

0. 67962

0.68032

102

0. 68171

240

310

379

448

517

586

654

723

791

 0.08800

928

' 0.08990

0. 09064

132

200

268

336

404

471

0. 09539

logD 

cliff. 1"= +0.11.

1. 9253

CO

07

74

80

87

1. 9294

1.9301

08

15

1. 9322 '

28

35

42

49

50

02

69

76

82

1. 9389

1. 9396

1. 9403

09

16

23

29

36

42

/49

1.9450

02

09

75 

82

88

1. 9495

1. 9501

08

14

1.9521

27

34

40

47

53

60-

66

72

79 '

 1.9585

91

1. 9598

1. 9604

10

17

23

29

36

42

1, 9648

logE 

cliff. 1"= +0.02

5". 0511

12

13

15

1C

17

18

20

21

22

5. 0524

25

26

27

29

30

31

33

34

35

5. 6536

38

39

40

42

43

44

40

47

48

5. 0549

51

52

53

55

56

57

59

CO

61

5. 6563

64

' 05

67

68

69

71

72

73

75

5. 6576

78

79

80

82

83

84

86

87

88

5. 6590

log F

7. 51 8

7.532

7.544

7. 556
202 GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 11°.

[BULL. 234.

Lat.

0 /

11 00 -

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

.28

29

30

31

32

33

34

35

36

37

38

39

- 40

41

42

43

44

45

46

47

48

49

50

51

62

53

54

55

56

. 57

58

59

CO

log A 

diff.l"=-0.03

8. 509 6730

29

. 27-

26

24

22

21

19

18

16

8.509 6714

. 13

11

09

OS

06

05

03

01

6700

8.509 6698

96

95

93

91

 90

88

86

85

83

8. 509 6681

80

78

76

75

73

71

70

68

66

8. 509 6665

63

61

59

58

56

54

53

51

49

8/509 G647

46

44

4341

39

37

35

34

32

8.509 6630

logB 

diff.l"=-0.08

8. 512 5156

51

46

41

37

32

27

.22

17

12

8. 512 6108

5103

5098

5093

88

83

78

73

68

63

8.512 5058

53

49

44

39

34

29

24

>19

14

8.512 5009

04

4999

94 89

83

78

73

68

63

8. 512 4958

53

48

43

38

33

28

22

17

12

8. 512 4907

4902

4897

92

so

81

76

71

66

60.

8. 512 4855

logC

0. 69539

606

673

740

807

874

0. 69941

0. 70008

074

141

0. 70208

274

340

406

473

539

604

670

736

802

0.70867

933

0. 70998

0. 71063

128

194

259

323

388

453

0. 71518

582

647

711

.775

840

904

0. 71968

0. 72032

095

0. 72159

223

286

350

413

477

540

603

666

729

0. 72792

855

918 .

0.72980

0. TatHU

106

168

230

293

355

0. 73417

logD 

diff.l"=+0.10

1.9648

54

61

67

73

79

 86

92

1.9698

1. 9704

1. 9710

16

23

29

35

4147-

53

59

65

1.977177 '

83

89

1. 9795

1. 9801

07

13

19

25

1. 9831

37

43

49

55

61

67

73

8'5 79

1.9890

.1 . 9896

1.9902

08

14

20

25

31

37

43

1.9949

54

60

GO

72

77

83

89

94

1.9900

2.0006

logE 

diff.l"=+0.02

5.6590

91

93

94

95

97

98

5. 6599

5.CC01

02

5. 6604

05

06

08

09

11

12

13

15

. 16

5. 6618

19

20

22

23

25

26

27

29

30

5.6632

33

35

36

37

39

40

42

43

45

5.664G

47

49

50

52

53

55

56

58

69

5.6661

62

64

G5

oo

68

69

71

72

74

5. 6675

log F

7.556

7.568

7.580

7.591
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 12°.

203

Lat.

o / 

12 00

1

23 '

4 .

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

81

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

Cliff. 1"= -0.03

8. 509 C630

29

27C3

25

23

21

20

18

16

14

8.509 6613

11

09

07

06

04

. 02

6600

6599

97

8. 509 6595

93

91

90

88

86

84

82

81

79

8.509 6577

75

73

72

70

08-

66

64

62

61

8. 509 6559

57

55

53

51

. 50

48

46 ' 44

42

8. 509 6540

39

37

35

33

31

29

27

25

24

8. 509 6522

logB 

cliff.l"=-0.09

8. 512 4855

50

45

39

34

29

24

18

' 13 

08

8. 512 4803

4797

92

87

 81

76

71

65

60

65

8.512 4749

44

39

33

28

23

17

12

06

4701

8.5124696

90

85

79

74

68

63

57

52

46

8. 512 4641

35

30

24

19

13

08

4602

4B97

91

8. 61 2 4586

80

75

69

63

58

52

47

41

35

8. 512 4530

logC

0. 73417

479

541

603

664

726

788

849

911

0. 73972

0. 74033

094

156

217

278

339

399

460

521

581

0. 74642

702 .

763

823

883

0. 74943

0. 75003

063

123

183

0. 75243

302

362

422

481

540

600

659

718

777

0. 75836

895

0. 75954

0. 76013

072

130

189

247

306

364

0. 76422

481

539

 597

655

713

771

828

886

0. 76944

0. 77001

logD 

cliff. 1"= +0.09

2.0006

11

17

23

28

34

40

45

51

57

2. 0062

67

73

79

84

90

2.0096 

2.0101

07

12

2. 0118

23

29

34

40

45

60

56

61

67

2. 0172

77

83

88

94

2. 0199

2.0205

10

15

21.

2.0226

32

37

42

47

53

58

63

69

74

2. 0279

84

90

2.0295-

2.0300

05

10

16

21

26

2.0331

logE 

cliff. 1"^ +0.04

5.6675

77

78

80

81

83

84

86

87

89

5. 6690

92

93

95

96 .

98

99

5. 6701

02

04

6. 6705

07

08

10

11

13

14

 16 

17

19

5. 6720

22

24

25

27

28

. 30

31

33

34

5. 6736

37

39

41

42

44

45

47

48

50

5. 6751

53

55

56

58

59

61

62

64

66

5, 6767

log F

7.591

7.601

7. 611

7.621
204 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 22 Geodetic position computations Continued.

LATITUDE 13°.

[BULL. 234.

Lat,

o / 

13 00,

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

 31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"=-0.03

8. 509 6522

20

18

16

14

12

10

09

07

05

8. 509 6503

6501

6499

97

. 95

93

91

90

88

86

8. 509 6484

82

80

78

76

74

72

70

68

66

8. 509 6464

63

61

59

57

55

53

51

49

47

8. 509 6445

43

41

39

37

35

33

31

29

27

8. 509 6425

23

21

19

17 .

15

13

11

09

07

8. 509 6405

lOgB 

Cliff. 1"=- 0.10

8. 512. 4530

24

19

13

07

4502

4496

90

85

79 .

8.512 4473

67

62

56

- 50

45

39

33

27

22

8.512 4416

10

4404

4399

93

87 

. 81

76

70

64

8.512 4358 ' 52

46

41

35

29

23

17

11

4305

8. 512 4299

94

88

82

76

- 70

64

58

52

46

8. 512 4240

34

28

22

16

10

4204

4198

92

 86

8.512 4180

logC 

cliff. 1"= +0.93

0. 77001

059-

116

174

231

288

346

403

460

517

0. 77574

630

687

744

801

857

914

0. 77970

0. 78027

 083

0. 78139

195

251

307

363

419

475

531

587

642

0. 78698

754

809

865

920

0. 78975

0. 79030

086

141

196

0. 79251

306

360

41.5

470

525

579

634

588

743

0. 79797

851

905

0. 79960

0. 80014

068

122

176

230

284

0. 80337

logD 

cliff. 1"=+O.OJ

2. 0331

36

42

47

52

57

62

67

73 

78

2.0383

88

93

2. 0398

 2.0403

08

13

18

23

28 

2. 0433

38

44

49

54

*' 59

64

69

74

78

2. 0483

88

93

2. 0498

2. 0503

08 

13

18

23

28 ,

2. 0533

38

42

47

52

57

62

67

72

76

2. 0581

80

91

2. 0590

2. 0601

05

10

15

20

24

2. 0629

JogE 

? cliff. 1"= +0.03

5. 6767 '

69

70

72

74

75

77

78

80

82

5. 6783

85

86

88

90

91

93

94

96

98

5. 6799

5. 6801

03

04

06

07

09

11

121'4

5. 6816

17

19

20

22

24

25

27 i

29 .

30

5. 6832

34

35 37 :

39 ;

40

42

. 44 :

45 ; 47 ;

5. 6849

50

52

54

55

57

59

60

62

64

5. 6865 !

logF

7. 621

7. 631

7. 640

7.649
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Cbntinucd. 

LATITUDE 14°.

205

Lat.

o /

I'l .00,

1

2

3

4

05

6

7

8

.9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

- 26

27

28

29

3031 '

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

. 47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff.l"=-0.03

8. 509 G405

03

G401

6399

97

95

93

. 91

89

87

8.509 6385

83

. 81

79

77

75

73

71

'67 69

8. 509 6365

63

61

5856'

64

52

50

48

46

8.509 6344

42

40

38

36

34

32

29

27

25

8. 509 6323

21

19

17

15

13

11

08

06

04

8.509 6302

6300

6298

96

94

92

89

87

85

83

8. 509 6281

logB 

cliff. 1"= -0.10

8.512 4180

7468'

62

56

50

44

38

32

26

8. 512 4120

14

08

4101

4095

89

83

77

71

(55

8.512 4059-

'4652

40

34

28

21

15

09

4003

8.512 3997

90

84

78

72

65

59

53

47

40

8.512 3934

28

22

15

09

3903

. .... 3896

90

84

77

8. 512 3871

65

58

52

45

39

26' 33

20

. 13

8.512 3807

logC 

Cliff. 1"= +0.87

0. 80337

391

445

498

552

605

659

712

765

819

0.80872

925

0. 80978

0. 81031

084

137

190

243

295

348

0. 81401

453

506

558

611

663

715

767

820

872

0. 81924

0. 81976

0. 82028

080

131

183

235

287

338

390

0. 82441

493

544

596

647

698 749"

800

852

903

0. 82954

0. 83005

055

106

157

208

258

309

360

410

0. 83461.

logD 

cliff. 1"= +0.08

i 0629

34

39

43

48

53

58

62

67

72

2. 0676

81

86

90

2. 0695

2. 0700

04

09

14

18

2.0723

28

3236°

41

46

51

55

60

64

2. 0769

73

78

83

87

92

2. 0796

2. 0801

05

10

2. 0814

19

23

28

32

37 

41

46

50

54

2. 0859

63

68

72

77

81

85

90

94

2. 0899

2.0903

log E 

cliff.l"=+0.03

5. 6865

67

69

71

72

74

76

77

79

81

5. 6882

84

86

88

89

91

93

94

96

98

5.6900

01

03

05

06

08

10

12

13

15

5.6917

19

20

22

24

26

27

29

31

33

5. 6934

36

38

40

41

43

45

47

48

50

5. 6952

54

55

' 57

59

61 S^

63

64

66

68

5. 6970

logF

7. 649

7.658

7.667

7.675
206 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 15°.

[BULL. 234.

Lat.

o /

15 00

1

2

3

4

05

Q

' 78

9

10

11

12

13

14

15

16

17

18

19

20;

21

22

23

24

25

26

27

28

29

30

. 31

32

33

34

35

. 36

37

38

39

40.

41

42

43

44

45

46

47

48

49

50

51

52

53

 64

55

56

57

58

59

GO

log A 

cliff. 1"= -0.04

8. 509 6281

79

77

74

72

70

68

66

64

62

8.509 6259

57

55

53

51

49 '

46

44

42

40

8. 509 6238

35

33

31

29

27

24

22

20

18

8. 509 6216

14

11

09

07

05

02

6200

6198

96

8.509 6194

91

89

87

85

82

80

78

76

73

8.509 6171

69

67 ' 64

62

V 60

58

55

53

51

8.509 0149

logB . 

diff.l"=-0.11

8. 512 3807

3801

3794

88

81

75

68 ,

62

56

49

8. 512 3743

36

30

23

17

10

3704

3697

91

84

'S. 512 3677

71

 » 64

* 58

51

45

38

31

25

18

8. 512 3612

3605

3598

. 92

85

79

72

65

59

52

8. 512 3545

39

32

25

19

' 12

3505

3498

92

85

8.5.12 3478

71

65

58

51

44

38

31

24

17

8.512 3411

logC 

cliff. 1"= +0.82

- 0. 83461

511

561

612

662

712

762

813

863

913

0.83963

0. 84012

062

112

162

212

261

311

361

410

0. 84460

509

558

608

657

706

755

804

- 854

903

0. 84952

 0. 85001

049

098

147

196

245

293

342

390

0. 85439

487

536

584

 633

681

729

777

825

' 874

0. 85922

0. 85970

0.86018

066

113

. 161

209

257

304

352

0. 86400

logD 

cliff. 1"= +0.07

2. 0903

07

. 12

16

21

25

29

34

38

42

2. 0947

51

55

59 '

64

68

72

77-

81

85

2. 0990

94

2. 0998

2. 1002

07

11

15

19

23

28

2. 1032

36

40

44

49

53

57

61

65

69

2. 1074

78

82

86

90

94

2. 1099

2. 1103

07

11

2.1115

19

23

27

31

35

39

44

48

52

2. 115G

logE 

cliff. 1"= +0.03

5. 6970

. 72

73

' 75

. 77

79

80

82

84

86

5. 6988

89

91

93

95

97

5. 6999

5. 7000

. 02

04

"5.7006

08

09

11

13

15

17

19

20

22 .

5. 7024

26

28

30

31

33

35

37

39

41

5. 7042

44

46

48

50

52

54

55

57

59

5. 7061

63

65

67

69

70

72

74

76

78

5. 7080

logF

7. 675

7. 683

7.691

7. 098
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 16°.

207

Lilt.

o / 

16 00

1

2

3

4

.05

6

7

8

9

10

11

12

13

14

15

16

 17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

'4241

43

44

45

46

47

48

49

50

515'>

53

54

55

56

57

58

59

 60

log A 

cliff. 1"= -0.04

8. 509 6149

46

44

42

40

37

35

33

30

28

8.509 6126

24

21

19

17

14

12

10

08

05

8. 509 6103

6101

6098

96 .

. 94

91

89

87

84

82

8. 509 6080

,77

75

73

70

68

66

63

61

 59

8. 509 6056

64

62

49

47

45

42 

40

37

35

8. 509 6033

30

28

26

23

21

18

16

14

11

8.509 6009

logB 

. cliff. 1"=-0.12

8. 512 3411

3404

3397

90

83

76

70

63

56

49

8.512 3342

35

28

22

15

08

3301

3294

87

80

8.512 3273

66

59

52

45

39

32

25

18

11

8.512 3204

3197

 90

83

76

69

62

55

48

41

8.512 3133

26

19

12

3105

3098

91

84

77

70

8.512 3063

56

48

41

34

27

20

13

3006

2998

8. 512 2991

logC 

Cliff. 1"= +0.77

. 0. 86400

447

495

542

590

637

684 :

732

779

826

0.8(5873

921

0. 86968

0.87015

062

109

156

202

249

296

0. 87343

389

436

483

529

576

622

669

715

761

0. 87808

854

900

947

0.87993

0.88039

085

131

177

223

0. 88269

315

360

406

452

498

543

 589

634

680

0.'S8726

771

816 .

862

907

952

0. 88998

0. 89043

088

133

0. 89178

logD 

cliff. 1"= +0.06

2. 1156

60

64

68

72

76

80

84

88

92

2. 1196

2. 1200

04

08

12

16

20

24

28

32

2. 1236

40

44

47

51

55

59

r . 63

'7167

2. 1275

79

83

87

90

94

2. 1298

2. 1302

06

10

2.1314

17

21

 25

29

33

37

40

44

48

2.1352

56 . '

69

63

67

71

74

78

82

86

2.1390

log E 

aiff.l"=+0.03

5. 7080

82

84

85

87

89

91

93

95

97

5. 7099

5. 7101

03

04

06

08

'10

12

14

16

5.7118

20

22

24

25 

27

29

31

33

35

5. 7137

39

41

43

45

47

49

51

52

54

5.7156

58

60

62

64

66

68

70

72

74

5. 7176

78

80

82

84

86

88

90

92

94

5.7196

log?

7. 698

7.705

'

7.712

7.719
208 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 17°.

[BULL. 234.

Lat.

o / 

. 17 00

1

2

3

4

05

6

7

8

9

30

11

12

13

14

15

16

' 17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

it

35

36

37

38

.39

40

41

42

43

44

45

46

47

48-

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"=- 0.04

8. 509 6009

06

04

6002

5999

97

94

92

90

87

8. 509 5985

82

80

78

75

73

%70 ' 68

,. 65

63

8. 509 5961

58

56

53

51

48

46

. 44

41

39

8. 509 5936

34

31

29

26

. 24

21

19

16

14

8. 509 5912

09

07

04

5902

5899

 97

94

92

89

8. 509 5887

84

82

79

 77

74

72

69

.67

64

8.509-5862

logB 

cliff. 1"= -0.12

8. 512 2991

84

77

70

62

55

48

41

34

26

8. 512 2919

12

2905

2897

. 90

 83

. 76 '

68

61

54

8.512 2846

39

32

24

17

" ; 10

: 2802

i 2795.

v 88

:' 80

8. 512 2773

66

58

51

44

r 36

29

21

14

2707

8. 512 2699

92

84

77

69

' 62

. 55

, 47

40

32

8.512 2625

. 17

 10

2602

2595

87

80

72

65

57

8.512 2550

logC 

cliff. 1"= -0.73

0. 89178

223

268

313

358

403

. 448

493

538

583

0.89627

672

717

761

806

850

895

939

0. 89984

0. 90028

0. 90072

117

161

205

. 249

. 294

' 338

382

426

47C

0. 90514

558

602

646

689

 733

777 '

821 .

864

908

0. 90952

0. 90995

0. 91039

082

126

169

212 256

299

342

0. 91386 '

429

472

515

558

601

644 .

687

730

773

0. 91816

logD 

cliff. 1"= +0.06

2.-1390

93

2.139V

2. 1401!

04

08

12

16

19

23

2.1427

30

34

38

42

45

49

53

56

60

2.1464

67

71

75

78

8285'

89

93

2. 1496

2,1500

04

07

11

14

18

22

25

29

: 32

2. 1536

39

43

47

50

 54

57

61

64

' 68

2. 1571

75

78

82

85

89

92

96

2. 1599

2. 1603

2. 1606

log E log F 

. cliff. 1"= +0.03

5.7196 77719

97

99

5. 7201

03

05

07

09

11

13

5. 7215

17

19

21

23

25

27

29

31

33

5. 7235 7. 726

37

39

41

43

45

47

49

51

53

5.7255

57

59

61

64

66

68

70

72

74

 5.7276. 7.732

78 i

80

82

.84

86

88

r. 90

92

94

5. 7296

5. 7298

5. 7300

02

04

06

08

11

: 13

. 15

5. 7317 7. 738
GANNETT,] GEOGKAPHIC TABLES AND FOEMULAS.

TA.ULK 22.--Geodetic position computations Continued. 

LATITUDE -18°.

209

Lat.

o / 

18 00

1

2

3

4

05

G

7

8

9

10

11.

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

.43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

69

GO

log A 

d i IT. 1"= -0.04

8. 509 5862

59

57

54

52

49

46

44

41

39

8. 509 5836

34

31

29

26

24

21

19

16

1?

8. 509 5811

08

06

03

8. 509 5801

8. 509 5798

96

93

90

88

8. 509 5785

83

80

 78 .

75

72

70

67

65

62

8. 509 5759

67

54

52

49

46

44

41

39

36

8. 609 5733

'28 31

25

23

20

18

15

12

10

8. 509 5707

log.B 

cliff.l"=-0.13

8. 512 2550

42

35

27

19

12

S. 512 2504

8. 512 2497

89

81

8. 612 2474

66

59

51

43

3628'

20'

13

8. 512 2405

8. 5.12 2397

90

82

74

 67

59

51

44

36

28

8. 512 2320

13

8. 512 2305

8. 512 2297

90

82

74

66

58

51

8. 512 2243

35

27

19

12

8. 512 2204

8. 512 2196

88

80

72

8.512 2165

57

49

41

33

25

37

10

8.512 2102

8. 512 2094

8. 512 2086

logC 

Cliff. 1"= +0.70

0.91816

859

902

945

0. 91987

0. 92030

073

115

158

201

0. 92243

286

328

371

413

456

498

540 

582 

625

0. 92667

709

751

793

836

878

920

0. 92962

0. 93004

046

0. 93088

129

171

213

255

296

338

380

421

463

0. 93505

546

588

629

671

712

753

795 .

836

877

0. 93919

0. 93960

0. 94001

042

083

125

166

207

248

289

0. 94380

logD 

cliff. 1"=+0.06

2. 1606

10

13

1.7

20

24

27

31

34

38

2. 1641

44

48

61

55 .

58

62 .

65

68

72

' 2. 1675

79

82

85

89

92

95

2. 1699

2. 1702

06

2. 1709

12

16

19

22

26

29

32

36

39

2. 1742

46

49

52

56

59

62

65

69

72

2. 1775

79

82

85

88

92

95

2. 1798

2. 1801

05

2.1808

log E 

cliff. 1"=+0.03

5. 7317

19

21

23

25

27

29

31

33

35

5. 7337

39

41

44

40

48

50

52

54

66

5. 7358

60

62

64

67

69

71

73

75

77

5. 7379

81

83

85

88.

90

92

94

96

5. 7398

5. 7400

02

05

07

09

11

13

15

17

19

5.7422

24

26

28

30

32

34

37

39

41

5. 7443

log F 

cliff. 10'=+3.0

7.738

7. 744

7.750

7.756

Bull. 234 04 14
210 GEOGRAPHIC TABLES AND FORMULAS.

.TABLE 22. Geodetic vosition computations Continued.

LATITUDE 19°.

[BULL. 234.

Lilt.

o / 

19 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

38

19

- . 20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

.55

56

57

58.

59

60

log A log B 

diff.l"=-0.04 diff.l"=-0.13

8. 509 5707

04

8. 509 5702

8.509 5699

96

94

91

89

86

83

8.509 5681

78

75

73

70

67

65

62

59

57

8.509 5654

52

49

46

43

41

38

35

33

30

8. 509 5627

25

22

19

16

14

11

08

06

03

8.509 5600

8. 509 5598

95

92

89

87

84

81

78

76

8. 509 5573

70

68

65

62

59

57

54

51

48

8.509 5546

8. 512 2086

78

70

62

54

46 ~ 38

30

' 22

14

8. 512 2006

8. 512 1999

91

83

75

67

59

51

43

35

8. 512 1927

19

11

8. 512 1903

8. 512 1895 .

87

79

71

' 6355

8. 512 1847

38

30

22

14

8. 512 1806

8. 512 1798

90

82

74

8. 512 1766

57

49

41

33

25

17

08

8. 512 1700

8.512 1692

8.512 1684

75

67

59

51

43

34

26

18

10

8. 512 1602

logC 

diff.l" = +0.67

0. 94330

370

411

452

493

534

575

615

656

697

0. 94737

778 '

819

859

900

940

0. 94981

0. 95021

061

102

0. 95142

182

223

263

303

344

384

424

464

504

0. 95544

584

624

664

704

744

784

824

863

903

0. 95943

0. 95983

0. 96022

062

. 102

' 142

181

221

260

300

0. 96339

379

418

457

497

536

575

615

654

693

0. 96733'

logD 

cliff. 1"= +0.05 d

2.1808 

11

14

18

21

24

27

30

34

37

2.1840

43

46

50

53

56

59

62

66

69

2. 1872

75

78

81

34 

88

91

94

2. 1897

2.1900

2. 1903

07

10

13

16

19

22

25

28

31

2. 1934

38

41

44

47

50

53

56

59

62

2. 1965

68

71

74

77

80

83

86

89

92

2. 1996

log E log F 

IT. 1" = +0.04 diff. 10' = +2.7

5. 7443 7. 756

45

47

49

52

54

56

58

60

62

5. 7464

67

69

71

 73

75

78

80

8284'.

5.7486 7.761 .

88

91

93

95

97

5. 7499

5. 7501

04

06

5.7508

10

12

15

17

19

21

23

26

28

5. 7530 7. 767

32

34

37

39

41

43

46

48

50

5. 7552

54

57

59

61

63

65

68

70

72

5. 7574 - 7. 772
GANNETT.] GEOGRAPHIC TABLES AJMD FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 20°. '

211

Lat.

o / 

' JO 00

1

2

3

4

C5

6

7

8

9

10

11

 12

13

14

15

16

M

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

88

39

40

41

42

43

44

45

46

47

48

49

50

51

62

53

54

55

56

67

58

59

60

log A 

diff.l"= -0.05

8. .r>09 5546

43

40

37

35

32

29

26

24

21

8.509 5518

15

12

10

07

04

8. 509 5501

8. 509 5499

96

93

8. 509 5490

87

85

82

79

76

73

71

 68

65

8. 509 5462

59

. 57

54

51

48

45

42

. 40

. 37

8. 509 5434

31

28

25

23

20

17

14

11.

08

8.509 5406

03

8. 509 5400

8. 509 5397

94

91

88

86

83

80

8.509 5377

logB 

cliff. 1"= -0.lt

8. 512 1602

8.512 1593

85

77

68

60

52

44

35

27

8. 512 1519

10

8.512 1502

8. 512 1494

85

77

69

60

5?

44

8.512 1435'

27

18

10

8.512 1402

8.512 1393

85

76

68

60

8.512 1351

43

34 

26

17

09

8.512 1301

8.512 1292

84

75

8.512 1267

58

50 

41

33

24

16

8.512 1207

8.512 1199

90

8.512 1182

73

64

56

47

39

30

21

13

8.512 1104

8. 512 1096

loffC 

cliff. 1"*= +0.64

0.96733

772

811

850

889

928

. 0.96967

0. 97006

045

084

0. 97123

162

201

240

279

318

356

395

434

472

0.97511

550

588

627

666

704

743

781

819

858

0. 97896

935

0. 97973

0. 98011

050

088

12P

164

203

241

0. 98279

317

355

393

431

469

507

. 545

583

621

0. 98659

697

735

773

811

848

886

924

962

0. 98999

0.99037

logD 

cliff.l"=+0.05

2.1996

2. 1999

2. 2002

05

08

11

14

17

20

23

2. 2026

28

31

34

37

40

43

46

49

52

2. 2055

58

 61

64

67

70

. 73

76

79 

81

2. 2084

87

90

93

96

2. 2099

2. 2102

05

08

10

2. 2113

16

19

22

25

28

31

33

36

39

2.2142

45

48

50

53

56

59 .

62

65

67

2. 2170

logE 

Cliff.l"=+0.04

5. 7574

77

79

81

83

86

88

90

92

94

5. 7597

5. 7599

5. 7601

03

06

08

10

12

15

17

5. 7619

21

24

26

28

30

33

35

37

40

fi. 7642

44

46

49

51

53

55

58

60

62

5. 7664

67

69

71

74

76

78 .

81

83

85

5. 7688

90

92

94

97

5. 7699

5. 7701

04

06

08

5. 7711

i

logF 

diff.lO'=+2.5

7. 772 .

7.777

7.782''

7.787
212 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

TABLE 22. Geodetic position com.puiatw'ns Continued. 

LATITUDE 21°.

Lat.

o / 

21 00 ' 1

2

3

4

05

G

7

8 

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

GO

log A 

diff.l"=-0.05

8. 509 5377

74

71

68

66

63

60

57

54

51

8. 509 5348

46

'13

40

37

34

31

28

25

22

8. 509 5320

17

14

11

08.

05

8. 509 5302

8. 509 5299

96

93

8. 509 5290

88

85

82

79

76

73

70

67

64

8. 509 5261

58

55

52

49

46

44

41

38

35

8.509 5232

2926 

23

20

17

14

11

08

05

8.509 5202

logB 

diff.l"=-0.15

8. 512 1096

87

79

70

62

53

45

36

27 

19

8.512 1010

8. 512 1002

8.512 0993

84

76

. 67

58

50

41

32

8. 512 0924

15

8. 512 0906

8. 512 0897

89

80

71

62

54

45

8. 512 0836

27 ' 19

10

8.512 0801

8. 512 0792

84

75

66

57

8. 512 0748

39

31

22

13

8.512 0704

8. 512 0695

86

78

69

8. 512 0660

51

42

33

24

15

8. 512 0606

8. 512 0598

39

80

8.512 0571

logC 

diff.l"= +0.062. diff

0. 99037

075

112

150

187

225

262

300

337 .

375

0. 99412

450

487

524

562

599

636

673

711

748

0. 99785

822

859

896

933

0. 99971

1.00008

045

082

119

1.00156

192

229

266

303

340

377

-413

450

487

1. 00524

560

597

634

670

707

743

780

816

853

1.00890

926

962

1. 00999

1.01035

072

108

144

181

217

1. 01253

logD 

1"=+0.04

2. 2170

73

76

79

81

84

87

90

93

95

2. 2198

2. 2201

04

07

09

12

15

18

20

23

2. 2226

29

31

34

37

40

42

45

48

50

2. 2253

56

59

61

64

67

69

72

75

78

2. 2280

83

86

88

91

94

96

2. 2299

2. 2301

04

2. 2307

09

12

15.

17

20

23

25

28

31

2. 2333

log E" log F 

diff.l"=+0.04 cliff. 10' = + 2.2

5. 7711 7. 787

13

18 15 '

20

22

24

27

29

31

5. 7734

36

38

41

43

45

48

50

' 52

55

5.7757 7.791 

59

62

64

66

69

71

73

76

78

5. 7780

83

85

87

90

92

94

97

5. 7799

5. 7802

5. 7804 7. 796

06

09

11

13

16

18

20

23

25

5. 7828

30

32

35

37

40

42

44

47

49

5. 7851 7. 800
GANNETT.] GEOGRAPHIC TABLES AKD FORMULAS.

TABLK 22 Geodetic position computations Continued.

LATITUDE 22°.

213

Lut.

o / 

22 00

1

2

3

4

05

0

7

8

9

30

11

12-

13

14

 15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

61

52

63

54

55

56

57

58

59

60

log A 

din.l"=-0.05

8. 509 5202

8. 509 5199

96

93

90

87

84

81

' 78

75

8. 509 5172

69

06

63

00

57

54

51

48

45.

8. 509 5142

39

36

33

30

27

- 24

21

18

15

8.509 5112

09

06

03

8.509 6100

8. 509 5097

94

91

88

85

8. 509 5082

79

76

72

09

66

63

60

57

54

8.509 5051

48

45

42

39

30

33

30

27

23

8.509 5C20

logB 

diif.l"=-0.15

S. 512 0571

62

53

44

35

26

17

8. 512 0508

8. 512 0499

90

8. 512 0481 '

72

63

54

45

36

27

18

09

8.512 0400

8. 512 0391

82

73

64

55

46

37

28

19

10

8. 512 0301

8. 612 0292

83

73

04

55

46

37

28

19

8. 512 0210

8. 612 0200

8. 612 0191 '82

73

04

55

40

30

27

8. 512 0118

09

8.512 0100

8. 512 0090

81

72

03

54

44

35

8.612 0026

logC 

difl.l"=+0.59

1. 01253

289

320

362

398

434

470

506

642

578

1.01615

651

087

723

759

794

830

866

902

938

1.01974-

1.02010

045

081

117

153

188

224

260

295

1. 02331

367

402

438

473

509

544

680

615

651

1. 02686

721

757

792

828

803

898

933

1 -02909

1 -03004

1. 03039

074

109

145

180

215

250

285

320

355

1.03390

'logD 

d iff. 1"=+ 0.04

2.2333

36

38

41

44

46

49

51

54

57

2. 2369

62

64

67

70

72

75

77

80 '83

2. 2385

88

90

93

95

2. 2398

2. 2400

03

00

08

2.2411

13

16

18

21

23

20

28

31

33

2. 2430

38

41

43

46

48

51

53

56

58

2. 2461

63

00

68

70

73

75 78

 80

83

2. 2485

log E log F 

din. 1"= +0.04 diff.!0'=+2.0

5.7851 7.800 54 '

56

59

61

63

60

08

71

73

5. 7875

78

80

83

85

87

90

92

95

97

5. 7899 7. 804

5. 7902 ' 04

07

09

11

14

10

19

21

5. 7924

20

28

31

33

30

38

. 41

43

46

5. 7948 7. 808 '

50

53

55

58

GO

02

05

07

70

5. 7972

75

77

80

82

84

87

89

92

94

6.7997 7.812
214 TABLES ANf) FORMULAS. 

TABLE 22. Geodetic position computations Continued

LATITQDE 23°.

[BULL: '234.

Lat.

o / 

23 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

4142-

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"= -0.05

8. 509 5020

17

14

11

08

05

8.509 5002

8. 509 4999

96

93

8. 509 4990

87

- 83'

80

77

74

71

68

65

02

8. 509 4959

55

52

49

46

43

40

37

34

31

8.509 4927

24

21

18 

15

' 12

09

05

8.509 4902

8. 609 4899

8. 509 4896

93

90

87

83

80

77

74

71

68

8. 509 4865

61

58

55

52

49

45

42

39

36

8. 509 4833

logB 

diff,l"=-0.16

8.512 0026

17

8. 512 0008

8. 511 9998

' 89

80

71

61

52

43

8.511 9934

24

15

. 8. 511 9906

8.511 9896

87

78

68

59

50

8.511 9840

31

22

12 

8;511 9803

8.511 9794

84

75

66

56

8.511 9747

37

28

.19

09

8.511 9700

8.511 9690

81

71

62

8.511 9653

43

34

24

15

8.511 9605

8.511 9596

86

77

67

8. 511 9558

48

39

29

20

10

8.511 9501

8.511 9491

82 

72

8.511 9463

logC 

diff.l"=+0.57

1.03390

425

460

495

530

565 '

600

634

669

704

1. 03739

774

809

843

878

.913

947

1. 03982

1.04017

052

.1. 04086

121

155

190

224

259

293

328

362

397

1.04431

466

500

. 534

569

603

637

672

706

740

1.04775

809

843

877

911

945

1.04980

1. 05014 ^

048

082

1 . 05116

.150

184

218

252

286

320

354

388

422

1.05456 

logD 

diff.l"=+0.04

2. 2485

88

90

93

95

2. 2497

2. 2500

02

05

07

2. 2510

12

14

17

19

22

24

26

29 .

31 

2. 2534

36

. . 38

41

43

45

48

50

53

55

2. 2557

60

62

64

67

69

71

74

76

78

2. 2581

83

85

88

90

92

95

97

2. 2599

2. 2601

2. 2604

06

09

11

13

16

18

20

23

25

2. 2627 ;

logE 

diff.l"=+0.04 (

5. 7997

5. 7999

5. 8002

04

07

0912 '

14

16

19

5.8021

24

26

29

31

34

36

39

41

44

5. 8046

49

51

54

56

59

61

64

66

69

5. 8071

74

76

79

81

84

86

89

91

93 

5. 8096

5. 8099

5.8101

04

06

09

11

14

16

19

5. 8121

24

26

29

31

34

36

39

41

44

5. 8146

logF

7. 812

7.816

7. 819

7. 823
GANNETT.] . GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 24°.

215

L:lt.

o / 

24 00

1

2

3

4

05

6

7

8

9

10

.11

12

13

14

15

1C

17 " 18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49.

50

51

52

53

54

55

56

57

58

59

GO

log A 

cli(T.l"=-0.05

8. 509 4833

30

20

23

20

17

14

10

07

04

8. 509 4801

8.509 4798

94

91

88

85

82

78

75

72

8. 509 4769

66

 62

59

56

53

50

46

43

40

8. 509 4737

33

30

27

24

20

17

14

11 07

8. 509 4704

8. 509 4701

8. 509 4698

94

91

88

85

81

78

75

8.509 4672

68-

65

62

59

55

52

49

45

42

8. 509 4639

logB 

diff.l"=-0.1G

8. 511 9463

53

44

34

24

15

8.511 9405

8.511 9396

86

77

8.511 9367

58

48

38

29

19

09

8.511 9300

8.511 9290

81

8. 511 9271

6152 '

' 42

32

'23

13

8.511 9203

8.511 9194

84

8. 511 9174

65

55

45

35

26

16

8.511 9106

8.511 9096

87

8.511 9077

67

58

48

38

28

18

_.8.511 9009

8.511 8999

89

8.511 8979

70

60

50

40

30

21

11

8.511 8901

8. 511 8891

8.511 8881

'logC 

diff.l"=+0.56

1.05456

. 490

523

557

591

625

658

692

726

760

1.05794

827

861

894

928

962

1 . 05995

1.06029

062

096 '

1.06130

163

.197

230

263

297

330

364

397

431

1 . 06464

497

530

564

597

 630

664

697

730

763

1.06797

830

863

896

929

962

1. 06995

1.07028

061

095

1.07128

161.

194

226

259

292

325

' 358

391

424

1.07457

' logD 

did 1"= +0.04

2. 2627

29

31

34

30

08

41

43

45

47

2. 2650

. 52

54

56

59

61

63

65

68

70

''>. 2672

74

77

79

81

83

85

88

90

92

2. 2694

96

2. 2699

2. 2701

03

05

07

 10

' 12

14

2. 2716 ' 18

20

23

25

27

29

31

33

36

2. 2738

40

42

44

46

49 '

51

53

55

57

2.2759

log E log F 

di(T.l"=+0.04 cliff. 10'= +1.0

5. 8146 7. 823

49

51

54

57

59

02

64

67

69

5. 8172

74

77

79

82

. f6

87

90

02 '95

5.8197 7.826

5. 8200

02

05

07

.10

13 '15

18 '

20

5. 8223

' 2825

31

33

36

38

41

43

46

5.8249 7.829

51

54

56

 59

61

64

67

69

72

5. 8274

77

80

82

85,

87

90

92

95

5. 8298

6.8300 7.832
216 GEOGRAPHIC TABLES AtfD FOKMCTLAS. . 

TABLE 22. Geodetic position computations Continued.

LATITUDE 25°.

[BULL. 234.

Lat.

o / 

25 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

; 18

19

20

21

22

23

! 24

 ' 25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0-06

8. 509 4639

36

32

29

26

23

19

16

13

09

8. 509 4606

03

8. 509 4600

8. 509 4596

93

90

86

83

80

76

8. 509 4573

70

66

63

60

56

53

50

46

43

8. 509 4540

3733 '

30

26

23

20

17

1310 '

8. 509 4507

03

8. 509 4500

8. 509 4496

93

90

86

83

80

76

8. 509 4473

70

66

63

.60

56

53

50

46

43

8. 509 4439

logB 

diff.l"=-0-16

8. 511 8881

.71

62

52

42

32

22

12

8.511 8802

8.511 8793

8. 511 8783

73

63

53

43

33

23

13

8. 511 8704

8. 511 8694

8. 511 8684

74

64

54

44

34

24

14

8. 511 8604

8.511 8594

8.511 8584

74

64

54

44

34

24

14

8.511 8504

8. 511 8494

8. 511 8484

74

64

54

44

34

24

14

8. 511 8404

8. 511 8393

8.511 8383

73

63

53

43

' 33

23

13

8. 511 8303

8. 511 8293

8.511 8283

logC 

diff.l"=-rO-5t

1. 07457

490 .

523

555

588

621

654

687

719

752

!1. 07785

817

850

883 '

915

948

1.07981

1.08013

046

078

1. 08111

143

176

208

241

273

306

338

370

403

1. 08435

468

500

532

565

597

629

662

694

726

1.08758

791

, 823

855 .

887

919

951

1. 08984

1.09016

048

1. 09080

112

144

176

208

240

272

304

336

368

1.09400 

log!) 

diff.l"=+0'03

2. 2759

61

63

66

68

70

72

74

76

78

2. 278082 '

85

87

89

91

9395 '

97

2.2799

2. 2801

03

05

07

10

12

14

16

18

20

2. 2822

24

26

28

30

32

34

3638 

40

2. 2842

44

46

48

50

52

54

56

58

60

 2. 2862

64

66

68

70

72

74

7678 '

80

2. 2882

log E ' log F 

diff.l"=+0-01 .diff.!0'=+l-5

5. 8300 7. 832

03

05

08

11

13

16

18

21

24

5. 8326

29

32

34

37

39

42

45

47

50

5.8352 7.835

55

59

60

63

66

6871 '

73

76

5. 8379

81

84

87

89

92

94

5. 8397

5.8400

02

5. 8405 7. 838

08

10

13

16

18

21

24

26

29

5. 8431

34

37 '

39

42

45

47

50

53

55

5. 8458 7. 841
OANNETT.J GEOGRAPHIC TABLES ADD FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 26°.

217

Lat.

o / 

26 00

1

2

3

4

05

6

7

8

9

TOii

VI

13

14

15

16

17

1.8

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41:

42

43

44

45

46

47

48 '

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"= -0-06

8. 509 4439

36

. 33

29

26

22

19

16

12

09

8. 509 4406

8. 509 4402

8. 509 4399

95

92

88

85

82 .

78

75

8. 509 4372

68

65

61

. 58

54

51

48

44

41

8. 509 4337

34

31

27

24

20

17

13

10

07

8.509 4303

8.609 4300

8.509 4296

93

89

' 86

83

79

76

72

8.509 4269

65

62

58

55

52

48

45

41

38

8. 509 4234

logB 

cli (?.!"= -0-17

8. 511 -8283

72

62

52

42

32

22

12

8.511 8201

8. 511 8191

8.511 8181

71

61

51

40

30

20

10

8. 511 8100

8. 611 8089

8. 511 8079

69

59

48

. 38

28

18

8. 511 8008

8. 511 7997

87

8. 511 7977

67

56

4636 

25

15

8.511 7905

8.511 7895

84

8. 511 7874

64

53

43

33

22

12

8.511 7802

8.511 7791

81

8.511 7771

60

50

40

29

19

8. 511 7709

8. 511 7698 '

88

77

8.511 7667

logC 

cliff. 1"= +0-52

1. 09400

432

464

496

527

559

591

623

655

687

1. 09718-

' 750

782

814

845

877

909

940

1.09972

1.10004

1. 10036

067

099

130

162

194

225

257

x 288

320

1. 10351

383

414

446

477

509

640

571

603

634

1.10666

697

728

760

791

822

854

885

916

947

1. 10979

1. 11010

041

072

103

134

166

197

228

259

1.11290

logD 

cliff. 1"= +0-03

2.2882

84

86

88

90

92

94

96

2. 2898

2. 2900

2. 2902

04

06

08

10

12

14

16

18

20

2.2922

23

25

27

29

31

33

35

37

. 39

2. 2941

43

45

47

48

50

52

54

56

58

2. 2960

62

63

65

67

69

71

73

75

77

2.2978

80

82

84

86

88

 89

91

93

95

2. 2997

log E log F 

diff.l"=+0-04diff.lO' = +l'3

5. 8458 7. 841 6-1

63

66

69

71

74

77

79

82

5. 8485

88

90

93

96

5. 8498

.. 5. 8501

04

06

09

5.8512 . 7.844

14

17 :

20

22

25

28

30

33

36

6. 8539

41

44

47

49

52

55

57

60

63

5.8566 7.846

68

7174 :

76

'79

82

85

87

90

5.8593

95

5.8598

1 5.8601

04

06

09

12

14

17

' 5.8620 7.849
218 GEOGRAPHIC TA53LES AND FOBMULAS. 

TABLE 22. Geodetic position computations Continued.

"[BULL. 234.

LATITUDE 27°.

Lftt.

o / 

27 00

1

2

3

4

05

6

7

8

9

10

11

12

1314 '

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

3738-

. 39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0.06

8. 509 4234

31

27

24

20

17

13 -10

06

03

8. 509 4200

8. 509 4196

93

89

86

82

79

75

72

68

8. 609 4165

61

58

54

51

47

44

40

37

33

8. 509 4130

26

23

19

16

12

08

05

8. 509 4101

8.509 4098

8.509 4094

91

87

84

80

77

73

70

66

63

8. 509 4059

56

52

49

45

41

38

.34

31

27

8.509 4024

logB 

cliff. 1"= -0.18

8.511 7667

57

46

36

25

15

8.511 7605

8.511 7594

84

73

8.511 7563

53

42

32

21

11

8.511 7500

8.511 7490

79

69

5.511 7458

48

37

27

16

8.511 7406

8.511 7395

85

74

64

8.511 7353

43

32

22

11

8.511 7301

8.511 7290

80

69

58

8. 511 7248

37

27

16

8.511 7206

8.511 7195

84

74

63

53

8.511 7142

31

21

10

8.511 7100

8.5117089

78

68

57

46

8. 511 7036

logC 

diff.l''=+0.51

.1.11290

321

352

383

414

445

476

507

538

569

1.11600

631

662

693

724

755

786

817

848

878

1. 11909

940

1. 11971

. 1. 12002

032

063

094

125

156 ,

186

1. 12217

248

278

309

340

370

401

432

462

493

1. 12523

554

584

615

646

676

707

737

768

798

1.12829

859

889

920

950

1. 12981

1.13011

041

072

102

1.13132

logD 

diff.l"=+0.03

2.. 2997

2. 2999

2.3001

03

04

06

. 08

10 12

14

2. 3015

17

19

21

23

24

26

28

30

32

2.3033

35

37

39

41

42

44

46

4860 

2.3051

53

55

57

58

60

62

64

65

67

. 2.3069

70

72

74

76

78

. 79

81

83

85

2.3086

8890 

91

93

95

97

2.3099

2.3100

02

2. 3104

logE 

diff.l"=+0.05

5. 862023"

25 .

 28

31

34

36

39

42

44

5. 8647

50

53

55

58

61

64

66

69

72 f

5. 8675

77

80

83

86

88

91

94

97

5. 8699 .

5.8702

05

08

10

13

16

19

2224'

27

6. 8730

33

. 35

38

41

44

46

49

52

55

5. 8757

60

63

66

69

72

74

77 

80

83

5.8785

logF 

diff.lO'==+l.l

7. 849

7.851

\

7.853

,

7.855
GANNETT.] G'EOGltAPHIC TABLES AND FOKMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 28°. .

Lat.

o / 

28 00

1

2

3

4

05

6

7

. 8

9

10

11

12

13

14

16

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

4647'

48 

49

50

51

52

53

54 .

55

56

57

58

59

60

log A 

diff.l"=-0.06

8.509 4024

20

17

13

10

06

8. 509 4002

. 8: 509 3999 

95

92

8.509 3988

85

81

78

74

70

67

63

60

56

8. 509 3952

49

45

42

38

35

31

27

24

20

8. 509 3917

13

09

06

8. 509 3902

8.509 3899

95

. 92

88

84

8. 509 3881

77

73

70

66

63

69

65

52

48

8. 509 3845

41

37

34

30

26

23

19

16

12

8.509 3808

log B 

.diff.l"=-0.18

8. 511 7036

25

14

8.511 7004

8.511 6993

82

72

61

50

40

8. 511 6929

18

8. 611 -6908

8. 511 6897

86

75

65

54

43

33

8.511 6822

11

8.511 6800

8.511 6790 '

79

68

57

47

36

25

8. 511 6714

8.511 6704

8. 511 6693

82

71

61

50

39

28

17

8.511 6607

8.511 6596

85

74

63

52

42

31

20

8.511 6509

8.511 6498

87

76

66

55

. 44

.33

. 22

11

8.511 6400

8.511 6389

logC 

diff.l"=+0.50

1. 13132

163

193

223

254

284

314

345

375

405

1.13435

465

496

526

556

586

616

646

677

707

1.13737

767

797

827

857

887

917

947

1. 13977

1. 14007

1. 14037

067

097

127

157

187

217

247

277

307

1.14337

366

396

426

456

486

516

545

575

605

1. 14635

664

694

724

754

783

813

843 

872

902

1.14932

logD 

d iff. 1"= +0.03

2. 3104

05

07

09

10

12

14

16 17

19

2. 3121

22

24

26

27

29

31

32

34

36.

2. 3137

39

41

42

44

46

47

49

51

 62

2.3164

56

57

59

61

62

64

66

' 67

69.

2. 3170

72

74

76

77

78

80

82

83

85

2. 3187

88

90

91

93

95

96

98

2. 3199

2. 3201

2. 3203

logE 

diff.l»=+0.05

5.8785

88

91

94

97

5.8799

5. 8802

05

08

11

5.8813

16

19

22

25

27

30

33

36

39

5. 8841

44

47

' 50

53

55

58

61

64

67

5. 8870

72

75

78

81

84

87

89

92

95

5.8898

5. 8901

04

06

09

12

15

18

21

23

5.8926

29

32

35

38

40

43

46

49

52

5.8955

log F 

diff.lO"=+1.0

7.855

7.857

7.859

7.861
220 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 22. Geodetic position computations Continued.

LATITUDE 29°.

[BULL. 234.

JLat.

.29 00

1

 2

3

4

05

6

7

8.

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

.28

29

30

31

. 32

33

34

35

36

37

38

39

40

41

42

43

. 44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

69

60

log A 

diff.l"=-0.06.

8.509 3808

05

8.509 3801

8.509 3797

94

90

86

83

79

76

8.509 3772

68

65

61

57

54

50

46

43

39

8.509 3735

32

28

24

21

17

13

10

06

8. 509 3702

 8. 509 3699

95

91

88

84

80

77

73

69

66

8.509 3662

58

 55

51

47

44

40

36

33

29

8. 509 3625

21

18

14

10

07

8. 509 3603

8. 509 3599

96

92

8. 509 3588

logB 

cliff. 1"= -0.18

8.511 6389

78

68

. 57

46

35

24.

13

8.511 6302

8.511 6291

8.511C280

69

58

47

36

26

15

8.511 6204

8.511 6193

82

8.511 6171

60

49

38

27

16

8.511 6105

8.511 6094

83

72

8.511 6061

50

39

28

17

8.511 6006

8.511 5995

84

73

61

8.511 5950

39

28

17

8.511 5906

8.511 5895

84

73

62

51

8. 511 5840

29

18

8.511 5806

8. 511 5795

84

73

62

51

40

8.511 5729

logC 

diff.l"=+0.49.

1. 14932

961

1. 14991

1. 15021

050

080

109

139

168

198

1.15228 

257

287 31'6

346

375

405

434

464

493

1.15522

 562

581

611

640

670

699

728

758

787

1. 15816

846

875

904

934

963

1.15992

1. 16021

051

080

1.16109

138

167

197

226

255

284

313

343

372

1. 16401

430

459

488

517

546

575

604

633

663

1. 16692

logD 

cliff. 1"= +0.03

2. 3203

04

06

07

09

10

12

14

15

17

2.3218

20

21

23

25

26

28

29

31

32

2. 3234

35

37

38

40

42

43

45

46

48

2. 3249

51

52

54

55

57

58

60

61

63

2. 3264

66 ' 67

69

70

72

73

75

76

78

2. 3279

81

82

84

85

87

88

90 .

91

93

2. 3294

logE 

diff..l"=+0.05

5. 8955

58

60

63

66

69

72

75

78

80

5.8983

86

89

92

95

5. 8998

5. 9000

03

06

09

5. 9012

15

18

21

23

26

29

32

35 

38

5. 9041

43

46

49

52

55

58

61

64

67

5. 9069

72

75

78

81

84

87

90

93

96

5. 9098

5.9101

04

07

10

13

16

19

22

25

5. 9127

logF 

diff.]0'=+O.S

7. 861

7.863

7. 864

7. 866
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computation.1* Continued. 

LATITUDE 30°.

221

Lat.

o / 

30 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

 15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

 10

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

Cliff. 1"= -0.06

8. 509 3588

84

81

77

73

69

66

62

58

55

8. 509 3551

47

43

40

36

32 ,

29

25

21

17

8.509 3514

10

06

8. 609 3502

8.509 3499

95

91

88

84

80

8.509 3476

72

69

65

61

' 5754

50

46

42

8. 509 3439

35

31

27

24

20

16

12

09

05

8.509 3401

8. 609 3397

94

90

86

82

78

75

71

67

8.509 3363 '

logB 

Cliff. 1"= -0.19

8. 511 5729

18

8. 511 5706

8.511 5695

84

73

62

51

40

28

8.511 5617

8.511 5606

8.511 5595

84

73

61

50

39

28

17

8.511 5505

8.511 5494 ' 83

72

61

49

38

27

16

8.511 6404

8. 511 5393

82

71

59

48

37

26

14

8. 511 5303

8.511 5292

8. 511 5281

69

58

47

35

24

13

8. 511 5202

8.511 5190

79

8. 511 5168

56

45

34

22

11

8.511 5100

8. 511 5088

77

66

8.511 5054

logC 

cliff. l"= +0.48

1.16692

721

750

778

- 807

836

865

894

923

952

1. 16981

1. 17010

039

068

097

126

155

184

212

241

1. 17270

299

328

357

385

414

443

472

500

529

1. 17558

587

615

644

673

701

730

759

788

816

1. 17845

874

902

931

959.

1. 17988

]. 18017

045

074

. 102

1. 18131

160

188

217

245

274

302

331

359

388

i: 18416

. logD 

cliff. 1"= +0.02

2. 3294

96

97

2. 3298

2. 3300

01

03

04

06

07

2. 3309

10 '

12

13

14

16

17

18

 20

22

2. 3323

24

26

27

29

30

32

33

34

36

2. 3337

39

40

41

43

44

46

47

48

50

2.3351

53

54

55

57

58

59

61

62

64

2. 3365

66

68

69

70

72

73

74

76

77

2. 3379

log E 

di(T.l";=+0.05

5. 9127

3033'

36

39

42

45

48

51

54

5. 9157

59

62

65

68

71 .

74

77

80

83

5. 9186

89

92

95

5. 9198

5. 9200

03

06

09

12

5. 9215

18

21

24

27

30

33

36

39

42

5.9245

48

51

53

56

59 - 62

65 ' 68

71

5. 9274

77

80

83

86

89

92

95

5. 9298

5.9301

5,9304

log F 

cliff. 10'= +0.7

7.866

7.867

.-

7.869

7.870
222 'GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22.. Geodetic position computations Continued. 

LATITUDE 31°.

[BULL. 234.

Lilt.

o / 

31 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

- 18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

. 39

40

 41

42

43

44

45

.46

47

48

. 49

50

51

52

5354'

55

56

. . 57

58

59

60

log A 

diff.l" = -0.06

.8. 509 3363

60

56

52

48

44

41

37

33

29

8.509 3325

22

18

14

10

06

8.509 3303

8. 509 3299

95

91

8. 509 3287

84

80

76

72

6865 *

61

57

53

8. 509 3249

46

42

38

34

30

26

23

19

15

8.509 3211

07

03

8. 509 3200

8. 509 3196

92

88

84

8177 '

8.509 3173

69

65

61

57

54

50

46

42

38

8.509 3134

logB 

diff.l"=-0.19

8.511 CJ54

43

32

20

8.511 5009

8. 511 4998

86

75

64

52

8. 511 4941

29

18

8. 511 4907-

8. 511 4895

84

72

61

50

38

8.511 482715 '

8. 511 4804

8.511 4793

81

70

58

47

35

24

8. 511 4713

8. 511 4701

8. 511 4690

 78

67

55

44

32

21

8. 511 4609

8. 511 4598

86

 75

63

52

40

29

17

8.511 4506

8.511 4494

8. 511 4483

71

60

48

37

25

14

8.511 4402

8. 511 4391

79

8.511 4368

logC 

cliff. 1"= +0.47

1.18416 445" 

473

501

530

558

587

615

643

672

1:18700

729 757'

785

813

842

870

898

927

955

1. 18983

1. 19012

040

068

096

125

153

181

209

238-

1. 19266

294

322

351

379

407

435

463

491

520

1. 19548

576

604

632

660

688

716

744

772

800

1. 19828

856

884

912

940

968

1. 19996

1. 20024

052

080

1.20108 

logD 

cliff. 1"= +0.02

2. 3379

80

81 .

83

84

. 85

87

88

89

91

2. 3392

93

95

96

97

2.3399

2. 3400

01

03

04

2. 3405

06

08

09

10

12

13

14

16

17

2. 3418

20

21

22 

23

25

. 26

27 '

29

30

 2. 3431

32

 34

35

36 '

37

39

40

41

43

2. 3444

45

46

48

49

50

51

53

54

55

2. 3456

logE 

cliff. 1"=+0.05

5.9304

07

10

13

16

19

22

25

28

31

5. 9334

37

39

42

45

48

51

54

5760-

5. 9363

66

69

72

75

78

8184 '

87

90

5. 9393

96

5. 9399

5. 9402

05

08

11

14

17

20

5. 9423

26

29

32

35

38

41

44

47

50

5. 9453

56

59

62

65

68

72

75

78

81

5. 9484

logP 

diff.lO'=+0.5

7. 870 '

7.871

7.872

7.873
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position compilations Continued. 

LATITUDE 32°.

223

Lilt.

O '

32 00

1

2

3

4

05

. G

7

8

9

10

11

12

13

14

15 16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

67

58

59

60

log A 

dirt. 1"= -0.06

8. 509 3134

31

27

23

19

15

11

07

04 .

8.509 3100

8. 509 3096

92

88

84

80

76

73

69

65

61

8.509 3057

63

49

46

42

38

34

30

26

.22

8.509 3018

15

11

07

8. 509 3003

8.509 2999

95

91

87

83

8. 509 2980

76

72

68

64

60

56

52

48

44

8.509 2940

37

33

29

25

21

17

13

09

05

8.509 2901

logB 

dirt. 1"= -0.19

8. 511 4368

56

44

33

21

8. 511 4310

8.511 4298

87

75

63

8.511 4252

40

29

17

8. 611 4205

8.511 4194

82

71

59

47

8.511 4136

24

13

8.511 4101

8. 611 4089

78

66

54

43

31

8. 511 '4020

8.511 4008

8.611 3996

85

73

61

50

38

26

15

8.511 3903

8. 611 3891

79

68

56

44

33

21

8. 511 3809

8.511 3798

8.511 3786

74

63

51

39

27

16

8.511 3704

8.511 3692

80

8.511 3669

log C 

dirt. 1"= +0.46

1.20108

136

164

192

220 -

248

276

304

332

360

]. 20387

415

443

471

499

527

555

582

610

638 .

1.20666

694

722

749

777

805

833

860

888

916

1. 20944

971

1.20999

1. 21027

054

082

110

137

165

193

1.21220

248

276 '

303-

331

358 '

386

414

441

469

1.21496

524

551

579

607

- 634

662

689

 717

744

1.21772

. log D 

dirt. 1"= +0.02

2. 3456

57

59

60

61

62

64

65

66

67

2. 3469

70

71

72

73

75

76

77

78

79

2. 348182-

83

84

85

87

88

8990 '

91

2. 3493

94

95

96

97

2. 3499

2.3500

01

02

03

2.3504

06

07

08

09

10

11

13

14

15

2. 3516

17

18

19

21

22

23

24

25

26

2.3527

log E 

dirt.l"=+0.05

5. 9484 '

87

90

93

96

5. 9499

6.9502

05

08

11

5. 9514

17

20 .

23

26

29

32

35

38

41

5. 9544

47

50

53

. 66

60

63

66

69

72

5. 9575

78

81

84

87

90

93

96

5. 9599

' 5. 9602

5.9605

08

11

35

18

21

24

27

30

33

5. 9636

39

42

45

48

51

54

68

61

64

5. 9667

log F 

dirt. 10'= +0.3

7.873

7.874

"

7.875

7.875
224 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 33°.

[BULL. 234.

Lat.

o / 

33 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35 ' 36

37

38

39

40

41

42

43

44

45

46

47

48

49 

50

51

52

53

54

55

56

57

58

59

60.

log A 

diff. 1"=-0.07

8. 509 290 L

8. 509 2897

94

90

. 86

. ' 82

78

74

70

. 66

8.509 2862

58

54

51

47

43

39

35

31

27

8. 509 2823

19

15

11

07

8.'509 2803

8.509 2799

95

91

88

8. 509 2784

80

76

72

68

64

60

56

52

48

8. 509 2744

. 40

36

32

28

24

20

16

 12

08

8. 509 2704

8. 509 2701

8. 509 2697

93

89

85

81

77

73

..69

8. 509 2665

logB 

diff. 1"= -0.20

8.511 3669

57

. 45

3322 

8. 511 3610

8.511 3598

86

75

 63

8.511 3551

39

28

. 16

. 8.511 3504

8. 511 3492

80

69

57

45

8. 511 3433

21

8. 511 3410

8.511 3398

86

74

62

51

' 39

27

8. 511 3315

8.511 3303

8.511 3291

80

68

56

44

32

20

8.511 3209

8.511 3197

85

73

61

49

 37

25

13

8.511 3102

8.511 3090

8.511 3078

66

54

42

30

18

8.511 3006

8. 511 2995

83

71

8. 511 2959 .

logC 

diff. 1"= +0.45

1.21772

799

827

854

 882

909

937

964

1.21992

1.22019

1.22047

074

101

129

156

384

211

238

266

293

1.22321

348

375

403

430

457

485

512

539

567

1.22594

621

648

676

703

730

757

785

812

839

1.22866

893

921

948

1 -22975

1. 23002

029

057

084

111

1.23138

165

192

220

247

274

301

328

355

382

1.23409

logD 

diff. 1"= +0.02

2. 3527

29

30

31

32

33

34

35

36

38

2. 3539

40

41

42

43

44

46

46

48

49

2. 3550

51

. 52

53

54

55

56

57

58

60

 2. 3561

62

63

64

65

66

67

68

69

70

2. 3571

72

73

75

76

77

78

79

80

81

2. 3582

83

84

85

86

87 88

 89

90

. 91

2. 3592

logE 

diff. 1"= +0.05

5. 9667

70

73

76

79

82

85

. 88

92

95

5. 9698

5. 9701

04

07

10

13

16

19

22

26

5. 9729

32

35

38

41,

44

47

50

53

57

5.9760

63

66

69

72

75

78

81

85

88

5. 9791

94

5. 9797

5. 9800

03

06

10

13

16

19

5. 9822

25

28

31

35

38 ' ' 41

44

47

50

5.9853

log F 

diff. 10'= +0.2

7. 875 .

7. 876

7.876

7.877 '
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 34°.

225

Lat.

o / 

34 00

1

2

3

4

05

C

7

8

9

log A 

(Jiff. 1"= -0.07

8. 509 2665

61

57

53

49

45

41

37

33

29

10 ! 8. 50!) 2625

11 i 21

12 17

13 13

.14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

68

59

60

09

05

8. 509 2601

8. 509 2597

93

89

8. 509 2585

81

77

73

69

65

61

57

53

49

8. 509 2545

41

37

33

29

25

21

17 .

13

09

8. 509 2505

8. 509 2501

8. 509 2497

93

89

85

81

77

73

69

8. 509 2465 .

61

57

53

49

45

41

37

33

29

8. 609 2425

' . logB 

diff. 1"=-0.20

8. 511 295947 '

35

23

8. 511 2911

8.511 2899

87

75

63

51

8.511 '.'840

28

16

8.511 :804

S.511 ',792

80

68

56

44

32

8.511 k720

8. 5.1 1. 2708

8. 511 2696

84

72

60

' 48

36

24

12

8.511 2600

8.511 258876 

64

52

40

28

16

8.511 2504

8.511 2492

8. 511 2480

68

56

44

32

20

8.511 2408

8. 511 2396

84

72

8.511 2360

48

35

23

8.511 2311

8. 611 2299

87

75

63

51

8.511 2239

. logC 

diff. 1"= +0.45

1.23409

437

464

491

518

545

572

599

626

653

1 . 23680

707

734

761

788

815

842

869

896

923

1. 23950

1.23977

1 . 2400 1

031

058

085

112

139

165

192

\ . 2 219

246

273

300

327

354

381

408

434

461

1. 24488

615

542

569

595

622

649 '

t)7(i

703

729

1.24756

783

810

837

863

890

917

944

970 

1. 24997

1. 26024

logD 

diff. 1"= +0.02

2. ' 359293

94

95

96

97

98

2. 3599

2.3600

01

2. 3602

03

01

06

06

07

08

09

10

n

2. 3612

13

14

15

16

17

18

19

20

21

 j. ;;. 22 

23

24

25

26

27

28

29

30

31

2. 3632

33

34

35

36

37

38

39

40

41

2. 3642

43

43

44

45

46

47

48

49

50

2.3651

logE logF 

diff.l"=+0.05 diff.lO'=+0.0

5. 9853

57

60

63

66

69

72

75

79

 82

5. 9885

88

91

94

5. 9897

5. 9901

04

07

10

13

5.9916

'2319 .

26

29

' 32

35

38 '

42

45

5. 9948

51

54

57

61

64

 67

70

73

76

5. 9980

83

86

89

92

96

5.9999

6.0002

05

08

6. 0011-

15 .

18

21

24

27

31

34

37

40

6.0043

.7.877

7.877

7.877

7.877

Bull. 234 04-
22(5 GEOGRAPHIC TABLES AND FORMULAS. [uuu..2o4.

TABLE 22.~Geodetic position computations Continued.

LATITUDE 35°.

Lat.

o /

35 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47 : 48

49

50

51

62

53

' 54

55

56

 57

68

59

60

log A 

cliff. 1"= -0.07

8. 509 2425

21

17

13

09

05

8.509 2401

8.509 2396

92 88

8.5092384

80

76

72

68

64

60

56

52

48

8. 509 2344

40

36

32

28

24

20

16

12

08

8. 509 2304

8. 509 2300

8. 509 2296

92

.87

83

79

75

71

67

8. 509 2263

59

55

51

47

43

39

35

31

27

8. 509 2222

18

14

10

06

8. 509 2202

8. 509 2198

94

90

86

8. 609 2182

logB 

diff.l"=-0.20

8.511 2239

27

15

8.511 2203

8.511 2191

78

66

54

42

30

8.511 2118

8. 511 2106

8. 511 2094

82

70

67

45

33

21

8.511 2009

8.511 1997

85

72

60

48

36

24

12

8.511 1900

8.511 1887

8..511 1875

63

51

39

27

15

8.511 1802

8.511 179078 

66

8.511 1754

41

29

17

8.511 1705

8.511 1693

80

68

56

44

8.511 1632

20

8.611 1607

8.511 1595

83

71

58

46

34

22

8.511 1510

logC 

diff.l"=+0.44

1.25024

050

077

104

131

157

184

211

237

264

1.25291

317

344

371

397

424

451

477

504

531.

1. 25557

. 584'

610

637

664

690

717

743

770

796

1.25823

850

876

903

929

956

1. 25982

1. 26009

035

062

1.26088 .

115

141

168

194

221

247

274

300

327

1.26353

380

406

432

459

 485

512

638

565

691

1.26617

logD 

diff.l"=+0.01

2. 3651 '

52

53

54

55

56

56

57

58

59

2.3660

61

62

63

64

65 66

66

67

68

2. 3669

70

71

72

73

74

75

75

76

77

2. 3678

79

80

81

82

82

83

84

85

86

2.3687

88

88

89

90

91

9293 '

94

94

2. 3695

96

9798 '

99

2.3699

2. 3700

01

02

03

2. 3704

logE 

diff.l"=+0.05

6.0043

47

50

53

56

'59

63

66

69

72

6.0075

79

82

85

88

91

95

6. 0098

6. 0101

04

6.0107

11

14

17

20

23

27

30

33

36

6. 0140

43

46

49

52

56

59

62

65

69

6. 0172

75

78

81

85

88

91

94

6. 0198

6. 0201

6. 0204

07

11

14

17

20

24

27

30

33

6. 0237

logF 

diff. 10' =-1-0.0

7.877

7.877

7.877-

7. 877 
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 30°.

227

Lat.

o /

36 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23 24

25

26

.27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

65

56

57

58

59

60

log A 

diff,l"=-0.07

8.509 2182 . 78'

74

70

65

61

57,

53

49

45

8. 509 2141

37

33

29

25

21

16

12

08

04

8.609 2100

8. 509 2096

92

88

84

80

75

71

67

63

8. 509 2059

55

51

47

43

39

35

30

26

22

8. 509 2018

14

10

06

8.609 2002

8.509 1998

93

89

85

81

8. 509 1977

73

69

65

61

56

62

48

44

40

8.609 1936

logB 

d iff. 1"= -0.20

8.511 1510

8.511 1497

85

73

61

48

36

24

8.511 1412

8.511 1399

8.511 1387

75

' 63

50

38

26

14

8.511 1301

8.611 1289

77

8.511 1265

62

40

28

15

8.611 1203

8.511 1191

79

66

54

8.511 1142-

29

17

8.511 1105

8.511 1092

80

68

56

43

31

8.511 1019

8.511 1006

8.511 0994

82

69

57

45

32

20

8.511 0908

8.511 0895

83

71

58

46

3421 '

8.511 0809

8.611 0797

84

8.611 0772

logC 

diff. 1"= +0.44

1.26617 .

644

670

697

723

749

776

802

828 '

855

1.26881

908

934.

960

1. 26987

1.27013

039

066

092

118

1.27145

171

197

223

250

276

302

329

355

381

1.27407

434

460

486

512

539

565

591

617

644

1.27670

696

722

748

775

801

827

853

879

905

1.27932

958

1.27984

1.28010

036

062

088

114

141

167

1. 28193

logD 

diff. .1"= +0.01

2. 3704 '

04

05

06

07

08

09

09

10

11

2. 3712

13

13

14

15

16

17

17

18

19

2. 3720

21

21

22

23

24

25

25

26

27

2. 3728

29

29

30

31

32

'3332

34

35

2. 3735

36

37

38

39

39

40

41

42

42

2. 3743

44

45 45

46

47

48

48

49

50

2.3750

logE 

cliff. 1"= +0.05

6.0237

40

43

46

50

53

56

69

63

66

6. 0209 *

72

70

79

82

85

89

92

95

6. 0299

6.0302

05

08

12

15

18

21

25

28

31

6. 0334

38

41

44

48

51

54

57

61

64

6. 0367

71

74

77

80

84

87

90

94

6.0397

6. 0400

03

07

10

13

17

20

23

27

30

6.0433

logF 

cliff. 10'=-0.2

7.877

7.877

7.877

7.876
228 GEOGEAPHIG TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 37°.

[BULL. 234.

Lat.

O 1

37 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

1C

17

18

19

20 '21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

' 60

log A 

diff.l"=-0.07

8.509 1936

32

28

23

19

15

11

07

85.09 1503

85. 09 1899

8. 509 1895

90

86

82

78

74

70

66

62

57

8.509 1853

49

45

41

37

33

 28

24

20

16

8. 509 1812

08

04

8.509 1800

8. 509 1795

91

87

83

79 x

75

8.509 177.1.

66

62

58

54

50

46

41

37

33

8. 509 1729

25

21

16

12

08

04

8.509 1700

8. 509 1696

92

8.509 1687

logB 

diff.l"= 0.21

8.511 0772

60

47

35

22

8. 511 0710

8.511 0698

85

73

61

8. 511 0648

36

23

8. 511 0611

8.511 0599

86

 74

61

49

37

8.511 052412-

8. 611 0500

8.511 0487

75

62

50

37

25

13

8.51.1 0400

8. 511 0388

75

63

51

.38

26

13

8.511 0301

8.511 0288

8.511 0276

64

51

39

26

14'

8.511 0201

8.511 0189

76

64

8.511 0151'

39

26

14

8.51.1 0102

8.511 0089

77

64

52

39

8.511 0027

logC 

diffi.l"=+0.43

1.2815(3

219

245

. .271

297

324

350

376

402

428

1. 28454

480

506

532

558

584.

610

636

662

688

1.28715-

741

767

793

819

'845 

871

897

923

949

1. 28975

1. 29001

027

053

079

104

130

156

182

208

1.29234

260

 286

312

338

364

390

416 '

442

468

1.29494

520

546

571

597

623

649

676

701

727

1.29753

logD 

diff.l"=+0.01

2. 3750

51

52

53

53 ,

54

55

56

56

57.

2. 3758

59

59

60

01

61

62

63

73

64

2. 3765

66

66

67 

68

68

69

70

70

71

2. 3772

72

73

'7474

75

76

76

77

78

2. 3779

79

80

81

81

82

82

83

84

84

2. 3785

86

' 86

87

88

' 88

89

90

90

91

2. 3792

logE 

difl.l"=+0.06

6. 0433

37

40

43

46

5053'

56

60

63

6. 0466

70

73

76

SO

83

86

89

93

96

6. 0-199

6. 0503

06

09

13

16

19

23

26

29

6. 0533

36

39

43

46

49

53

56

59

63

6. 0566

69

73

76

79

83

86

89

93

^ 6. 0596

6. 0600

03

06

10

13

16

20

23

26

30

6. 0633

log. F 

,diff,10'=-Q,3

7.876

7.876

7.875

7.874
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position compulations Continued. 

LATITUDE 38°.

229

Lat.

0 /

38 00

1

2

3

4

05

6

7

i 8

9

10

11

12

13

14

1 15

16

; 17

18

19

20

: 21

22

23

24

i 25

26

' 27

28

29

30

31

' 32

33

34

35

36

37

38

39

 10

41

42 1 43

44

4546-

47

48

49

50

61

52

53

64

65

: 66

57

58

: 59

60

log A 

diff.l"=-0.07

8. 509 1687

. 83

79

75

71.

67

62

68

64

60

8.509 1646

42

37

33

29

25

21

17

12

08

8. 509 1604

8. 509 1600

8. 509 1596

92

87

83

79

75

71

66

8. 509 1562

58

54

50

46

.41

37

33

29

05

8. 509 1521

16

12

08

04

8. 509 1500

8.509 1495

91

87

83

8.509 1479

75

70

66

62

58

63

,49

45

41

8.509 1437

logB 

cliff. 1"= -0.21

8. 511 0027

14

8. 511 0002

8. 510 9989

77

64

52

39

27

14

8.510 9902

8.510 9889

77

64

52

39

27

14

8. 510 9802

8. 510 9789

8. 510 9777

64

52

39

27

14

8. 510 9701

8. 510 9689

77

64

8.510 9G52

39

27

14

8. 510 9601

8.510 9589

70

64

51.

39

8.510 9520

14

8. 510 9501

8. 51.0 9488

76

03

51

38

26

13

8.510 9401

8. 510 9388

76

63

50

38

25

13

8. 610 9300

8. 610 9287

8.510 9275

'logC 

diff.l"=+0.43

1. 29753

778

804

830

856

882

908

934

959

1.29985

1.30011

037

063

089

114

140

160

192

218

243

1.30209

295

321

347

372

398

424

450

470

501

1. 30527

553

579

004

030

056

082

707

733

759

1.30785

810

830

802

887

913

939

905

1. 30990

1. 31016

1. 31042

067

093

119

144

170

196

221

247

273

1. 31299

logD 

diff.l"=+0.01

2. 3792

92

93

93

94

95

95

96

97

97

2. 379S

2. 3799

2. 3800

00

01

01

02

02

03

03

2. 3804

05

05

00

00

07

08

08

09

09

2.3810

11

1.1

12

12

13

14

14

15

15

2.3810

1C

17

18

18

19

19

20

20

21

2. 3822

22

23

23

24

24

25

25

26

27

2. 3827

log E 

diff.l"=+0.06

6. 0633

36

40

43

47

50

53

57

CO

03

0. 0007

70

73

77

80

84

87

90

94

f>. 0097

0. 0701

04

07

11

14

17

21

24

28

31

0. 0734

38

41.

44

48

51.

55

58

01

05

(1. 0768

72

75

78

82

85

89

92

95

0. 0799

(i. 0802

00

09

13

10

19

23

20

30

33

6.0836

log F 

cliff. 10'=-0.4

7. 874

7.874

7.873

7. 872
230 GEOGRAPHIC TABLES -AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

L'ATITUDE 39°.

[BULL. 234.

Lait.

O 1

39 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

58

54

55

56

67

58

59

60

log A 

diff.l"=-0.07

8. 509 1437

33

28

24

20

16

12

07

8.509 1403

8.509 1399

8.509 1395

91

86

82

78

74

70

65

61

57

8.509 1353

49

44

40

36

' 32

28

23

19

15

8.509 1311

07

8. 509 1302

8. 509 1298

94

90

86

81

77

73

8. 509 1269

64

60

56

52

48

43

39

35

31

8.509 1227

22

18

14

10

06

8.509 1201

8. 509 1197

93

89

8.609 1184

logB 

diff.l"=-0.21

8. 510 9275

62

50

37

25

8. 510 9212

8.510 9199 ' 87

74

62

8. 510 9149

36

24

8. 510 9111

8.5109098

86

73

61

48

36

8. 510 9023

8.510 9010

8. 510 8998

85

73

60

47

35

22

8.510 8909

8. 510 8897

84

72

59

 "46

34

21

8. 510 8808

8. 510 8796

83

8. 510 8771

5845'

33

20

8. 510 8707

8. 510 8695

82

69

57

8.510 8644

31

19

8.610 8606

8. 510 8593

81

68

55

43

30

8. 610 8517

.logC 

diff.l"=+0.43

1. 31299

324

350

375

401

427

452

478

504

529

1. 31555

581

606.

632

658

683

709

734

760

786

1.31811

837

862

888

913

939

965

1. 31990

1. 32016

041

1.32067

. 092

118

144

. 169

'195

220

246

271

297

1. 32323

348

374

399

425.

450

476

501

527

552

1. 32578

603

629

654

680

705

731

756

782

807

1.32833

logD 

difl.l"=+0.01

2. 3827

28

28

29

29

30

30

31

31

32

2. 3832

33

33

34

35

35

36

36

37

37

2.3838

38

39

39

40

40

41

41

42

42

2. 3843

43

44

44

45

45

46

46

47

47

2. 3848

48

49

49

50

50

51

51

52

52

2. 3852

53

53

54

.54

5555 '

56

56

57

2.3857

logE 

diff.l"=+0.06

6.0836

40

43

47

50

53

57

60

64

67

6. 0871

74

77

81

84

8891'

95

. 6.0898

6.0902

.6.0905

08

12

15

19

22

26

29

32

36

6. 0939

43

46

50

53

57

60

63

67

70

6. 0974

77

81

84

88

91

95

6. 0998

6.1002

05

6. 1008

12

15

19

22

26

29

33

36"40

6.1043

logF 

diff.lO' = -0.5

7.872

7.871

7.870

7.869
GANNKTT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 40°.

281

Lat.

o / 

JO 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

. 68

59

60

log A 

diff.l"=-0.07

8. 509 1184

80

76

72

67

63

59

55

60

46

8. 509 1142

38

34

29

25

21

17

12

08

04

8.509 1100

8.509 1096

91

87

83

79

7470"

66

62

8.509 1067

53

49

45

41

36

32

28

24

19

 8.509 1015

1107'

8.509 1002

8. 509 0998

94

90

85

81

77

8. 509 0973

68

64

, 60

56

52

47

43

39

34

8.609 0930

logB 

diff.l"=-0.21

8. 510 8517

8.5108505

8. 510 8492

79

67

54

41

29

16

8. 510 8403

8. 510 8391

78 ' 65

53

40

27

15

8.510 8302

8. 510 8289

77

8. 510 8264

51 ' 38

26

13

8.5108200

8. 510 8188

75

62

50

8.510 8137

24

8.510 8111

8. 510 8099

86

73

61

48

35

23

 8.5108010

8. 510 7997

84

72

59

46

33 21

8. 510 7908

8.510 7895

8.510 7883

70

57

44

32

19

8. 510 7806

8. 510 7793

81

68

8.510 7765

logC 

diff.l"=+0.42

1.32833

858

884

909

935

960

1.32986 

1.33011

037

062

1.33088

113

139

164

189

215

240

266

291

317

1 . 33342

368

393

418

444

. 469

495

520

546

571

- 1. 33596

622

647

673

698

723

749

774

800

825

1.33850

876

901

926

952

1. 33977

1. 34003

028

053

079

1.34104

129

155

180

206

231

256

282

307

332

1.34358

logD 

diff.l"=+0.01

2.3857 '58

68

58

59

59

60

60

60

61

2. 3861

62

62

63

63

64

64

65

65

65

2. 3866

66

67

67

68

68

68

69

69

70

2.3870

70

71.

71

72

72

72

73

73

74

2. 3874

74

75

75

76

76

76

77

77

77

2.3878

78

79

79

79

 80

80

80

81

81

2.3882

logE 

d iff. 1"=+0.06

6.1043

47

50

54

67

61

64

67

71

74

6. 1078

81

86

88

.92

95

6. 1099 .

6.1102

06

09

6. 1113

16

20

23

27

30

34

37

41

44

6.1148

51

55

68

62

.'. 65

69

72

76

79

6. 1183

86

90

93

6. 1197

6.1200

04

07

11

15

6. 1218

22

.26

29

32

36

39

43

46

50

6.1253

logF 

dif!.10'=-0.7

7.869

7.867

7.866 '

7.864
232 GEOGRAPHIC TABLES AND FORMULAS.

1 TABLE 22. Geodetic position computations Continued.

[BULL. 234.

LATITUDE

Lat...

o / 

' 41 00

, ' 1

: 2

! 3

i 4

05

1 6

i ' 7

8

 i 0J

 10

! , 11

; 12

13

14

i 15

i 16

: 17

' 18

: 19

 20

21

: . 22

! 23

i 24

25

! 26 ; 27

' 28

i 29

j 30

31

32

33

34

36

36

37

! 38

; 39

i 40

41

42

; 43

! 44

: 45

46

47

48

i 49

; 50

51

52

53

54

55

66

57

58

59

60 '

log A 

diff.l"=-0.07

8. 509 0930 ' 26

22 ' 18

: 13

.09

05

8. C09 0900

8. 509 0896

92

8.509 0888

. 83 79

75

71

67

62

58

 54

49

8. 509 0845

41

37

32

28

24

20

15

11

07

8. 509 0803

8. 509 0798' '94

90

 . 86

81

77

73

69

64

8.509 0760

56

52 47

43

39

35

30

26

22

8.509 071813- 

09

05

8.509 0700

8. 509 0696 '92

i"88

:83 79

8.5090675

logB 

diff.l"=-0.21

8. 510 7755

42

30

17

. 8. 510 7704

8.510 7691

79

66

53

40

8.510 7628

15

8. 510 7602

8. 510 7590

64

51

39

26

13

8. 510 7500

8. 510 7488

75

62

49

36

24

8. 51.0 7411

8. 510 7398

85

8. 510 7373

60

47

34

22

8.510 7309

8. 510 7296 '83

70

58

8.510 7245

32

19

8. 510 7207

8.510 7194

81

C8

55

43

30

8.510 7117

8. 510 7104 

8.510 7091

79 66

53

40 27

:15

8- BIO 7002

8. 510 6989

logC 

diff.l"=+0.42

1.34358

383

408

434

459

484 510-

535

560

586

1.34611

636

662

687

712

738

763

788

814

839

1 1.34864

890

915

940

965

1.34991

1. 35016

041

066

092

1.35117

142

168

193

218.

243

269

294

319

345

1.35370

395

420

446.

471

496

522

547 

672

597

1.35623

648 -

673

698

723

749

774 799-

824-'

850'

1.35875

logD 

diff.l"=+0.01

2. 3882

82

8283 

83

83

84

84

84

85

2.3885'

85

86.

86

87

87

87

88

88

88

2. 3889

89

89

90

90

90

91

91

91 '91

2.389292 '

92

93

93

93

94

94

94

95

2. 3895

95

96

96 '

96

97

97

. 97

97

98

2.389898 '

.98

99

99

2.3899

2.3900 oo 

1 OO"

00

2.3901

log E log F 

diff.l"=+0.06 diff.lO'=-0.8

6.1253 7.861 57 '

60 !

64 : .

67 ;. .

71 : 75 ;

78 j

82

85 - i

6.1289

92

96

6. 1299

6.1303

06

10

14

17

21

6.1324 7.863

28

31

35

38

42

. 46

49

53

56

6.1360

63

67

.70

74

78

81 85

"88 !

92 .

6. 1395 . 7. 861

' 0.1399

6. 1403 '

06

10

13

17

20

24

28

(i. 1431

35

38

42

. 46 .

49

..53

. ; 56

 60

 63

6. 1467 7. aoo
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 42°.

233

Lat.

o / 

-12 00

 1

2

3 ' 4

05 1 6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

68

59

60

log A 

diff.l"=-0.07

8.509 0675

71

66

62

58

54

49

45

41

36

8. 509 0632

28

24

 19

15

11

07

8. 509 0602

8. 509 0598

94

8. 509 0590

85

81

77

72

68

64

60

55

51

8. 509 0547

43

38

34

30

25 '

21

17

13

08

8.5090504

8. 509 0500

8. 509 0496

91

87

83

78

74

70

66

8. 509 0461

57

63

48

44

40

36

31

27

23

8. 509 0419

logB 

diff.l"=-0.21

8. 510 6989

76

64

51

38

25

12

8. 510 6900

8. 510 6887

74

 8. 510 6861 ' 48

36

23

8.510 6810

8.510 6797

84

72

59

46

8. 510 6733

20

8. 510 6707

8. 610 6695

82

69

56

43

31

18

8. 510 6605

8.510 6592

79

66

54

41

28

15

8. 510 6502

8.510 6490

8.5.10 6477

64

61 '38

25

13

8.510 6400

8.510 6387

74

61

' 8.510 6348

36

23

8. 510 6310

8.51.0 6297,

84

71

59

46

33

8.510 6220

logC 

diff.l"=+0.42

1. 35875

900

925

951

1-35976

1. 36001 026*

052

077

102

1.36127

152

178

203

228

253

278

304

329

354

1.36379

404

430

455

480

505

630

556

581

606

1.30631

. 656

682

707

732

757

782

808

833

858

1.36883

908

934

959

1.36984

1.37009

 034

059

085

110

1.37135

160

185

210

235

261

286

311

336

361

1. 37386

log 1) 

di«.l"=+0.00

2. 3901

01

01

01

02

02

02

03

03

03

2.3903

04

04

04

04

05

05

05

05

06

2. 3906

06

06

07

07

07

07

08

08

08

2. 3908

08

09

09

09

09

10

10

10

10 .

2. 3910

11

11

11

11

12

12

12

12

12

2. 3913

13

13

13

13

14

14

14

14

14

2. 3914

log E 

diff.l"=+0.06

6. 1467

71

74

78

81

85

89

92

96

6. 1499

6.1503

07

10

14

17

21

25

28

32

35

6. 1539

43

46

50

64

57

61

64

68

72

0. 1575

79

83

86

90

93

6. 1597

6.1601

04

08

6.1012

15

19

22

26

30

33

37

41

44

0. 1648

52

55

59

63

66

70

73 : 77

81

6. 1684"

logF 

diff.lO'=-0.9

7i 860

* 7.858

-

7.856

7.854
234 GEOGRAPHIC TABLES AND FORMULAS.

TABLE "22. Geodetic position computations Continued.

LATITUDE 43°.

[BULL. 234.

Lat.

0 /

43 00

1

2

- 3

4

05

6 .

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

.31

 32

33

34

35

36

37

38

39

40 '

41

42

43

44

45

46

47

48

49

50

51

52

53

54

6&

56

67

58

59

60

log A 

aiff.l"=-0.07

8.509 0419

14

10

06

8. 509 0401

8. 509 0397

93

' 8489

80

8. 509 0376

71

67

' 5963

54

50

46

41

37

f

8.509 0333

29

24

20

16

12

07

8. 509 0303

8. 509 0299

94

8. 509 0290

86

82

77

73

' 69

64

60

56

52

8. 509 0247

43

39

34

30

26

22

17

13 .

09

8. 509 0204

 8.5090200

8. 509 0196

92

87

x 83

79

74

 70

66

8.509 0162

logB 

diff.l"=-0.21

8. 510 6220

8. 510 6207

8. 510 6195

82

69

56

43

30

17

8. 510 6105

8.510 6092

79

66

53

40

28

15

8. 510 6002

8. 510 5989

76

8.510 5963

50

38

25

8. 510 5912

8. 510 5899

86

73

60

48

8. 510 5835

22

8. 510 5809

8. 510 5796

83

71

58

45

32

19

8. 510 5706

8. 510 5693

81

68

65

42

29

16

8.5105603

8. 510 5591

8.510 5578

65

52

39

26

13

8.510 5501

8. 510 5488

75

62

8. 510 5449

logC 

diff.l"=+0.42

1. 37386

412

437

462

487

812

537

563

 588

613

1.37638

663

' 688

713

739

764

789

814

839

864

1.37889

915

940

965

1.37990

1. 38015

040

065

091

116

1.38141

166

191

216

241

266

292

317

342

367

1.38392

417

442

467

492

518

543

568

593

618

1.38643

668

693

719

744

769

794

819

844 869'

1.38894

logD 

diff.l"=+0.00

2. 3914

15

15

15

15

15

16

16

16

16

2. 3916

1617 '

17

17

17

17

17

18

18

2. 3918

18

18

18

18

19

19

19

19

19

2. 3919

20

20

20

20

20

20

20

20

21

2. 3921

21

21

21

21

21

21

22

22

22

2.3922

22

22

22

22

22

H3

23

23

23

2,3923

logE 

diff.l"=+0.06

6. 1684

88

92

95

6. 1699

6. 1703

06

10

14

17

6. 1721

25

28

32

36

39

43

47

50

54

6. 1758

61

65

69

72

76

80

83

87

91

6. 1795

6. 1798

 6. 1802

06

09

13

17

20

24

28

6. 1831

35

39

42

, 46

50

53

57

61

65

f>. 1868

72

76

79

83

87

91

94

6. 1898

6.1902

6.1905

logF 

diff.lO' = -1.0

7.854

7.852

7.850

7.848
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position compulations Continued.

LATITUDE 44°.

235

Lat.

o /

44 00

1

2

3

4

05 ' 6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

 42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff. 1"=-^0.07

8. 509 0162

57

5349 '

44

40

36

31

27

23

8. 509 0119

' 14

10

06

8.509 0102

8. 509 0097

93

89

84

80 .

8.509 0076

72

67

63

59

54

60

46

42

.37

8. 509 0033

29

24

20

16

11

07

8. 509 0003

8. 508 9999

94

8. 508 9990

86

81

77

73

69

64

60

56

51

8. 508 9947

43

39

34

30

26

21

17

13

09

8.508 9904

logB 

diff. l'"=-0.21 diff

8. 510 5449

36

23

8. 510 5411

8. 610 5398

85

72

59

46

33

8. 510 5320

8. 510 5307

8. 510 5295

82

69

56

43

30

18

8. 510 5205

8.510 6192

79

66

53

40

28

15

8.510 5102

8. 510 6089

76

8. 510 5063

50

37

25

8.510 6012

8.510 4999

86

73

60

47

8. 510 4935

22

8.510 4909

8. 510 4896

83

70

57

44

32

19

8. 510 4806

8. 510 4793

80

67

64

41

29

16

8. 510 4703

8. 510 4690

8. 510 4677

logC 

1" = +0.42

1.38894

919

945

970

1. 38995

1.39020

045

070

095

120

1.39145

171

196

221

246

271

296

321

346

371

1 . 39396

422

447

472

497

522

547

572

597

623

1.39648

673

698

723

748

773

798

823 848

873

1.39898

924

949

974

1.39999

1. 40024

049

074

099

124

1.40149

174

200

225

250 -

275

300

325

350

375

1.40400

logD 

diff. 1"= +0.00

2.3923

23

23

23

23

23

24

24

24

24

2. 3924

24

24

24

24

24

24

24

24

25

2.3925

25

25

25

25

25

25

25

25

25

2. 3925

25

25

25

25

25

26

26

26

26

2.3926

26

. 26

26

26

26

26

26

26

26

2. 3926

26

26

26

26

26

26

26

26

26

2. 3926

log E log F 

diff. 1"=+0.06 diff. 10' =1.2

6.1905 7.848

09

13

17

20

24

28

31

35

39

6. 1943

46

50

54

58

61

65

69

72

76

6.1980 7.845

84

87

91

95

6. 1999

6.2002

06

10

14

6. 2017

21

25

29

32

36

40

44

47

51

6.2055 7.843

59

62

66

70

74

77

81

85

89

6.2092

6.2096

6.2100

04

08

11

15

19

23

27

6. 2130 7. 840
236 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

[BULL. 234.

LATITUDE 45°.

Lat.

: o /

45 00

! 1

2 ' ' 3.

 4

: 05

i S

| 7

i 8

i 9

! 1011

12

' 13

i "

15

1 16

17

18

19

' 20

21

22

23

24

25

26

27

28

29

30

31

32

33

: 34

35

! 36

37

38

: 39

40

i 41

42

; 43

44

45

46

47

48

49

50

51 .52'

53

54

55

1 56

i 57

i 58

: 59

GO

log A 

diff.l",s=-0.0'

8. 508 9904 '

8. 508 9900

. 8. 508 9896

91

87

83

78

74

70

G6

8.508 9861

57

53

48

44

40

36

31

27

23

8. 508 9818

 14

10

06

8. 508 9801

8. 508 9797

93

88

84

80

8. 508 9776

71 '67

63 '58

54

50

46

41

37

8. 50S 9733

28

24

20 '16

11

07.

8.508 9703

8.5089698

94

8. 508 9689

85 '81

77'

72

68.

64

60

' 55

51

8.508 9647

logB 

r diff.l"=-0.21

8.510 4677

64

51

39 '26

.-> . 13

8. 510 4600

8. 510 4587

74

61

8.510 4548

36

23

8. 510 4510

8.510 4497

84

.71

:59 -46

33

8. 510 4420

8. 510 4407

8. 510 4394

81

68

56

43

30

17

8. 510 4304

8.510 4291

78

65

52

40

27

14

8.610 4201

8.510 4188

75

S.510 416249 '37

24

8.510 4111

8.510 4098

85

72

60

47

8.510 4034 ' 21

8.5104008

8. 510 3995

82

69

57

44

31

18

8. 510 3905

log C 

cliff. 1"=+0.42

1.40400

425

450

475

501

526

551

576

601

626

. 1.40651

676

701

.727

752

777

802

827

852

877

1.40902

927

952

1. 40978

1.41003

028

053

078

103

128

1.41153

178

203

229

254

279

304

329

354

379

1.41404

429 '

454

479

505

530

555

580

605

630

1.41655

680

705

731

750

781

806

831

856

881

1. 41906

log D 

cliff. 1"= ±0.00

2. 3926 ' 26

26

26

26

26

26

26

26

26

2. 3926

26

26

26

26

26

26

26

26 '26

2. 3926

26

26

26 '

26

26

26

26

"26 26

2. 3926

26

26

26

26

26

25

25 25

25

2. 3925 .

25 "

25

2525 -' 

25

25

25

. 25

-.25

2. 3925

 25

25

25

24

.24

24

24

. ' '24

2.3924

log E log P 

diff. 1"=+0.06 diff.lO'=^1.3

6.2130 .- . 7.840 34 - '

38

42

46

49

53 .

57

61

64

6.2168

72

76

80

83

'87

91

95

6. 2199 :

6. 2202

0. 2206 7. 838

10

14

18

21

25

29

33

37

40

6. 2244

48

52

56

' 60 '

63

67

71

75

79

6.2283 -.7.835

86

90

94

 -. C.2298

6.2302f.

06

09

13

17

G. 2321

25

29

32

 36

40

44

48

52 j

55 |

6. 2359 i 7. 832
GANNKTT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLM 22. Geodetic position computations Continued. 

LATITUDE 40°.

237

Lat.

o / 

<IO ' 00

1

2

3

4

05

0

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

' 25

.26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

. 54

55

56

57

58

59

60

log A 

diff.l"= 0.07

8. 508 9047 '

. 43

38

34

30

'. '25

21

17

' 1308

8.508 9004

8. 508 9000

8.508 9595

91

87

83

78

74

7005 '

8. 508 1)501

57

53

48

44

40

35

31

27

23

8. 508 9518

14

10

05

8.508 9501

8.508 9497

93

88

84

80

8. 508 9475

71

07

63

58

54

50

45

41

37

8. 508 9433

28

24

20

10

11

07

8. 608 9403

8. 508 9398

94

. 8. 508 9390

logB 

difT.l"=-0.21

8.510 3905

8.510 3892

79

67

54

41 28

15

8. 51.0 3802

8. 510 3789

8.510 3770

64

51

38

25

8.510 37.12

8. 510 3099

80

74

01.

8.510 HO-18

35

22

8. 510 3609

8. 510 3590

84

71

58

45

32.

8. 510 3519

8. 510 3500

8. 510 3494

81

08

55

42

.29

17

8. 510 3404

8.510 3391

78

05

52

 39

27

14

8.610 3301

8. 510 3288

 75

8. 510 3262

49

37

24

8.510 3211

8.510 3198

85

72

CO

47

8. 510 3134

logC 

diff.l"=+0.42

1.41906

931

957

1.41982 .

1.42007

032

057

082

107

132

1.42157

183

208

233

258

2S3

308

333

358

384

1.42409

434

459

484

509

534

559

584

610

635

1. 42000

085

710

735

700

786

811

836

861

886

1.42911

936

961

1. 42987

1. 43012

037

062

087 .

112

137

1.43163

188

213

238

263

288

314

339

364

389

1.43414

logD 

diff . 1"= -0.00

2. 3924

24

24

24

24

24

23

23

23

23

2. 3923

23

23

23

23

23

23

22

22

22

2. 3922

22

22

22

. 22

22

21

21

21

21

2. 3921

21

21

21

20

20

20

20

20

20

2. 3920

19

19

19

19

19

19

19

18

18

2. 3918

18

18

18

18

 17

17

17

17

17

2. 3917 .

log E log F 

diff.l"=+O.OG diff.lO'=-1.4

6.2359 . 7.832

63

67

71

75

79

82

86

90

94

(5. 2398

6. 2402

06

09

13

' 17

21

25

29

33

0.2430 7.830 .

40

44

48

52

56

00

64

67

71

6.2475

79 

83

87

91

95 .

0. 2499

6.2502

06

10

0. 2514 7. 827

18

22

26

30

34

38

41

45

49

6.2553

57

61

65

69

73

77

81

84

88

6. 2592 7. 824
238 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 47°.

[BULL. 234.

Lat.

o / 

47 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

.22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42 v

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff. 1"=-0.07

8. 508 9390

86

81

77

73

68

64

60

56

51

8.508 9347

43

38

34

30

26

21

17

13

09

8. 508 9304

8. 508 9300

8. 508 9296

91

87

83

79

74

70

66

8. 508 9261

57

53

49

. 44

40

36

32

27

23

8. 508 9219

14

10

06

8. 508 9202

8. 508 9197

93

89

84

80

8. 508 9176

 72

67

63

59

55

50

46

42

38

8. 508 9133

logB 

diff. 1"= -0.21

8. 510 3134

21

8. 510 3108

8. 510 3095

82

70

57

44

31

18

8. 510 3005

8. 510 2993

80

67

54

41

28

16

8. 610 2903

8. 510 2890

8. 510 2877

64

51

39

26

13

8.510 2800

8. 510 2787

74

62

8. 510 2749

36

23

8.510 2710

8.510 2698

85

72

59

46

33

8. 510 2621

8.510 2608

8. 510 2595

82

69

57

44

31

18

8.510 2505

8.510 2493

80

67

54

41

28

16

8. 510 2403

8. 510 2390

77

8. 510 2364

logC 

diff. 1"= +0.42

1. 43414

439

465

490

515

540

665

590

615

641

1.43666

691

716

741

766

792

817

842

867

892

1.43917

943

968

1.43993

1. 44018

043

069

094

119

144

1. 44169

195

220

245

270

295

321

346

371

396

1.44421

447

472

497

522

547

573

598

623

648

1.44673

699

724

749

774

800

825

850

875

900

1.44926

logD 

diff. 1"= -0.00

2. 3917

16

16

16

16

16

16

15

15

16

2.3915

15

14

1414 '

14- -

14

13

13

13

2. 3913

13

12

12

12

12

12

11

11

11

2. 3911

11

10

10

10

10

10

09

09

09

2.3909

08

08

08

08

07

07

07

07

07

2. 3906

06

06

06

05

' 05

05

04

04

2.3904

logE 

diff. 1"= +0.07

6.2592

6. 2596

6.2600

04

08

12

16

20

24

28

6. 2632

35

39

43

47

51

55

59

63

67

6. 2671

75

79

83

87

91

95

6.2699

6. 2702

06

6. 2710

14

18

22

26

30

34

38

42

46

6. 275054 '

58

62

66

70

74

78

82

86

6. 2790

94

6. 2798

6.2802

06

10

14

18

22

26

6.2830

logF 

diff.lO'=~1.6,

7.824;'

7.821

7.817

-.

7.814
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 48°.

239

 Lat.

o / 

48 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

1C

17

18

19

20

21

22

23

24

'25

26

27

28

29

30

31

32

33

34

35 36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

69

60

log A 

diff.l"=-0.07

8. 508 9133

29

25

20

16

12

08

8. 508 9103

8. 508 9099

95

8. 508 9091

86

82

78

?4

69

65

61

57

52

8.508 9048

44

39

35

31

27

22

18

14

10

8. 508 9005

8. 508 9001

8. 508 8997

93

88

84

80

76

71

67

8. 508 8963

59 .

54

50

46

41

37

33

29

24

8. 508 892016 

12

08

8. 508 8903

8. 508 8899

95

90

86

82

8. 508 8878

logB 

diff.l"=-0.21

8. 510 2364

52

39

26

13

8. 510 2300

8. 510 2288

75

62

49

8. 510 2236

24

8. 510 2211

8.510 2198

85

72

60

47

34

21

8.5102108

8. 510 2096

83

70

57

45

32

19

8. 510 2006

8.510 1993

8.510 1981

68

55

42

30

17

8.510 1904

8.510 1891

78

66

8.510 1853

40

27

15

8.510 1802

8. 510 1789

76

64

51

38

8.510 1725

13

8.510 1700

. 8.510 1687

74

62

49

36

23

8.510 1610

8. 510 1598

logC 

diff.l"=+0.42

1.44926

951

1.44976

1.45001

027

052

077

102

128

153

1.45178

203

229

254

279

. 304

330

355

380

406

1.45431

456

481

507

532

557

582

608

633

658

1. -15683 '

709

734

759

785

810

835

861

886

911

1. 45937

962

1.45987

1.46012

038

063

088

114

139

164

1.46190

215

240

266

291

316

342

367

392

418

1.46443

logD 

diff.l"=-0.00

2. 3904

04

03

03

03 .

02

02

02

02

01

2. 3901

01

01

00

00

2. 3900

2. 389999 '

99

99

2. 3898

98

98

97

97

97

97

96

96

96

2. 3895

95

95

. 95

94

94

94

93

93

93

2. 3892

92

92

91

91

91

90

90

90

89

2. 3889

89

8888"

88

87

87

87

86

86

2. 3886

logE 

diff.l"=+0.07

6. 2830

34

38

42

46

'50

54

58

62

66

6. 2870

74

' 78

82

86

90

94

6.2898

6. 2902

06

6.2910

14

18

22

26

30

34

38

42

46

6. 2950

54

58

62

66

70

74

78

82

86

6.2990

94

6.2998

6. 3002

06

10

15

19

23

27

6. 3031

35

39

43

47

51

55

59

63

67

6.3071

logF 

diff. 10'=- 1.7

7.814

7.811

7.807

7.804
240 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234. 

TABLE 22. Geodetic position computations Continued.

LATITUDE 49°.

Lat.

o /

49 00

1

2

3

4

05'

6

 7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

4849'

50

61

52

53

54.

55

56

67

58

59

60

log A 

diff.l"--0.07

8.508 8878

73

69

65

61

'5257

48

44

39

8.508 8835 

31 27

23

18

14

.10

06

8. 508 8801

8. 508 8797

8. 508 8793

89

84

80

76

72

67

63

59

55

8. 508 8750

46

42

38

33

29

25

21

16

12

8. 508 8708

04

8. 508 8700

8.508 869591'

87

83

78

74

70

8. 508 8666

61

57

53

4tt

45

40

36

32

28

8. 508 8623

JogB 

diff.l"--0.2l

8.510 1598

85 ' 72-

59

47

34

21

8. 510 1508

8. 510 1496

83

8.510 1470

58

45

32

19

8.510 1407

8.510 1394

81.

68

56

8.510 1343

30

17

8. 510 1305

8.510 1292

79 -

67

54

41

28

8.510 1216

8.510 1203

8.510 1190

78

65

52

39

27

14

8.510 1101

8.510 1088

76

03

50

38

25

12

8.510 1000

8. 510 0987

. 74

8.510 0962

49

30

23

-S. 61 0 001 1

8.510 OS9»

85

73

60

48

8. 510 0835

logC 

diff.l"=+0.42 did

1.46443

468

494

519 .

544

570

595

621

646

671

1 . 46696

722

747

773

798

824

849

874

899

925

1 . 40950

1 . 46976

1 . 47001

026

052

077

103

128

153

179

1.47204

230

255

281

306

331

357

382

408

433

1.47459

484 50'J

535

560

586

611

637

662

688

1.47713

738

764

789

SI 5

840

866

' 891

917

942

1.47968

logD 

.1"- -0.01

2. 3886 .

85

85

85

84

84

84

83

83

83

2. 3882

82

81.

81

81

80

80

80

79

79

2. 3878

78

78

77

77

77

76

76

75

75

' 2. 3875 -

74

74

73

73

73

72

72

71

71

2. 3S71

70

70

69

69

09

. 08

08

07

07

2. 3860

66

06

05

00

64

64

03

63

63

2. 3862

log E log F 

diff.l"=+0.07 diff.lO'= -1.9

6.J071 . 7.804

75 ' 79

84 88 ;

92

6. 3096

0.3100

04

08

0.3112

16

20

,2-1

28

32

37

41

45

49

0.3153 7.800- 

57

61

05

69

73

78

82

86

90

6.3194

6. 3198

0. 3202

06

10

15

19

23

27

31

0. 3235 7. 79(5

39

43

4752'

56

60

64

68 ..

72

6.3276

81

85

89

93

6. 3297

6. 3301

05

09 

14

6.3318' 7.792
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TAULE 22. Geodetic position compulations Continued.

LATITUDE 50°.

241

Lat.

o /

50 00

1

2

3

4

05

6

7

8

9

10

" -11

 12

13

14

15

1617

.18

19

20

21

22

23

24

25

26

27

28

29

3031 '

32

33

34

. 35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

' 50

51

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0.07

8.508 8623

19

15

11

06

8.508 8602

8. 508 8598

94

90

85

8. 508 8581

77

. 73

68

64

60

56

52

47

43

8. 508 8539

.35

30

26

22

18

14

09

05

8. 508 8501

8. 508 8497

93

88

84

80

. 76

71

67

63

59.

8. 508 8455

50

4fi

42

38

34

29

25

21 ' 17

8.508 84*13

08 

04

8. 508 8400

8. 508 8396

92

87

83

79

<5

8. 508 8371

logB 

difl.l"=-0.21

8.510 0835

22

8.5100809

8. 510 0797

84

71

59

46

33

21

8. 510 0708

8. 510 0695

83

70

. 57

45

32

19

8.510 0607

8. 510 0594

8. 510 0581.

69

56

43

31

18

8.510 0505

8. 510 0493

80

67

8. 510 0455

42

29

17

8. 510 0404

8. 510 0392

79

66

54

41

8 510 0328

16

8 510 0303

8.510 0291

78

65

53

40

27

1,5

8.510 0202

8.510 0190

77

64

52

39

27

14

8.510 0101

8. 510 OOS9

8. 510 0076

logC 

diff.l" = +0.43

1. 47968

1.47993

1.48019.

070' 044

095

121.

146

172

197

1.48223

248

274

299

325

350

376

401

452' 427

1. 48478

504

629

555

580

606

631

657

682

708

1.48734

: 759

785

810

836

861

887

918 938'

964

1.48989

1. 49015

041

066-

092

317

143

169

194

220

1 . 49246

271

297

322

348

374

399

425

451 .

470

1. 49502

logD 

diffl"=-0.01

2.3862

62. .

61

61

60

60

.60

59

59

58

2. 3858

57

57

56

56

55

65

55

54

54

2. 3863

53 

52

52

51

51

60

50

49

49

2. 3848

48

47

47

46

46

45

45

44

44 .

2. 3843

43

42

42

41

41

40

40

39

39

2. 383838 '

37

37

36

36

35

35

34

34

2.3833

log E log F 

diff.l"=+0.07 diff.lO'=-2.0

. 6.3318

22

.26

'34 30

39

43

47

51

55

6. 3359

63

68

72

76

80

84

88

93

6. 3397

6. 3401

0509'

14

18

22

26

30

34

39

6. 3443

47

51

55

60

64

68

72

76

81

6. 3485

89

93

6. 3497

6.3502

06

10

14

18

23

6.3527

31

35

40

44

48

52 ' 66

61

65

6. 3569 

7.792

7. 788

7.784

7.780

Bull. 234 04 16
GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 51°.

[BULL. 234.

Lat.

0 '

 51 00

1

 i

3

4

: 05

6

7

8

9

10

11

12

13

14

15

[ 16

i 17

! - 18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33 .

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48, 4<P

50

51

62

53

54

55

66

57

58

59

60

log A 

diff.l"=-0.07

8. 508 8371

66

62

58

54

50

45

41

37

33

8.508 8329

24

20

16

12

08

8.508 8303

8. 508 8299

95

91

8.508 8287

82

. 78

74

70

66

62

67

63

49

8. 508 8245

41

36

32

28

24

20

16

11

 07

8. 508 8203

8.508 8199

95

90

86

82

78

74

70

65

8. 508 8161

57

53

49

45

: 40

36

32

. 28

24

8. 508 8120

logB 

diff.l"=-0.21

8.510 0076

64

51

38

26

13

8. 510 0001

8. 509 9988

75

63

8.509 9950 

38

25

13

8.509 9900

8.509 9887

75

62

50

87

8.509 9825

8. 509 9812

8. 509 9799

87

74

62

49

37

24

8. 509 9711

8.509 9699

86

74

6.1

49

36

24

8.609 9611

8.509 9599

86

8. 509 9574

61

48

36

 23

8. 509 9611

8.509 9498

86

73

61

8.509 9448

36

23

8. 509 9411

8.509 9398

86

73

61

48

36

8.509 9323

logC 

diff.l"=+0.43

1.49502

528

553

579 "605

630

656

682

707

733 .

1 . 49759

785

810

836

862

887

913

939

965

1.49990

1.60016

042

067

093

119

145

170

196

222

248

1.50273

299

325

351

. 376

402

428

454

480

505

 1.50631

557

583 609

634

660

686

712

738

764

1.50789

815

841

867

893

919

944

970

1.60996

1.51022

1.51048

logD 

diff.l"=-0.01

2.3833

33

32

32

31

31

30

29

 29

28

2.3828

27

27

26

26

25

25

24

23

23

2.3822

22

21

21

20

20

19

18

18

17

2. 3817

16

16

15

14

14

13

13

12

11

2.3811

10

10

09

08

08

07

07

06

05

2.3805

04

04

03

02

02

01

01

2.3800

2.3799

2. 3799

log E log F 

diff. 1" = +0.07 diff.lO'=-2.2

6. 3569 7. 780

73

78

82

86

90

95

' 6.3599

6.3603

07

6. 3612

16

20

24

28

33

37

41

45

50

6. 3654 7. 776

58

63

67

71

75

80

84

88

92

6. 3697

6. 3701

05

10

14

18

22

27

31

35

6. 3740 7. 772

44

48

52

57

61 65

70

74

78

6. 3782

87

91

6. 3795

6.3800

04

08

13

17

21

6.3826 7.767
GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 22. Geodetic position computations Continued.

LATITUDE 52°.

243

Lat.

O '

52 00

1

2-

' 43

05

6

7

8

9

10

11

12

13

14

15

16

17 18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

62

63

54

55

56

57

58

59

60

log A 

diff.l"=-0.07

8.608 8120

15

11

07

8. 508 8103

8. 508 8099

95

90

86

82

8. 508 8078

74

70

65

61

57

53

49

45

41

8. 508 8036

32

28

24

20

16

11

07.

8. 508 8003

8. 508 7999

8.608 7995

91

87

82

78

74

70

66

62

58

8. 508 7953

49

45

41

37

33

29

24

20

16

8.508 7912 .

08

04

8. 508 7900

8.508 7895

9187-

. 83

79

75 .

8. 508 7871

logB 

diff.l"=-0.2l

8. 509 9323

8.609 9311

8.509 9298

86

73

61

48

36

23

8. 509 9211

8.509 9198

86

73

61

48

36

23

8. 509 9111

8.509 9099

86

8. 509 9074

61

49

36

24

8.509 9011

8.609 8999

86

74

62

8. 509 8949

37

24

8.509 8912

8. 509 8899

87

74

62

50

37

8.509 8825

12

8. 509 8800

8.509 8788

75

63

50

38

25

13

8. 509 8701

8. 509 8688

76

63

51

39

26

14

8. 509 8602

8. 509 8589

8.509 8577 '

logC 

diff.l"=+0.43

1. 51048

074

.100

126

151

177

203

229

255

281

1. 51307

333

359

385

411

436

462

488 '

514

640

1. 51566

592

618

644

670

696

722

748

774

800

1.51826

852

878

904

930

956

1.51982

1.52008

034

060

1.52086

112

138

164

190

216

242

268

294

320

1.52347

373

399

425

451

477

5C3

529

555

681

1.52608

logD 

diff.l"=-0.01

2. 3799

98

97

97

96

96

95

94

94

93

2.3792

92

91

91

90

89

88

88

87

87

2. 3786

86

85

84

83

83

82

. 81

81

80

2. 3779

. "79

78

78

77

76

75

75

74

73

2. 3773

72

71

71

70

69

68

68

67

66

2. 3766

.65

64 

64

63

62

61

61

60

69

2. 3759

log E log F 

diff.l"=+0.07 diff.lO'=-2.3

6. 3826 7. 767

30

3439 '

43

47

62

56

60

65

6. 3869

73

78

82

86

91

95

6.3899

6.3904

08

6.3912 7.763'

17

21

25

30

34

38

43

47

51

6. 3956

60

65 5 69

73

78

82

86

91

6. 3995

6.4000 7.758"

04

08

13

17

21

26

30

35

39

7. 4043

48

52

67

61

65

70

74

79

83

 6.4088 7.763
244 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 53°.

 Lat.

o / ' 53 00'

1

2

3

4

05

6

: 7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

 23 

24.

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

67

58

59

60

log A 

diff.l"=-0.07

8.508 7871

67

62

58

54

50

46

42

38

34

8. 508 7829

25

21

17

13

09

05

8. 508 7801

8. 508 7797

92

8.508 7788

84

80

76

72

 68

64

60

55

51

8. 508 7747

43

39

35

31

27

23

18

14

10

8.508 7706

8. 508 7702

8.508 7698

94

90

86 82

77

73

69

8. 508 7665

61

57

53

49

45

41

37

32

28

8. 508 7624

logB 

diff. 1"= -0.21

8.509 8577

64

52

40

27

15

8. 509 8502

8. 509 8490

78

65

8. 509 8453

. 41

28

16

8. 509 8404

8. 509 8391

79

67

64

42

8. 509 8329.

17

8. 509 8305

8. 509 8292

80

68'-

55

43.

31

. 18

8. 509 8206

8. 509 8194

82

69

57

45

32

20

8. 509 8108

8. 509 8095

8. 509 8083

71

58

46

34

22

8. 509 8009

8.509 7997

85

72

8. 509 7960

48

36

23

8:509 7911

8.509 7899

87

74

62

50

8. 509 7838

logC 

diff. 1"= +0.44

1.52608

 634

660

686 

712

738

764

790

817

843

1.52869

895

921

947

1.52974

1.53000

026

052

078

105

1.53131

157

183

209

236

262

288

314

341

367

1.53393

419

446 .

472

498

524

551

577

603

630

1. 53656

682

709

735

761

788

 814

840

867

893

1.53919

946

972

1.53998

1. 54025

051

077

104

.130

157

1. 54183 '

logD 

diff. 1"= -0.01

2. 3759

58

57

56

56

55'

54

53

53

52

2. 3751

-51

50

49

48

48

47

46

45

45

2. 3744

43

42

42

41

40

39

39

38

37

2. 3736

36

35

34

33

33

32

31

30

29

2. 3729

28

27

26

26

25 1 24

23

22

22

2. 3721

20

19

18

18

17

16

16

14

14

2. 3713

logE 

diff. 1"-= +0.07

6. 4088

92

6. 4096

6. 4101

05

10

14

18

23

27

6.4132

36

41

45

49

54

58

63

67

72

6.4176 

80

85

89

' 94

6. 4198

6. 4203

07

12

16

6. 4221

25

29

34

38

43

47

52

56

61

6. 4265

70

74

79

83

88

92

. 6. 4297

6.4301

06

6. 4310

15

19

24

28

33

37

42

46

51

6. 4355

logF 

diff. 10'= -2.5

7. 753

7.748

7.743

7.738
GANNETT.] C1EOGKAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 54°.

245

Lat.

0 /

54 00

1

2-

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

. 21.

22

23

24

25

26

27

28

29

30

31

32

33

34

35

30

37

38

39

40

41

42

43

44

45

40

47

. 48

49

50

51

52

53

54

55

50

57

58 ' 59

60

log A 

diff. 1"=-0.07

8.508 7624 .

20

16

12

08

04

8. 508 7600

8. 508 7596

92

88

8.508 7584

79

75

 71 .

67 .

63

69

55

51

47.

8.508 7543

39

35

31

27

22

18

14

10

00

8. 508 7502

8. 508 7498

94

90

86

82

78

74

70

00

8. 508 7402

58

63

49

45

41

37

33

29

25

S.50S 7421

17

13

09

05

8.508 7401

8.508 7397

93

89

85

8.508 7381

logB 

diff. 1"= -0.20 clife

8.509 7838

25

13

8.509 7801

8.509 7789

76

64

52

40

27

8. 509 7715

8. 509 7703

8.509 7091

78

06

54

42

30

17

8.509 7005

8.509 7593

81

09

50

44

32

20

8. 509 7508

8.509 7495

S3

8. 509 7471

59

47

34

22

8.509 74.10

8.509 7398

86

74

01

8. 509 7349

37

25

13

8.509 7301

8.509 7289 '

76

04

52

40

8.509 7228

16

8.509 7204

8.509 7191

79

07

65 43

31

19

8.509 7107

logC 

1"=+0.44

1.54183

209

230

262

288

315

341

368

394

421

1.54447

474

500

527

553

580

. 606

033

' 059

680

1.54712

739

705

792

818

845

871

898

924

951

1 . 54977

1. 55004

031.

057

084

110

137

163

190

217

.1.55243

270

297

323

350

370

403

430

450

483

1.55510

530

503

590

610

643

670

696

723

750

1. 55777

log D 

diff. 1"= -0.01

2. 3713

12

11

10

09

 09

08

07

00

05 

2. 3705

04

03

02

01

00

2. 3700

2. 3699

 98

97

2. 3090

95

94

94

93

92

91

90 .

89

88

2. 3088

87

86

85

84

' S3

82

82

.81

80

2. 3079 '78

77

70

75

74

74 .

73

72

71

;.!. 3070

09

08

07

06

00

05

04

03

02

2. 3601

log E 

diff. 1"= -t-0.08

0.4355

GO

64

69

73

78

82

87

91

0. 4396

6. 4400

05

09

14

18.

23

, 28

32

37

41

(i. 4446

50

55

59

64

68

73

78

82

87

0. 4491

0. 4496

0. 4500

05

09

14

19

23

28

32

0. 4537

41

40

51

55

GO

04

69

74

78

0. 4583

87

92

0. 4597

6. 4601

00

:o

15

20

24

0. 4629

logF 

cliff. 10'= -2.6

7. 738

7.733

7. 728

7.723
246 GEOGEAPHIC TABLES AND .FOEMULA3.

TABLE 22. Geodetic position computations Continued. 

. LATITUDE 55°.

[BULL. 234.

Lat.

o / 

55 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36 -

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0.07

8. 608 7381

77

73

69

65

61

56

52

48

44

8. 508 7340

36

32

28

24

20

16

12

08

04

8. 508 7300

8. 508 7296

92

88

84

80

76

72

68

64

8. 508 7260

56

52

48.

44

40

36

32

28

24

8.508 7220

16

12

08

04

8. 508 7200

8.508 7196 "

92

88

84

8.508 7180

76.

72

68

64

60

56

52

48

44

8.508 7140

logB 

diff.l"=-0.20

8. 509 7107

8. 509 7095

82

70

58

'46

34

22

8. 509 7010

8. 509 6998

8. 609 6986

74

62

49

37

25

13

8.509 6901

8. 509 6889 

77

8. 509 6865

53

41

29

17

8. 509 6805

8.509 6793

81

69

57

8. 609 6745

33

21

8.509 6709

8. 509 6696

84

72

60

48.

36

8.509 6624

12

8. 509 6600

8.509 6588

76

64

52

40

28

16

8. 509 6605

8. 509 6493

81

' 69

57

45

33

21

8. 509 6409

8. 509 6397

8.509 6385

logC 

difl.l"=+0.

1.55777

803

830

857

884

910

937

964

1.55991

1.56017

1.56044

071

098

125

151

178

205

232

259

286

1.56312

339

366

393

420

447

474

600

527

554

1.56581

608

635

662

689

716 743

770

797

823

1.T6850

877

904

931

958

1.56985

1.57012

039

066

093

1. 57120

" ' 147

174

. 201

229

256

283

310

337

364

1. 57391

logD 

5 diff. 1»=-0.02

2. 3661

60

69

58

57

56

56

55

54

53

2.3652

51

50

49

48

47

46

45

44

43

2. 3642

42

41

40

39

38

37

36

35

34

2.3633

32

31

30

29

28 '

27

26

25

24

2. 3623

22

21

20

19

18

17

16

15

14

2. 613

12

11

10

09

08

07

06

05

04

2.3603

log E log F 

diff. 1"- +0.08 diff. 10'= -2.8

6.4629 7.723

33 ,

38

43

47

62

67

. 61

66

70

6. 4675

80

84

- 89 94 '

6. 4698

6.4703

08

12

17

6. 4721 7. 717

26

31

35

40

45

49

54

59

63

6. 4768

73

77

82

87

91

6. 4796

6. 4801

05

10

6.4815 7.711

20

24

29

34

38

43

48 -*

52

. ^ 67

6.4862

66

71

76

81

85

90

6.4895

6.4900

04

6. 4909 7. 706
GANNKTT.] &EOGKAPHIC TABLES AND FOEMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 66°.

247'

Lat.

0 /

56 00

1

 2

3

4

05

6

7

8

9

10

11

12

13

1*

15

16

17

18

19

20

21

22

23

24

26

26

27

28

29

'30

31

32S3'

34

35

36

37

38

39

40

41

42

43

44

45

46

 47

48

49

50

51

62

53

64

55

56

57

58

59

60

log A 

diff.l"=-0.07

8. 508 7140

36

32

28

24

20

16

12

08

04

8.6087100

8. 608 7096

92

88

84

80

76

72

69

65

8. 508 7061

57

53

49

45

41

37

33

29

25

8.508 7021

17

13

09

05

8. 508 7001

8. 508 6997

93

89

86

8.508 6982

78

74

70

66

62

58

54

50

46

8. 508 6942

38

54

30

26

23

19

15

11

07

8.508 6903

logB 

diff.l"=-0.20

8. 509 6385

73

61

49

37

25.

13

8. 609 6301

8.509 6289

77

8. 509 6266

. 54

42

30

18

8. 509 6206

8. 609 6194

82

70

58

8. 509 6147

35

23

8.509 6111

.8. 509 6099

87

76

63

51

40

8. 509 6028

16

8.509 6004

8. 509 5992

80

68

.57

45

33

21

8. 609 5909

8. 609 5897

86

74

62

60

38

27

15

8 609 5803

8. 509 5791

79

67

' 56

44

32

20

8. 509 5709

8. 609 5697

85

8. 509 5673

logC 

diff.l"=+0.45

1. 57391

418 

445

472

499

526

554

581

608

636

1. 57662

689

717

744

771 '

798

825

852

880

907

1. 57934

961

1. 57989

1. 58016

043

070

098

125

152

179

1. 68207

234

261

. 289

316

343

371

398

425

453

1.58480

507

535

562

589

617

644

672

699

726

 1.58764

781

809

836

864

891

919

946

1. 58974

1.59001

1.59028

logD 

diff.l"=-0.02 diff

2.3003

02

01

2.3600

2.3599

98

97

96

95

94

2.3593

92

91

90

89

88

87

86

85

84

2.3583

82

81

80

78

77

76

7674'

73

2. 3672

71

70

69

68

67

66

65

64

62

2.3661

60

59

58

57

56

56

54

53

52

2.3550

49

48

47

46

46

44

43

42

41

2.3539

log E log F 

1"=+0.08 dif?.10'=-3.0

6. 4909

14

18

23

28

33

37

42

47

52

6.4956

61

66

71

75

80

85

9094 '

6. 4999

6. 5004 .

09

13

18

23

28 .

32

37

42

47

6.5052

56

61

66

71

75

80

85

90

95

6.5099

6.6104

09

14

19

24

28

33

38

43

6.5148

52

57

62

67

72

77

81

86

91

6.5196

7:706

7.700

7.694

7.688
GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position 'computations Continued.

LATITUDE 57°.

[BULL. 234.

- Lat.

o / 

57 00 

1

2

3

4

05

0

7

8

9

11 10 '

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

3t

32

33

44

35

36

37

38

39

40

41

42

43

41

45

46

47

48

49

50

51

52

53

54

55

56.

57

58

59

CO

log A 

diff.l"=-0.06

8. 508 6903

8.508 6899

95

91

 87

83

79

75

72

08

8.508 6864

60

56

52

48

44

40

36

32

28

T,. 508 6825

21

17

13

09

05

8. 508 6801

8. 508 6797

93

90

8. 508 6786

82

78

74

70

06

62

58

54

51

8. 508 6747

43

39

35

31

27

23

20

« 16

12

8. 508 6708

04

8. 508 6700

8. 508 6696

92

89

85

81

77

73

8. 508 6669

log B 

cliff.l"=-0.19

8. 509 5673

61

50

38

26

14

8.509 5603

8. 509 5591

79

67

8.509 5556

44

 32

20

8.509 5509

8. 509 5497

85

73

62

50

8. 509 5438

27

15

8. 509 5403

8. 509 5392

80

68

56

45

33

8. 509 5321

8. 509 5310

8. 509 5298

86

75

63

51

40

28

16

8. 509 5205

 8. 509 5193

81

70

58

46

35

23

12

8.509 5100

8; 509 5088

77

65

54

. 42

30

19

8. 509 5007

8. 509 4996

84

8/509 4972

log C 

cliff. l"= +0.46

1.59028.

056

083

111

139

166

194

221

249

276

 1.59304

331

359

387

1 414

442

469

497

525

552

1 . 59580

608.

 635

663

691.

718

746

774

801

829

1.59857

885

912

940 .

968

1.59996

1. 60023

051

079

107

1. 60134

162

190

218

246

274

301

329

357

385

1.60413

441

. 469

496

524

552

580

608

636 '

664

1. 60692

lugD 

cliff. 1"= -0.02

2. 3539

38

37

36

35

34

33

32 '

30 .

29

2. 3528'

27

26

25

24

22

21

20

19

18

2. 3517

1C

14

13

12

11

10

09

07

06

2. 3505

04

03

02

2.3500

2. 3499

98

97

96

95

2. 3493

92

91

90

89

87

86

85

84

83

2. 3481

80

' 79

78

76

75

74

73

72

70

2. 3469

logE 

cliff. 1"= +0.08

6. 5196

6. 5201

06

10

15

20

25

30

35

40

6.5244 .

49

54

59

64

69

74

79

83

88

6.5293

C. 5298

6. 5303

. 08

13

18

22

27

3237 '

6. 5342

47

52

57

62

67

72

76

81

86

6. 5391

6. 5396

6. 5401

06

11

16

21

26

31

36

6. 5441

46

50

55

60

65

'75 70

80

85

6. 6490

. logF 

cliff. 10'=-3.2

7. 688

7. 682

7. 675

7.CG9
GANNETT.] GEOGKAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 58°.

249

Lat.

o / 

58 00

1

2

3

4

05

0

7

8

9

10

11

12

13

14

15

10

37

18

19

20

21

22

23

24

25

 20

27

28

29

30

31

32

33

34

35

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

61

52

53

. 54

55

50

57

68

59

CO

log A 

cliff. 1"= -0.0(1

8. 508 0009

05

02

58

54

50

40

42

38

35

8.508 0031

27

23

19

15

11

08

04

8. 508 0000

8. 508 0590

8. 508 0592

88.

85

81

77.

73

09

05-

02

58

8. 508 0554

50

40

42

39

35

31

27

23

20

8.608 0510

12

08

04

8. 508 0500

 8.608 0497

93

89

85

81

8.508 0478

74

70

GO

02

59

55

51

47

43

.8.508 0440

logB 

Cliff. 1"= -0.19

8. 509 4972

01

49

38

20

14

8.509 4903

8. 609 4891

80

08

8. 509 4857

45

33

22

8. 509 4810

8. 509 4799

87

70

04

53

8.509 4741

30

18

8. 609 4707

8. 509 4095

84

72

01.

49

38

8. 509 4020

15

8. 509 4003

8. 509 4592

80

09

57

40

35

23

8. 509 4512

8.509 4500

8.509 4489

77

00

54

43

32

20

8. 509 4409

« 8.509 4397

80

74

03

52

40

29

17

8. 509 4300

8.509 4295

8. 509 4283

log C 

cliff. 1"= +0.47

1. 00092

720

748

770

804

832

800

888 

910

944

1. 00972

1.01000'

028

050

084

112

140

108

197

225

1.01253

281

309

337

305

'393

422

450 478"

500

1.01534

503

591

019

047

075

704

732

700

789

1:01817

845

873

902

930

958 -

1.01987

1.02015

043

072

1.02100

129

157

185

214

242

271

299

327

350

.1. '02384

log D 

diff.l"=-0.02

2. 3409

08

07

00

04

03

02

01

59

58

2. 3457

50

54

53

52

51

49

48

47

40

2. 3444

43

42

41

39

38

37

35

34

33

2. 3432

30

29

28

20

25

24

23

21

20

2. 3419

17

10

15

14

12

11

10

08

07-

2. 3400

04

03

02

2.3400

2. 3399

98

90

95

.94

2.3392

log E log F 

diff.l'°=+0.08 diff.lO'=-3.3

0.5490 7.009

0. 5495

0.5500

05

10

15

20

25

30

35

0. 5540 '

45

50

55

60

05

70

75

80

85

0. 5590 7. 002

0. 5595

(i. 5000

05

10

15

20

25

 30

35

0. 5040

45

50

55 .

CO

05

70

75

80

80

0. 5091 . 7. 050

0. 5090

0. 5701

00

11

10

21

20

31

30

0. 5741

40

51

50

02

07

72

77

82

87

0. 5792 ' 7. 049
250 GEOGRAPHIC TABLES AND FORMULAS,

TABLE 22. Geodetic position computations Continued.

LATITUDE 59°.

I BULL. 234.

Lat.

0 /

59 00

1

2

3

4

5 "

6

7

8

9

10

11

12

13

14

16

16

17

18

19

20

' 2221

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

. 44

45

46

47

48

49

50

51

52

53

54

55

56

57

68

59

60

log A 

diff.l"=-0.06

8. 508 6440

36

32

28

24

21

17

13

09

05

8. 508 6402

8.508 6398

94

90

87

83

79

75

71

68

8. 508 6364

60

56

53

49

45

41

38

34

30

8.508 6326

23

19

15

11

08

04

8. 508 6300

8.5086296

93

8. 508 6289

' 85

81

78

74

70

66

63

59

55

8. 508 6251

48

44

40

36

33

29

25

22

18

8.508 6214

logB 

diff.l"=-0.19

8. 509 4283

72

61

49

38

26

15

8. 509 4204

8. 509 4192

81

8. 509 4170

58

47

36

24

13

8. 509 4102

8. 509 4090

79

68

8.509 4056

45

34

22

11

8. 509 4000

8. 509 3989

77

66

55

8. 509 3943

32

21

8. 509 3910

8.509 3898

87

76

65

53

42

8. 509 3831

20

8.509 3808

8.509 3797

86

75

63

52

41

30

8. 509 3719

8. 509 3708

8. 509 3696

85

74

63

52

40

29

18

8. 509 4607

logC 

diff.l"=+0.48

1. 62384

413

441

470

498

527

655

584

612

641

1.62669

698

.727

765

784

812

841

870

898

927

1. 62955

1.62984

1. 63013

041

070

099

127

156

185

214

1. 63242

271

300

329

357

 386

415

444

473

501

1.63530

559

588

617

646

674

703

732

761

790

1. 63819

848

877

906

935.

964

1.63993

1. 64022

051

080

1.64109

logD 

diff.l"=-0.02

2. 3392

91

90

88

87

84" 86

83

82

80

2. 3379

78

76

75

74

72

71

69

68

67

2.3365

64

63

61

60

58

57

56

54

53

2. 3351

50

49

47

46

44

43

42

40

39

2. 3337

36

35

33

32

30

29

28

26

25

2.3323

22

20

19

17

16

16

13

12

10

2.3309

logE 

diff.l"=+0.09

6. 5792

6. 5^97

6.5802

07

13

'18

23

28

33

38

6. 5843

48

54

59

64

69

74

79

84

89

6. 5895

6. 5900

05

10

15

20

26

31

36

41

6. 5946

51

57

62

67 .

72

77 .

82

88

93

6.5998

6.6003

08

14

19

24

29

34

40

45

6.6050

55

61

66

.71

76

81

87

92

6. 6097

6. 6102

logF 

diff.lO'=-3.5

7.649

7.642

7.635

7.627
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 60°.

251

Lat.

O 1

60 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

. 29

30

31

32

33

3,4

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff. l'r=-0.06

8. 508 6214

10

07

8. 508 6203

8.608 6199

96

92

88

84

81-

8. 508 6177

73

70

66

62

58

55

51

47

44

8. 508 6140

36

33

29

25

21

18

14

10

07

8.508 6103

8. 508 6099

96

92

88

85

81

77

74

70

8. 608 6066

63

69

55

52

48

44

41

37

33

8. 508 6030

26

22

19

15

11

08

04

8.508 6000

8. 508 5997

8.608 5993

logB 

diff. 1"=-0.18

8. 509 3607

8.509 3596

85

73

62

51

40

29

18

8.609 3507

8.509 3495

84

73

62

51

40

29

18

8. 509 3407

8.609 3395

8.5093384

73

62

51

40

29

18

8.6093307

8. 609 3296

85

8. 609 3274

63

52

40

29

18

8. 509 3207

8.509 3196

85

74

8. 609 3163

62

41

30 '

19

8. 609 3108

8. 609 3097

86

75

64

8. 509 8063

42

31

20

8. 509 3010

8. 609 2999

88

77

66

55

8. 509 2944

logC 

diff. l'°=+0.49 diff

1.64109

138

167

196

' 225

254

283

312

341

370

1.64400

429

468

487

516

545

574

604

633

662

1.64691

720

750

779

808

838 .

.867

896

925

955

1.64984

1.65013

043

072

101

131

160

190

219

248

1. 65278

307

337

366

396

426

455

484

514

643

1.65573

602

632

661

691

721

750

780

809

 839

1.65869

lOgD 

1"=-0.03

2.3309

07

06

04

03

02

2.3300

2.3299

97

96

2.3294

93

91

90

88

87

85

84

82

81

2. 3279

78

76

75

73

72_

70

69

67

66

2. 3264

63

61

60

58

57

65

54

52

51

2.3249

48

46

45

43

41

40

38

37

35

2.3234

32

31

29

28

26

24

23

21

20

2. 3218

log E log F 

diff. 1"=+0.09 diff.lO'= -3.7

6. 6102 7. 627

08

13 '

18

23

29

34

39

44

50

6.-6155

60

66

71

76

81

87

92

6. 6197

6.6203

6. 6208 7. 620

13

' 18

24

29

34

40

45

50

56

6..6261

66

72

7782 '

87

93

6. 6298

C! 630-1

09

6. 6314 7. 613

20

25

30

36

41

46

52

57

62

6. 6368 '

73

79

84

89

6. 6395

6.6400

05

11

16

6. 6422 7. 605
252 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22.- Geodetic nosition computations Continued.

LATITUDE 61°.

[BULL. 234.

Lat.

o / 

01 00

1

2

3

4

05

6

7

8

9

10

11

12

13

1.4

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

%35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

62

53

54

55

66

57

58

59

''CO

' log A 

diff.l"=-0.06

8. 508 5993

89

86

82

79

75

71

68

64

60

8.508 5957

53

49

46

42

39

35

31

28

24

8. 508 5920

17

13

10

06

8. 508 5902

8. 508 5899

95

92

88

8.508 5884

81

77

74

70

66

63

59

5G

52

8. 508 5848

45

41

38

34

30

27

23

20

16

8. 508 : 581 3

09

05

8. 508 5802

8. 508 5798

95. ' 91

88

84

80

8.508 5777

logB 

cliff. 1"= -0.18

8. 509 2944

33

22

11

5.509 2900

8..509 288978 '

67

.56

4C

8. 509 2835

24

13

8.5092802

8. 509 2791.

80

69

' 5848

37

8. 509 2726

15

8. 509 2704

8. 509 2693

83

72

61

50

39

28

 8. 509 2618

8. 509 2607

8. 509 2596

85

74

64

53

42

31

20

8. 509 2510

8. 509 2499

88

77

67

56

45

3424'

K

8. 509 2402

8. 509 2391

81

70

59

49

38

27

16

8. 509 230C

8. 509 2295

logO 

cliff. 1"= +0.50

1.65869

898

928

958

1. 65987

1. 66017

047

076

106

136

1. 66166

195

225

255

285

315

344

374

404

434

1. 66464

494

524

553

583 '

613

643

673

703

733

a. 60763

793

823

853

883

913

943

1. 66973

1.67003

033

1 . 67063

094

124

154

184

214

244

274

305

335

1 . 67365

395

425

456

486

516 547'

677

607

637 

1. 67668

logD 

difT.l"=-0.03

2. 3218

17 

15 ' 13

12

10

09

07

06

04

2. 3202

2. 3201

2. 3199

98

9fi

94

93

91

90

88

2.3186

85-

83

81 .

80

78

77

75

73

72

2.3170 -

68

07

65

04

G2

60

58

57

55

2.3154

52

50 '49

47

45

44

42

40

39

2.3137 

35

34

32

30

29 ' '

27

25

23

22

2.3120 :

log E 

cliff.l"=+0.09

6. 6422

27

32

38

43

48

54-

59

65-

70

6. 6476

81

87

92

O.C497

6. 6503

08

14

19

25

6. 6530

36

41

46

52

57

63

68

74

79

6. 6585

90

6. 6596

6. 6601

07

' 12

18

23

2934 '

6.6640 

45

51

56

62

67

73

78

84.

89

6.0695 " <

6. 6700

06

12.

17

23

28

34

39

45

6. 6750

log F 

cliff.lO'=-4.0

7. 605

7. 597

7.589

7.581
GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 62°.

253

Lat.

o /

6J 00

1

2

3

4

05

6

7

8

9

.1.0

11. .

12

13

14

15

10

. 1.7

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

66

57

58

59

60'

log A 

cliff. 1"= -0.06

' 8. 508 5777

73

70

66

63

59

55

52

48

45

8. 508 5741 '38

34

30

27

24

20

16

13

09

8.508 5706

8.508-5702'

8. 508 5699

95

.92

88

85

81 .

78

 74

8. 508 5671.

 67

64

60

56

53

49

46

42

39

8. 508 6635

32

28

25

21

 18

14

11

07

04

S. 508 6600

8.508 5597 '

 93

90

86

83

80

76.

73

. 69

8.508 5566 

logB 

diff.l"=-0.18

8.509 2295

84

74

63

52

42

31

20

8. 509 2210

8. 509 2199

8. 509 2188

78

67

56

46

35

25

14

8. 509 21.03

8. 509 2093

8. 509 2082

71,

61

50

40

29

19

8.509 2008 '

8. 509 1997

87

8.509 1976

66

55

45

34

23

.13

8. 509 1902

8.509 1892

81

8.509 1871

60

50

39

29

18

8.509 1808-

8. 509 1797

87-

76

8. 509 1766

55

45

34

24

14

 8.509 1703

8.509 1693

82

72

8. 509 1661

logC 

dirt. 1"= +0.51

1. 67668 .

698

728

759

789 -

820

850 '

880

911

941

1.67972

1. 68002

033

063

094

124

155

185

21.6 '

246

1 . 68277

307 '

338 369'

399

430

461

491

522

553

1.68583

 6,1,4

GJ5

675

706

737

768

799

829

860

1 . 68891

922

953

1. 68984

1.69014 .

045

076 '

107

138

169

1.69200

231

262

. 293

324^

355

386

417

448

479

1. 69510

logD 

diff.l"=-0.03

2. 3120

18

1.7

15

13

12

10

08

06

05

2.3103

01

2.3100

2. 3098

96

94

93

91

89

87

2. 3086

84

82

80

79

77 

75

74

72

70

2. 3068

66

65

63

61

59

58

56

54

52

2.3050

49

47

45

43

42

40

38

36

.34

2. 3033

3.1

29

27

25

23

22

20 ' 18

16

2. 3014

logE 

diff.l"=+0.09

6.6750

56

61

67

73

78

84

89

6. 6795

6. 6801

6. 6806

12

17

23

29

34

40

45

51

57

6. 6S62 '

68

73

79

.85

90

6. 6896

6. 6902

07

13

6. 0919

24

30

36

41

47

53

58

64

.70

6. 6975

 81

87

92

6. 6998

6. 7004

09

15

21

26

6. 703238-

44

49

55

61

67

' . 72

78

84

6. 7089

logF 

.cliff. 10' = -4.2

7.581

7.573

7.564

7.556
254 GEOG'RA.PBICK TABLES - AND^ FORMULAS..

TABLE 22. Geodetic position computations -Continued. 

LATITUDE 63°.

[BULL. 234.'>

Lat.

.0 /

63 00

 1

: 2

: 3

4

05

; 6

1 7

8

9

10

11

12

13

14

15

16

17

: 18

19

20.

21

22

 23

; 24

: 25

- 26

: 27

' 28

! 29

; so

31

: 32

: 33

34

: 36

36

37

38

39

40

41

42

43

44

. 45

46

47

48

49

50

51

52

53

54

56

56

57

68

59

60

log A 

diff.l"=-0.06

8. 508 6566

62

59

55

52

48

46

41

38

34

8.6086531

27

24

20

17

14

10

07

03

8. 508 5500

8. 508 5496

93

89

86

83

79

76

72

69

65

8. 608 5462

58

65

52

48

45

41

38

34

31

8.508 5428

24

21

17

14

11

07

04

8. 508 5400

8.608 5397

8. 508 5394

90

87

83

80

77

73

70

66

63

8.508 5360

logB 

diff.l"=-0.17

8. 509 1661

51

40

30

20

8.509 1609

8. 609 1599

88

78

68

8.509 1557

47

36

26

16

8. 509 1505

8. 609 1495

85

74

64

8.509 1464

43

33

23

. 12

8.509 1402

8.509 1392

81

71

61

8. 509 1350

40

30

19

8.509 1309

8. 509 1299

89

78

68

58

8. 609 1248 '

37

27

17

8.609 1207

8.609 1196

86

76

66

55

8. 509 1145

35

25

15

8.509 1104

8.509 1094

84

74

64

64

8.609 1043

logC 

diff.l"=+0.52

1. 69510

541

672

603

635

666

697

728

759

791

1.69822

853

884

915

947

1.69978

1.70009

041

' 072

103

1.70135

166

197

229

260

292

323

365

386

417

1.70449

480

512

544

575

607

638

670

701

733

1. 70765

796

828

860

891

923

955

1.70986

1.71018

050

1. 71082 .

114

145

177

^209

241

273

305

337

368

1.. 71400

logD diff.l''=-0.03

2.3014

13

11

09

07

05

03

02

2.3000

2.2998

2.2996

94

92

90

89

87

85

83

81

79

2. 2977

75

74

72

70

68

66

64

62

60

2.2958

5755 -

53

51

49

47

45

43

41

2. 2939

37

36

34

32

30

. 28

26

24

22

2.2920

18

16

14

12

10

08

06

04

02

2.2901

log E log F 

diff.l»=+0.10 diff.lO'=-4.5

6.7089

6.7095

6. 7101

07

12

18

24

30

35

41

6.7147

53

59

64

70

. 76

82

88

93

6.7199

6. 7206

1117 

22

28

34

40

46

51

67

6. 7263

69

75

81

86

92

6.7298

6.7304

10

16

6.7322

28

33

39

45

51

57

63

69

75

6.7381

86

92

6. 7398

6. 7404

10

16

22

28

34

6.7440

7.556

7.647

7.538

7.629
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 64°.

255

Lat.

o / 

64 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

2223'

24

25

26

27

28

29

30

31

32

. 33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49 -

50

51

52

5354'

55

56

57

58

59

60

log A 

diff. 1"=-0.06

8. 608 5360

56

53

49

46

43

39

36

33

29

8. 508 5326

22

19

16

12

09

06

8. 508 5302

8. 508 6299

96

8. 508 5292

89

85

82

79

75

72

69

65

62

8.508 5259

55

52

49

45

42

39

35

32

29

8.508 5225

22

19

15

12

09

05

8. 508 5202

8. 508 5199

95

8. 508 5192

89

86

82

79

76

72

69

66

62

8. 608 5159

logB 

cliff. 1»==-0.17 diff

8. 509 1043

33

23

13

8.509 1003

8. 509 0993

82

72

62

52.

8. 509 0942

32

22

12

8. 509 0902

8.509 0891

81

71

61

51

8. 509 0841

31

21

11

8.509 0801

8. 509 0791

81

71

61

51

8. 509 0741

31

21

11

8.509 0701

8. 509 0691

81

71

61

51

8.509 0641

31

21

11

8.509 0001

8.509 0591

81

71

61

51

8.509 0541

. 31

21

11

8. 509 0501

8. 60<J 0491

82

72

62

52

8.509 0442

logC 

. 1"=+0.54 diff

1. 71400

432

464

496

528

560

592

624

656

688

1. 71720

752

785

817

849

881

913

945

1. 71977

1.72010

1. 72042

074

106

139

171

203

235

268

300

332

.1.' 72365

397

430

462

495

527

559

592

624

657

1.72689

722

755

787

820

852

885

918

950

1.72983

1. 73016

048

081

114

146

179

212

245

278

310

1.73343 

logD 

1"=-0.03 diff

2. 2901

2.2899

97

95

93

91

89

87

85

83

2. 2881

79

77

75

73

71

69

67

65

63

2. 2861

59

57

55

53

51

49

47

45

42

2. 2840

38

36

34

32

30

28

26

24

22

2. 2820

18

16

14

12

10

07

05

03

2. 2801

2. 2799

97

95

93

91

89 

87

84

82

80

2.2778

log E log P 

1"=+0.10 diff. 10'=-4.7

6. 7440 7. 529

46

52

58

63

69

75

81

87

93

6. 7499

6.7505

11

17

23

29 '

35

41

47.

53

6.7559 7.520

65

71

77

83

89

6. 7595

6. 7601'

07

13

6. 7619

25

31

'4337

49

56

62

68

74

6.7680 7.511

86

92

6. 7698

6. 7704

10

16

22

28

35

6. 7741

47

53

59

65

71

77

84

90

6.7796

6. 7802 7. 601
256 GEOGRAPHIC TABLES AND FOBMULAS.

TABLE 22. Geodetic position computations Continued.

: LATITUDE 65°.

[BULL. 234.

Lat.

o ' / 

65 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

. 20'

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

. 55

 56

57

58

59

60

log A 

diff.l"=-0.05

8. 508 5159

56

52

49

46

43

39

36

33

30

8.5085126

23

20

17

13

10

07

03

8. 508 5100 '

8. 508 5097

8.508 5094

90

87

84

81

77

74

71

68

64

8. 508 5061

68

54

51

48

45

41

38

35

32

8.508 5029

25

22

19

16

13

09

06

03

' 8. 508 5000

8. 508 4996

. 93

90

87

84

80

77

74

71

68

8. 508 4964 .

logB 

diff.l"=-0.16

8. 509 0442

32 22

12

8. 509 0402

8. 509 0393

83

73

63

53

8.5090344

34

24

14

8. 509 0304

8.509 0295

85

75

65

55

8. 509 0245

36

,26

16

8. 509 0206

8. 509 0197

87

77

67

57

8. 509 0148

38

28

18

8. 509 0109

8. 509 0099

89

80

70

60

8. 509 0051

41

31

22

12

8. 509 0002

8. 508 9993

83

73

64

8. 508 9954

44

35

25

15

8. 508 9906

8. 508 9896

87

77

67

8. 508 9858

logC 

cliff. 1"= +0.56

1. 73343

376

409

442

475

508

541 .

574

607

640

1. 73673

706

739

772

805

838

871

904

937

1. 73970

1. 74004

037

070

103

136

170

203

236

270

303

1. 74336

370

403

436

470

503

 537

570

604

637

1. 74670

704

738

771

805 -

838

872

906

939

1. 74973

1. 75007 

040

074

108

142

175

209

243

277

.311

1.75344.

logD 

diff.l"=-0.04

2. .2778

76

74

72

70

 68

65

63

.61

59

2.2757

55

53

50

48

46

44

42

40

38

2.2735

33

31

29

27

24

22

20

18

16

2. 2714

. 11

09

07

05

03

2. 2700

2. 2698

96

94

2. 2692 '89'

87

85

83

80

78

76

74

72

2. 2669

67

65

63

60

58

56

53

51

49

2. 2647

logE 

diff.l"=+0.10

6. 7802 .

08

14

20

27

33

39

45

51

57

6. 7864

70

76

82

88

6. 7895

6. 7901

07

13

J.9

6. 7926

32

38

44

51

57

63

69

76

82

6. 7988

6. 7994

6. 8001

07

13

19

26

3238'

44

6. 8051

67

63

70

76

82 

89

6. 8095

6. 8101 '07

6. 8114

20

27

33

39

46

52

58

65

71

6. 8177

logF 

diff.lo; = -5.0'

7.501

7. 491

7.481

7.471
CM

rI

o

§

J5

^j

 U

1

H

 ^

rA

GO

<i

p

p

pi

5

"^

OD

o

S5

3 

o

 3

s

'

s 

1

<°

O M

^ «

1 Z

 *S ^

s 5

.3 '^.

o

H

si

vor^

u-i 

CO

rf. !

io^

i 

£

 

w +

I?-!1 

0

i

rt

"1

at

>n

j^.

 5

? +

o ^'

2

d

^^

f~i 1

CX) ||

r2a^

o

 3

v_ ..

"r^

s

^

^J

r^ to '

"* 2

S °S§ Or-iCN CO ^TTlOtOtO r~COCOOO Or-ir-iCNCO CO-^lClC-^ JJC~COOO CPOi-lCNCN 

CO OOOO OO 00 00 CO CO CO

to tots to to to -o to to

trJ TT<-TCO COCOCOCNCN CN CN iH i i i i i ii ICOOO OOOOO COOOOOOOCO r>I>C^t-tO to'tO to UtJ lO

CN C^i CN CN M

COCO~^ -^^TH lOlOmtOtO tot^t^-r^CO OOCO&SOC^ OOOr-ir-3 i-HCNCNCCCO COT^TTiO in intOtOtO

t* t c^ t- t^-

I i . I i T i I i I !

|33§§ S|SSS SS^ScN .S§i«& §S^g§ SSggS gSS?S S2S|i8

cs odes ocsci c^ocs cid

00 OOOO OO OOOO OO OOOO OO OOOO

S SS S c SS ° 88 S SS

CO COCO CO t-^ OOOO CO OOCO CO ' COCO

0

Ci Ci O OO CO

T*H -^ -^i -^ r^

OO OO . OO CO CO

oo oo coco co

^ O T ( CN CC -^ lOCOr^OOCi O i ! C<J CO -^ tOOt^-COCi O^-'CNCO-^ iO^Or^-X>O Oi iC^CO^ idOt^-OOCT

O O r-i r-i iH Ir-i i i i-i r-i r-i i i-i MCNCMO1CN C^CNCNC^C^ COCOCOCCCO COCOCOCOC

o to

 
258 GEOGEAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 67°.

[BULL. 234.

Lat.

o /

67 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

-42

43

. 44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0.05

8. 508 4776

73

70

66

63

60

57

64

51

48

8. 508 4745

42

39

36

33

30

26

23

20

17

8. 508 4714

1108 '

05

8. 508 4702

8. 508 4699

96

93

90

87

8. 508 4684

81

78

75

72

"68

65

62

59

56

8. 508 4653

5047-

44

41

38

35

32

29.

26

8. 508 4623

20

17

14

11

08

05

8. 508 4602

8. 508 4599

96

8.508 4593

logB 

difi.l"=-0.15

8. 508 9292

83

73

64

55

46

36

27 

18

8. 508 9208

8. 508 9199

90

81

72

62

53

44

' 3526

16

8.508 9107

8. 508 9098

89

80

71

62

52

43

34

25

8.508 9016

8. 508 9007

8. 508 8998

88

79

70

61

 52

43

34

g. 508 8925

16

8. 508 8907

8. 508 8898

89

80

71

6253'

44

8. 508 8834

25

16

8. 508 8807

8. 508 8798

89

SO

71

62

54

8. 508 8745

logC 

diff.l"=+0.59

1. 77410

445

480

515

550 .

585

620

656

691

726

1. 77761

796

831

867

902

937

1. 77973

1.78008

043

079

1.78114

149

185

220

256

291

327

362

398

433

1. 78469

505

540

576

612

647

683

719

755

790

1.78826

862

898

934

1. 78970

1. 79006

042

078

114

150

1. 79186

222

258

294

330

366

402

438

474

511

1. 79547

logD 

d iff. 1"= -0.04

2. 2506

03

2.2501

. 2.2498

96

93

91

89

86

84

2. 2481

79

76

74

71

69

66

64

61

59

2. 2456

54

51

49

46

44

41

39

36

34

2. 2431

29

26

24

21

li)

16

14

11

09

.2. 2406

03

2.2401'

2. 2398

96

93

91

88

86 83

2. 2380

78

75

73

70

67

65

62

60

57

2. 2354

logE 

diff.l"=+0.11

6.8567

 74 

80

87

6. 8594

6. 8600

07

14

20

27

6.8634

40

47

54

60

67

74

80 ' 87

6.8694

6.8700

07

14

20

27

34

41

47

54

61

6. 8768

74

81

88

6.8795

6. 8802

08

15

22

29

6.8835

42

49

56

63

70

76

83

90

6. 8897

6. 8904

1017 

24

31

38

45

52

59

65

6. 8972

logF 

diff.lO'=-5.6'

7.440

7.429

7.418

7.406
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued. 

LATITUDE 68°.

259

Lat.

o / 

68 00

1

2

3

4

05

6

7

8

9

JO

11

12

13

l/l

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59.

60

log A 

cl iff. 1"= -0.05

8. 508 4593

90

87

84

81

78

76

73

70

67

8. 508 4564

61

58

55

52

49

46

43

40

37

8. 508 4534

31

28

25

22

19

16

13

10

07

8. 508 4504

'8.508 4501

8. 508 4499

96

93

90

87

84

81

78

8. 508 4475

72

70

67

64

61

58

55

52

49

8. 508 4446

43

40

38

35

32

29

26

23

20

8. 508 4417

logB 

clilT.l"=-0.15

8. 508 8745

36

27

18

09

8. 508 8700

8. 508 8691

82

73

64

8. 508 8656

47

38

29

20

11

8. 508 8602

8. 508 8593

84

75

8.508 8566

58

49

40

31

22

13

8. 508 8505

8. 508 8496

87

8. 508 8478

69

60

52

43

34

25

17

8. 508 8408

8.508 8399

8.508 8390

82

73

64

56

47

38

30

21

12

' 8. 508 8303

8. 508 8295

86

77

B8

60

51

43

3=1

25

8.508 8217

logC 

cliff. 1"=+0.62

1. 79547

583

620

656

692

728

765

801

838

874

. 1.79911

947

1. 79984

1. 80020

057 .

093

130

166

203

240

1. 80276

313

350

387

423 '

460

497

534

571

608

1.80645

682

719

756

793

830

867

904

941

1. 80978

1. 81015

052

089

127

164

201

239

276

313 '

350

1.81388

425

463

500

533

575

613

650

688

726

1. 81763

logD 

cliff. 1"=-0.4

2. 2354

52

49

47

44

41

39

36

33

31

2. 2328

26

23

20

18

15

12

10

07

04

2. 2302

2.2299

96

94

91

8885 '

83

80

77

2. 2275

72

69

67

64

61

58

56

53

50

2. 2248

46

42

39

36

34

31

28

26

23

2. 2220

17

14

12

09

06

03

2. 2201

2. 2198

95

2. 2192

log E log F 

cliff. 1"=+0.12 cliff. 10'=.- -5.9

6. 8972 7. 406

79

86

6. 8993

6. 9000

07

14

21.

.28

35

6. 9042

48

55

62

69

76

83

90

6. 9097

6. 9104

6. 91.11 7. 395

18

25

32

39

46

53

60

67

74

6. 9181.

88

6. 9195

6. 9203

10

17

24

81

38

45

7.383

6. 9252

59

6673 '

80

88

 6. 9295

6.9302

09

16

6. 9323

30

37

45

52

59

66

73

80

88

6. 9395 7. 371
260 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 69°.

[BULL. 234.

 Lat.

o '

69 00

1

2

3

4

05

6

 7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45 ' 46

47

48

49

50

51

52

53

54

55

56

57

58.

59

60

log A 

cliff. 1"=-0.05

8. 508' 4417

14

12

09

06

03

8. 508 4400

8. 508 4397

94

92

8. 508 4389

86

83

80

77

74

71

69

66

63

8. 508 4360

57

55

52

49

46

43

40

37

.35

8. 508 4332

29

26

23

21

18

15

12

09

06.

8. 508 4304

8. 508 4301

8. 508 4298

' 95

93

90

87

84

81

79

8. 508 4276

73

70

67

65

62

59

56

54

51

8. 508 4248

log B 

cliff. 1"=-0.14

0 .

8. 508 821.7

08

8. 508 8200

8. 508 8191

82

- ' 74

65

57 

48

39

8. 508 8131 " 22

14

8. 508 8105

8. 508 8096

88

79

710°

5-1

8. 508 8045

37

28

20

11

8. 508 8003

8.508 7994

86 77

69

8. 508 7960

52

43

35

26

18

09

8.508 7901

8. 508 7893

84

8.508 7876

67

59

51

42

34

26

17

09

8. 508 7801

8.508 7792

84

75

67

59

50

42

34

25 ' 17

8. 508 7709

log C 

cliff. 1"= +0.64

1. 81763

801

838

876

914

952

1.81989

1. 82027

065

103

1. 82141

179

217

255

293

<wn OOv

- 369

407

445

483

1. 82521

559

597

636

674

712

750

789

827

. 865

1. 82904

942

1. 82981.

1. 83019

058

096

135

173

212

250

1. 83289

328

366

405

444

483

521

560

599

638

1. 83677

716

755

794

833 .

872

911

950

1. 83989

1. 84028

1.84068

log D 

cliff.,l"=-0.05

2. 2192

89

87

84

. 81

78

75

72

70

67

2. 2164

61

5855 '

53

50

47

44

41

38

2. 2136

33

30

27

24

21

18

15

12

10

2. 2107

.04

2. 2101

2. 2098

95

92

89

86

83

80

2. 2078

75

72

69

66

63

60

57

54

51

2. 2048

45

42

39

36

33

30

27

24

21

2. 2018

log E 

cliff. 1"= +0.12

6. 9395

6. 9402

09

16

24

31

38

45

52

60

6. 9467

74

82

89

6. 9496

6.950311

18

25

32

6. 9540

47

54 '

62

69

76

84

91

6. 9598

6. 9606

0. 9613

20

28

35

42

50 ' 57

65

72

79

6. 9687

6. 9694

6. 9702

09

16

24

31

39

: 46

54

6. 9761

69

76 ' 84

91

6. 9799

6. 9806

14

21

29 

6. 9836

'log F 

cliff. 10' = -6.2

7.371

7.358

7.346

7.333
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 70°.

261

Lat.

0 /

70 00

1

2

. 3

4

05

6

 »

8

9

10

11

12

13

14

15

- 10

17

18

19

20

21

22

23

24

25

20

27

28

29

30

31.

32

33

34

35

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

51

52

53

54

55

50.

57

58

59

CO

log A logB 

cliff. 1"=-0.04 cliff. 1"=-0.14

8. 508 4248

45

43

40

37

34

32

29

20

23

8.508 4221

18

15

12

10

07

04

8. 508 4201

8. 508 4199

90

8. 508 4193

90

88

85

82

80

77

74

71 '

09

8.508 4100

03

00

58

55

52

' 50

47

44

42

8.508 4139

30

34

31

28

20

23

20

18

15

8. 508 41 1.2

10

07

04

8. 508 4101

8. 508 4099

90

93

91

88

8.508 4080

8. 508 7709

8. 508 7701.

8.508 7092

84

70

08

59

51

43

35

8. 508 7020

18

10

8. 508 7002

8.508 7594

80

78

09

01

52

8. 508 7544

30

28

20

12

8.508 7504

8. 508 7495

87

79

71

8.508 7402

54

40

38

30

22

14

8. 508 7400

8.508 7398

90

8.508 71382

74

GO

68

50

42

34

20

18

10

8. 508 7302 "

8.508 7294

80

77

09

01

53

45

38

30

8.5087222

logC 

cliff. 1"= +0.07

1 . 84008

107

1.40

1.85

225

204

303

343

382

421.

1.84401

500.

540

579

019

058

098

738

778

817

1.84857

897

937

1.84970

1. 85010

050

090

130

170 210'

l.a525C

290

330

370

410

450

497

537

577

018

1.85058

098

739

779

819

800

900

941

1. 85981

1.80022

1 . 8COC3

103

1.44

185

225 

200

307

348

389

430

1. 80470

logD 

cliff. 1"= -0.05

2. 2018

15

12

09

00

03

2. 2000

2. 1997

94

91

2. 1988

85

82

79

76

73

70

00

03

00

2. 1957

54

61

48 

45

42

39

30

33

29

2.1920

23

20

17

14

11

08

04

2. 1.901

2. 1898

2.1895

92

89

85

82

79

70

73

70

GO

2. 1803

00

57

54

50

47

44

41

38

34

2.1831

log E log F 

cliff. 1" = +0.13 cliff.lO'=-6.7

0. 9836

44 '

51

59

60

74

81

89

0. 9896

0. 9904

0. 9912

19

27

34

42

50

57

05 .

73

80

G.9988

0. 9995

7.0003

11

18

20

34

41

49

57

7.0004

72

80

88

7.0095

7. 0103

11

. 19

20

34

7. 0142

60

57

05

73

81

88

7.0190

7. 0204

12

7. 0220

27

35

43

51.

59

07

75

82

90

7.0298

7. 333

7.320

7.307

7.293 '
262 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 22. Geodetic position computations Continued.

LATITUDE 71°,

[BULL. 234.

Lat.

o / 

71 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

' 51

52

53

54

55

50

57

68

59

60

log A 

diff.l" = -0.04

8. 508 4086

83

80

78

75

72

70

67

64

62

8. 508 4059

57

54

51

49

46

43

41

38

36

8. 508 4033

30

28

25

23

20

17

15

12

10

8.508 4007

05

8. 508 4002

8. 508 3999

97

94

92

89

86

84

8. 508 3981

79

76

74

71

68

. 66

63

61

58

8. 508 3956

53

51

48

46

43

41

38

36

33

8. 508 3930

logB 

diff.l" = -0.13

8. 508 7222

14

8.508 7206

8. 508 7198

90

82

74

66

58

50

8. 508 7142

34

27

19.

11

8. 508 7103

8. 508 7095

87

79

72

8. 508 7064

56

48

40

S3

25

17

09

8.508 7002

8. 508 6994

8. 508 6986

78

71

63

55

47 

40

32

24

16

8.508 6908

8.508 6901

8.508 6893

85

78

70

62

55

47

40

8. 508 6832

24

17

09

8.508 6802

8.508 6794

86

79

71

64

8. 508 6756

logC 

diff.l»=+0.70

1. 86470

511

.. 552

 593

634

675

717

758

799

840

1. 86881

 923

1. 86964

1.87005

046

088

129

171

212

254

1. 87295

337

378

420

462

503

545

587

629

671

1. 87712

754

796

838

880

922

1. 87964

1.88006

049

091

1.88133

175

217

260

302

344

387

429

472

514

1.88557

599

642

685

727

770

813

855

898

941

1.88984

logD 

diif.l"=-0.05

2. 1831

28

25

21

18

15

12

08

05

2. 1802

2. 1799

95

92

89

86

8279"

76

72

69

2. 1766

62

59

56

52

49

46

42

39

36

2. 1732

29

26

22

19

16

12

' 0906

2. 1.702

2. 1699

95

92

89

85

82

78

75

 72

68

2.1665

61

58

54

51

48

44

41

37

34

2. 1630

log E log F 

diff.l"=+0.13 cliff. 10"= -7.2

7. 0298 7. 293

7.0306

14

22

30

38

46 0

54 °

62

70

7. 0378

85

7.'0393

7. 0401

09

17

25

33

41

49

7. 0457 7. 279

65

73

82

90

7. 0498

7. 0506

14

22

30

7. 0538

46

54

62

70

79,

87

7. 0595

7.0603

11

7.0619 ' 7.265

27

36

44

52

60

68

77

85

7. 0693

7. 0701

0918 '

26

34

42

51

59

67

75

7.0784 7.250
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

Table of values of Log sec £

263

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

20

27

log sec i

(A9 )

0.000 000

1

1

11

1

1

1

1

2

2

2

2

2

3

3'3

3

t\<p

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

log sec £

(A<p)

0.000 004

4

4

4

5

5

5

6

6

6

7

7

7

8

8

8

9

9

Afp

40

47

48

49

50

51

52

53

54

55

' 56

67

58

59-

60

61

62

03

log sec £

0. 000 010

10

11

11

11

12

12

13

13

14

14

15

15

10

10

17

18

18

Acp

04

05

00

07

08

09

70

71

72

73

74

75

70

77

78

79

80

81

log sec i 

(A9)

0. 000 019

19

20

21

21

22

22

23

24

24

25

20

26

27

28

29

29

30

A <p

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

log sec i

. 0. 000 031

32

32

33

34

35

36

36

37

38

39

40

41

41

42

43

44

45

To convert:

Meters to feet.

1

2

3

4

5

0

7

8

9

= 3. 280 833

0. 501 607

9. 842 500

13. 123 333

16.404 106

19.685 000

22. 965 833

. 26. 246 600

29. 527 500

Feet to meters.

1 =

2

3

4

5

0

7

8

9

0. 304 8006

0. 009 6012

0. 914 4018

1.219 2024

1.524 0030

1. 828 8037

2.133 0043

2.438 4049

2. 743 2055

To convert:

Kilometers tostat1

2

3

4

5

6

7

8

9

ute miles.

= 0.021 3099

1. 242 7399

1 . 864 1098

2. 485 4798

3. 106 8497

3. 728 2196

4. 349 5896

4.970 9595

5. 592 3295

Statute miles to

1

2

3

4

5

6

7

8

9

kilometers.

= 1. 009 347

3. 218 094

4. 828 042

0.437 389

8. 040 730

9. 656 083

11. 265 430

12. 874 778

14. 484 125
264 GEOGRAPHIC TABLES AND FOUMULAS. [BULL.284. 

Table of corrections to longitude for difference in arc and sine.

logs(-)

3.876

4.02C

4.114

4.177

4. 225

4. 265

4. 298

4.327

4.&53

4.376

4.396

4.415

4.433

4.449

4.464

4.478

4.491

4! 503

4.526

4.548

4.570

4.591

4.612 .

4. 631

4.649

4.667

4. 684

4.701

4.716

4.732

4.746

4. 761

4.774

4.788

4.801.

4.813

4.825

4.834

4.849

4. 860

log difference.

0. 000 0001

02

03

04

05

06

07

08

09

10

11

32

]3

14

15

16

17

18

20

23

25

27

30

33

36

39

42

45

48

52

56

59

63

67

71

75

80

84

89

94

logAA.( + )

2.385

2.535

2.623

2.686

2. 734

2.774

2.807

2. 836

2.862

2.885

2.905

2.924

2.942

2.958

2. 973

2.987

3.000

3.012

3.035

3.057

3. 079

3.100

3.121

3.140

3. 158

3.176

3.193

3.210

3.225

3.241

3.255

3.270

3.283

3.297

3. 310

3.322

3.334

3.343

3.358

3.369

log s ( - )

4. 871

4. 882

4.892

4.903

4.913

4.922

4.932

4:941

4.950

4.959

4.968

4.976

4.985

4.993

5.002

5.010

5.017

5.025

5. 033

5.040

5.047

5.054

5.062

5. 068

5.075

5. 082

5.088

5. 095

5. 102

5.108

5. 114

5.120

5.126

5. 132

5.138.

5. 144

5. 150

5. 156

5. 161

5. 167

log difference.

0. 000 0098

103

108

114

119

124

130

136

142

. 147

153

160

166

172

179

186

192

199

206

213

221

228

236

243

251

259

267

275

284

292

300

309

318

327

336

345

354

364

373

383

logAA. (.+ )

3.380

3.391

3. 401

3.412

3. 422

3.431

3.441

3.450

3.459

3.468

3.477

3.485

3.494

3.502

3.511

3. 519

3.526

3.534

3.542

3.549

3.556

3.563

3.571

3.577

3.584

3.591

3.597

3.604

3.611

3.617

3. 623

3.629

3.635

3.641

3.647

3.653

3. 659

3.665

3.670

3.676

logs(-)

5. 172

5.178

5. 183

5.188

5.193

5.199

5.204

5.209

5.214

5.219

5.223

5.228

5.233

5.238

5. 242

5.247

5.251

5.256

5.260

5.265

5.269

5.273

5.278

5.282

5.286

5.290

5.'294

5.299

5.303

5.307

5.311

5. 315

5.319

5.323

5.327

5. 331

5.335

5.339

5. 343

5. 347

log difference.

0. 000 0392

402

412

422

433

443

453

464

474

486

497

508

519

530

541

553

565

577

588

600

613

625

637

650

663

674

 687

702

716

729

743

757

771

 785

800

814

829

845

861

877

logAA ( + )

3. 681

3.687

3. 692

3. 097

3.702

3.708

3. 713

3.718

3.7213

3.728

3. 732

3. 737

3.742

3.747

3.751

3.756

3.760

3. 765 .

3.769

3.774

3.778

3. 782 '

3.787

3.791

3.795

3.799

3.803

3.808

3.812

3. 816

3.820

3.824

3.828

3.832

3.836

3.840

3.844

3.848

3. 852

3.856

INVERSE SOLUTION.

HAVING LATITUDES AND LONGITUDES OF Two POINTS. TO COMPUTE A/IMUTHS AND

DISTANCES.

The following example shows the method of performing the operation. The northernmost point should be used as the initial position, 

then all signs for (I), (II), and (III) are + , and for (IV) -. The 

value of A\ may be either -f- or , but this sign need only be used 

in determining in which quadrant the azimuth angle a falls, i. e., the 

sign of tan a (12). An inspection of a rough plat of the positions 

will also determine this. The correction to A\. is found from a 

distance scaled off from the plat, and need not be very close. In 

(8) the term (I+1I)2 is the square of the difference of latitude Ay in 

seconds. Since (IV) is always small, log (I) in (8) may be taken as 

log of Acp from (1). If cos a is smaller than sin tf, find s from 

log s cos a in (11). As a check on the work compute the second
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 265

position, using distance and azimuth found as above. The order of 

solution is shown by figures in parentheses. The cosines of latitudes 

are proportional to the intercepted parallels.

Latitude = <p = 38° 23' 27" .00 Given. 

<p' = 37 45 09 .30 Given.

A<p = 38' 17" .70

=2297".70 (1) 

log A <p = 3.3612933 

log C = 1.30300 

log S2 sinsa = 8.75770

log (II) O.OC130 (7)

(II) = 1" .152 

log D = 2.3812 

log (I + 11)2 = C.722C

log (III) 9.1038 (8)

III = 0" .13

log E = G.0711.

log S2 sin2 a = 8.7577

log I = 3.3613

log IV = 8.1901 (9) 

IV = -" .02

(II) = + 1.15"

(III) = + 0.13 

IV = - .02

Sum = + 1.2C" (10) 

A y .= 2297.70

(I) = 2296.44

Longitfifle

A A

= 104° 32' 48" .20 Given 

 104 49 05 .50 Given

= 16' 17" .30 +

= 977" .30 + (2) 

log A A = 2.9900279

log .A A correction = + 16 

logS (scaled distance) correction = 99

(apply with opposite sign) 83 (3) 

log A A' = 2.9900362 (4) 

log A' = 8.5091750 (5) 

Sec <p' = 0.1020092

8.6111842 (+) 

log A A' = 2.9900362 (+)

log S sin a = 4.3788520 ( + ) (G) ' 

log S cos a = 4.8500742 (+) (11)

sin a

 = tan a = 9.5287778 (12)

COS a

log (I) = 3.3610475 

log (B) = 8.5109733

log S cos a = 4.8500742 (1.1) 

Azimuth = a = 18° 40' 10" .8 (13) 

log S sin a = 4.3788520 

log sin a = 9.5053013

log distance = log S = 4.8735507 (14)
266 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 234.

TABLE 23. Log m, for use in computing spherical excess. 

[Computed for the Clarke spheroid of 1866-1

Lat.

0 /

0 00

0 30

1 00

1 30

2 00

2 30

3 00

3 30

4 00

4 30

5 00

5 30

6 00

6 30

7 00

7 30

8 00

8 30

9 00

9 30

10 00

10 30

11 00

11 30

12 00

12 30

13 00

13 30

14 00

14 30

15 00

15 30

16 00

16 30

1.7 00

1.7 30

18 00

1.8 30

19 00

19 30

20 00

20 30

21 00

21 30

22 00

22 30

23 00

23 30

24 00

24 30

Log rn.

1.40695

1. 40695

1. 40695

1. 40694

1. 40694

1. 40694

1. 40693

1. 40693

1. 40692

1. 40691

1. 40690

1. 40689

1.40688

1. 40687

1. 40686

' 1. 40685

1.40683

1. 40682

1. 40680

1.40679

1.40677 .

1. 40675

1. 40673

1. 40671

1. 40669

1. 40667

1. 40665

1.40663

1. 40660

1. 40658

1. 40655

1. 40653

1. 40650

1. 40647

1.40644

1. 40642

1.40639

1. 40636

1. 40632

1. 40629

1. 40626

1.40623

1. 40619

1. 40616

1. 40612

1.40608

1. 40605

1. 40601

1. 40597

1. 40594

Lat.

0 ' /

25 00

25 30

26 00

26 30

27 00

27 30

28 00

28 30

29 00

29 30

30 00

30 30

 31 00

31 30

32 00

32 30

33 00

33 30

34 00

34 30

35 00

35 30

36 00

36 30

37 00

37 30

38 00

38 30

39 00

39 30

40 00

40 30

41 00

41 30

42 00

42 30

43 00

43 30

44 00

44 30

45 00

45 30

46 00

46 30

47 00

47 30

48 00

48 30

49 00

49 30

Log m.

1.40590

1. 40586

1. 40582

1. 40578

1.40573

1. 40569

1. 40565

1. 40560

1. 40556

1. 40552

1.40548

1.40544

1. 40539

1. 40534

1. 40530

1. 40525

1.40520

1. 40516

1. 40511

1. 40506

1. 40501

1. 40496

1. 40491

1. 40486

1. 40482

1. 40477

1. 40472

1. 40467

1. 40462

1. 40457

1.40452

1. 40446

1. 40441

1.40436

1. 40431

1. 40426

1. 40421

1. 40416

1. 40411

1. 40406

1.40400

1. 40395

1. 40390

1. 40385

1. 40380

1. 40375

1. 40369

1. 40364

1. 40359

1. 40354

Lat.

o /

50 00

50 30

51 00

51 30

52 00

52 30

53 00

53 30

54 00

54 30

55 00

55 30

56 00

56 30

57 00

57 30

58 00

58 30

59 00

59 30 .

60 00

60 30

61 00

61 30

62 00

62 30

63 00

63 30

64 00

64 30

65 00

65 30

66 00

66 30

67 00

67 30

68 00

68 30

69 00

69 30

70 00

70 30

71 00

71 30

72 00

Log m.

l.*40349

1. 40344

1. 40339

1. 40334

1. 40329

1.40324

1. 40319

1. 40314

1. 40309

1. 40304

1. 40299

1. 40295

1. 40290

1. 40285

1. 40280

1. 40276

1.40271

1. 40266

1. 40262

1. 40257

1. 40253

1. 40249

1. 40244

1. 40240

1. 40235

1. 40231

1.40227

1. 40223

1. 40219

1. 40215

1. 40210

1. 40207

1. 40203

1. 40199

1.40195

1.40192

1.40188

1. 40185

1. 40181

1. 40178

1. 40174

1. 40171

1. 40168

1. 40164

1. 40161
GANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 267

APPKOXIMATE SPHERICAL EXCESS.

This may be obtained by dividing the area o:l! the 

miles by 75.5.

TABLE 24. Mean refraction.

e in square

IIoS*^ 

CW3

^

O /

00

10 

20 

30 

40 

50

10

10 

20 

30 

40 

50

20

10 

20 

30 

40 

50

30

10 

20 

30 

40 

50

40

.1.0 

20 

30 

40 

50

50

10 

20 

30 

40 

50

60

10 

20 

30 

 40 

50.

70

Refraction.

/ // 

34 54.1

32 49.2 

30 52.3 

29 3.5 

27 22.7 

25 49.8

24 24.6

23 6.7 

21 55.6 

20 50.9 

19 51.9 

18 58.0

18 8.6

17 23.0 

16 40.7 

16 0.9 

15 23.4

14 47.8

14 14.6

13 43.7 

13 15.0 

12 48.3 

12 23.7 

12 0.7

11 38.9

1118.3. 

10 58.6 

10 39.6 

10 21.2 

10 3.3

946.5

930.9 

916.0 

9 1.9 

848.4 

8 35.6

823.3

811.6 

8 0.3 

749.5 

7 39.2 

729.2

719.7

n

124.9 

116.9 

108.8 

100.8 

92.9 

85.2 

77.9 

71.1 

64.7 

59.0 

53.9 

49.4 

45.6 

42.3 

39.8 

37.5 

35.6 

33.2 

30.9 

28.7 

26.7 

24.6 

23.0 

21.8 

20.6 

19.7 

19.0 

18.4 

17.9 

16.8 

15.6 

14.9 

1-1.1 

13.5 

12.8 

12.3 

11.7 

11.8 

10.8 

10.3 

10.0 

9.5

a^

2? cj-£ 

O.S fU-2 <*

0 /

70

10 

20 

30 

40 

50

80

10 

20 

30 

40 

50

90

1.0 

20 

30 

40 

50

100

10 

20 

30 

40 

50

110

10 

20 

30 

40 

50

120

10 

20 

30 

40 

50

130

10 

20 

30 

40 

50

140

Refraction.

/ n 

719.7

7 1.0.5 

7 1.7 

653.3 

645.1 

637.2

6 29.6

622.3 

615.2 

6 8.4 

6 1.8 

555.4

5 49.3

543.3 

537.6 

532.0 

526.5 

521.3

516.2

5 11.2 

5 6.4 

5 1.7 

457.2 

452.8

448.5

444.3

440.2 

436.3 

4 32.4 

428.7

425.0

4 21.4 

4 18.0 

4 14.6 

4 11.3 

4 8.1

4 4.9

4 1.8 

3 58.8 

3 55.9 

353.0 

3 50.2

347.4

//

9.2 

8.8 

8.4 

8.2 

7.9 

7.C 

7.3 

7.1 

6.8 

6.6 

6.4 

6.1 

6.0 

5.7 

5.6 

5.5 

5.2 

5.1 

5.0 

4.8 

4.7 

4.5 

4.4 

4.3 

4.2 

4.1 

3.9 

3.9 

3.7 

3.7 

3.6 

3.4 

3.4 

3.3 

3.2 

3.2 

3.1 

3.0 

2.9 

2.9 

2.8 

2.8

C«

2? cd -^ ft*3 ^T? -* 03

0 /

140

20 

40

150

20 

40

160

20 

40

170

20 

40

.180

20 

40

190

20 

40

200

20 

40

210

20 

40

220

20 

40

230

20 

40

240

20 

40

250

20 

40

260

20 

40

270

20 

40

280

Refraction.

/ // 

 3 47.4

342.1 

337.0

3 32.1

327.4 

322.9

3 18.6

3 14.5 

3 10.5

3 6.6 

3 2.9 

259.3

255.8

252.5 

249.3

2 46.1

2 43.1 

2 40.2

237.3

234.5 

231.9

229.3

226.8 

224.3

2 21.9

2 19.6 

2 17.4

2 15.2

2 13.0 

2 .1.0.9

2 8.9

2 7.0 

2 5.1

2 3.2

2 1.4 

159.6

157.8

1. 56.1 

1 54.4

1. 52.8

1 51.2 

149.7

1 48.2

n 

5.3 

5.1 

4.9 

4.7 

4.5 

4.3 

4.1 

4.0 

3.9 

3.7 

3.6 

3.5 

3.3 

3.2 

3.2 

3.0 

2.9 

2.9 

2.8 

2.6 

2.6 

2.5 

2.5 

2.4 

2.3 

2.2 

2.2 

2.2 

2.1. 

2.0 

1.9 

1.9 

1.9 

1.8 

1.8 

1.8 

1.7 

1.7 

1.6 

1.6 

1.5 

1.5

§1n 3

as r*

o /

280

20 

40

290

20 

40

300

20 

40

310

20 

40

320

20 

40

330

20 

40

340

20 

40

350

20 

40

360

20 

40

370

20 

40

380

20 

40

390

20 

40

400

20 

40

410

20 

40

420

Refraction.

/ // 

148.2

1 46.7 

1 45.3

1 43.8

1 42.4 

1 41.0

139.7

138.4 

1 37.1

1 35.8

1 34.5 

133.3

1 32.1

1 30.9 

129.8

1 28.7

127.6 

126.5

1 25.4

1 24.3 

1 23.3

1 22.3

1 21.3 

1 20.3

1 19.3

1 18.3 

1 17.4

1 16.5

1 15.6 

1 14.7

1 13.8

1 12.9 

1 12.0

1 11.2

110.3 

1 9.5

1 8.7

1 7.9 

1 7.1

1 6.3

1 5.5

1 4.7

1 4.0

n 

1.5 

1.4 

1.5 

1.4 

1.4 

1.3 

1.3 

1.3 

1.3 

1.3 

1.2 

1.2 

1.2 

1.1 

1.1 

1.1 

1.1 

1.1 

1.1 

1.0 

1.0 

1.0 

1.0 

1.0 

1.0 

0.9 

0.9 

0.9 

0.9 

0.9 

0.9 

0.9 

0.8 

0.9 

0.8 

0.8

A Q

0.8 

0.8 

0.8 

0.8 

0.7

"S a> S-c 

SD

O.*3

< Q.T; *

0

42 

43 

44 

45 

46

47 

48 

49 "50" 

51 

52 

53

54 

55 

56

57 

58 

59 

60

61 

62 

63

64 

65 

66

67 

68 

~ 

69 

71 

72 

73

74 

75 

76 

77 

78 

79 

80

81 

82 

86 

90

Refraction.

// 

64.0 

61.8

59.7 

57.7 

55.7

53.8 

51.9 

50.2

48.4

46. Y 

45.1 

 43.5

41.9 

40.4 

38.9

37.5 

36.1 

34.7 

33.3

32.0 

30.7 

29.4

28.2 

26.9 

25.7

24.5 

23.3 

22.2 1O" 

19.9 

18.8 

17.7

16.6 

15.5 

14.5

13.4 

12.3 

11.2

10.2

9.1 

8.1 

4.1 

0.0

a

2.2 

2.1 

2.0 

2.0 

1.9 

1.9 

1.7 

1.8 

1.7 

1.6 

1.6 

1.6 

1.5 

1.5 

1.4 

1.4 

1.4 

1.4 

1.3 

1.3 

1.3 

1.2 

1.3 

1.2 

1.2 

1.2 

1.1 

1.2 

1.1 

1.1 

1.1 

1.1 

1.1 

1.0 

1.1 

1.1 

1.1 

1.0 

1.1 

1.0 

4.0 

4.1
268 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234.

TABLE 25. Corrections for curvature and refraction, in feet=0.<574 {distance, miles} 2 . 

[Difference in feet between the apparent and true level at distances varying1 from 1 to 6(J miles.]

Distance, 

miles.

1

2

3

4

5

6

7

8

9

10 

11

12

13

14

15

16

17

18

19

20

21

22.

23

24

25

26

27

28

29

30

31

32

33

Difference in feet for 

Curvature.

0.7

2.7 

6.0

10,7

. 16.7

24.0

32.7

42 7

54.0

66.7

80.7

96.1

112.8

130. 8

150. 1

170. 8

192. 8

216.2

240.9

266.9

294. 3

322. 9

353. 0

384. 3

417. 0

451. 1

486.4

523. 1

561.2

600.5

641. 2

683. 3

726.6

Refraction.

0.1

0.4

0.8

1.5

2.3

3.4

4.6

6.0

7.6

9.3

11.3

13.4

15.8

18.3

21.0

23.9

27.0

30. 3

33. 7

37.4

41.2

45.2

.49.4

53.8

58.4

63.1

68.1

73.2

78.6

84.1

89.8

95.7

101.7

Curvature 

and 

refraction.

.0.6

'2.3 j

5.2-

9.2

14. 4

20.6

28.1

"36.7

46. 4

57.4

69.4

82.7

97.0

112.5

129. 1

146. 9

165. 8

185. 9

207.2 '

229.5

253. 1

277.7

303.6

330.5

358. 6

388. 0

418. 3

449.9

482. 6

516. 4

551.4

587.6

624.9

Distance, 

miles. .

34

35

36

37

38

39

40

41

42.

43

44

45

46

47

48

49

50

51

 52

5354'

55

56

57

58

59

60

61

62

63

64

65

66

Difference in feet for 

Curvature.

771. 3

817. 4

864.8

913. 5

963. 5

1, 014. 9

1, 067, 6

1, 121. 7

1,177.0 '

1, 233. 7

1, 291. 8

1,351.2

1,411.9

1, 474. 0

1, 537. 3

1, 602. 0

1, 668. 1

1, 735. 5

1, 804. 2

1,874.3

1, 945. 7

2, 018. 4

2, 092. 5

2, 167. 9

2, 244. 6

2, 322. 7

2, 402. 1

2,482/8

2, 564. 9

2, 648. 3

2, 733. 0

2, 819. 1

2, 906. 5

Refraction.

108.0

114. 4

121. 1

127. 9

134. 9

142.1

149.5

157.0

164.8

172. 7

180. 8

189. 2

197. 7

206. 3

215 2

224. 3

233. 5

243. 0

252. 6

262.4

272. 4

282. 6

292. 9

303.5

314. 2

325. 2

336. 3

. 347. 6

359.1

370.8

382.6

394. 7

406.9

Curvature 

and 

refraction.

663. 3

703. 0

743. 7

785.6 

828. 6

872.8

918. 1

964.7

1, 012. 2

1,061.0

1, 111. 0

1, 162. 0

1,214.2

1,267.7

1,322.1

1, 377. 7

1, 434. 6

1, 492. 5

1, 551. 6

1, 611. 9

1, 673. 3

1, 735. 8

1, 799. 6

1,864.4

1,930.4

1, 997. 5

2, 065. 8

2, 135. 2

2, 205. 8

2, 277. 5

2, 350. 4

2, 424. 4

2,499.6
OANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 269 

TABLE 26. Fou OBTAINING JJIKKEKENCKS OK ALTITUDE KOK ANY MINUTE UP TO 15

DEGREES, AND KOK ANY DISTANCE. 

[Prepnrodfoy Arthur P. Duvis.]

EXPLANATION OK TABLE.

The left-hand column is the minutes of the vertical angle, the 

degrees being denoted by the large number at top of page. The boldface figures at top of column-is the distance in miles! Numbers in the. 

body of the table denote the difference of elevation corresponding to 

the angle on the left and the distance at top. The correction for 

curvature, refraction, and height of instrument is always plus; it therefore increases the difference of level for angles of elevation, and is 

subtracted from the difference of level for angles of depression.

.Exam/pie. Required the difference of altitude corresponding to a 

vertical angle of + 9° 18' at a distance of 3.628 miles. On page 253 

the tabular number corresponding to 9° 18' and 

 Feet. 

A distance of 3 miles is ........... ........................................ 2,.594

For a distance Of 6 miles is 5,188 for 0.6 is therefore ....................... 519

For a distance of 2 miles is 1,729 for 0.02 is therefore ..;................... 17

For a distance of 8 miles is 6,917 for 0.008 is therefore ...................... 7

Correction for curvature, refraction, and height of instrument for 3.6 miles is + 12

Total difference of altitude ......................:...L.............-}- 3,149
270 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

0°.

1

2

3

4

5

6

7

8

9

10

11.

12

13

14

1.5

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

1.5

. 3.1

4, fl

6.1

7.7

9.2

10.8

12.3

13.-8

15.4

16.9

18.4

20.0

21.5

23.0

24.6

26.1

27.6

29.2

30.7

32.3

33.8

35.3

36.9

38.4

39.9

41.5

43.0

44.5

46. 1

47.6

49.2

50.7

52.2

53.8

55.3

56.8

68.4

59.9

61.4

63.0

64.5

66.0

67. 6

69.1

70.6

72.2

73.7

75.3

76.8

78.3

79.9

81.4

82.9

84.5

86.0

87.5

89.1

90.6

92.2

2

3.1

6.1

9.2

12.3

15.4

18.4

21.5

24.6

27.6-

30.7

33.8

36.9

39.9

43.0

46.1

49.1

52.2

55.3

.58.4

61.4

64.5

67.6

70.7

73.7

76.8

79.9

82.9

86.0

89.1

92.2

95.2

98.3

101.4

104. 4

107. 5

110. 6

113.7

116.7

119.8

122. 9

125. 9

129.0

132.1

135.2

138.2

141.3

144.4

147.5

150. 5

153.6

156.7

159.7

162. 8

165.9

169. 0

172.0

175. 1

178. 2

181.3

184.3

3

5

9

14

18

23

28

32

37

41

46

51

55

60

65

69

74

78

83

88

92

97

101

106

111

115

120

124

129

134

138

143

147

152

157

161

166

170

175

180

184

189

194

198.

203

207

212

217

221

226

230

235

240

244

249

253

258

263

267

272

276

4

6

12

18

25

31

37

43

49

55

61

68

74

80

86

92

98

104

111

117

123

129

135

141

147

154

160

166

172

178

184

390

197

203

209

215

' 221

227

233

240

246

252

258

264

270

276

283

289

295

301

307

313

319

326

332

338

344

350

356

363

369

5

8

1523'

31

38

46

54

61

69

77

84

92

100

108

115

123

331

138

140

354

161

169

177

184

.192

200

207

215

223

230

238

246

253

261

269

276

284

292

300 _

307

315

823

330

338

346

353

361

369

376

384

392

399

407

415

422

430

438

445

453

461

tt

9

18

28

37

46

55

65

74

83

92

101

111

.120

129

138

147

157

166

175

184

194

203

212

221

230

240

249

258

267

276

286

295

304

313

323

332

341

350

359

369

378

387

396

405

415

424

433

442

452

461

470

479

488

498

507

516

525

535

544

553

7

11

22

32

43

54

65

75

86

97

108

118

129

140

151

161

172

183

194

204

215

226

237

247

258

269

280

290

301

312

323

333

344

355

366

376

' 387

398

409

419

430

441

452

462

473

484

495

505

516

527

538

548

559

570

581

591

602

613

624

634

645

8

12

25

37

49

61

74

86

98

111.

123

135

147

160

172

184

197

209

221

233

246

258

270

283

295

307

319

332

344

356

369

381

393

405

418

430

442

456

467

479

492

504

516

528

541

553

565

578

590

602

614

627

639

651

664

676

688

700

713

725

737'

!)

14

28

41

55

69

83

97

111

124

138

152

166

180

194

207

221

235

249

263

276

290

304

318

332

346

359

373

387

401

415

429

442

456

470

484

498

512

525

539

553

567

581

594

608

622

636

650

664

677

691

705

719

733

747

760

774

788

802

816

829

Corrections for curvature, refraction, and 

height of instrument."

Miles.

1.6

2.1

2..5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet.

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

63

Miles.

10. 2

10.3

10. 4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11. 2

11. 3

11.4

11.5

31.6

11.7

11.8

11.9

12.0

12. 1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13. 1

13.2

13.3

13.4

'13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.0

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

. 75

77

78

79

SO

82

S3

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

«For all distances under 1.6 miles the correction may Ije taken as +5 feet. Height of instrument 

is assumed 4.5 feet.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 271 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

1°.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

23

29,

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

62

53

54

55

56

57

58

59

60

1

92.2

93.7

95. 2

96.8

98.3

99'.8

101. 4

102. 9

104. 4

106. 0

107. 5

109. 1

110. 6

112. 1

113. 7

115. 2

116. 7

118. 3

119.8

121. 4

122. 9

124.4

126. 0

127.5

129. 0

130. 6

132. 1

133. 6

135. 2

136. 1

138.3

139.8

141. 3

142. 9

144.4

146.0

147. 5

149. 0

150. 6

152. 1

153. 6

155. 2

156.7

158. 2

159.8

161. 3

162. 9

164.4

165.9

167.5

169. 0

170. 6

172.1

173. 6

175. 2

176. 7

178. 2

179.8

181.3

182. 8

184.4

2

184. 3

187.4

190.5

193. 5

196. 6

199.7

202.8'

205. 8

208.9

212. 0

215. 1

21 8. 1

221.2

224. 3

227.3

230. 4

233.5

236. 6

239.6

242. 7

245. 8

248. 9

251.9

255. 0

258. 1

261.2

26-1.2

267.3

270. 4

273.5

276. 5

279. 6

282. 7

285. 7

288.8

291. 9

295.0

298.0

301. 1

304.2

307.3

310.3

313. 4

316. 5

319. 6

322. 6

325. 7

328.8

331.9

334.9

338.0

341. 1

344.2

347.2

350.3

353.4

356.5

359.5

362. 6

365.7

368.8

a

276

281

286

290

295

300

304

309

313

318

323

327

332

336

341

346

350

355

359

364

369

373

378

383

387

392

396

401

406

410

415

419

424

429

433

438

442

447

452

456

461

466

470

475

479

484

489

493

498

502

507

512

516

521

525

530

535

539

544

549

553

4

369

375

381

387

393

399

406

412

41.8

424

430

436

442

449

455

461

467

473

479

485

492

498

504

510

516

622

528

535

541

547

553

559

565

571

578

584

590

596

602

608

615

621

427

633

639

645

651

658

664

670

676

682

688

694

701.

707

713

719

725

731

738

5

461

468

476

484

492

499

507

515

522

530

538

5-15

553

561.

568

576

584

591

599

607

614

622

630

638

645

653

661

668

676

684

691

699

707

714

722

730

737

745

753

760

768

776

784

791

799

807

814

822

830

837

845

853

860

868

876

883

891

899

987

914

922

(>

553

562

571

581

590

599

608

618

627

636

045

654

664

673

682

691

700

710

719

728

737

747

756

765

774

783

793

802

811

820

830

839

848

857

866

876

885

894

903

913

922

931.

940

949

959

968

977

986

996

1,005

1 , 014

1,023

1,032

1, 042

1,051

1,060

1,069

1,079

1, 088

1,097

1,106

7

04B

056

667

677

688

699

710

720

731

742

753

763

774

785

796

806

817

828

839

849

860

871

882

893

903

914

925

936

946

957

968

979

989

3,000

1, Oil

1,022

1,032

1, 043

1,054

1,065

1,075

1,086

1,097

1 , 108

1,118

1, 129

1,140

1, 151

1, 162

1,172

1,183

1, 194

1, 205

1, 215

1,220

1,237

1,248

1, 258

1,269

1,280

1,291

8

737

760

762

774

786

799

811

823

836

848

860

873

885

897

909

922

934

946

959

971

983

995

1, 008

1 , 020

1,032

1, 045

1,057

1,069

1, 082

1,094

1, 106

1,118

1,131

1,143

1,155

1, 168

1,180

1,192

1, 204

1, 217

1,229

1,241

1,25-1

1,206

1,278

1, 291.

1, 303

1,315

1, 327

1, 340

1,352

1,364

1,377

1, 38U

1 , 401

1, 414

1, 426

1,438

1, 450

1,465

1, 475

1)

829

843

867

871

885

899

912

926

940

954

908

982

995

1,009

1,023

1,037

1,051

1,005

1,078

1, 092

1, 106

1, 120

1, 134

1, 148

1, 101

1, 175

1, 189

1,203

1, 217

1,231

1, 244

.1 , 258

1,272

1,286

1,300

1,314

1, 327

1, 341

1, 355

1,369

1,383

1, 397

1, 410

1,424

1,438

1,452

1,466

1,480

1, 493

1,5(7

1, 521.

V535

1,549

1, 563

1,570

1,590

1, 004

1, 018

1,632

1,043

1, 059

Corrections for curvature, refraction, and 

height of instrument."

Stiles.

10. 1

16. 2

16.3

16. 4

16.6

16. 6

16.7

16.8

16. 9

17.0

17. 1

17.2

17.3

17.4

17.5

17.0

17. 7

1.7.8

17. 9

18.0

18.1

18. 2

18.3

1.8. 4

18.5

18. 0

18.7

18.8

18.9

19.0

19. 1

19.2

19. 3

19.4

19.5

19. 6

19.7

19. 8

19.9

.20.0

20. 1

20.2

20.3

20.4

20.5

20.6

20.7

20.8

20.9

21.0

21.1

21.2

21. 3

21. 4

 21.5

21. 0

21.7

21.8

21.9

22.0

Feel.

153

155

157

159

161

163

105

107

1.08

170

172

174

170

1.78

180

182

184

186

. 188

190

193

195

197

199

201

203

205

207

210

212

214

216

218

221.

223

225

227

230

232

234

236

239

241

243

246

248

250

253

255

258

260

262

265

267

270

272

275

277

280

282

Miles.

22.1

22. 2

22.3

22. 4

22.5

22. 6

22.7

22.8

22.9

23.0

23. 1

23. 2

23.3

23.4

23. 5

23.6

23. 7

23. 8

23.9

24.0

24.1

24. 2

24.3

24, 4

24.5

24.6

24.7

24.8

24.9

25.0

25.1

25.2

25.3

25.4

25.5

25. 6

25.7

25.8

25.9

26.0

26.2

26.4

26.6

26.8

27.0

27.2

27.4

27.6

27.8

28.0

28.2

28.4

28. 0

28.8

29.0

29.2

29.4

29.6

29.8

30.0

Feel.

285

287

290

293

295

298

300

303

306

308

31.1

313

316

319

321

324

327

330

332

335

338

341

343

346

349

352

355

358

300

363

366

369

372

375

378

381

384

387

390

393

399

405

41.1

417

423

429

435

442

448

455

461

467

474

480

487

494

501. 

507

514

521.

"For all distances under 1.0 miles the correction-may be taken as +5 feet. Height of instrument 

is assumed 4.5 feet.
272 GEOGRAPHIC TABLES AND FORMULAS. [BOLL.234. 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

2°.

/ 

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Hi

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

18-1.4.

185.9

187. 5

189.0

1:90. 5

192. 1

193.6

195.1

196.7

198.2

199. 8

201. 3

202.8

204. 4

205.9

207. 5

209.0

210.5

212. 1

213. 6

215. 1

216. 7

218. 2

219. 8

221.3

222. 8

. 224.4

225.9

227. 5

229.0

230. 5

232. 1

233. G

235. 1

236. 7

238.2

239.8

241.3

242. 8

244.4

245.9

247.5

249.0

250.5

252. 1

253.6

255. 2

256.7

258. 2

259. 8

261.3

262.9

264. 4

265. 9

267.5

269.0

270. 6

272. 1

273. 6

275. 2

276.7

2

368.8

371. 8

374.9

378.0

381. 1

384.1

387.2

390.3

393.4

396.4

399. 5

402.6

405. 7

408.8

411.8

414.9

418.0

421. 1

424.1

427.2

430.3

433.4

436.4

439.5

442. 6

445.7

448.7

451.8

454.9

458.0

461.1

464. 1

467.2

470. 3

473. 4

476.4

479. 5

482.6

485.7

488.8

491.8

494.9

497.0

501.1

504.2

507.2

510.3

513.4

516.5

519. 5

522.6

525.7

528.8

531. 9

534. 9

538.0

541. 1 '

544. 2

547.3

550. 3

553.4

3

553

558

562

567

572

576

581

585

590

595

599

604

609

613

618

622

627

632

636

641

0 645

. 650

655

659

664

669

673

678

682

687

692

696

701

705

711

715

719

724

729

733

738

742

747

752

756

761

765

770

775

779

784

 789

793

798

802

807

812

816

821

826

830

4

738

744

750

756

762

768

774

781

787

793

799

805

811

818

824

830

836

842

848

854

861

867

873

879

885

891

897

904

910

916

922

928

934

941

' 947

953

959

965

971

978

984

990

996

1,002

1,008

1,014

1,021

1,027

1,033

1,039

1,045

1,051

1,058

1,064

1,070

1,076

1,082

1,088

1,095

1, 101

] , 107

5

922

930

937

945

953

9GO

968

976

983

991

999

1,006

1, 014

1, 022

1,030

1,037

1,045

1, 053

1,060

1,068

1, 076

1,083

1,091

1,099

1,106

1,114

1,122

1, 130

1, 137

1,145

1,153

1,160

1,168

1, 176

1,183

1, 191

1, 199

1,207

1,214

1,222

1, 230

1,237

1,245

1,253

1,260

1,268

1,276

1,283

1,291

1,299

1,307

1,314

1,322

1,330

1,337

1, 345

1, 353

1,360

1,368

1,376

1,384

G

1,106

1,116

1,125

1,134

1,143

1,152

1,162

1,171

1,180

1,189

1, 199

1,208

1,217

1,226

1,235

1,245

1,254

1, 263

1,272

1,282

1, 291

1,300

1, 309

1,319

1,328

1, 337

1,346

1,355

1,365

1, 374

1,383

1, 392

1,402

1, 411

1, 420

1,429

1,439

1,448

1,457

1,466

1,476

1,485

1,494

1,503

1, 512

1,522

1,531

1,540

1,549

1,559

1,568

1,577

1,586

1,596

1, 605

1,614

1, 623

1,633

1, 642

1,651

1,660

7

1, 291

1,301

 1,312

1,323

1, 334

1,344

1,355

1, 366

1,377

1,388

1,398

1,409

1,420

1,431

1,441

1,452

1,463

1,474

1, 484

1,495

1,506

1,517

1,528

1,538

1, 549

1,560

1,571

1,581

1,592

],603

1,614

1,624

1, 635

1,646

1, 657

1,668

1,678

1,689

1,700

1,711

1,721

1,732

1,743

1,754

1,765

1,775

1,786

1,797

1,808

1,818

1,829

1,840

1,851

1,862

1,872

1,883

1, 894

1,905

1, 915

1,926

1,937

8

1,475

1,487

1,500

1,512

3,524

1, 537

1,549

1,561

1,573

1,586

1,598

1,610

1,623

1, 635

1,647

1,660

1, 672

1, 684

1, 697

1,709

1, 721

1,733

1, 746

1,758

1, 770

1,783

1,795

1,807

1, 820

1, 832

1,844

1,857

1, 869

1, 881

1,893

1,906

1,918

1,930

1,943

1,955

1,967

1,980

1, 992

2,004

2,017

2,029

2,041

2, 054,

2,066

2,078

2,091

2,103

2,115

2, 127

2,140

2, 152

2,164

2,177

2, 189

2, 201

2,214

9

1,659

1, 673

1,687

1, 701

1,715

1,729

1,742

1, 756

1,770

1,784

1,798

1,812

1,826

1,839

1,853

1,867

1,881

1, 895

1,909

1,932

1,936

1,950

1, 964

1,978

1,992

2,006

2,019

2,033

2, 047

2,061

2,075

2, 089

2, 102

2, 116

2,130

2, 144

2, 158

2,172

2,186

2,199

2, 213

2,227

2,241

2,255

2, 269

2,283

2,296

2,310

2,324

2,338

2,352

2, 366

2,380

2,393

2, 407

2, 421

2,435

2,449

2,463

2,477

2,490

Corrections for curvature, refraction, and 

height of instrument."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6..5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.0

9.7

9.8

9.9

10.0

10.1

Feet.

6

7

8

9

' 10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

52

63

Miles.

10. 2

10.3

10. 4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11. 2

11.3

11. 4

11. 5

11.6

11. 7

11.8

11.9

12.0

12. 1

12.2

12. 3

32.4

12. 5

12. 6

12.7

12. 8

12. 9

13.0

13. 1

13. 2

13.3

13. 4

13.5

33.6

13.7

13.8

13.9

14.0

14. 1

34.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

35.0

15.1

15.2

35.3

35.4

15.5

35.6

15. 7

15.8

35.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

300

302

103

3.05

306

308

309

111

312

114

115

117

1.19

320

322

124

 ]25

127

329

130

132

134

135

137

139

143.

142

344

346

348

150

151

i

a For all distances under 1.6 miles the correction may be taken as +5 feet. Height of instrument 

is assumed 4.5 feet. .
GANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 273 

TABLE 26. For oblaininy differences of altitude for any minute, etc. Continued.

3°.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51.

52

53

54

55

56

57

58

59

60

1

276. 7

278. 3

279.8

281.3

282. 9

284. 4

286.0

287.5

289.0

290.6

292. 1.

293.7

295.2

296.7

298.3

299.8

301.4

302.9

304.4

306.0

307.5

309.1

310. 6

312.1

313.7

315.2

316. 8

318. 3

319.9

321. 4

322. 9

324. 5

326.0

327.6

329.1

330.6

332. 2

333.7

335.3

336.8

338.4

339. 9

341.4

343.0

344.5

346.1

347.6

349. 2

360.7

352. 2

353.8

355.3

356.9

368. 4

360.0

361.5

363. 0

364.6

366. 1

367. 7

369.2

2

553. 4

556.5

559.6

562.7

565.7

568.8

571.9

575.0

578. 1

581.2

58-1.2

587 3

590.4

593. 5

596.6

599. 6

602.7

605.8

608.9

612.0

615.0

618. 1

621. 2

624.3

627. 4

930. 5

633. 5

636. 6

639.7

642.7

645.9

649.0

652.0

655.1

658.2

661. 3

664.4

667. 5

670. 5

673.6

676. 7

679. 8

682. 9

686.0

689.1

692. 1

695. 2

698.3

701. 4

704.5

707.6

710.7

713.7

716. 8

719. 9

723. 0

726. 1.

729. 2

732. 3

735.3

738. 4

:t

830

835

839

844

849

853

858

862

867

872

876

881

886

890

895

899

904

909

913

918

923

927

932

936

941.

946

950

955

960

964

969

973

978

983

987

992

997

1, 001

1,006

1,010

1,015

1, 020

1,024

1,029

1, 034

1,038

1,043

1, 047

1,052

1,057

1,061

1,066

1,071

1,075

1,080

1,085

1,089

1,094

1,098

1, 103

1, 108

4

1,107

1,113

1, 119

1, 125

1,131

1,138

1,144

1,150

1, 156

1, 162

1, 168.

1,175

1,181

1, 187

1,193

1, 199

1,205

1,212

1,218

1, 224

1,230

1,236

1,242

1,249

1,255

1, 261

1,267

1,273

1,279

1,286

1, 292

1,298

1,304

1, 310

1, 316

1, 323

1,329

1,335

, 341

,347

, 353

,360

,366

,372

,378

,384

,390

1,397

1,403

1,409

1, 415

1,421.

1 , 427

1,434

1,440

1,446

1,452

1,458

1,465

1,471

1,477

5

1,384

1, 391

1,399

1,407

1,414

1,422

1,430

1,437

1,445

1,453

1,461

1,468

1,576

1,484

1,491

1,499

1,507

1, 515

1,522

1,530

1,538

1,545

1,553

1, 561

1,568

1,576

1,584

1,592

1,599

1,607

1,615

1,622

1, 630

1,638

1,646

1, 653

1, 661

1,669

1,676

1, 684

1, 692

1,700

1,707

1,715

1, 723

1,730

1,738

1, 746

1,753

1,761

1, 769

1,777

1,784

1,792

1,800

1,807

1,815

1,823

1,831

1,838

1, 846

(i

1,660

1,670

1,679

1,688

1,697

1, 706

1, 716

1,725

1,734

1,743

1,753

1, 762

1,771

1,780

1,790

1,799

1,808

1,817

1,827

1,836

1,845

1,854

1, 864

1,873

1,882

1,891

1, 901

1, 910

1, 919

, 1,928

1, 938

1,947

1,956

1,965

1, 975

1,984

1 , 993

2,002

2,012

2,021

2,030

2,039

2,049

2,058

2,067

2,076

2,086

2,095

2,104

2, 113

2, 123

2, 132

2, .1.41

2,150

2, 160

2,169

2,178

2,188

2,197

2, 206

2,215

7

1, 937

1,948

1,959

1,969

1,980

1,991

2,002

2,012

2,023

2,034

2,045

2,056

2, 066

2,077

2,088

2,099

2,110

2, 120

2, 131

2,142

2, 153

2,163

2,174

2, 185

2,196

2,207

2,217

2, 228

2,240

2,250

2,261

2,271

2,282

2, 293

2,304

2,315

2,325

2,336

2,347

2,358

2,369

2,379

2,390

2,401

2,412

2,422

2,433

2, 444

2,455

2,466

2, 476

2,487

2,498

2, 509

2, 520

2, 530

2, 541

2, 552

2,563

2,574

2,584

8

2, 214

2, 226

2,238

2,251

2,263

2,275

2, 288

2,300

2, 312

2,325

2,337

2, 349

2,362

2,373

2,386

2,399

2,411

2,423

2,436

2, 448

2,460

2, 473

2,485

2,497

2,510

2, 522

2,534

2,547

2,559

2,571

2,584

2,596

2,608

2, 621

2,633

2,645

2,658

2,670

2,682

2,695

2,707

2,719

2, 732

2,744

2,756

2,769

2, 781

2,793

2,806

2,818

2,830

2,843

2,855

2, 867

2,880

2,892

2,904

2,917

2, 929

2, 941

2, 954

»

2,490

2, 504

2,518

2,532

2,546

2,660

2,574

2,587

2,601

2,615

2,629

2,643

2,657

2,671

2, 685

2,698

2,712

2,726

2,740

2,754

2,768

2,782

2,795

2,809

2,823

2,837

2,851

2,865

2,879

2,893

2,906

2,920

2,934

2,948

2, 962

2, 976

2,990

3,004

3,017

3,031

3,045

3,059

3,073

3,087

3,101

3, 1 15

3,129

3,142

3, 156

3,170

3,184

3,198

3, 212

3,226

3/240

3,253

3,267

3, 281.

3, 295

3,309

3,323

Corrections for curvature, refraction, and 

heightof instrumental

Miles.

10.1

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11.2

11.4

11.6

11.8

12.0

12.2

12.4

12.6

12.8

13.0

13.2

13.4

13.6

13.8

14.0

14.2

14. 4

14.6

14.8

15.0

15.2

15.4

15.6

15.8

16.0

16.2

16.4

16.6

16.8

17.0

17.2

17.4

17.6

17.8

18.0

18. 2

18.4

1.8. 6

18.8

19.0

19. 2

19.4

19. 6

19.8

20.0

21.0

22.0

23.0

24.0

25.0

Feet.

63

64

65

67

68

69

70

71

73

75 ' 77

79

82

84

87

90

93

96

99

102

105

108

111

114

117

120

124

127

130

132

. 137

141

144

148

151

153

159

163

167

170

174

178

182

186

190

195

199

203

207

212

21.6

221

225

230

234

258

282

308

335

363

"For all distances under 1.6 miles the correction may be taken as +5 feet. Height of instrument 

is assumed 4.5 feet.

Bull. 234 04 18
274 GEOQEAPHIC TABLES AND FORMULAS. [nuLL.234, 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

4°

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

.15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

63

54

55

56

57

58

59

60

1

369.2

370.8

372.3

373.8

375.4

376.9

378.5

380.0

381.6

. 383.1

384.7

386.2

387.7

389.3

390.8

392.4

393.9

395.5

397.0

398.6

400.1

401.6

403.2

404.7

406.3

407.8

409.4

410.9

412. 5

414.0

415.5

417.1

418.6

420.2

421.7

423.3

424.8

426.4

427. 9

429.5

431.0

432.5

434.1

435.6

437.2

438.7

440.3

441.8

443.4

444.9

446.5

448.0

449.6

451.1

452.7

454.2

455.8

457. 3

458.8

460.4

461.9

2

738

742

745

748

751

754

757

760

763

766

769

772

775

779

782

785

788

791

794

797

800

803

806

809

813

816

819

822

825

828

331

834

837

840

843

847

850

853

856

859

862

865

868

871

874

877

881

884

887

890

893

896

899

 902

905

908

912

915

918

921

924

3

1,108

1,112

1,117

1,122

1,126

1,131

1,135

1,140

1,145

1,149

1,154

1,159

1,163-

1,168

1,172

1,177

1,182

1,186

1,191

1,196

1,200

1,205

1,210

1,214

1,219

1,223

1,228

1,233

1,237

1,242

1,247

1,251

1,256

1,261

1,265

1,270

1,274

1,279

1,284

1,288

1,293

1,298

1,302

1,307

1,312

1,316

1,321

1,325

1,330

1,335

1,339

1,344

1,349

1,353

1,358

1,363

1,367

1,372

1,377

1,381

1,386'

4

1,477

1,483

1,489

.1,495

1,502

1,508

1,514

1,520

1,526

1,532

1,539

1,545

1,551

1,557

1,563

1,569

1,576

1,582

1, 588

1,594

1, 600

1,607

1,613

1,619

1,625

1,631

3,637

1,644

1,650

1,656

1,662

1,668

1,675

1,681

1,687

1,693

1, 699

1, 705

1,712

1,718

1,724

1,730

1,736

1,743

1,749

1,755

1,761

1,767

1,773

1,780

1,786

1,792

1,798

1,804

1,811

1,817

1,823

1,829

1,835

1, 842

1,848

5

1,846

1,854

1,862

1,869

1,877

1,885

1,892

1,900

1,908

1,916

1,923

1,931

1,939

1,946

1,954

1,962

1,970

1,977

1,985

1,993

2,000

2,008

2,016

2,024

2,031

2,039

2,047

2,055

'2,062

2,070

2,078

2,085

2,093

2,101

2,109

2, 116

2,124

2,J32

2,140

2,147

2,155

2,163

2, 170

2,178

2,186

2,194

2,201

2,209

2,217

2, 225

2,232

2, 240

2,248

2, 256

2,263

2,271

2, 279

2,286

2,294

2,302

2,310

6

2, 215

2,225

2,234

2,243

2, 252

2,262

2,271

2,280

2,289

2,299

2,308

2,317

2,326

2,336

2,345

2,354

2,363

2,373

2,382

2,391

2,401

2, 410

2,419

2, 428

2,438

2,447

2,456

2,465

2,475

2,484

2,493

2,503

2, 512

2, 521

2,530

2,540

2, 549

2,558

2, 567

2,577

2,586

2; 595

2, 605

2,614

2,623

2,632

2,642

2,651

2,660

2,669

2,679

2,688

2, 697

2,707

2,716

2, 725

2,735

2,744

2,753

2,762

2,772

7

2,584

2,595

2,606

2,617

2,628

2,639

2,649

2,660

2,671

2,682

2,693

2,703

2,714

2, 725

2,736

2,747

2,757

2,768

2,779

2,790

2,801

2,811

 2, 822

2, 833

2,844

2, 855

2,866

2,876

2,887

2,898

2,909

2,920

2,930

2,941

2,952

2,963

2,974

2,985

2,995

3,006

3,017

3, 028

3,039

3,049

3,060

3,071

3,082

3,093

3,104

3,113

3,125

3, 136

3,147

3,158

3,169

3,179

3,190

3,201

3,212

3,223

3,234

8

2,954

2,966

2,978

2,991

3,003

3,015

3,028

3,040

3,053

3,065

3,077

3,090

3,102

3,114

3,127

3,139

3,151

3,164

3,176

3,188

3, 201

3,213

3,225

3,238

3,250

3,263

3,275

3,287

3,300

3,312

3,324

3,337

3,349

3,361

3,374

3,386

3,399

3,411

3, 423 , 3,436

3,448

3,460

3,473

3,485

3,498

3,510

3,522

3,535

3,547

3,558

3,572

3,584

3,596

3, 609

3,621

3,634

3,646

3,658

3,671

3,683

3,696

9

3,323

3,337

3,351

3,365

3,378

3,392

3,406

3,420

3,434

3,448

3,462

3,476

3,490

3, 504

3,517

3,531

3,545

3, 559

3,573

3, 587

3,601

3,615

3,629

3,643

3,656

3,670

3,684

3,698

3,712

3,726

3,740

3,754

3,768

3,782

3,796

3,809

3,823

3,837

3,851

3,865

3,879

3,393

3,907

3,921

3,935

3,949

3,963

3,976

3,990

4,003

4,018

4,032

4,046

4,060

4,074

4,088

4,102

4, 116

4,130

4,144

4,157

Corrections for curvature, refraction, and

height of instrument.!*

Miles

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7 6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet.

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

. 30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

66

58

59

60

61

62

63

Miles

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

12.0

12.1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15. 0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet. 
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 275 

TAULE 26. For obtaimmj differences of altitude for any minute, do1 . Continued.

5°

0

1

2

3

4

5

G

7

8

9

10

11

12

13

14

15

1C

1.7

18

19

20

21

22

23

24

25

20

27

28

29

30

31

32

33

34

35

3C

37

38

39

-10

41

42

43

44

45

 46

47

48

49

50

51

52

53

54

55

56

57

58

59

CO

i

4C1.9

463.5

465.0

466. 6

468.3

469.7

471. 2

472.8

474. 3

475.9

477. 4

479.0

480.5

482.1

483. 6

485.2

486. 7

488.3

489.8

491.3

492. 9

494.5

496.0

497.6

499.1

500. 7

502.2

503.8

505.3

506.9

508.4

510.0

511.5

513.0

514.6

516.2

617. 7

519. 3

520.8

522. 4

523.9

525.5

527.0

528.6

530.1

531.7

533.2

534.8

536.3

637. 9

539. 4

541.0

542.5

544.1

545.6

547.2

548. 7

550.3

551.8

553.4

555. 0

2

924

927

930

933

936

939

942

946

949

952

955

958

961

964

967

970

973

976

980

983

986

989

992

995

998

1,001

1,004

1, 007

1,010

1,014

1,017

1,020

1,023

1,026

1,029

1,032

1, 035

1,039

1, 042

1, 045

1, 048

1,051

1,054

1,057

1,060

1,063

1,066

1,070

.1,073

1,076

1,079

1,082

1, 085

1, 088

1,091

1, 094

1,097

1, 101

1, 104

1,107

1, 110

3

1,386

1, 390

1,395

1,400

1,405

1,409

1,414

1,419

1,423

1,428

1,432

1,437

1,442

1,447

1,451

1,456

1,461

1,465

1,470

1,475

1,479

1,483

1,488

1,493

1,498

1,502

1,507

1,512

1,516

1, 521

1,525

1, 530

1,535

1,539

1,544

1,549

1,553

1, 558

1, 563

1,568

1,572

1,576

1,581

1, 586

1,591

1, 595

1,600

1, 605

1, 609

3, 614

1, 618

1,623

1,628

1,632

1,637

1,642

1, 646

1,651

1,656

1, 661

1,665

4

1,848

1,854

1,860

1,866

1,873

3,879

1,885

1, 891

1,897

1,904

1,910

1, 916

1, 922

1,928

1,935

1, 941

1,947

1, 953

1,959

1,966

1,972

1,978

1, 984

1,990

1,996

2,003

2,009

2,015

2,021

2,027

2,034

2,040

2, 046

2,052

2, 058

2, 065

2, 071

2,077

2,083

2, 089

2,095

2, 102

2, 108

2, 114

2, 121

2,127

2, 133

2,139

2, 145

2,154

2,158

2, 160

2,170

2,176

2,183

2,189

2,195

2,201

2,207

2,214

2, 220

5

2, 310

2,317

2,325

2,333

2,341

2,348

2, 356

2,364

2,372

2,379

'2, 387

2,395

2, 403

 2, 410

2,418

2,426

2,434

2,441

2,449

2,457

2,465

2,472

2,480

2,488

2,496

2,503

2, 511

2, 519

2,527

2,534

2,542

2, 550

2,558

2, 565

2,573

2,581

2,589

2,596

2, 604

2, 612

2,620

2,,627

2,635

2,643

2, 651

2,658

2, 666

2,674

2, 682

2,689

2, 697

2, 705

2,713

2, 721

2,728

2, 736

2,743

2,752

2, 759

2,767

2,775

((

. 2, 772

2, 781

2, 790

2,800

2,809

2,818

2,827

2,837

' 2, 846

2,855

2,865

2, 874

2,883

2, 892

2,902

2,911

2, 920

2,930

2,939

2,948

2,958

'2,967

2,976

2,985

2,995

3,004

3,013

3,023

3, 032

3,041

3,050

3,060

3,069

3,078

3,088

3,097

3,306

3,116

3, 125

3,134

3, 144

3,153

3,162

3,172

3,181

3,190

3, 199

3,209

3,218

3,227

3,237

3, 246

3,255

3, 205

3, 274

3,283

3, 292

3,302

3, 311

3,320

3,330

7

3,234

3, 244

3,255

3, 266

3,277

3,288

3,299

3,309

3,320

3,331

3,342

3, 353

3, 361

3, 375

3,385

3,396

3,407

3,418

3, 429

3,440

3,450

3,461

3,472

3,483

3, 494

3,505

3, 515

3,626

3,537

3,548

3,559

3,570

3,581

3, 591

3,602

3, 613

3, 624

3,635

3, 646

3,657

3, 667

3,-678

3, 689

3,700

3,711

3, 722

3,733

3,743

3,764

3,765

3,776

3,787

3, 798

3,809

3,819

3,830

3, 841

3, 852

3, 863

3,874

3,885

8

3,696

3, 708

3,720

3,733

3,745

3,757

3,770

3,782

3, 795

3,807

3,819

3,832

3,844

3,857

3,869

3,881

3,894

3,906

3, 919

3,931

3,943

3, 956

3,968

3,981

3,993

4,005'

4,018

4,030

4,042

4,055

4,067

4,080

4, 092

4, 105

4,117

4, 129

4,342

4,154

4, 167

4, 179

4, 191

4,204

4,216

4,229

4,241

4, 253

4, 266

4,278

4,291

4,303

4,315

4,328

4,340

4,353

4, 365

4,378

4,390

4,402

4,415

4,427

4,440

9

4, 157

4,171

4,185

4, 199

4,213

4,227

4,241

4,255

4,269

4,283

4,297

4,311

4,325

4,339

4, 353

4,367

4, 381

4,394

4,408

4, 422

4,436

4,450

4, 464

4,478

4,492

4,506

4,520

4, 534

4,548

4,562

4,570

4,590

4,604

4,018

4,032

4, 645

4, 659

4,673

4,687

4, 701

4, 715

4,729

4,743

4,757

4,771

4,785

4,799

4, 813

4,827

4,841

4,856

4,869

4,883

4,897

4,911

4, 925

4,939

4,953

4,967

4,981

4,995

Corrections for curvature, refraction, and 

height of instrument."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.0

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.0

9.7

9.8

9.9

30.0

10.1

Feet.

6

7

8

. 9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

 33

. 34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

63

Miles.

10.2

10.3

10.4

3.0.5

10.6

10.7

10.8

10.9

11.0

11. 1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

12.0

12.1

12.2

12.3

12.4

12. 6

12.6

12.7

12.8

12.9

13.0

13.1

13. 2

13.3

13.4

13.5

13. 6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

' 77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

305

106

3.08

109

31.1

112

114

115

117

119

120

122

324

126

127

129

130

132

134

135

137

139

141

142

144

146

148 150

151

«For all distances under 1.6 miles the correction may be taken as -t- 5 feet. Height of instrument 

is assumed 4.5 feet.
276 C4EOGRAPHIC TABLES AND FORMULAS. [BULL.'234. 

TABLK 26. For obtaining differences of altitude for any minute, etc. Continued.

0

1

2

3

4

5

C

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

. 49

50

51

52

53

54

55

56

57

58

59

60

1

555.0

556.5

558.1

559.6

561.2

662. 7

564.3

 565.8

567.4

568.9

570.5

572.0

573.6

575.2

576.7

578.3

579.8

581.4

582.9

584.5

586.0

587.6

589.1

590.7

592. 2

593.8

595.4

596.9

598.5

600.0

601.6

603.1

604.7

606.3

607.8

609.4

610.9

612.5

614.0

615.5

617.2

618.7

620.3

621.8

623.4

624.9

. 626. 5

628.0

629.6

631.2

632.7

634.3

635.8

637.4

638.9

640.5

642.1

643.6

645.2

646.7

648.3

2

1,110

1,113

1,116

1,119

1,122

1,125

1,129

1,132

1,135

1, 138

1, 141

1,144

1,147

1,150

1,153

1,157

1,160

1,163

1,166

1,169

1,172

1,175

1,178

1,181

1,185

1,188

1,191

1,194

1,197

1,200

1,203

1, 206

1,209

1, 213

1,216

1,219

1,222

1,225

1,228

1,231

1, 234

1,237

1,241

1,244

1,247

1,250

1,253

1,256

1,259

1,262

1,265

1,269

1,272

1,275

1,278

1,281

1,284

1,287

1,290

1,293

1,297

3

1,665

1,670

1,674

1,679

1,684

1,688

1,693

1,697

1,702

1,707

1,711

1,716

1,721

1,725

1,730

1,735

1,739

1, 744

1,749

1,753

1,758

1,763

1,767

1,772

1,777

1,781

1,786

1,791

1,795

1,800

1,805

1,809

1,814

1,819

1,823

1,828

1,833

1,837

1,842

1,847

1,851

1,856

1,861

1,865

1,870

1,875

1,879

1,884

1,889

1,894

1,898

1,903

1,908

1,912

1,917

1, 922

1,926

1,931

1,936

1,940

1,945

4

2,220

2,226

2,232

2, 238

2, 245

2,251

2,257

2, 263

2,270

2,276

2,282

2,288

2,294

2,301

2,307

2,313

2,319

2, 325

2,332

2,338

2,344

2,350

2,357

2,363

2,369

2,375

2,381

2,388

2,394

2,400

2,406

2,413

2,419

2,425

2, 431

2,437

2,444

2,450

2,456

2,462

2, 469

2,475

2, 481

2,487

2,494

2,500

2,506

2, 512

2,518

2, 525

2,531

2,537

2, 543

2,550

2,556

2,562

2, 568

2,575

2, 581

2,587

2,593

5

2,775

2,783

2,790

2,798

2,806

2,814

2,821

2,829

2,837

2,845

2,852

2,860

2, 868

2,876

2,884

2, 891

2, 899

2,907

2,915

2, 922

2,930

2,938

2,946

2,953

2,961

2,969

2,977

2,985

2,992

3,000

3,008

3,016

3,023

3, 031

3, 039

3,047

3,055

3,062

3,070

3,078

3,086

3,094

3,101

3,109

3,117

3,125

3,132

3,140

3,148

3,156

3,164

3, 171

3,179

3, 187

3,195

3,203

3,210

3,218

3,226

3,234

3, 242

G

3,330

3,339

3,348

3,358

3,367

3,376

3,386

3,395

3,404

3,414

3,423

3, 432

3,442

3,451

3,460

3,470

3,479

3,488

3,498

3,507

3, 516

3,526

3,535

3,544

3,554

3,563

3,572

3,581

3,591

3,600

3,609

3,619

3,628

3,637

3,647

3,656

3, 666

3,675

3, 684

3,694

3,703

3,712

3,722

3,731

3,740

3,750

3,759

3,768

3,778

3,787

3,796

3,806

3,815

3,824

3,834

3,843

3,852

3,862

3, 871

3,880

3,890

7

3,885

3,896

3,906

3, 917

3,928

3,939

3,950

3,961

3,972

3,983

3,993

4,004

4,015

4,026

4,037

4,048

4,059

4,070

4,080

4,091

4,102-

4,113

4,124

4,135

4,146

4,157

4,168

4, 178

4,189

4,200

4, 211

4,222

4,233

4,244

4, 255

4, 266

4,276

4,287

4,298

4,309

4,320

4,331

4,342

4,353

4,364

 4^,374

4,385

4,396

4,407

4,418

4,429

4,440

4,461

4,462

4,473

4,484

4,494

4,505

4,516

4,527

4,538

8

4, 440

4,452

4,464

4,477

4,489

4,502

4,514

4,527

4,539

4,551

4,564

4.576

4*589

4,601

4,614

4,626

4,639

4, 651

4,663

4,676

4,688

4,701

4,713

4,726

4,738

4,750

4,763

4,775

4,788

4,800

4,813

4,825-

4,838

4,850

4,862

4,875

4,887

4,900

4, 912

4,925

4,937

4,950

4,962

4,975

4,987

4,999

5,012

5,024

5,037

5,049

5, 062

5,074

5,087

5,099

5, 112

5,124

5,136

5,149

5, 161

5,174

Si 186

9

4,995

5,009

5,023

5,037

5,050

5,064

5,078

5, 092

5,106

5,120

5,134

5,148

5,162

5,176

5,190

5,204

5,218

5,232

5,246

5,260

5,274

5,288

5,302

5, 316

5,330

5,344

5,358

5, 372

5,386

5,400

5, 414

5.42S

5,442

5,456

5, 470

5,484

5,498

5,512

5,526

5,540

5,554

5,568

5,582

5,596

5,610

5,624

5,638

5,653

5, 667

5,681

5,696

5,709

5,723

5,737

5, 751

5,765

5,779

5,793

5,807

5,821

5,835

Corrections for curvature, refraction and 

heightofinstmment.«

Miles

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2 7.3'

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet.

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

(13

Miles

10.2

10.3

30.4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

12.0

12.1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13. 6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

' 150

151

a For all distances under 1.6 miles the correction may be taktju as + 5 feet. Height of instrument 

Is assumed 4.6 feet.
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 277

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

7°

0

1

 2

3

4

5

6

7

8

9

10

11

12

13

M

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

648.3

649. 9

051.4

053.0

054. 5

056.1

657.7

059. 2

060. 8

602. 4

063.9

665. 5

067.0

068. 6

070. 2

671.7

073. 3

674. 8

676.4

078. 0

079. 5

081. 1

082. 6

084. £

685.8

687.3

088. 9

090.5

692. 0

693. 0

095. 1

090. 7

698.3

099.8

701.4

702.9

704.5

706.1

707.6

709. 2

710.8

712.3

713.9

715. 5

717.0

718.6

720.2

721. 7

. 723. 3

724. 8

726. 4

728. 0

729.5

731. 1

732.7

734.2

735.8

737.4

738.9

740.5

742. 1

2

1,297

1,300

.1,303

1,306

1,309

1,312

1,315

1, 318

1, 322

3,325

1,328

.1,331

1,334

1, 337

1, 340

1,343

3 , 347

1,350

1,353

1,356

1,359

1, 362

1,365

1, 308

1,372

1,375

1,378

1,381.

1,384

1, 387

1,390

1,393

1,390

1,400

1,403

1, 406

1,409

1,412

1,415

1,418

1,422

1,425

1,428

1,431

1,434

1,437

1,440

1,443

1,447

1,450

1, 453

1, 456

1,459

1,462

1,465

1,468

1,472

1, 475

1,478

1,481

'1,484

:t

1,945

1,950

1,954

1, 959

1,964

1, 968

1,973

1,978

1, 982

1,987

1, 992

1, 996

2,'OOJ

2, 006

2,010

2,016

2, 020

2, 025

2, 029

2, 034

2, 039

 2,043

2, 048

2, 053

2, 057

2,062

2,067

2,071

2,076

2,081

2, 085

2, 090

2, 095

2,099

2, 104

2, 109

2,114

2,118

2,123

2, 128

2,132

2,137

2,142

2,146

2,151

2, 150

2,160

2, 165

2, 170

2, 175

2, 179

2,184

2, 189

2, 393

2,198

2,203

2, 207

2, 212

2,217

2,221

2,226

4

2,593

2, 699

2, 606

2,612

2,618

2,624

2,631

2, 637

2, 643

2,649

2, 656

2, 662

2, 668

2, 674

2, 081

2, 687

2, 693

2, 099

2, 706

2, 712

2,718

2, 724

2,731

2, 737

2,743

2,749

2, 756

2,762

2, 708

2, 774

2,781

2, 787

2, 793

2, 799

2,806

2, 812

2,818

2, 824

2,831

2, 837

2, 843

2,849

2,856

2, 862

2, 868

2,874

2,881

2,887

2,893

 2, 899

2, 906

2, 912

2,918

2, 924

2, 931

2,937

2,943

2,949

2, 956

2, 962

2', 968

' 

3,242

3, 249

3,257

3, 2C5

3,273

3, 281

3, 288

3, 296

3,304

3,312

3, 320

3, 3'J7

3, 335

3, 343

3,351

3, 359

3, 360

3, 374

3, 382

3, 390

3,398

3,405

3,413

3,421

3,429

3,437

3, 444

3,452

3,460

3,468

3, 476

3,483

3, 491

3,499

3,507

3,515

3, 523

3,530

3,538

3, 546

3,554

3,562

3,569

3,577

3,585

3, 593

3,601

3,609

3,616

3,624

3, 632

3, 640

3, 648

3, 656

3,663

3, 671

3,679

3, 687

3,695

3,702

3,710

(i

3,890

3, 899

3, 909

3,918

3, 927

3,937

3,946

3, 955

3,965

3, 974

3, 983

3, 993

4,002

4,012

4, 021

4,030

4,040

4, 049

4,058

4, 068

4,077

4,087

4,096

4,105

4,115

4,124

4,133

4, 143'

4,152

4,161

4,171

4,180

4,190

4,199

4,208

4,218

4,227

4,236

4, 246

4,255

4,265

4,274

4,283

4,293

4,302

4,312

4, 321

4,330

4,340

4,349

4,358

4,368

4,377

4, 387

4,396

4,405

4,415

4,424

4,434

4,443

4,452

7

4,538

4,549

4,560

4,571

4,582

4,593

4, 604

4,615

4,626

4,636

4,647

4,658

4,669

4,680

4,091.

4,702

4, 713

4,724

4,735

4,746

4,757

4,768

4, 779

4, 789

.4, 800

4,811

4,822

4,833

4,844

4,855

4,866

4,877

4,888

4,899

4,910

4, 921

4,932

4,943

4,953

4,964

4,975

4,986

4,997

5,008

5,019

5,030

5, 041

5, 052

5,063

5, 074

5,085

5, 096

5, 107

5, 118

5,129

5, 140

5, 151

5,162

5, 172

5, 183

5, 194

8

5,186

5, 199

5, 211

5, 224

5, 236

5, 249

5, 261

5, 274

5, 286

5, 299

5, 311

5, 324

5,336

5,349

5, 361

5, 374

5, 386

5, 399

5,411

5, 424

5, 436

5, 449

5, 461

5, 474

5,486

5,499

5,511

5, 524

5,536

5, 549

5, 561

5, 574

5,586

5,599

5, 611

5,624

5,636

5, 649

6,661

5, 674

5,686

5, 699

5,711

5, 724

5,736

5,749

5, 761

5,774

5, 786

5, 799

5, 811

5, 824

5,836

5,849

5,861

5,874

5, 886

5, 899

5, 911

5,924

5,936

!>

5,835

5, 849

5, 863

5,877

5,891

5, 905

5, 919

5,933

5, 947

5, 961.

5,975

5, 989

6,003

6,017

6,031

6, 045

6, 060

6, 074

6,088

(i, 102

6,116

6,130

6, 144

6, 158

6,172

6, 186

6,200

6,214

6, 228

6, 242

6, 256

6, 270

6,284

6, 298

6,312

6, 327

6,341

6,355

6,369

6,383

0, 397

6,411

6,425

6, 439

6, 453

6, 467

6, 481

6, 495

6, 510

6, 524

6,538

6, 552

6, 566

6, 580

6,594

6, 608

6,622

6, 636

6,650

6, 664

0, 078

Corrections for curvature, refraction and 

height of instrument."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2.

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet.

6

 7

8

9

JO

n

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

63

Miles.

10. 2

10.3

10.4

10.5

10.6

10.7

10.8

10. 9

11,0

11.1

11. 2

11.3

11.4

11.5

11.6

11.7

11. 8

11. 9.

12.0

12.1

12.2

12.3

12.4

12.5

12. 6

12.7

12.8

12.9

13.0

13. 1.

13.2

13.3

13,. 4

13.5

13.6

13.7

13.8

13.9

14.0

14. 1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15. 2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

. 68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

140

148

150

151

"For all distances under l.C miles the correction may be taken us + 5 feet. Height of instrument 

is assumed 4.5 feet.
2V8 GEOGRAPHIC TABLES AND FORMULAS. [IHTT.T..234.

TABLE 26. For obtaining differences of attitude for any minute, etc. Continued.

8°

0

1

2

3

4

5

6

7.

8

9

10

11

12

13

14

15

16

1718'

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51 52

53

64

55

56

57

58

59

60

1

. 742.1

743.6

745.2

746.8

748.3

749.9

761. 6

753.0

754.6

756. 2

757.7

759. 3

760.9

762.4

764.0

765.6

767.1

768. 7

770.3

771.8

773.4

776.0

776.6

778.1

779.7

781.3

782.8

784.4

786.0

787.5

789. 1

790.7

792.2

793. 8

795.4

79C79

798.5

800.1

801. 7

803.2

' 804.8

806.4

808.0

809.5

811.1

812.7

814.2

815.8

817.4

819.0

820.5

822. 1

823.7

825.3

826.8

828.4

830.0

831.5

833.1

834. 7

836.3

2

1,484

1,487

1,490

1,494

1,497

1,500

1,503

1,506

1,509

1,512

1,515

1, 519

1,522

1,525

1,528

1,531

1,534

1, 537

1/541

1, 544

1,547

1,550

1,553

1,556

1,559

1,562

1,566

1, 569

1,572

.1, 575

1,578

1,581

1,584

1,588

1, 591-

1,594

1,597

1,600

1,603

1,607

1,610

1, 613

1,616

1,619

1,622

1, 625

1, 628

1,632

1,635

1,638

1,641

1,644

1,647

1,651

1,654

1, 657 '

1,660

1,663

1, 666

1,669

1,673

8

2,226

2,231

2, 236

2,240

2,24»

2,250

2,254

2,259

2,264

2,269

2,273

2,278

2, 283

2,287

2, 292

2,297

2, 301

2, 306

2,311

2,316

2,320

2, 325

2,330

2,334

2, 339

2,344

2,348

2, 353

2,358

2,363

2, 367

2,372

2,377

2,381

2, 386

2,391

2,396

2, 400

2,405

2,410

2,414

2,419

2,424

2,429

2,433

2,438

2,443

2,447

2, 452

2,457

2,462

2,466

 2, 471

2, 476

2,481

2,485

2,490

2,495

2,499

2,504

2,509

4

2; 968

2,974

2, 981

2, 987

2, 993

3,000

3,006

3,012

3,018

3, 025

3,031

3,037

3, 043

H, 050

3,056

3, 062

3, 069

3, 075

3, 081.

3,087

3,094

3,100

3,106

3, 112

3,119

3,125

3, 181

3,138

3,144

3,150

3,156

3,163

3,169

3, 175

3, 182

3,188

3,194

3,200

3,207

3,213

3,219

3,226

3,232

3, 238

3,244

3,251

3,257

3,263

3,270

3,276

3,282

3,288

3,295

3,301

3,307

3,314

3, 320

3,326

3,332

3,339

3,345

5

3, 710

3,718

3, 726

3,734

3, 742

3,749

3,757

3,765

3,773

3, 781

3,789

3,797

3,804

3,812

3, 820

3, 828

3,836

3, 844

3,851

3, 859

3,867

3,875

 3,883

3, 891

3,898

3,906

3, 914

3,922

3,930

3,938

3,945

3,953

3,961

3,969

3,977

3,985

3,993

4,001

4,008

4,016

4,024

4,032

4,040

4,048

4,056

4,063

4,071

4,079

4,087

.4, 095

4,103

4, 111

4,118

4, 126

4, 134

4, 142

4, 150

4, 158

4,166

4,173

4,181

(i

4,452

4, 462

4,471

4,481

4,490

4,499

4, 509

4,518

4,528

4,537

4,546

4, 556'

4, 565

4,575

4, 584

4,593

4, 603

4, 612

4,622

4,631

4, 640

4,650

4, 659

4,669

4,678

4,688

4,697

4,706

4,716

4, 725

4,735

4,744

4,753

4,763

4,772

4,782

4,791

4,801

4,810

4,820

4,829

4,838

4,848

4,857

4,867

4,876

4,886

4,895

4,904

4,914

4,923

4,933

4,942

4, 952

4,961

4,970

4,980

4,989

4,999

5,008

5,018

7

5,194

5,205

5, 216

5,227

5,238

5,249

5,260

5,271

5,282

5,293

5,304

5,315

5, 326

6,337

6,348

5, 359

5,370

5,381

5,392

5,403

5,414

5, 425"

5,436

5,447

5,458

5,469

5,480

5,491

5,502

5,513

5,524

5,535

5,546

5,557

5,568.

5,579

5,590

5,601

5,612

5,623

5, 634

5,645

5, 656

5,667

5,678

5,689

5,700

5, 711

5,722

5,733

5,744

5,755

5,766

5,777

5,788

5,795

5,810

5,821

5,832

5,843

5,854

8

5,936

5,949

5,962

5,974

5,987

5,999

6, 012

6, 024

6,037

6,049

6,002

6,074

6,087

6,100

6, 112

6, 125

6, 137

6, 150

6, 162

6,175

.6, 187

6,200

6,212

6, 225

6,237

6, 250

6, 263

6,275

6,288

6,300

6,313

6, 325

6,338

6, 351

6,363

6,376

6,388

6,401

6,414

6,426

6,439

6,451

6,464

6,476

6,489

6,501

6,514

6,527

6,539

6,652

6,564

6,577

6,590

6,602

6,615

6,627

6,640

6, 652

6,665

6,678

6,690

9

0,678

6,693

6,707

6,721

6,735

6,749

6,763

6,777

6,791

6,806

6,820

6,834

0, 848

6,862

6, 876

6,890

6, 904

6,918

6,933

6,947

6,961

6,975

6,989

7,003

7, 017

7,031

7,045

7,060

7,074

7,088

7,102

7,116

7, 130

7,144

7,159

7,173

7,187

7,201

7,215

7, 229

7,243

7,258

7,272

7,286

7,300

7, 314

7,328

7,342

7,357

7,371

7,385

7,399

7,413

7,427

7; 442

7,456

7,470

7,484

7,498

7,512

7,526

Corrections for curvature, refraction, and 

height of instrument."

M'iles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet.

6

7

8

9

10

11

12

13

14

15

16 ' 17

18

19

20

21

22

23

24

25

.26

27

. 28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58 59

60

61

62

63

Miles.

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11. 2

11.3

11.4

11.5

11.6

1.1.7

11.8

11.9

12.0

12.1

12.2

32.3

12. 4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet,

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

309

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.6 feet.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS! 279 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

9°

0

1.

2

3

4

5

C

7

8

9

io11.

12

.i3

14

35

1C

17

18

19

20

21

22

23

24

25

20

27

28

29

.30

31

32

33

34

35

30

37

38

39

40

4.1

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58 '59

GO

1

830. 3

837.8

839.4

841.0

842. 6

844. 2

845.7-

847. 3

848.9

850. 5

852. 0

853. 0

855. 2

856.8

858. 3

859. 9

801. 5

863. 1

804.7

866. 2

807.8

809.4

871. 0

872.5

874.1

875.7

877.3

878.8

880. 4

882.0

883.6

885.2

880.7

888.3

889.9

891.5

893.1

894.0

896.2

897.8

899.4

901. 0

902.5

904.1

905.7

907. 3

908. 9

910.5

912/0

913. 6

915.2

916.8

918. 4

919.9

921.5

923. 1

924.7

926. 3

927.8

929.4

931.0

._>

1JG73

1,676

1,679

1,682

1,685

1, 688

1, 691

1,095

1,098

1, 701

1, 704

1 , 707

1,710

1 , 714

.1,717

1 , 720

1 , 723

1,726

1,729

1,732

1, 736

1,739

1,742

1,745

1,748

1,751

1, 755

1,758

1,761

1,704

1,707

1,770

1,774

1,777

1,780

1 , 783

1,786

1,789

1,792

1,796

1,799

1,802

1,805

1,808

.1,811

1,814

1,818

1,821

1,824

1,827

1,830

1,833

1,837

1,840

1,843

1,846

1,849

1,852

1,855

1,859

1,862

:t

2,509

2, 514

2,518

2, 523

2,528

2,532

2,537

2,542

2, 547

2, 551.

2,550

2, 501

2,506

2, 570

2, 575

2, 580

2, 585

2,589

2,594

2, 599

2,003

2,008

2, 013

2,018

2, 022

2,027

2, 032

2,037

2,041

2,646

2,651

2, 656

2,660

2, 065

2,070

2,074

2,079

2,684

2, 689

2,093

2,098

2,703

2,708

2,712

2,717

2, 722

2,727

2,731

2,736

2, 741

2, 746

2, 750

2, 755

2,760

2, 705

2,769

2,774

2, 779

2,784

2, 788

2, 793-

4

3,345

3,351

3,358

3, 304

3,370

3, 377

3,383

3, 389

3, 390

3,402

3,408

3, 414

3,421

3, 427

3,433

3,440

3, 446

3, 452

3,459

3,405

3, 471

3,478

3,484

3,490

3,496

3,-503

3, 509

3,515

3,522

3,528

3, 534

3,541

3,547

3, 553

3,560

3,506

3,572

3, 579

3,585

3, 591

3,598

3,604

3, 610

3,617

3,623

3,629

3,636

3,642

3,648

3/054

3,661.

3, 667

3,673

3,080

3, 680

3,092

3, 099

3,705

3, 711

3, 718

3, 724

5

4,181

4, 189

4,197

4,205

4,213

4.221

4,229

4,237

4,244

4,252

4,200

4,208

4,270

4,284

4,292

4, 300

4, 308

4,315

4,323

4, 331.

4,339

4,347

4,355

4,363

4,371

4,379

4,386

4,394

4,402

4, 410

4,418

4,426

4,434

4,442

4,450

4,457

4,465

4,473

4,481

4,489

4,497

4,505

4,513

4,521

4,529

4,537

4,544

4,552

4,560.

4,508

4,570

4,584

4,592

4,600

4,008

4,616

4,623

4,031

4,639

4,647

4,655

(i

5,018

5, 027

5,037

5,046

5,055

5,005

5,074

5, 084

5, 093

5, 103

5,112

5, 122

5, 131

5, 141

5,150

5,100

5, 109

5, 179

5, 188

5, 197

5,207

5, 210

5, 226

5,235

5,245

5,254

5, 264

5,273

5,283

5, 292

5,302

5,311

5,320

5,330

5,339

5,349

5,358

5,368

5,377

5,387

5,390

5,406

5,415

5,425

5,434

5,444

5,453

5,463

5, 472

5, 482

5,491

5,501

5, 510

5,520

5, 529

5, 539

5,548

5, 558

5, 567

5,577

5,580

7

5,854

5,805

5,870

5,887

5, 898

5, 909

5,920

5,931

5,942

5, 953

5, 964

5, 975

5, 986

5, 997

6,008

6, 020

6, 031

6, 042

6,053

6,064

6,075

6.086

6,097

6,108

6,119

6, 130

6, 141

6, 152

6,103

0,174

6,185

6,190

0, 207

6,218

6,229

6,240

6,252

6,263

0, 274

6,285

6, 296

0,307

0,318

6,329

6,340

6, 351

6,362

6,373

6,384

6,395

6,400

6, 417

0,429

0, 440

0,451

6, 462

6,473

6, 484

0, 495

6, 500

0,517

8

6, 690

6,703

6,715

6, 728

6,741

0,753'

6,700

0, 778

0, 791.

0, 804

0, 810

0, 829

6, 842

6,854

0, 867 '

6, 879

0, 892

0, 905

0, 917

0,930

6,943

6, 955

6,908

0, 980

0,993

7,000

7,018

7, 031

7,043

7,056

7,068

7,081

7,094

7,107

7,119

7,132

7,145

7,157

7,170

 7,183

7, 195

7,208

7,220

7,233

7,240

7,258

7,271

7,284

7,296

7,309

7,322

7,334

7,347

7,300

7, 372

7,385

7, 397

7,410

7,423

7,435

7,448

! 

7, 520

7,541

7,555

7,509

7,583

7, 597

7,012

7, 020

7,040

7, 054

7, 068

7,083

7,097

7,711

7,725

7, 739

7, 754

7,708

7,782

7, 796

7,810

7,825

7, 839

 7,853

7,867

7,881

7,896

7,910

7, 924

7,938

7,952

7,967

7, 981.

7,995

8,009

8,023

8,038

8,052

8,066

1 8, 080

8,095

8,109

8,123

8,137

8,151

8,160

8, 180

8,194

8,208

8,223

8,237

8,251

8,205

8,279

8,294

8,308

8,322

8,336

8,351

8,305

8,379

Corrections for curvature, refraction, and 

height of instrument."

Miles.

1.0

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1.

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

.9.7

9.8

9.9

10.0

10.1

Feet.

6

' ' 7

8

9

10

11

12

13

14

15

10

17

18

19

20

21

22

23

24

25

20

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

00

01

02

63

M'ilcs.

10.2

10.3

10.4

10.5

10.0

10.7

10.8

10.9

11.0

11. 1

11.2

11.3

11 . 4

11.5

11.0

11. 7

11.8

11.9

12.0

12.1

12.2

12.3

12.4

12.5

12.0

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.0

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.0

15.7

15.8

.15.9

16.0

Feet.

64

65

67

68

69

.70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

 94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

140

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet.
280 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

10°

/ 

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

931.0

932. 6

934.2

935.8

937.4

938.9

940.5

942.1

943.7

945.3

946.9

948.5

950.0

951.6

953.2

954.8

956.4

958.0

959.6

961.1

962.7

964.3

965.9

967.5

969.1

970.7

972.2

973.8

975.4

977.0

978.6

980.2

981.8

' 983.4

985.0

986,5

988.1

989.7

991. 8

992.9

994. 5

996.1

997.7

999.3

1,000.9

1,002.5

1,004.0

1,005.6

1, 007. 2

1,008.8

1,010.4

1,012.0

1, 013. 6

1,015.2

1,016.8

1,018.4

1, 020. 0

1, 021. 5

1,023.1

1,024.7

1,026.3

2

1,862

1,865

1,868

1,872

1,875

1,878

1,881

1,884

1,887

1,891

1,894

1,897

1,900

1,903

1,906

1,910

1,913

1,916

1,919

1,922

1,926

1,929

1,932

1,935

1,938

1,941

1,944

1,948

1,951

1,954

1,957

1,960

1,964

1,967

1,970

1,973

1,976

1,980

1,983

1, 986

1,989

1,992

1,995

1,999

2,002

2, 005

2,008

2,011

2,014

2,018

2,021

2,024

2,027

2,030

2,034

2,037

2,040

2,043

2,046

2,049

2,053

8

2,793

2,798

2,803

2,807

2,812

2,817

2,822

2,826

2,831.

2, 836

2,841

2,845

2,850

2,855

2,860

2,864

2,869

2,874

2,879

2,883

2,888

2,893

2,898

2, 902

2,907

2,912

2,917

2,921

2,926

2,931

2,936

2,941

2,945

2,950

2,955

2,960

2,964

2, 969

2,974

2,979

2,984

2,988

2,993

2,998

3,003

3,007

3, 012

3,017

3,022

3,026

3,031

3,036

3,041

3,046

3,050

3,055

3,060

3,065

3,069

3,074

3,079

4

3,724

3,730

3,737

3,743

3,749

3,756

3, 762

3,768

3,775

3,781

3,787

3,794

3,800

3,807

3,813

3,819

3,826

3,832

3,838

3,845

3, 851

3,857

3,864

3,870

3,876

3,883

3,889

3,895

3,902

3,908

3,914

3, 921

3,927

3,933

3,940

3,946

3,953

3,959

3,965

3,972

3,978

3,984

3,991

3,997

4,003

4,010

4,016

4,023

4,029

4,035

4,042

4,048

4,054

4,061

4,067

4,073

4,080

4,086

4,093

4,099

4,105

5

4,655

4,663

4,671

4,679

4,687

4, 695v

4,703

4,711

4,718

4,726

4,734

4,742

4,750

4,758

4,766

4,774

4,782

4,790

4,798

4,806

4,814

4, 822

4,830

4,837

4,845

4,853

4, 861

4,869

4 877

4,885

4,893

4,901

4,909

4,917

4,925

4,933

4,941

4,949

4,957

4,965

4; 973

4,980

4,988

4,996

5,004

5,012

5,020

5,028

5,036

5,044

5,052

5,060

5,068

5,076

5,084

5, 092

5, 100

5,108

5,116

5,124

5,132

G

5,586

5,596

5,605

5,615

5,624

5,634

5,643

5,653

5, 662

5,672

5,681

5,691

5,700

5,710

5,719

5,729

5,738

5,748

5,757

5,767

5,776

5,786

5,795

5,805

5,814

5,824

5,833

5,843

5,853

5,862

5,872

5,881

5,891

5,900

'5,910

5,919

5,929

5,938

5,948

5,957

5,967

5,977

5,986

5,996

6,005

6,015

6,021

6,034

6,043

6,053

6,062

6,072

6,082

6,091

6,101

6,110

6,120

6,129

6,139

6,148

6,158

7

6,517

6,528

6,539

6,550

6,561

6,573

6,5H4

6, 595

6,606

6,617

6,628

6,639

6,650

6,661

6,672

6,684

6,695

6,706

6, 217

6,728

6,739

6,750

6,751

6,772

6,784

6,795

6,806

6,817

6,828

6,839

6,850

6,861

6,872

6,884

6, 895

6,906

6, 917

6,928

6,939

6,950

6,962

6,973

6,984

6,995

7,006

7,017

7,028

7,039

7,051

7,062

7,073

7,084

7,095

7, 106

7,117

7,129

7,140

7,151

7,162

7,173

7,184

8

7,448

7,461

7,473

7,486

7,499

7,512

7,524

7,537

7,550

7,562

7, 575

7, 588

7,600

7,613

7,626

7,638

7,651

7,664

7,676

7,689

7,702

7,715

7,727

7,740

7,753

7,765

7,778

7,791

7,803

7,816

7,829

7,841

7,854

7,867

7,880

7,892

7,905

7,918

7,931

7,943

7,956

7,969

7,981

7,994

8,007

8,020

8,032

8,045

8,058

8,071

8,083

8,096

8,109

8,121

8,134

8,147

8,160

8,172

8,185

8,198

8,211

!)

8,379

8,393

8,408

8,422

8,436

8,450

8,465

8, 479

8,493

8,508

8,522

8,536

8,550

8,565

8,579

8,593

8,607

8,622

8,636

8,650

8,665

8,679

8,693

8,707

8, 722

8,736

8,750

8,764

8,779

8,793

8,807

8,822

8,836

8,850

8,865

8,879

8,893

8,908

8,922

8,936

8,951

8,965

8,979

8,993

9,008

9,022

9,036

9,051

9,065

9,079

9,094

9,108

9,122

9,137

9,151

9,165

9,180

9,194

9,208

9,223

9,237

Corrections for curvature, refraction and 

height of instruments

-

 Miles

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

6.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

Feet

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

63

Miles

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11. 1

11.2

11. 3

11.4

11.5

11.6

11.7

11. 8

11.9

12.0

12.1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.4

14.3

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

16.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet.
OANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 281 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

HO

/

0

1

2

3

4

5

6

7

8

9

10

' 11

12

13

14

15

1C

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

1, 026. 3

1,027.9

1,029.5

1, 031. 1

1,032.7

1, 034. 3

1,036

1,038

1,039

1,041

1, 042

1, 044

1,045

1,047

1, 049

1,050

1,052

1,053

1,055

1,057

1,058

1,060

1,061

1,063

1, 065

1,066

1,068

1, 069

1,071

1,073

1,074

1,076

1,077

1,079

1,081

1,082

1,084

1,085

1,087

1,089

1,090

1,092

1,093

1,095

1,097

1,098

1,100

1,101

1, 103

1, 105

1,106

1, 108

1,109

1, 111

1,113

1,114

1,116

1, 117

1, 119

1, 121

1,122

a

2,053

2,056

2,059

2,062

2,065'

2,069

2,072

2, 075

2,078

2,081

2,085

2,088

2, 091

2, 094

2, 097

2,101

2,104

2,107

2, 110

2, 113

2, 117

2, 120

2,123

2,126

2,129

2,133

2,136

2, 139

2,142

2,145

2,148

2,152

2,156

2,158

2,161

2,164

2,168

2,171

2,174

2,177

2, 181

2,184

2,187

2, 190

2,193

2, 197

2,200

2,203

2,206

2,209

2,213

2,216

2,219

2,222

2, 225

2,229

2,232

2,235

2,238

2,241

2,245

;t

3,079

3,084

3, 089

3,093

3,098

3, 103

3, 108

3, 113

3, 1.17

3,122

3,127

3, 132

8,136

3, 141

3, 146

3,151

3,156

3, 160

3, 165

3, 170

3, 175

3,180

3, 184

3,189

3,194

3,199

3,204

3,208

3,213

3,218

3,223

3,227

3,232

3,237

3,242

3,247

3,252

3,256

3,261

3, 266

3,271

3,276

3,280

3,285

3,290

3,295

3,300

3,304

3,309

3, 314

3,319

3,324

3,328

3, 333

3,338

3, 343

3,348

3, 352

3,357

3,362

3,367

4

4,105

4, 112

4,118

4, 124

4, 131

4,137

4,144

4,150

4,156

4, 163

4,169

4,176

4,182

4,188

4,195

4,201

4,208

4,214

4,220

4,227

4,233

4,239

4,246

4, 252

4,259

4,265

4,271

4,278

4,284

4,291

4,297

4,303

4, 310

4,316

4,323

4, 329

4,335

4,342

4,348

4,355

4,361

4,367

4,374

4,380

4,387

4,393

4,399

4,406

4,412

4,419

4,425

4, 431

4,438

4,444

4,451

4,457

4,464

4,470

4,476

4,483

4,489

5

5,132

5,140

5, 148

5, 156

5,164

5,172

5,180

6,188

5, 196

5,204

5,212

5,219

5, 227

5, 235

5, 243

5,251

5,259

5,267

5,275

5,283

5,291

5, 299

5,307

5,315

5,323

5,331

5,339

5, 347

5, 355

5,363

5,371

5,379

5,387

5,395

5,403

5,411

5,419

5,427

5,435

5,443

5,451

5, 459

5,467

5,475

5,483

5,491

5,499

5,507

5,515

5,523

5,531

5,539

5,547

5,555

5,563

5,571

5,579

5,587

5,595

5,603

5,611

G

6,158

6, 168

6, 177

6,187

6,196

6,206

6,215

6,225

6,235

6,244

6,254

6,263

6,273

6,283

6,292

(i, 302

6,311

6,321

6,330

6,340

6,350

6,359

6,369

6,378

6,388

6,398

6,407

6,417

6,426

6,436

6,445

6,455

6,465

6,474

6,484

6,493

6,503

6,513

6,522

6,532

6,542

6,551

6, 561

6,570

6, 580

6,590

6,599

6,609

6,618

6,628

6,638

6,647

6, 657

6,666

6,676

6,686

6,695

6, 705

6,715

6,724

6,734

7

7,184

7,195

7,207

7,218

7,229

7,240

7, 261

7,263

7,274

7,285

7,296

7,307

7,318

7,330

7, 341

7,352

7,363

7,374

7,386

7,397

7,408

7,419

7,430

7,441

7,453

7,464

7,475

7,486

7,497

7,509

7,520

7,531

7,542

7,553

7,564

7,576

7.587

7,598

7,609

7,621

7,632

7, 643

7,654

7,665

7,677

7,688

7,699

7,710

7,721

7,733

7,744

7,755

7,766

7,778

7,789

7,800

7,811

7, 822

7,834

7,845

7,856

8

8,211

8,223

8,236

8,249

8,262

8,275

8,287

8,300

8, 31 3

8, 326

8,338

8, 351.

8,364

8,377

8,390

8,402

8,415

8,428

8,441

8,453

8, 466

8,479

8,492

8,504

8,517

8,530

8,543

8,556

8,568

8,581

8,594

8,607

8,619

8,632

8,645

8,658

8,671

8,683

8,696

8,709

8,722

8, 735

8,748

8,760

8,773

8,786

8,799

8,812

8,825

8,837

8,850

8,863

8,876

8,889

8,901.

8,914

8,927

8,940

8,953

8,966

8,978

«

9,237

9,251

9,266

9,280

9,294

9,309

9,323

9,338

9,352

9,366

9,381

9,395

9,409

9, 424

9,438

9,453

9, 467

8, 481

9, 496

9, 510

9,524

9,639

9,553

9,568

9,582

9,596

9,611

9,625

9,639

 9,654

9,668

-9,682

9,697

9,711

9,726

9,740

9,755

9,769

9,783

9,798

9,812

9,827

9,841

9,856

9,870

9,884

9,899

9,913

9,928

9,942

9,956

9,971

9,985

10, 000

10, 014

10, 029

10,043

10, 057

10,072

10,086

10,101

Corrections for curvature, refraction, and 

height of instrnmen t.«

M'Oes.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4! 8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.6

7.6

7.8

7.9

8.0

8.1

8,2

8.3

8.4

8.5

S.6

8.7

8:8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6 9.7'

9.8

9.9

10.0

10.1

Feet.

6

 7

8

9

10

11

12

13

14

15

16

17

18

19

20

21.

22

23

24

25

26

27

28

. 29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

62

53

54

65

56

58

59

60

61

. 62

63

Miles.

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11. .1

11.2

11.3

11.4

11.5

11.6

1.1.7

11.8

11.9

12.0

12.1

12. 2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13. 8 . 13.9

14.0

14.1

1.4.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

 15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

' 84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

11.9

120

122

124

125

127

129

130

132

134

135

137

139

141

142

1.44

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height .of instrument 

is assumed 4.5 feet.
282 GEOGRAPHIC TABLES AND FOBMULAS. [BULL.234. 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

12°.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

1,122

1,124

1, 126

1,127

1,129

1,130

],132

1.134

1,135

1,137

1,138

1, 140

1,142

1, 143

1,145

1, 146

1, 148

1,150

1,151

1,153

1,154

1. 156

1,158

1,159

1,161

1,163

1,164

1,166

1, 167

1,169

1,171

1,172

1,174

1,175

1,177

1,179

1, 180

1,182

1,183

1,185

1,187

1,188

1,190

1,192

1,193

1,195

1,196

1,198

1, 200

1,201

1,203

1,204

1,206

1,208

1,209

1,211

1,213

1,214

1,216

1,217

1,219

2

2,245

2,248

2,251

2,254

2,257

2,261

2,264

2, 267

2,270

2, 274

2,277

2,280

2,283

2, 286

2,290

2,293

2, 296

2,Z99

2,302

2,306

2,309

2,312

2,315

2,319

2,322

2, 325

2,328

2,331

2,335

2,338

2,341

2,344

2,348

2,351

2,354

2,357

2,360

2,364

2,367

2,370

2, 373

2,377

2,380

2,383

2,386

2,390

2,393

2,396

2,399

2,402

2,406

2,409

2,412

2,415

2,419

2,422

2,425

2,428

2,431

2,435

2,438

3

3, 367

3,372

3,377

3,381

3,386

3,391

3,396

3,401

3,405

3,410

3,415

3,420

3, 425

3,430

3,434

3,439

3,444

3,449

3,454

3,459

3,463

3,468

3, 473

3,478

3,483

3,487

3,492

3,497

3,502

3,507

3,512

3,516

3,521

3, 526

3,531

3,536

3,541

3,546

3,550

3, 555

3,560

3,565

3,570

3,575

3,579

3,584

3,589

3,594

3,599

3,604

3,608

3, 613

3,618

3,623

3,628

3,633

3,638

3,642

3,647

3,652

3,657

4

4,489

4,496

4,502

4,508

4, 515

4,521

4,528

4,534

4,541

4,547

4,554

4,560

4,566

4,573

4, 579

4, 586

4, 592

4,599

4,605

4,611

4,618

4,624

4,631

4,637

4,644

4,650

4, 656'

4,663

4,669

4,676

4,682

4,689

4,695

4,702

4,708

4,714

4,721

4,727

4,734

4,740

4,747

4,753

4,760

4,766

4,773

4,779

4,785

4,792

4,798

'4,805

4,811

4,818

4,824

4,831

4,837

4,844

4,850

4,857

4,863

4,869

4,876

5

5, 612

5,620

5,628

5,636

5,644

5,652

5,660

5,668

5,676

5,684

5,692

5,700

5,708

5, 716

5, 724

5,732

5,740

5, 748

5,756

5,764

5,772

5,780

5,788

5,796

5,804

5,812

5,821

5,829

5,837

5,845

5,853

5,861

5,869

5, 877

5,885

5,893

5,901

5,909

5,917

5,925

5,933

5,942

5,950

5, 958

5,966

5,974

5, 982

5,990

5,998

6,006

6,014

6,022

6,030

6,038

6,046

6,055

6,063

6,071

6,079

6,087

6,095

0

6,734

6,743

6, 753

6,763

6, 772

6,782

6, 792

6, 801

6,811

6,821

6,830

6,840

6,850

6,859

6, 869

6, 879

6,888

6, 898

6, 907

6, 917

6,927

6,936

6,946

6,956

6, 965

6,975

6,985

6,994

7,004

7,014

7,023

7,033

7,043

7,052

7,062

7,072

7,081

7,091

7, 101

7, 110

7,120

7,130

7,140

7,149

7,159

7,169

7, 178 '

7,188

7,198

7, 207

7,217

7,227

7,236

7,246

7,256

7, 265

7,275

7,285

7,294

7,304

7,314

1

7,856

7,867

7,879

7,890

7,901

7,912

7,924

7,935

7,946

7,957

7,969

7,980

7, 991

8,002

8,014

8,025

8,036

8,047

8,059

8,070

8,081

8,092

8,104

8,115

8,126

8,138

8,149

8,160

8,171

8,183

8,194

8,205

8,216

8,228

8,239

8,250

8,262

8,273

8,284

8,296

8,307

8,318

8,329

8,341

8,352

8,363

8,375

8,386

8,397

8,409

8,420

8,431

8,442

8,454

8,465

8,476

8,488

8,499

8,510

8,521

8,533

8

8,978

8,991

9,004

9,017

9, 030

9,043

9,056

9,068

9,081

9,094

9,107

9,120

9,133

9,146

9,158

9,171

9,184

9, 197

9,210

9,223

9, 236

9,249

9,261

9,274

9,287

9,300

9,313

9,326

9,339

9,351

9,364

9,377

9,390

9,403

9, 416

9,429

9,442

9,455

9,468

9,481

9, 494

9,506

9,519

9,532

9,545

9,558

9, 571

9,584

9,597

9,610

9,623

9,636

9,648

9,661

9,674

9, 687

9,700

9,713

9,726

9,739

9,752

!)

10,101

10,115

10, 130

10, 144

10, 159

10, 173

10, 188

10,202

10, 216

10,231

10, 245

10,260

10,274

10, 289

10,303

10, 318

10, 332

10, 347

10, 361

10, 376

10, 390

10,405

10, 419

10, 434

10,448

10, 463

10, 477

10, 491

10, 506

10, 520

10,535

10, 54'9

10, 564

10, 579

10, 593

10, 608

10, 622

10, 637

10, 651

10, 666

10, 680

10, 695

10, 709

10,724

10, 738

10, 753

10, 767

10, 782

10, 796

10,811

10, 825

10, 840

10, 855

10, 869

10,884

10,898

10, 913

10,927

10,942

10, 956

10, 971

Corrections for curvature, refraction, and 

height of instrument."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3.

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10.1

feet.

6

7

8

9

10

11

12

13

14

J.5

16

17

18

.. 19

20

21

22

23

24

25

' 2627

 28

29

30

31

32

33

34

35

36

37

38

. 39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

 54

' 55

56

58

59

 60

61

62

63

Miles.

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11. 1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

12.0

12.1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

 Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

116

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 6 feet. Height of instrument 

is assumed 4.5 feet.
GANNETT.] GEOGKRAPHIC TABLES AND FORMULAS. 283 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued.

13°.

0

1

2

3

 4

5

6

7

8

9

30

11

32

33

34

35

36

37

38

1.9

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

' 60

51

62

53

54

55

56

57

58

59

60

I

1,21.9

1, 221

1,222

1, 224

1,225

1,227

1, 229

1, 230

1,232

1,234

1, 235

1, 237

1, 238

1, 240

1,243

1,243

1,245

1,247

1,248

1,250

1, 251

1,253

1,255

1,256

1,258

1, 260

1, 261

1, 263

1,264

1,266

1, 268

1,269

1,271

1,273

1,274

1,276

1,277

1, 279

1,281

1,282

1,284

3,286

1,287

1,289

1,290

1,292

1, 294

1,295

1,297

1,299

1,300

1,302

1,303

1,305

1,307

1,308

1, 310

1, 312

1,313

1,315

1,316

a

2,438

2,441

2,444

2,448

2, 451

2,454

2,457

2,461

2,464

2,467

2,470

2,474

2,477

2,480

2,483

2, 487

2, 490

2,493

2, 496

2,500

2,503

2, 506

2, 509

2,513

2,516

2, 519

2, 522

2, 525

2, 529

2,532

2,535

2,538

2, 542

2,545

2,548

2,551

2,555

2,558

2,661

2,565

2,568

2,571

2,574

2,578

2,581

2,584

2,587

2,591

2,594

2,597

2,600

2,004

2,607

2, 610

2,633

2, 617

2, 620

2,623

2, 626

2,630

2,633

8

3,657

3,662

3,667

3,672

3,676

3,681

3,686

3,691

3, 696

3,701

3, 706

3,730

3,735

3, 720

8,725

3,730

3, 735

3, 740

3,744

3,749

3,754

3,759

3,764

3,769

3, 774

3,779

3,783

3,788

3,793

3,798

3,803

3,808

3,813

3,817

3,822

3,827

3,832

3,837

3,842

3,847

3,852

3,857

3,861

3,866

3,871

3,876

3,881

3,886

3, 891

3,896

3.900

3,905

3, 910

3,915

3,920

3,925

3, 930

3, 935

3,940

3,944

3,949

4

4,876

4,882

4,889

4,895

4,902

4,908

4,915

4,921

4,928

4; 934

4,941

4, 947

4, 954

4,960

4,967

4,973

4,980

4,986

4, 993

4,999

5,006

5,012

5,019

5, 025

5,032

5,038

5,044

5,051

5,057

5,064

5,070

5,077

5,083

5,090

5,096

5,103

5,109

5,116

5,122

5,129

5,135

5,142

5, 149

5,155

5, 162

5, 168

5, 3.75

5,181

5,188

5,194

5,201

5, 207

5, 214

5,220

5,227

5,233

5, 240

5, 246

5,253

5,259

5,266

5

6,095

6,103

6, 111

6, 119

6, 127

6,135

6, 143

6,152

6,160

6,168

6,176

6, 3 84

6, 192

6,200

6,208

6, 236

6,224

6, 233

6, 241

6, 249

6,257

6, 265

6,273

6, 281

6,289

6, 297

6,306

6,314

6, 322

6,330

6,338

6, 846

6,354

6,362

6, 871

6,379

6,387

6,395

6,403

6,411

6,419

6,427

6,436

6,444

6, 452

6, 460-

6,468

6,476

6,484

6,493

6,501

6, 509

6,517

6,525

6,533

6,541

G, 550

6,558

6, 566

6,574

6, 582

G

7,314

7,324

'7,333

7,343

7,353

7, 362

7, 372

7,382

7, 392

7,401

7,411

7,421

7,430

7,440

7,450

7,460

7,469

7,479

7,489

7, 499

7,508

7,518

7,528

7,537

7,547

7,557

7,567

7,576

7,586

7,596

7,606

7,615

7, 625

7,635

7,645

7,654

7,664

7,674

7,684

7,693

7,703

7,713

7,723

7, 732

7,742

7,752

7,762

7,771

7,781

7,791

7,801

7,811

7,820

7,830

7,840

7,850

7,859

7,869

7,879

7,889

7,899

7

8,533

8,544

8,556

8,567

8,578

8,590

8,601

8,612

8,624

8,636

8,046

8, 658

8, 069

8,680

8, 692

8, 703

8, 714

8,720

8,737

8,748

8,760

8, 771

8,782

8,794

8,805

8,816

8,828

8,839

8,851

8,862

8, 873

8,885

8,890

8,907

8, 919

8,930

8, 942

8,953

8,964

8,976

8,987

8,999

9,010

9, 021

9,033

9, 044

9,055

9,067

9,078

9, 090

9, 101

9, 112

9,124

9, 135

9,147

9, 158

9, 170

9, 181

9, 192

9, 204

9,215

8

9,752

9,765

9,778

9,791

9,804

9,817

9, 830

9,843

9,855

9, 868

9,881

9, 894

9,907

9, 920

9,933

9, 940

9, 959

9,972

9,985

9,998

10,011

10, 024

10, 037

10,050

10,003

10,076'

10, 089

10, 102

10, 115

10,128

10, i41

10, 354

10,367

10, 180

10, 193

10, 206

10, 219

10,232

10, 245

10,258

10,271

10,284

10, 297

10,310

10, 323

10, 336

10, 349

10, 362

10, 375

10, 388

10,401

10,41.4

10, 427

10,440

30,453

10,466

10, 479 10,492--

10, 506

10,519

10, 532

»

10, 971

10, 985

11, 000

11,015

11,029

11,044

11,058

11,073

1.1, 087

11, 102

11,117

11,131

11,146

11,160

11,175

11,190

11, 204

13,219

11,233

11,248

11,262

11,277

11, 292

11,306

11, 321

11,336

11,350

11,365

11,379

11,394

11,409

31,423

11,438

11,452

11,467

11,482

11,496

11,511

11,526

11, 540

11,655

11, 569

11,584

11, 599

11, 013

11,628

11,643

11, 057

11, 672

11,687

11,701

11,716

11, 7111

11, 745

11,760

11,775

11,789

11,804

1.1,819

11,833.

11,848

Corrections for cnrva- 

- ture, refraction, and 

heightof instrument."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

6.5

5.7

5.8

6.0

6.1

0.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10. 1

Fed.

6

7

8

9

10

11

12

33

34

15

36

17

38

39

20

- 21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

61

52

63

54

55

66

68

59

00

61

62

63

MUes.

1.0. 2

1.0. 3

10.4

10. 5

30. 0

10.7

10.8

10.9

.11. 0

11. 1

11.2

31. 3

11.4

11.6

11.6

11.7

11. 8

11.9

12.0

12. 1

12. 2

12.3

12.4

12.5

12.6

12.7

12.8-

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13;8

13.9

14.0

14; 1

14'. 2

14.3

14.4

14.5

14.6

1.4.7

14.8

14.9

15.0

35.1

1.5. 2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

.64

, 65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

80

87

89

90

91

93

94

90

97

99

100

102

103

105

100

108

109

111

112

114

116

117

119

120

122

124

125

127

120

130

132

134

135

137

139

141

142

144

146

148

150

151

a For all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet.
284 GEOGEAPHIO TABLES AKD FOEMULAS. [HULL.284. 

TABLE 26. For obtaining differences of altitude for any minute, etc. Continued. .

14°.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

1

1,316

1,318

1,320

1,321

1,323

1,325

1,326

1,328

1,330

1,331

1,333

1,334

1,336

1,338

1,339

1,341

1,343

1,344

1,346

1,348

1,349

1,351

1,352

1,354

1,356

1,357

1,359

1,361

1,362

1,364

1,366

1,367

1,369

1,370

1,372

1,374

1,375

1,377

1,379

1,380

1,382

1,384

1,385

1,387

1,388

1,390

1,392

1,393

1,395

1,397

1,398

1,400

1,402

1,403

1,405

1,407

1,408

1,410

1,411

1,413

1,415

«

2,633

2,636

2,639

2,643

2,646

2,649

2,653

2,656

2,659

2,662

2,666

2,669

2,672

2,675

2,679

2,682

2,685

2,688

2,692

2,695

2,698

2,702

2,705

2,708

2,711

2, 715

2,718

2,721

2,724

2,728

2,731

2,734

2,738

2,741

2,744

2, 747

2,751

2,754

2,757

2,761

2,764

2,767

2,770

2,774

2,777

2,780

2,784

2,787

2,790

2,793

2,797

2,800

2,803

2,807

2,810

2,813

2,816

2,820

2,823

2,826

2, 830

a

3,949

3,954

3,959

3,964

3,969

3,974

3,979

3,984

3,989

3,993

3,998

4,003

4,008

4,013

4,018

4,023

4,028

4,033

4,038

4,042

4,047

4,052

4,057

4,062

4,067

4,072

4,077

4,082

4,087

4,092

4,097

4,101

4,106

4,111

4,116

4,121

4,126

4,131

4,136

4,141

4,146

4,151

4,156

4,160

4,165

4,170

4,175

4, 180

4,185

4,190

4,195

4,200

4,205

4, 210

4,215

4,220

4,225

4,230

4,234

4,239.

4,244

4

5,266

5,272

6,279

5,285

5,292

5,298

5,305

5,312

5,318

5,325

5,331

5,338

5,344

5,351

5,357

5,364

5,370

5,377

5,383

5,390

5,397

5,403

5,410

5,416

5,423

5, 429

5,436

 5,442

5,449

5,455

5,462

5,469

5,475

5,482

5,488

5,495

.5,501

5,508

5,514

5,521

5,528

5,534

5,541

5,547

5,554

5,560

5,567

5,574

5,580

5,587

5,593

5,600

5,606

5, 613

5,620

5,626

5,633

5, 639

5,646

5,653

5,659

5

6,582

6,590

6,599

6,607

6,615

6,623

6,631

6,639

6,648

6,656

6,664

6, 672

6,680

6,688

6,697

6, 705

6,713

6, 721

6,729

6,737

6,746

6,754

6,762

6,770

6,778

6,787

6,795

6,803

6,811

6,819

6,828

6,836

6,844

6,852

6,860

6,868

6,877

6,885

6,893

6,901

6,910

6,918

6,926

6,934

6,942

6,951

6,959

6,967

6,975

6,983

6,992

7,000

7,008

7,016

7,024

7,033

7,041

7,049

7,057

7,066

7,074

(i

7,899

7,909

7,918

7,928

7,938

7,948

7,957

7,967

7,977

7,987

7,997

8,006

8,016

8,026

8,036

8,046

8,056

8,065

8,075

8,085

8,095

8,105

8,114

8,124

8,134

8,144

8,154

8,164

8,173

8,183

8,193

8,203

8,213

8,223

8,232

8,242

8,252

8,262

8,272

8,282

8,291

8,301

8,311

8,321

8,331

8,341

8,351

8,360

8,370

8,380

8,390

8,400

8,410

8,420

8,429

8,439

8,449

8,459

8,469

8,479

8,489

7

9,215

9,227

9, 238

9,249

9,261

9,272

9,284

9,295

9,307

9, 318

9,329

9,341

9,352

9,364

9,375

9,387

9,398

9,410

9,421

9,432

9,444

9,455

9,467

9,478

9,490

9,501

9,513

9,524

9,536

9,547

9,559

9,570

9,581

9,593

9,604

9,616

9, 627

9,639

9,650

9,662

9,673

9,685

9,696

9,708

9.719

9; 731

9,742

9,754

9,765

9,777

9,788

9,800

9,811

9,823

9,834

9,8i6

9,8o7

9,869

9,880

9,892

9,903

8

10, 532

10,545

10,558

10,571

10,584

10,597

10, 610

10, 623

10, 636

10, 649

10, 662

10, 675

10,688

10,701

10, 715

1.0, 728

10, 741

10, 754

10, 767

10, 780

10, 793

10, 806

10, 819

10, 832

10, 845 .

10, 859

10, 872

10,885

10, 898

10, 911

10, 924

10,937

10, 950

10,963

10, 976

10, 990

11, 003

11,016

11,029

11, 042

11, 055

11,068

11,081

11, 095

11, 108

11, 121

11, 134

11, 147

11, 160

11,173

11, 187

11, 200

11, 213

11,226

11 , 239

11, 2o2

11,2(>6

11, 2"9

11, 292

11, 305

, 11, 318

9

11,848

11, 863

11, 877

11, 892

11,907

11, 923

11, 936

11, 951

11, 966

11, 980

11, 995

12, 010

12, 024

12, 039

12,054

12, 069

12, 083

12, 098

12, 113

12, 127

12, 142

12; 157

12, 172

12, 186

12. 201

12; 216

12,231

12, 245

12, 260

12, 275

12, 290

12, 304

12, 319

12, 334

12, 349

12, 363

12, 378

12..393

12, 408

12, 422

12,437

12,452

12, 467

12,481

12, 496

12,511

12, 526

12, 541

12, 555

12, 570

12, 585

12, 600

12,615

12,629

12,644

12, 659

12, 674

12,689

12, 703

12, 718

12, 733

Corrections for curvature, refraction, and 

heigh t of i nstrurri en t.«

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.6

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

5.4

5.5

5.7

5.8

6.0

6.1

6.3

6.4

6.5

6.7

6.8

6.9

7.0

7.2

7.3

7.4

7.5

7.6

7.8

7.9

8.0

8.1

8.2

8.3

8.4

8.5

8.6

8.7

8.8

8.9

9.0

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.8

9.9

10.0

10. 1

Feet.

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

430

44

45

46

47

48

49

50

51

52

53

54

55

56

58

59

60

61

62

03

Miles.

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11. 1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11. 9

12.0

12.1

12. 2

12.3

12.4

12.5

12.6

12.7

12.8

12.9

13.0

13.1

13.2

13.3

13.4

13.5

13.6

13.7

13.8

13.9

14.0

14.1

14.2

14.3

14.4

14.5

14.6

14.7

14.8

14.9

15.0

15.1

15.2

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

Feet.

64

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

97

99

100

102

103

105

106

108

109

111

112

114

115

117

119

120

122

124

125

127

129

130

132

134

135

137

139

141

142

144

146

148

150

151

oFor all distances under 1.6 miles the correction may be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet.
OANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 285 

TABLE 27. HOKI/ONTAIJ DISTANCES AND ELEVATIONS FROM STADIA HEADINGS.

This is a most generally useful stadia table for rods reading 1 foot to 

the 100 feet and with angles up to 30°. The values of other measures 

than those given in the table are obtained by multiplying the quantities under the proper vertical angle by stadia readings in hundreds of 

units. The quantity representing the focal distance is very small and 

is given at the bottom of each page for focal lengths between threefouirths and 1£ feet and is represented as a constant equal to c. 

For ordinary work it is not necessaiy to take the latter into account. 

The1 direct use of the table involves a multiplication for each result 

obtained.

'Example. Let rod intercept be 3.25 feet, and the angle of inclination be 5° 35'. Then the distance on the horizontal would be

^=325 feet. . .

If we accept the focal distance ,/+6- as 1.25 feet, we have from the 

tables

^'=3.25 feetX 99.05+1.24-323.15 feet, 

h=3.25 feet X 9.68+0.11 = 31.57 feet. .
286 GEOGRAPHIC TABLES AND FOEMULAS. [BULL.234. 

TAKLK 27. Horizontal distances and elevations from stadia readings.

Minutes.

0

2

4

6

8

10

12

14

16

18

20

2224-

26

28

30

32

34

36

38

,40

42

44

46

48

50

52 .

54

56

58

60

c=0. 75

c=1.00

c=l.'25

0°.

Horizontal distance.

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

100. 00

99. 99

99.99

99.99

99.99

99.99

99.99

99.99

99.99

99.99

99.98

99.98

99.98

99.98

99.98

99.98

99.97

99. 97

99.97

0.75

1.00

1.25

Difference

of elevation.

0.00

0.06

0.12

0.17

0.23

0.29

0.35

0.41

0.47

0.52

0.58

0.64

0.70

0.76

0.81

0.87

0.93

0.99

1.05

1.11

1.16

1. 22

l;28

1.34

1. 40

1. 45

1. 51

1.57

1. 63

1.69

1. 74

0.01

0.01

0:02

1°.

Horizontal distance.

99.97

99.97

99. 97

99.96

99.96

99.96

99.96

99.95

99.95

99.95

99.95

99.94

99.94

99. 94 '

99.93

99.93

99.93

99.93

99.92

99.92

99.92

99.91

99.91

99.90

90.90

99. 90

99. 89

99.89

99.89

99.88

99.88

0.75

1.00

1.25

Difference

of elevation.

1.74

1.80

1.86

1.92

1. 98

2.04

2.09

2.15

2.21

2.27

2.33

2.38

2.44

2.50

2.56

2.62

2.67

2.73

2.79

2.85

2.91

2.97

^3.02

3.08

3.14

3.20

3.26

3.31

3.37

3.43

3.49

0.02

0.03

0.03

2°.

Horizontal distance.

99.88

99.87

99.87

99.87

99.86

99.86

99.85

99.85

99.84

99.84

99.83

99.83

99.82

99.82

99.81

99.81

99.80

99.80

99.79

99.79

99.78

99.78

99.77

99.77

99.76

99.76

99.75

99. 74

99.74

99.73

99.73

0.75

1.00

1.25

Difference

of elevation.

3.49

3.55

3.60

3.66

3.72

3.78

3.84

3.90

3.95

4.01

4.07

4.13

4.18

4.24-

4.30

4.36

4.42

4.48

4.53

4.59

4.65

4.71

4.76

4.82

4.88

4.94

4.99

5.05

5. 11

.. 5.17

 5.23

0.03

0.04

0.05

3°.

Horizontal distance.

99.73

99.72

99. 71

99.71

99.70

99.69

99.69

99.68

99.68

99.67

99.66

 99.66

99.65

99.64

99.63

99. 63

99.62

99.' 62

- 99.61

99.60

99.59

99.59

99.58

99.57

99.56

99.56

99.55

99.54

99. 53

99.52

99. 51

0.75

1.00

1.25

Difference

of elevation.

5.23

5.28

5.34

5.40

5.46

5.52

5,57

5.63

5.69

5.75

5.80

5.86

5.92

5.98

6.04

6.09

6.15

6.21

6.27

6.33

6.38

6.44

6.50

6.56

6.61

6.67

6.73

6.78

6.84

9.90

6.96

0.05

0.06

0.08
GANNETT.] GEOGEAPHIC TABLES AND EOEMULAS. . 287 

TAHI/K 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

 ' 4

6

8

10

12

14

16

18

20

22

24

26

28

30

32

34

36

.38

40

42

44

46

48

50

52

54

56

58

60

c=0. 75

c=l. 00

c=l. 25

4°.

Horizontal distances.

99. 51

99.51

99.50

99.49

99.48

99.47

99.46

99.46

99.45

99.44

99.43

99.42

99. 41

99.40

99. 39

99.38

99. 33

99. 37

99.36

99.35

99. 34

99. 33

99.32

99. 31

99.30

99. 29 .

99. 28

99.27

99.26

99.25

99. 24

0.75

1.00

1.25

Difference

of elevation.

6.96

7.02

7.07

7.13

7.19

7.25

7.30

7.36

7.42

7.48

7.53

- 7.59

7.65

7.71

7.76

7.82

7.88

7.94

7.99

8.05

8.11

8.17

8.22

8.28

8.34

8.40

8.45

8.51

8.57

8.63

8.68

0.06

0.08

0.10

5°.

Horizontal distances.

99.24

99.23

99.22

99. 21

99.20

99.19

99.18

99. 17

99. 16

99. 15

99.14

99. 13

99.11

99. 10 '

99.09

99.08

99.07

99.06

99.05

99.04

99.03

99. 01

99. 00 .

98.99

98.98

98.97

98.96

98.94

98. 93

98. 92

98. 91

0.75

0.99

1.24

Difference

of elevation.

8.68

8.74

8.80

8.85

8.91

8. 97

0

9.03

9.08

9.14

9.20

9.25

9. 31

9.37

9.43

9.48

9.54

9.60

9.65

9.71

9.77

9.83

9.88

9.94

10. 00

10. 05

10.11

10.17

10. 22

10. 28

10. 34

10. 40

0.07

0.09

0. 11

0°.

Horizontal distances.

98. 91

98.90

98.88

98.87

98.86

98.85

98.83

98.82

98. 81

98.80

98.78

98.77

98.76

98.74

98.73

98.72

98.71

98.69

98.68

98.67

98. 65.

98. 64

98.63

98.61

98.60

98.58

98.57

98.56

98.54

98. 53

98. 51

 0.75-

0.99

1.24

Difference

of elevation.

10. 40

10. 45

10. 51

10. 57

10.62

10.68

10. 74

10. 79

10. 85

10. 91

10.96

11. 02

11. 08

11. 13

11.19

11.25

11.30

11.36

11. 42

11. 47

11.53

11. 59

11. 64

11. 70

11.76

11.81

11. 87

11. 93 .

11. 98

12. 04

12.10

' 0.08

0. 11

0.14

7°.

Horizontal distances.

98. 51

98.50

98. 48

98.47

98.46

98.44

98.43

98. 41

98.40

98.39

98. 37

98. 36

98. 34

98.33

98. 31

98.29

98.28

98.27

98.25

98.24

98.22

98.20

98. 19

98. 17

98. 16

98.14

98. 13

98. 11

98. 10

98.08

98.06

0.74

0.99

1.24

Difference

of elevation.

12. 10

12. 15

12.21

12.26

12.32

12.38

12.43

12.49

12.55

12. 60

12.66

12.72

12.77

12.83

12. 88

12. 94

13.00

13. 05

13. 11

13. 17

13.22

13.28

13.33

13. 39

13.45

13.50

13.56

13. 61

13. 67

13. 73

13.78

0.10

0. 13

0. 16
288 GEOGRAPHIC TABLES AND FORMULAS. [BULL,234. 

TABLE 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

4 

6

8

10

12

14

16

18

20

22

24

26 -28

30

32

34

36

38

40

42

44

46

48

50

52

54

56

58

60

c=0. 75

c=l. 00

c=1.2S

8°.

Horizontal distances.

98.06

98.05

98.03

98. 01

98.00

97.98

97.97

97.95

97. 93

97.92

97.90

97.88

97.87

97.85

97.83

97.82

97.80

97.78

97.76

97. 75

97.73

97.71

97.69

97.68

97.66

97. 64

97.62

97. 61

97.59

97.57

97.55

0.74

0.99

1.23

Difference

of elevation.

13.78

13.84

13.89

13.95

14.01

14.06

14. 12

14.17

14.23

14.28

14.34

14.40

14.45

14.51

14.56

14.62

14.67

14. 73

14.79

14.84

14.90

14.95

15.01

15.06

15.12

15.17

15. 23

15.28

15.34

15.40

15.45

0.11

0.15

. 0.18

9°. .

Horizontal distances.

97.55

97.53

97.52

97.50

97.48

97.46

97.44

97.43

97.41

97.39

97.37

97.35

97.33

97.31

97.29

' 97.28

97.26

97.24

97.22

97.20

97.18

97.16

97.14

97.12

97.10

97.08

97.06

97.04

97.02

97.00

96.98

0.74

0.99

1.23

Difference

of eleva-

 tion.

15.45

15. 51

15.56

15.62

15.67

15.73

15. 78 

15.84

15.89

15.95

16. 00

16.06

16. 11

16.17

16.22

16.28

16.33

16.39

16.44

16.50

16.55

16.61

16.66

16.72

16.77

16.83

16. 88.

16.94

16.99

17.05

17.10

0.12

0.16

0.21

10°.

Horizontal distances.

96.98

96.96

96.94

96.92

96.90

96.88

96.86

96.84

96.82

96.80

96.78

96.76

96.74

96.72

96. 70

96.68

96.66

96.64

96.62

96.60

96.57

96.55

96.53

96.51

96.49

96.47

96.45

96.42

96.40

96.38

96.36

0.74

0.98

1.23

Difference

of elevation.

17.10

17. 16

17.21

17.26

17.32

17.37

17.43

17. 48

17.54

17.59

17.65

17.70

17.76

17.81

17.86

17. 92

17.97

18.03

18.08

18.14

18.19

.18. -24

18.30

18.35

18.41

18.46

18.51

18.57

 18. 62

18.68

18.73

0.14

0.18

0.23

11°.

Horizontal distances.

96.36

96.34

96.32

' 96. 29

96.27

96. 25

96.23

96.21

96.18

96.16

96.14

96.- 12

96.09

96.07

96.05

96.03

96. 00

95.98

95.96

95.93

95.91

95.89

95.86

95.84

95.82

95.79

95.77

95.75

95.72

95.70

95.68

0.73

0.98

1.22

Difference

of elevation.

18.73

18.78

18.84

 18. 89

18.95

19.00

19.05

19.11

19.16

19. 21

19.27

19. 32

19.38

19.43

19.48

19.54

19.59

19.64

19.70

19.75

19.80

19.86

19.91

19.96

20.02

20.07

20.12

20.18

20.23

20.28

20.34

0.15

0.20

0.25
GANNETT.] .. GEOGRAPHIC TABLES AND FORMULAS. 289 

TABLE 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

4

6

8

10

12

14

16

18

20

22 24

26

28

30 -

32

34

36

38

40

42

44

46

48

50

52

54

56

58

60

c=0. 75

c=l. 00

c=l. 25

12°.

Horizontal distances.

95. 68.

95.65

95. 63

95. 61

95. 58

95. 56

95. 53

95. 51.

95. 49

95. 46

' 95. 44

95. 41

95.39

95. 36

95. 34

95/32

95. 29

95. 27

95. 24

95. 22

95. 19

95. 17

95.14

95..12

95. 09

95. 07

95.04

95. 02

94. 99

94. 97

94. 94

0.73

0.98

1.22

Difference

of elevation.

20. 34

20.39

20.44

20.50

20. 55

20.60

20.66

20. 71.

20.76

20 81

20.87

20. 92

' 20.97

21. 03

21.08

21. 13

21.18

21. 24

21. 29

21. 34

21. 39

21.45

21. 50

21, 55

21.60

21.66

21. 71

21.76

21. 81

21.87

21.92

0.16

0.22

. 0.27

13°.

Horizontal distances.

94.94

94. 91

94.89

94.86

94.84

94. 81

94.79

94. 76

94. 73

94. 71

94.68

94. 06

94.63

94. 60

94.58

94. 55

94.52

94. 50

94. 47

94. 44

94. 42

94.39

94. 36

94.34

94. 31

94.28

94.26

94.23

94.20

94.17

94. 15

0.73

0.97

1. 21

Difference

of elevation.

21.92

21.97

22.02

22.08

' 22.13

22.18.

22. 23

22.28

22. 34

22. 39

22.44

22.49

22.54

22. 60

22. 65

22.70

22.75

22.80

22.85

22.91

22. 96

23. 01

23.06

23. 11

23. 16

23. 22

23.27

23.32

23. 37

23.42

23. 47

0.17

0.23

0.29

14°. '

Horizontal distances.

94. 15

94. 12

94.09

94.07

94.04

94. 01

93. 98

93. 95

93. 93

93. 90

93. 87

93. 84

93. 81

93. 79

93. 76

93. 73

93. 70

93. 67

93. 65

93. 62

93. 59

93.56

93. 53

93.50

93.47

93. 45

93.42

93. 39

93.36

93.33

93.30

0:73

0.97

1.21

Difference

of elevation.

23.47

23.52

23.58

23. 63

23. 68

23. 73

23. 78

' 23.83

23.88

23'. 93

23.99

24.04

24.09

24. 14

24. 19

24.24

24. 29

24.34

24.39

24.44

24. 49

24.55

24.60

24. 65

24.70

24.75

24.80

24.85

24.90

24.95

25. 00

0.19

0.25

0.31

15°. ;

Horizontal distances.

93. 30

93.27

93. 24

93. 21

93. 18

93. 16

93. 13

93. 10

93. 07

93: 04

93. 01

92. 98

92.95

92.92

92. 89

92. 86

92. 83

92. 80

92. 77

92.74

92. 71

92. 68

92,65

92.62

92.59

92. 56

92.53

92.49

92. 46

92. 43

92.40

0.72

0.96

1.20

Difference

of elevation.

25.00

25.05

25. 10

25.15

25.20

25.25

25.30 

25.35

25.40

25.45

25.50

25.55

25.60

25.65

25.70

25.75 :

. 25.80

25.85

25. 90

25. 95

26.00

26.05

26. 10

26. 15

26.20

26.25

26. 30

26/35

26.40

26.45

26.50

0.20

0.27 ;

0.34 !

Bull. 234 04 r-19
290 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

4

6

8

10

12

14

16

18

20

22

24

26 -28

30

32-

34

36

38

40

42

44

46

48

50

52

54

56

58

60

o=0. 75

c=1.00

c=l. 25

16°.

Horizontal distances.

92.40

92.37

92.34

92. 31

92.28

92.25

92.22

92.19

 92.15

92.12

92.09

92.06

92.03

92.00

91.97

91.93

91. 90

91. 87

91. 84

91. 8.1

91. 77

91. 74

91.71

91. 68

91.65

91.61

91. 58

9"!. 55

91.52

91.48

91.45

0.72

0.86

1.20

Difference

of elevation.

26. bO

26.55

26.59

26.64

26. 69

26.74

26.79

26.84

26.89

26.94

26.99

27. 04

27.09

27. 13

' 27.18

27. 23

27.28

27. 33

27. 38

27. 43

27.48

27. 52

27. 57

27.62

27.67

27.72

27.77

'27. 81

27. 86

27. 91

27.96

0.21

0.28

0.35

i7=;

Horizontal distances.

91.45

91.42

91.39

91. 35

91.32

91.29

91.26

91. 22

91. 19

91. 16

91. 12

91.09

91. 06

91. 02

90:99

90. 96

90. 92

90. 89

90. 86

90.82

90. 79

90. 76

90. 72

90.69

90.66

90.62

90. 59

90.55

90.52

90.48

90.45

0.72

0.95

1.19

Difference

of 'elevation.

27.96

28.01

28.06

28. 10

28.15

28.20

28.25

28.30

28. 34

28.39

28.44

28.49

28.54

28. 58

28.63

28.68

 28.' 73

28.77

28.82

28.87

28.92

28.96

29.01

29.06

29. 11

29. 15

29.20

29. 25

29. 30

29. 34

29. 39

0.23

0.30

0.38

18°.

Horizontal distances.

90.45

90.42

90.38

90. 35

90. 31

90.28

90. 24

90. 21

90.18

90. 14

 90. 11

90. 07

90.04

90.00

89.97

89. 93

89. 90

89. 86

89.. 83

89.79

89.76

89.72

89.69

89.65

89. 61

89. 58

89.54

89. 51

89.47

89.44

89.40

0.71

0.95

1.19

Difference

of elevation.

29.39

29.44

29.48

29.53

29..5S

29.62

29.67

29.72

29.76

29. 81

29.86

29.90

29.95

30. 00

30.04

30. 09

30. 14

30. 1.9

30. 23

30.28

30.32

30.37

30. 41

30.46

30. 51

30. 55

30. 60

30. 65

30.69

30. 74

30. 78

0.24

0.32

0.40

19°.

Horizontal distances.

89.40

89.36

89.33

89.29

89.26

89.22

89. 18

89.15

89. 11

89.08

89.04

89.00

88.96

88.93

88.89

88.86

88.82

88.78

88.75

88. 71

88.67

88.64

88.60

88.56

'88. 53

88.49

88. 45

88. 41

88.38

88.34

88. 30

0.71

0.94

1.18

Difference

of elevation.

30.78

30.83

30.87

30.92

30.97

31. 01

3.1 . 06

31. 10

31.15

31. 19

31.24

31.28

31.33

31. 38

31.42

31.47

31. 51

31. 56

31. 60

31.65

31. 69

31. 74

31.78

31. 83

31. 87

31. 92

31. 96

32. 01

32. 05

32. 09

32. 14

0.25

0. 33

0.42
GANNETT.J GEOGRAPHIC TABLES AND FORMULAS. 291 

TABLE 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

4

6

8

10

12

.1.4

16

18

20

22

24

26

28

30

32

34

36

38

40

42

44

46

48

50

52

54

5658'

60

c=0. 75

c=l. 00

c=l. 25

20°.

Horizontal distances.

88.30

88. 26

88.23

88. 19

88. 15

*88. 11

88.08

88.04

88.00

87.96

87. 93

87. 89

87.85

87. 81

87. 77

87.74

87.70

87. 66 . 87.62

87.58

87.54

87. 51

87.47

87.43

87. 39

87.35

87. 31

87.27

87.24

87.20

87. 16

0.70

0.94

1.17

Difference

of elevation.

32.14

32. 18

32.23

32.27

32.32

32. 36

32. 41

32. 45

32. 49

32. 54

32. 58

32. 63

32. 67

32. 72

32. 76

32. 80

32. 85

32. 89

32. 93

32. 98

33. 02

33. 07

33. 11

: 33. 15

33. 20

33. 24

33. 28

33. 33

33. 37

33. 41

33. 46

0.26

0.35

0.44

21°.

Horizontal distances.

87.16

87. 12

87.08

87.04

87.00

86.96

86. 92

86.88

86.84

86.80

86.77

86. 73

86. 69

86.65

86. 61

86. 57

86. 53

 86.49

86.45

86. 41.

86. 37 '

86. 33

86. 29

86.25

86. 21

86.17

86. 13

86. 09

86.05

86. 01

85.97

0.70

0.93

1.16

Difference

of elevation.

33.46

33.50

33.54

33. 59

33. 63

33. 67

33. 72

33. 76

33. 80

33. 84

33.89

33. 93

33. 97

34. 01

34. 06

34. 10

34. 14

34. 18

34. 23

34. 27

34.31

34. 35

34: 40

34. 44

34. 48

34.52

34.57

34. 61

34.65

34.69

34. 73

0.27

0.37

0.46

22°.

Horizontal distances.

85.97

85.93

85.89

85.85

85.80

 85.76

85.72

85.68

85.64

85.60

85.56

85.52

85.48

85.44

85.40

85.36

85. 31

85.27

85. 23

85.19

85.15

85. 11

85.07

85.02

84.98

84.94

84. 90

84.86

84.82

84.77

84. 73

0.69

0.92

1.15

Difference

of elevation:

34.73

34. 77

34.82

34. 86

34. 90

34. 94

34. 98

35.02'

35. 07

35. 11

35.15

35.19

35.23

35. 27

35. 31.

35. 36

35. 40

35. 44

35. 48

35. 52

35.56

35.60

35.64

35. 68

35.72

35.76

35. 80

35,85

35. 89

35. 93

35.97

 0.29

0.38

0.48

23°.

Horizontal distances.

84. 73

84.69

84.65

84. 61

84.57

84.52

84.48

84.44

84.40

84. 35

84. 31

84. 27

84.23

84. 18

84. 14

84. 10

84.06

' 84.01

83. 97

83. 93

83.89

83. 84

83.80

83.76

83.72

83.67

83.63

83.59

' 83.54

83.50

83.46

0.69.

0.92

1.15

Difference

 of elevation.

35.97

36.01

36.05

36. 09

36. 13

36.17

36. 21

36. 25

36. 29

36. 33

36.37

36. 4.1.

36. 45

36. 49

36. 53

36. 57

36. 61

36. 65

36. 69

36. 73

36. 77

36. 80

36. 84

36. 88

36.92

36.96

37.00

37. 04

37. 08

37. 12

37. 16

0.30

0.40

0.50
292 GEOGRAPHIC TABLES ATSTD FORMULAS. [suLL.234. 

TABLE 27. Horizontal distances and elevations from stadia readings Continued.

Minutes.

0

2

4

6

8

10

12

14

16

18

20

22

24

26

28

,30

32

34

36

38

40

. 42

44

46

48

50

52 

54

56

58

60

c=0. 75

'c=1.00

c=1.25

24°.

Horizontal distances.

83.46

83. 41

83. 37 .

83. 33

83.28

83.24

83.20

83. 15

83. 11

83.07

83.02

82. 98

82. 93

82. 89

82.85

82.80

82. 76

 82. 72

82.67

82. 63

82.58

82.54

82.49

82.45

82.41

82.36

82.32

82.27

82.23

82.18

82.14

0.68

0.91

1.14

Mfference

of elevation.

37.16

37. 20

37. 23

37.27

37. 31

37.35

37.39

37.43

37. 47

37. 51

37.54

37. 58

37. 62

37. 66

37. 70

37. 74

37. 77

37. 81

37. 85

37.89

37. 93

37. 96

38.00

38.04

38.08

38.11

38.15

38. 19

38. 23

38.26

38.30

0: 31

0.41

0.52

25°.

Horizontal distances.

82.14

82.09

82.05

82. 01

81.96

81. 92

81. 87

81.83

81.78

81. 74

81.69

81.65

81. 60

81. 56

81. 51

81.47

81. 42

81.38

81.33

 81.28

81.24

81.19

81.15

81.10

81.06

'81.01

80.97

80.92

80.87

80.83

80.78

0.68

0.90

1.13

difference

of elevation.

38.30

38. 34

38. 38

38. 41

38.45.

38.49

38153

38. 56

38.60

38. 64

38.67

38. 71

38. 75

38/78

38. 62

38. 86

38. 89

38. 93

38.97

39. 00

39. 04

39.08

39. 11

' 39. 15

39.18

39.22

39. 26

. 39.29

39.33

39.36

39. 40

0.32

0.43

0.54

26°.

Horizontal distances.

80.78

80.74

80.69

80.65

80. 60 .

80.55

80. 51

80. 46

80. 41

80. 37

80.32

80.28

80. 23

80. 18

HO. 14

80. 09

80.04

80. 00

79. 95

.79. 90

79. 86

79.81

79.76

79.72

79.67

. 79.62

79.58

79. 53

79. 48

79.44

79. 39

0.67

0.89

1.12

Difference

of elevation.

39.40

39.44

39.47

39. 51

39.54

39. 58

39. 61

39. 65

39. 69

39. 72

39.76

39. 79

39. 83

39. 86

39.90

39. 93

39. 97

40.00

40.04

40.07

40. 11

40.14

40. 18

40.21

40.24

40.28

40.31

40. 35

40.38

40. 42

40.45

0.33

0.45

0.56

27°.

Horizontal distances.

79.39

79.34

79. 30 .

79. 25

79. 20

79. 15

79. 11.

79.06

79. 01

78. .96

78.92

. 78. 87

78.82

7S..77

78.73

78.68

78. 63

78.58

78.54

78.49

78.44

78.39

78.34

78. 30

78.25

78.20

78.15

78.10

78.06

78. 01

77.96

0.66

0.89

1.11

Difference

of elevation.

40.45

40. 49

40.52

40.55

40.59

40.62

40.66

40.69

40.72

40.76

40.79

40. 82

40.86

40.89

40.92

40. 96

40.99

41. 02

41 . 06

41. 09

41.12

41. 16

41.19

41.22

41.26

41.29

41. 32

41. 35

41. 39

41.42

41. 45

0.35

0.46

o: 58
OA.NOTSTT.] GEOGRAPHIC TABLES AND FORMULAS. 293

TABLE 27. Horizontal, distances and dew.itl.onn from stadia readings Continued.

Minutes.

0

2

4

6

8

10 .

1.2-

14

16

18

20

22

24

26

28

30

32

34

36

38

40

. 42

44

46

48

50

52

54

56

58

60

c=0. 75

c=1.00

c=1.25

28°.

Horizontal distances.

77.96

77.91

77.86

77. 81

77. 77

77.72

77.67

77.62

77.57

77.52

77.48

77.42

77.38

77.33

' 77. 28

77.23

77.18

77. 13

77.09

77.04

'76.99

76.94

76.89

76.84

76. 79'

76.74

76; 69

76.64

76.59

76.55

76.50

0.66

0.88

1. 10 .

Difference

of elevations.

41.45

41. 48

41.52

41.55

41.58

41. 61

41.65

41.68

41. 71

41.74

41.77

41. 8.1

41.84

41. 87

41. 90

41. 93

41. 97

42.00

' 42. 03.

42.06

42.09

42.12

42.15

42.19

42.22

42.25.

42.28

42.31

42.34

42.37

. 42. 40

0.36

0.48

0.60

29°.

Horizontal distances.

76.50

76.45

76.40

76.35

76.30

76. 25

76.20

76. 15

76.10

76.05

, 76. 00

75. 95

75.90

75.85

75.80

75.75

75.70

75.65

75.60

75.55

75.50

75.45

75.40

73.35

75.30

75.25

75.20

75. 15

75. 10

75. 05 .

75.00

0.65

0.87

1.09

Difference

of elevations.

42.40

42.43

42.46

42.49

42.53

42.56

42.59

42.62

42. 65

42.68

42. 71

42.74

42.77

42.80

42. 83

42. 86 '

42.89

42.92

42.95

42.98

43.01

43. 04

43.07

43. 10

43.13

43. 16

43. 18

43. 21

43.24

43. 27

43.30

0.37

0.49

0.62

H0°.

Horizontal distances.

75.00

74.95

74.90

74.85

74.80

74.75

74.70

74.65

74.60

74.55

74. 49

74.44

74.39

74. 34

74.29

74.24

74. 19

74. 14

74.09

 74.04

73.99

73.93

73.88

73.83

73.78

73. 73

73.68

73. 63

73.58

73. 52

73. 47

0.65

0.86

'1.08

Difference

of elevations.

43. 30

43. 33

43. 36

43.39

43.42

43. 45

43.47

43.50

43. 53

43.56

43.59

43.62 

43. 65

43. 67

43. 70

43. 73

43. 76

43. 79

43. 82

43.84

43. 87

43.90

43.93

43. 95

43.98

44.01

' 44.04

44.07

44.09

44.12

44. 1.5

0.38

0.51.

0.64
294 GEOGRAPHIC TABLES AND FORMULAS. [BULL:234. 

TABLE 28. For converting metric into United Stales measures.

LINEAR

Meters. Inches.

1 39. 3700

2 78. 7400

3 118. 1100

4 157.4800

5 196. 8500

6 236. 2200

7 275. 5900

8 314. 9600

9 354. 3300

1

Meters. Feet.

1 3. 280833

' 2 6. 561667

3 9.842500

4 13. 123333

5 16. 404166

6 19. 685000

7 22. 965833

8 26. 246666

9 29. 527500

Meters. Yards.

1 1.093611

2 2. 187222

3 3. 280833

4 4. 374444

5 5. 468056

6 6. 561667

7 7. 655278

8 8. 748889

9 9. 842500

nfeters. Miles "

1 0. 62137

2 1. 24274

3 J. 86411

4 2. 48548

5 3. 10685

6 3. 72822

7 4. 34959

8 4. 97096

9 5. 59233

SQUARE.

S-6 S<iuare 

meters. lnches1 0. 1550

2 0. 3100

3 0. 4650

4 0. 6200

5 0. 7750

6 0.9300

7 1. 0850

8 1. 2400

9 1. 3950

Square Square 

meters. leet. ,

1 10. 764

2 21. 528

3 32. 292

4 43. 055

5 53. 819

6 64. 583

7 75. 347

8 86. Ill

9 96. 875

Square Square 

meters. yards.

1 1.196

2 2. 392

3 3. 588

4 4. 784

5 5.980 '

6 7. 176

7 8. 372

8 . 9. 568

9 10. 764

tares. Acrcs "

1 2. 471

. 2 ' 4.942

3 7. 413

4 9. 884

5 . 12. 355

6 14. 826

7 17. 297

8 19. 768

9 22. 239
GANNETT.J GEOGRAPHIC TABLES AND FORMULAS. 295

TABLE 29. For converting United Stale* measures into metric.

LINEAR.

Inches Milli' .incnes. meters.

1 25. 4001

2 50. 8001

3 76. 2002

4 101. 6002

5 127. 0003

6 152. 4003

7 177.8004

8 203: 2004

9 228. 6005

Feet. Meters.

1 0. 304801

2 0. 609601

3 0. 914402

4 . 1.219202

5 1. 524003

6 .1'. 828804

7 2. 133604

8 2. 438405

9 2. 743205

Yards. Meters.

1 0. 914402

2 :l . 828804

3 2. 743205 '

4 3. 657607

5 4. 572009

6 5.486411

7 6.' 400813

8 7. 315215

9 8. 229616

Miles- . nSrs.

1 1. 60935

2 3. 21869

3 4. 82804

. 4 6.43739

5 8. 04674

6 9. 65608

7 11. 26543

8 '12. 87478

9 14. 48412

SQUARE.

sv» Se 

ilichus- meters.

1 6. 452

 2 12. 903

:-! 19.355

4 . 25. 807

5 32. 258

6 38. 710

7 45. 161

S 51.613

9 58. 065

Square ^ 

lcct- meters. '

,.1 9.290

2 18. 581

3 27. 871

4 37. 161

5 46. 452

6 55. 742

7 65. 032

8 74.323

9 83. 613

Square Square 

yards. meters.

1 0. 836

2 1.672

3 2. 508

4 3. 344

5 4.181

6 5. 017

7 5. 853

8 6. 689

9 7. 525

Afros ACICS- tares. Hcc' 

1 0. 4047

2 0. 8094

3 1.2141

4 1. 6187

5 2. 0234

6 2. 4281

7 2. 8328

8 3. 2375

9 3. 6422
296 GEOGRAPHIC. TABLES AND FORMULAS. [BULL. 234.

TAB MS 30. FOR INTEKCONVEKSION OF MILKS AND LOGARITHMS OF.METERS, FOR DISTANCES FROM 10 TO 100 MILES.

The value adopted for the meter is 39.3700 inches. Distances 

between triangulation stations are given in logarithms of meters, but 

for general use distances in miles are most frequently desired.

The following examples illustrate use of the table:

To find the number of miles corresponding to log. distance in meters ...... 4. 56857

Next lower log. in table is for 23.00 miles ................................ 4. 56838

Difference ...............................

Corresponding to tabular difference for 0.01 mile. 

Hence distance required is 23,01 miles. -

19

For distances less than 10 miles proceed as above; first adding 1 to 

the characteristic of the given logarithm and,afterwards dividing the 

corresponding number of miles by 10. Example:

Having given the log. 3.84062, which is less than any given in 

the table, and therefore for a distance less than 10 miles, adding 

1 to the characteristic of the logarithm gives 4.84062, which corresponds to a distance of 43.05 miles. Hence the distance sought is

43.05 -4.305 miles.

To change (Add.) 

Log. of miles to log. of metera..................................... 3. 2066498

Log. of yards to log. of meters .................................... 9. 9611371

Log. of feet to log. of meters ...................................... 9.4840158

Log. of inches to log. of meters.................................... 8. 4048346

Log. of meters to log. of milesl.................................... 6. 7933502

Log. of meters to log. of yards ..................................... 0. 0388629

Log. of meters to log. of feet ...................................... 0. 5159842

Log. of meters to log. of inches..................................... 1. 5951654

TABLE 30. For interconuersion of miles and logarithms of meters. 

[Prepared by'S. S. Gannett.]

Miles.

JO. 00

.05

.10

' .15

.20

.25

.30

. 35

.40

.45

Log. meters.

 4. 20665

4. 20882

4. 21097

4. 21312

4. 21525

4. 21737

4. 21949

4. 22159

4. 22368

4. 22577

Diff . log. 

.01 mile.

43

42

41

Miles.

10.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 22784

4. 22990

4. 23196

4. 23400

4. 23603

4. 23806

4. 24007

4. 24208

4. 24408

4. 24606 '

Diff. log. 

.01 mile.

41'

40

Miles.

11.00

.05

.10

. . 15

.20

 .25

.30

. 35

.40

.45

Log. meters.

4. 24804

4. 25001

- 4.25197

4. 25393

4. 25587

4. 25780

4. 25973

4. 26165

4. 26355

4. 26545

Diff. log. 

.01 mile.

39

38
GANNETT.] GEOGKAPHIC TABLES AND FOEMULAS. 297

TA in/15 30. For wtr,rcnnver#j<M of miles and logarithm.* of mp.tr.rx Continued.

Miles.

11.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

12.00

.05

.10

.15

: 20

.25

.30

.35

.40

.45

.50

 .55

.60

.65

.70

.75

.80

' .85

.90

.95

13. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

. 95

Log. meters.

4. 26735

4. 26923

4. 27111

4. 27298

4. 27484

4. 27669

4. 27853

4. 28037

4. 28220

' 4. 28402

4. 28583

4. 28764

4. 28944

4. 29123

4. 29301

4. 29479

4. 29656

4. 29832

4. 30007

4. 30182

4. 30356

4. 30529

4. 30702

4. 30874

4. 31.046

4. 31216

4. 31386

4. 31555

4. 31724

4. 31892

4. 32059

4. 32226

4. 32392

4. 32558

4. 32722

4. 32887

4. 33050

4. 33213

4. 33375

4. 33537

4. 33698

4. 33859

4. 34019

4. 34178

4. 34337

4. 34495

4.34653

4. 34810

4. 34966

4. 351 22

DifV.log. 

.01. mile.

38

37

36

35

34

33

32

31.

'Miles.

14. OO'

.05

.1.0

.15

.20

.25

.30

.35 -.40-

.45

:5o

.55

.60

.65

.70

.75

.80

.85

.90

.95

15. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

-.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

16. 00

.05

.10

. .15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 35278

4. 35433

4. 35587

4. 35741

4. 35894

4. 36047

4. 36199

4. 36350

4. 36501

4. 36652

4. 36802

4. 36951

4.37100

4. 37249

4. 37397

4. 37544

4.37691

4. 37838

4. 37984

4.38129

4. 38274

4,39419

4. 38563

4. 38706

4. 38849

4. 38992

4. 391.34

4. 39276

4. 39417

4. 39558

4. 39698

4.39838

4. 39977

4. 401 16

4.40255

4. 40393

4. 40531

4. 40668

4. 40805

'4. 40941

4. 41077

4.41213

4. 41348

4. 41482

4. 41616

4. 41750

4. 41884

4. 42017

4. 421.49

4.42282

Dill', log. 

.01. mile.

31 _

30

29

28

27

.

26

Miles.

1.6. 50

.55

.60

.65

.70

:75

.80

..85

.90

.95

17. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

18.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

..75

.80

.85

.90

.95

Log. meters.

4. 42413

4. 42545

4. 42676

4. 42806

4. 42937

4. 43067

4. 43196

. 4. 43325

4.43454

4. 43582

' 4. 43710

4. 43837

4. 43964

4. 44091

4. 44218

4. 44344

4. 44470

4. 44595

4. 44720

4. 44845

4. 44969

4. 45093

4. 45216

4. 45339

4. 45462.

4. 45585

4. 45707

4. 45829

4. 45950

4. 46071

4. 46192

4. 46313

4. 46433

4. 46553

4. 46672

4. 46791.

4. 46910

4. 47029

4. 47147

4. 47265

4. 47382

4. 47499

4. 47616

4. 47733

4. 47849

4. 47965

4. 48081

4. 48196

4. 48311

4. 48426

Dili. log. 

.01 mile.

26

25

24

23
298 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 30. For interconversion of miles and logarithms of meters Continued.

Miles.

19. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

20.00

.05

.10

.15

.20

.25

' .30

.35

.40

.45

Log. meters.

4. 48540

4. 48654

4. 48768

4. 48882

4. 48995

4. 49108

4. 49221

4. 49333

4. 49445

4. 49557

4. 49669

4. 49780

4. 49891

4,50001

4. 50112

4. 50222

4. 50332

4. 50441

4. 50550

4. 50659

4/50768

4. 50876

4. 50985

4. 51093

4.51200

4.51308

4. 51415

4. 51521

4. 51628

4. 51734

.50 ' 4.51840

.55

.60

.65

.70

.75

.80

.85

.90

.95-

21.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

4. 51946

4. 52052

4. 52157

4. 52262

4. 52367

4. 52471

4. 52576

4. 52680

4. 52783

4. 52887

4.52990

4. 53093

4. 53196

4. 53299

4. 53401

4. 53503

4. 53605

4. 53706.

4. 53808

Diff. log. 

.01 mile.

23 '

22

21

20

 Miles.

.-21. 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

: 22. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

. .70

.75

.80

.85

.90

.95

23. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

-.90

.95

Log. meters.

4. 53909

4. 54010

4. 54110

4. 54211

4. 54311

4. 54411

4. 54511

4. 54610

4. 54709

4. 54808

4. 54907

4. 55006

4. 55104

4. 55202

4. 55300

4. 55398

4. 55495

4. 55593

4. 55690

4/55787

4. 55883 .

4. 55980

4. 56076

4. 56172

4. 56268

4. 56363

4. 56459

4. 56554

4. 56649

4. 56743

" 4.56838

4. 56932

4. 57026

4. 57120

4. 57214

4. 57307

4. 57401

4. 57494

4. 57587

4. 57679

4. 57772

4. 57864

4. 57956

4. 58048

4. 58140

4. 58231

4. 58323

4. 58414

4. 58505

4. 58596

Diff. log. 

.01 mile.

20

19

18

Miles.

24.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

25. 00

.05

. .1.0

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

..90

.95

26.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log: meters.

4. 58686

4. 58777

4. 58867

4. 58957

4. 59047

4. 59136

4. 59226

4.59315

4. 59404

4. 59493

4. 59582

4. 59670

4. 59759

4. 59847

4. 59935

4. 60023

4. 60110

4. 60198

4. 60285

4. 60372

4. 60459

4. 60546

4. 60632

4.60719

4. 60805

4. 60801

4. 60977

4. 61063

4. 61148

4. 61234

4. 61319

4. 61404

4. 61489

4. 61574

4. 61.658

4. 61743

4. 61827

4. 61911

4. 61995

4. 62079

4. 62162

4. 62246

4. 62329 '

4. 62412

4. 62495

4. 62578

4.62661

4. 62743

4. 62825

4. 62908

Diff. log. 

.01 mile.

18

17

16
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS. 299 

TAHI-E 30 For 'interconversion of miles and logarithms of meters Continued.

Miles.

26. 50

.55

.60

.65

.70

.75

.80

' .85

.90

.95

27.00

.05

.10

.15

.20

.25

.30

.35

.40

.4.5

.50

.55

.60

.65

.70

.75

.80

.85

.90

. .95

28. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

' .70

'.80 .75

.85

.90

.95

Log. meters.

4. 62990

4. 63071

4. 63153

4. 63235

4. 63316

4. 63397

4. 63479

4. 63559

4. 63640

4. 63721

4. 63801

4. 63882

4. 63962

4. 64042

4. 64122

4. 64202

4. 64281

4. 64361

4. 64440

4. 64519

4. 64598

4. 64677

4. 64756

4. 64835

4. 64913

4. 64991

4. 65069

4. 65147

4. 65225

4. 65303

4. 65381

4. 65458

4. 65536

4. 65613

4. 65690

4. 65767

4. 65844

4. 65920

4. 65997

4. 66073

4. 66149

4. 66226

4. 66302

4. 66377

4. 66453

4. 66529

4. 66604

4. 66680

4. 66755

4. 66830

0 iff. log. 

.01 mile.

16

'

15

Miles.

29.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

° .90

.95

30. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

31. 00

.05

.10

.15

. .20

 .25

.30

.35

.40

.45

Log. meters.

4. 66905

4. 66980

4. 67054

4. 67129

4. 67203

4. 67278

4. 67352

4. 67426

4. 67500

4. 67573

4. 67647

4. 67721

4. 67794

4. 67867

4. 67941

4.68014

4. 68087

4.68159

4. 68232

4. 68305

4. 68377

4. 68449

4. 68522

4. 68594

4. 68666

4. 68737

4. 68809

4. 68881

4. 68952

4. 69024

4. 69095

4. 69166

4. 69237

4. 69308

4. 69379

4. 69449

4. 69520

4. 69590

4. 69661

4. 69731

4. 69801

4. 69871

4. 69941

4. 70011

4. 70081

4. 70150

4. 70219

4. 70289

4. 70358

4. 70427

1) iff. log. 

.01 .mile.

15

14

Mi'les.

31. 50

.55

.60

.65

.70

. 75

.80

.85

.90

.95

32. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

33. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 70496

4. 70565

4. 70634

4. 70702

. 4. 70771

4. 70839

4. 70908

4. 70976

4. 71044

4. 71112

4. 71180

4. 71248

4. 71315

4.71383

4. 71451

4.71518

4. 71585

4. 71652

4. 71719

4. 71787

4. 71.853

4. 71920

4. 71987

4. 72053

4. 72120

4. 72186

4. 72252

4. 72319

4. 72385

4. 72451

4. 72516

4. 72582

4. 72648

4. 72713

4. 72779

4. 72844

4. 72909

' 4.72975

 4.73040

4. 73105

4. 73169

4. 73234

4. 73299

4. 73363

4. 73428

4. 73492

4. 73557

4. 73621

4. 73685

4. 73749

DHL log. 

.01 mile.

1.4

13
300 GEOGRAPHIC TABLES AND FORMULAS. [BULL.284. 

TABLE 30. For interconversion of miles and loaaritlims of meters Continued.

Miles.

34.00

.05

.10

.15

.20

i .25

1 .30

! .35

i .40

I .45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

35. 00

.05

.10

.15

.20

..25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

36. 00

.05

.10

.15

.20

.25

.30

.35 '.40

.45

Log. meters.

4. 73813

4. 73877

4. 73940

4. 74004

4. 74068

4. 74131

4. 74194

4/74258

4. 74321

4. 74384

4.74447

4. 74510

4. 74573

4. 74635

4. 74698

4. 74761

4. 74823

4. 74885

4. 74947

.4. 75010

4. 75072

4.75134

4. 75196

4. 75257

4. 75319

4. 75381

. 4.75443

4. 75504

4. 75565

 4.75627

4. 75688

4. 75749

4. 75810

4. 75871

4. 75932

4. 75993

4. 76053

4. 76114

4. 76174

4. 76235

4. 76295

4. 76355

4. 76416

4. 76476

4. 76536

4. 76596

4. 76656

4.76715

4. 76775

4. 76835

Diff. log. 

.01 mile.

13

12

Miles.

36. 50

. 55

.60

.65

..70

.75

.80 .85'

.90

.95

37. 00

.05

.10

.15

.20

.25

.30

.35

.40

. 45

' . .50

.55

.60

.65

.70

.75

.80

.85

.90

.95

38. 00

..05

.10

.15

.20

. 25

.30

.35

.40

. .45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log-, meters.

4. 76894

4. 76954

4. 77013

4. 77072

4. 77132

4. 77191

4. 77250

4. 77309

4. 77368

4. 77426

4. 77485

4. 77544

4. 77602

4. 77661

4. 777.19

4. 77778

4. 77836

4. 77894

4. 77952

4.78010

4. 78068

4. 78126

4. 78184

4. 78241

4. 78299

4. .78357

4. 78414

4. 78472

4. 78529

4. 78586

4. 78643

4. 78701

4. 78758

4. 78815

4. 78871

4. 78928

4. 78985

4. 79041

4.79098

4. 79155

4. 79211

4. 79267

4. 79324

4. 79380

4. 79436

4. 79592

4. 79548

4. 79604

4. 79660

4. 79716

Diff. log 

.01. mile

12

11

; Miles.-

39. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

40.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85.

.90

.95

41.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 79771

4. 79727

4.79883

4. 79938.

4. 79994

4. 80049

4. 80104

4. 80159

4. 80215

4. 80270

4. 80325

4. 80380

4. 80435

4. 80489

4. 80544

4. 80599

4. 80653

4. 80708

4. 80762

4.80817

4. 80871

4. 80925

4. 80979

4. 81034

4. 81088

4. 81142

4. 81195

4. 81249

4. 81303

4. 81357

4. 81411

4.81464

4. 81518

4. 81571

4. 81624

4. 81677

4. 81731

4. 81784

4. 81837

4. 81890

4. 81943

4. 81996

4.82049

4.82102

4. 82155

4. 82207

4. 82260

4. 82313

4. 82365

4. 82417

Diff. log. 

.01. mile.

11

10
GANNETT.] GEOGKAPHIC TABLES AND FORMULAS. 301 

TABLE 30. For inter conversion of miles and logarithms of meters Continued.

'Miles.

 41. 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

42. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

' .75

.80

.85

' .90

.95

43.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 82470

4. 82522

4. 82574

4.82627

4. 82679

4. 82731

4. 82783

4. 82835

4. 82886

4. 82938

4. 82990

4. 83042

4. 83093

4. 83145

4.83196

4. 83248

4. 83299

4. 83350

4. 83402

4. 83453

4. 83504

4. 83555

4. 83606

4. 83657

4, 83708

4. 83759

4. 83809

4. 83860

4. 83911

4. 83961

4. 84012

4. 84062

4. 84113

4. 84163

4. 84213

4. 84264

- 4. 84314

4. 84364

4.84414

4. 84464

4. 84514

4. 84564

4. 84614

4. 84663

4. 84713

4. 84763

4.84812

4. 84862

4. 84911.

4. 84961

Diff. log. 

.01 mile.

10

Miles.

44.00

.05

.10

.15

.20

 '.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

. .-85

.90

.95

45. 00

.05

.10

.15

.20

.25

.30

.35

.40 -.45

.50

.55

-.60

.65

.70

.75

.80

.85

.90

.95

46.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 85010

4. 85060

4. 851.09

4.85158'

4. 85207

4. 85256

4. 85305

4. 85354

4. 85403

4. 85452

4. 85501

4.85550

4. 85599

4. 85647

4. 85696

4. 85744

4. 85793

4. 85841

4. 85890

4. 85938

4. 85986

4. 86035

4. 86083

4. 86131

4. 86179

4. 86227

4. 86275

4. 86323

4. 86371

4. 86418

4. 86466

4. 865.14

4. 86561

4. 86609

4. 86657

4. 86704

4. 86751

4. 86799

4. 86846

4. 86894

4.86941

4. 86988

4. 87035

4. 87082

4. 87129

4. 87176

4. 87223

4. 87270

4. 87317

4. 87364

DifF. tog. 

.01 mile.

10

9

Miles.

46.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

47.00

.05

. 1.0

, . 15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

48.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

,50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 87410

4. 87457

4. 87504

4. 87550

4. 87597

4. 87643

4. 87690

4. 87736

4. 87782

4. 87829

4. 87875

4. 87921

4. 87967

4. 88013

4. 88059

4. 88105

4. 88151

4. 881.97

4. 88243

4. 88289

4. 88334

4. 88380

4. 88326

4. 88471

4. 88517

4. 88562

4. 88608

4. 88653

4. 88699

4.88744

4. 88789

4. 88834

4. 88879

4. 88925

4. 88970

4.89015

4. 89060

4. 89105

 4.89149

4. 89194

4. 89239

 4; 89284

4. 89329

4. 89373

4. 89418

4. 89462

4. 89507

4. 89551

4. 89596

4. 89640

Diff. log. 

.01 mile.

9
302 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 30. For inter conversion of miles and logarithms of meters Continued.

Miles.

49.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95.

50. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

:95

51.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 89685

4. 89729

4. 89773

4. 89817

4. 89861

4. 89906

4. 89950

4. 89994

4. 90038

4. 90082

4. 90125

4. 90169

4. 90213

4. 90257

4. 90301

4. 90344

4. 90388

4. 90431

4. 90475

4. 90519

4. 90562

4. 90605

4. 90649

° 4.90692

4. 90735

4. 90779

4. 90822

4. 90865

4. 90908

4. 90951

4. 90994

4. 91037

4. 91080

4. 91123

4. 91166

4. 91209

4. 91251

4. 91294

4. 91337

4. 91379

4. 91422

4. 91465

4. 91507.

4. 91550

4. 91592

4. 91634

4. 91677

4. 91719

4. 91761

4.91803

DiS.log. 

.01 mile.

9

8

Miles.

51. 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

52.00

.05

. 10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80-

.85

.90

.95

53.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 91846

4. 91888

4. 91930

4. 91972

4. 92014

4. 92056

4. 92098

4. 92140

4. 92182

4. 92224

4. 92265

4. 92307

4. 92349

4. 92390

4. 92432

4. 92474

4. 92515

4. 92557

4. 92598

4. 92639

4. 92681

4. 92722

4. 92764

. 4. 92805

4. 92846

4. 92887

4. 92928

4. 92969

4. 93011

4. 93052

4. 93093

4. 93133

4. 93175

. 4. 93215

4. 93256

4. 93297

4. 93338

4. 93378

4. 93419

4. 93460

4. 93500

4. 93541

4. 93581

4. 93622

4. 93662

4. 93703

4. 93743

4. 93784

4. 93824

4. 93864

Diff.log. 

.01 mile.

8

Miles.-

54.00

.05

.10.

.15

.20

;25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

55. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.,70

.75

.80

.85

.90

.95

56.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 93904

4. 93945

4. 93985

4. 94025

4. 94065

4. 94105

4. 94145

4. 94185

4. 94225

4. 94265

4. 94305

4. 94345

4. 94384

4. 94424

' 4. 94464

4. 94503

4. 94543

4. 94583

4. 94622

4. 94662

4. 94701

4. 94741

4. 94780

4. 94820

4. 94859

4. 94898

4.94937'

4. 94977

4. 95016

4. 95055

4. 95094

4. 95133

4. 95172

4. 95212

4. 95251

4. 95289

4. 95328

4. 95367

4.95406

4. 95445

4. 95484

4. 95523

4. 95561

4. 95600

4. 95639

4. 95677

4. 95716

4. 95754

4. 95793

4. 95831

Diff. log. 

.01 mile.

8
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 303 

TABLE 30. For inter conversion of miles and logarithms of meters Continued.

Miles.

56.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

57.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

58.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

4. 95870

4. 95908

4. 95947

4. 95985

4. 96023

4. 96062

4. 96100

4. 96138

4. 96176

4. 96214

4. 96253

4. 96291

4. 96329

4.96367

4. 96405

4. 96443

4. 96481

4. 96518

4. 96556

4.96594

4. 96632

4. 96669

4. 96707

4. 96745

4. 96783

4. 96820

4. 96858

4. 96895

4. 96933

4. 96970

4. 97008

4. 97045

 4. 97083

4. 97120

4. 97157

4. 97195

4. 97232

4. 97269

4. 97306

4. 97343

4. 97381

4. 97418

4. 97455

4. 97492

4. 97529

4. 97566

4. 97603

4. 97640

4. 97677

4. 97713

Diff. log. 

.01 mile.

8

7

Miles.

59.00

.05

.10

.15

.20

. .25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

. 95

60.00

.05

.10

. 15

.20

.25

.30

.35

.40

' .45

-.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

61.00

.05

.10

.15

.20

.25

' .30

.35

.40

.45

Log. meters.

4. 97750

4. 97787

4. 97824

4. 97861

4. 97897

4. 97934

4. 97971

4. 98007

4. 98044

4. 98080

4. 981.1 .7

4. 98153

4.98190

4. 98226

4. 98262

4. 98299

4. 98335

4. 98371

4. 98408

4. 98444

4. 98480

4. 98516

4. 98552

4. 98589

4. 98625

4. 98661

4. 98697

4. 98733

4. 98769

4. 98805

4. 98841

4. 98876

4. 98912

4. 98948

4. 98984

4. 99020

4. 99055

4. 99091

4. 99127

4. 99162

4. 99198

4. 99234

4/99269

4. 99305

4. 99340

4. 99376

4. 9941.1

4. 99447

4. 99482

' 4.99517

Diff. log. 

.01 mile.

7

Miles.

61. 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

62. 00

.05

.1.0

. 1.5

.20

.25

.30

.«5

.40

.45

.50

.55

.60

.65

.70

>75

.80

.85

.90

.95

63. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80 .85'

.90

.95

Log. meters.

4. 99553

4. 99588

4. 99623

4. 99658

4. 99693

4. 99729

4. 99764

4. 99799

4. 99834

4. 99869

4. 99904

4. 99939

4. 99974

5. 00009

5. 00044

5. 00079

5. 001.14

5.00149

5. 00183

5. 0021.8

5. 00253

5. 00288

5. 00322

5. 00357

5. 00392

5. 00426

5. 00461

5. 00495

5. 00530

5. 00565

5. 00599

5. 00633

5. 00668

5. 00702

5. 00737

5. 00771

5. 00805

5. 00840

5. 00874

5. 00908

5. 00942

5. 00977

5. 0101.1

5.01045

5. 01.079

5. 01.113

5. 01.1.47

5. 011.81

5. 01.215

5. 01249

Diff. log. 

.01 mile.

7
304 GEOGEAPHIO TABLES AND FORMULAS. [BULL.234. 

TABLE 30. For interconversion of miles and logarithms of meters Continued.

Miles.

64.00

.05

.10

.15.

.20

.25

.30 -.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

65.00

.05

.1.0

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

 .75'

.80

' .85

.90

.95

66.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

5. 01283

5. 01317

5. 01351

5. 01385

5. 01419

5. 01452

5. 01486

5. 01520

5. 01554

5.01587

5.01621

5. 01655

5. 01688

5. 01722

5. 01755

5. 01789

5. 01823

5. 01856

5. 01889

5. 01923

5. 01956

5. 01990

5. 02023

5. 02056

5. 02090

5. 02123

5. 02156

5. 02190

5. 02223

5. 02256

5. 02289

5. 02322

5. 02355

5. 02389

5. 02421

5. 02455

5. 02488

5. 02521

5. 02554

5. 02587

5. 02619

5.02652

5. 02685

5.02718

.5.02751

5. 02784

5. 02816

5. 02849

5. 02882

5. 02915

Diff. log. 

.01 mile.

7

Miles.

66.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

67.00

' .05

.10

..15 .'20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

68.00

.05

.10

.15

.20

.25

.30

.35,

.40

.45

.50

.55

.60

.65

.70

'.75

.80

.85

.90

.95

Log. meters.

5. 02947

5: 02980

5. 03012

5. 03045

5. 03078

5. 03110

5.03143

5. 03175

5. 03208

5. 03241

5. 03273

5. 03305

5. 03337

. 5. 03370

' 5.03402

5. 03434

5. 03467

5. 03499

5'. 03531

5. 03563

5. 03595

5. 03627

5. 03660

5. 03692

5. 03724

5. 03756

5. 03788

5. 03820

5. 03852

5. 03884

5.03916

5. 03948

5. 03980

5. 04012

5. 04043

5. 04075

5. 04107

5. 04139

5. 04171

.. 5. 04202

5. 04234

5. 04266

5. 04297

5. 04329

5. 04361

5. 04392

5. 04424

5. 04455

5. 04487

5. 04518

Diff. log. 

.01 mile.

7'

6

. Miles.

69. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

..60

.65

.70

.75

.80

.85

.90

.95

70. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

:70

.75

.80

.85

.90

.95

71. 00

 .05

.10

.15

.20

.25

. 30

.35

.40

.45

Log, meters.

5. 04550

5. 04581

5. 04613

5. 04644

5. 04676

5. 04707

5. 04738

5. 04770

5. 04801

5. 04832

5. 04863

5. 04895

5. 04926

5. 04957

5. 04988

5.05019

5. 05051

5. 05082

5.0511.3

5. 05144

5. 05.1.75

5. 05206

5. 05237

5.05268

5. 05299

5. 05330

5. 05361

5. 05391

5. 05422

' 5.054.53

 5. 05484

5. 05515

5. 05545

5. 05576

5. 05607

5. 05538

5. 05668

5. 05699

5. 05730

5. 05760

5. 05791

5. 05821 .

5. 05852

5. 05883

5. 05913

5. 05943

5. 05974

5. 06004

5. 06035

5. 06065

Diff. log. 

.01 mile.

6
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 305 

TABLE 30. 7'br iidercu'iiveraioii q/'iiiilex and loyuriUtnta of'iitdei'H Continued.

Miles.

71. .'55 50

.60

.65

.70

.75

.80

.85

.90

.95

72.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

73.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

5. 06096

5. 06126

5. 06156

5. 06187

5. 06217

5. 06247

5. 06277

5.06308

5. 06338

5. 06368

5. 06398

5. 06428

5. 06459 '

5. 06489

5. 06519

5. 06549

5. 06579

5. 06609

5. 06639

5. 06669

5. 06699

5. 06729

5. 06759

5. 06789

5. 06818

5. 06848

5. 06878

5. 06908

5. 06938

5. 06967

5. 06997

5. 07027

5. 07057

5. 07086

5. 07116

5. 07146

5. 07175

5. 07205

5. 07235

5. 07264

5. 07294

5. 07323

5. 07353

5. 07382

5. 07412

5. 07441

5. 07471

5. 07500

5. 07529

5. 07559

Diff.l'og. 

.01 mile.

6

Mi lea.

74.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

75.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

' .65

.70

.75

.80

.85

.90

.95

76.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

5. 07588

5.07617

5. 07647

5. 07676

5. 07705

5.07735

5. 07764

5. 07793

5. 07822

5. 07851

5. 07881

5. 07910

5. 07939

5. 07968

5. 07997

5. 08026

5. 08055

5. 08084

5.08113

5. 08142

5. 08171

5. 08200

5. 08229

5. 08258

5. 08287

5. 08316

5. 08345

5. 08373

5. 08402

5. 08431

5. 08460

5.08488

5. 08517

5. 08546

5. 08575

5. 08603

5. 08632

5. 08661

5. 08689

5. 08718

5. 08746

5. 08775

5.. 08803

5. 08832

5. 08861

5: 08889

5 08917:

5. 08946

5. 08974

5. 09003

Diflf. log. 

.01 mile.

6

Miles.

76.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

77.00

.05

.10

.15

.20

.25

.30

.35

.40

. 45

.50

.55

..60

.65

.70

.75

.80

.85

.90

.95

78.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log1 , meters.

5. 09031

5. 09059

5. 09088

5. 09117

5. 09145

5. 09173

5. 09201

5. 09229

5. 09258

5. 09286

5. 09314

5. 09342

5. 09370

5. 09399

5. 09427

5. 09455

5. 09483

5. 09511.

5. 09539

5. 09567

5. 09595

5. 09623

5. 09651

5. 09679

5. 09707

5. 09735

5. 09763

5. 09791

5. 09819

5. 09847

5. 09875

5. 09902

5. 09930

5. 09958

 5.09986

5.-10013

5. 10041

5. 10069

5. 10097

5. 10124

5.10152

5.10180

5. 10207

5. 10235

5. 10263

5. 10290

'"5.10318

5. 10345

5.10373

5. 10400

Did. IOR. 

.01 mile.

6

Bull. 234 04-
306 GEOGRAPHIC TABLES AND FORMULAS. [BULL.234. 

TABLE 30. For inter conversion of miles and logarithms of meters Continued.

Miles.

79.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

 80.00

.05

.10

.15

..20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

81.00

.05

.10

. 15

.20

.25

.30

.35

.40

- .45

Log. mqters.

5.10428

5. 10455

5. 10483

5. 10510

5. 10537

5. 10565

5. 10592

5. 10620

5. 10647

5. 10674

5. 10702

5. 10729

5.10756

5. 10784

5. 10811

5. 10838

5. 10865

5. 10893

5. 10920

5. 10947

5. 10974

5.11001

5.11028

5. 11055

5.11082

5. 11109

5. 11137

5.11164

5.11191

5.11218

5. 11245

5.11272

5. 1.1.299

5. 11325

5.11352

5.41379

5.11406

5. 11433

5. 11460

5. 11.487

5.11513

5. 11540

5.11567

5. 11594

5. 11621

5. 11647

5. 11674

5. 11701

5. 11727

5. 11754

Diff. log. 

.01 mile.

5

Miles.

81.50

.55

.60

.65

.70

. 75

.80

.85

.90

.95

82.00

.05

.1.0

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65 .70"

.75

.80

.85

.90

.95

83.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

. .85

.90

.95

Log. meters.

5. 11781

5. 11807

5. 1.1.834

5. 11861

5. 11887

5. 11913

5. 1.1.940

5. 11967

5. 11993

5. 12020

5. 1.2046

5.12073

5. 12099

5. 12126

5. 12152

5. 12179

5. 12205

5.12231

5. 1.2258

5.12284

5. 12310

5. 12337

5. 12363

5. 12389

5. 12416

5. 12442

5.12468

5. 12494

5. 12521

5. 12547

5. 12573

5. 12599

5.12625

5. 12651

5. 12677

5. 12703

5. 12729

5.12756

5. 12782

5. 12808

5. 12834

5. 12860

5. 12886

5.12912

5. 12937

5. 12963

5. 1 2989

5. 13015

5. 13041

5. 13067

Diff. log. 

.01 mile.

5

Miles.

84.00

.05

.10

.1.5

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

85.00

.05

.10

.1.5

.20

.25

.30

.35

.40

.45

.50

.55.

.60

.65

.70

.75

.80

.85

.90 .95'

86. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

5. 13093

5. 13119

5. 13145

5. 13170

5. 13196

5.13222

5. 13248

5. 13273

5. 13299

5. 13325

5. 13351

5. 13376

5. 13402

5. 13428

5. 13453

5. 13479

5. 13505

5. 13530

5. 13556

5. 13581

5. 13607

5. 13632

5. 13658

5. 13683

5.13709

5. 13734

5. 13760

5. 13785

5.13811

5. 13836

 5. 13862

5. 13887

5. 13912

5. 13938

5. 13963

5. 13988

5. 14014

. 5. 14039

5. 14064

5. 14090

5. 14115

5. 14140

5. 14165

5. 14191

5. 14216

5. 14241

- 5.14266

5.14291

5. 14316

5. 14341

Diff. log. 

.01 mile.

5
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 307 

TABLE 30. .For iiderconoerxhm. of miles aii,d logarithms of meters Continued.

Miles.

86.50

.55

-.60

.65

.70

.75

.80

.85

.90

. 95

87. 00

.05

.10

. 15

.20

.25

.30

.35

.40

.45

.50

.55

..60

.65

.70

.75

.80

.85

.90

.95

88. 00

.05

.10

.15

.20

.25 '

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

5. 14367

5. 14392

5. 14417

5. 14442

5. 14467

5. 14.492

5. 14517

"5.14542

5. 14567

 5.14592

5. 1.4617

5.14642

5. 14667

5. 1.4692

5. 14717

5. 14741

5. 14766

5. 14791

5. 1.4816

5. 14841

5. 14866

5. 14891

5. 14915

5. 14940

5. 14965

5. 14990

5. 15014

5. 15039

5. 15064

5. 15089

5. 1.5113

5. 1.5138

5. 1.5163

5.15187

5. 1.5212

5. 15237

5. 15261

5. 15286'

5. 15310

5. 1.5335

5. 15359

5. 15384

5. 15408

5. 15433

5. 15457

5.15482

5. 15506

5. 15531

5. 15555

5.15580

Diflf. log. 

.01 mile.

5

Miles.

89. 00

.05

.10

.15

 .20

.25

.30

.35

.40

.45

' .50

.55

.60

.65

.70

.75

.80

.85

.90

.95

90. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

. 75

.80

.85

.90

.95

-91. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. motel's.

5. 15604

5. 15628

5.15653

5.15677

5. 15701

5. 15726

5. 15750

5. 15775

5. 15799

5. 15823

5. 15847

5. 15872

5. 15896

5. 15920

5. 15944

5. 15968

5. 15993

5. 16017

5. 16041

5. 16065

5. 16089

5. 16113

5. 16137

5. 16162

5. 16186

5. 16210

5. 16234

5. 16258

5. 16282

5. 16306

5. 16330

5. 16354

5. 16378

5. 16402

5. 16426

5. 16450

5. 16474

5.16497

5. 16521

5. 16545

5.16569

5. 16593

5. 16617

5.16641

5. 16665

5. 1 6688

5.16712

5.16736

5.16760

5.16783

DilT. log. 

.01 mile.

5.

.

Miles.

91.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

92. 00

.05

.10

.15

.20

.25

.30

.35

.40 .

.45

.50

.55

.60

.65

.70

 .75

.80

.85 .90-

.95

93. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

5. 16807

5. 16831

5. 16855

5. 16878

5. 16902

5. 16926

5. 16949

5. 16973

5. 16997

5. 17020

5. 17044

5. 17067

5. 17091

5. 17115

5. 17138

5. 17162

5. 1 7285

5. 17209

5. 17232

5. 17256

5. 17279

5. 17303

5. 17326

5.17349 

5.17373

5. 17396

5. 17420

5. 17443

5. 17467

5.17490

5. 17513

5. 17537

5. 17560

5.17583

5. 17607

5. 1 7630

5. 17653

5.17676

5. 17700

5. 17723

5. 17746

5. 1 7769

5. 17793

5.17816

5. 17839

5. 17862

5.17885

5. 1 7908

5. 17932

5. 17955

Did. log. 

.01 mile.

5
308 GEOGRAPHIC TABLES AND FORMULAS. [BULL.23-1. 

TABLE 30. For inf.erconversion of miles and logarithms of meters Continued.

Miles.

94.00

, - . 05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70.

.75

.80

.85,

.90

.95

95.00

.05

.10

.15

' .20

v .25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

5. 17978

5. 18001

5. 18024

5. 18047

5. 18170

5. 18193

5. 18116

5. 18139

5. 18162

5. 18185

5. 18208

5. 18231

5. 18254

5. 18277

5. 18300

5. 18323

5. 18346

5. 18369

5. 18392

5. 18415

5. 18437

5. 18460

5. 18483

5. 18506

5. 18529

5. 18551

5. 18574

5. 18597

5. 18620

5. 18643 -

5. 18665

5. 18688

5. 18711

5. 18733

' 5.18756

5. 18779

5. 18802

5. 18824

5. 18847

5. 18869

DifT.log. 

.01 mile.

5

Miles. '

96. 00

.05

.10

.15

.20

.25

.30

.35

.4.0

.45

.50

.55

.60

.65

.70

.75

.SO

.85

.90

.95

97. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45.

..50

.55

.60

.65

' .70

.75

.80

.85

.90

.95

Log. meters.

5. 18892

5. 18915

5. 18937

5. 18960

5. 18983

5. 19005

5. 19028

5. 19050

5. 19073

5. 19095

5. 19118

5. 19140

5. 19163

5. 19185

5. 19208

5. 19230

5. 19253

5. 19275

5. 19297

5. 19320

5. 19342

5. 19365 <

5. 19387

5. 19409

5. 19432

5. 19454

5. 19476

5. 19499

5. 19521

5. 19543

5. 19565

5. 19588

5. 19610

5. 19632

5. 19655

5. 19677

5. 19699

5. 19721

5. 19743

5. 19765

Diff. log. 

.0.1 mile.

5

4.

Miles.

98. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

. .60

.65

.70

.75

.80

.85

.90

.95

99. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

. 75

.80

.85

.90

.95

Log. meters.

5.19788

5. 19810

5. 19832

5. 19854

5. 19876

5. 19898

5. 19920

5. 19942

5. 19965

5. 19987

5. 20009

5. 20031

5. 20053

5. 20075

5. 20097

5. 20119

5. 20141

5. 20163

5. 20185

5. 20207

5. 20229

5. 20250

5. 20272

5. 20294

5. 20316

5. 20338

5. 20360

. 5. 20382

5. 20404

5. 20425

5. 20447

5. 20469

5. 20491

5. 20513

5. 20535

5. 20556

5. 20578

5. 20600

5. 20621

5. 20643

Diff. log. 

.01 mile.

4

CONVENIENT EQUIVALENTS.

1 acre =209 feet square, nearly.

1 acre = 43,560 square feet = 4,840 square yards.

1 statute mile = 1,760 yards = 5,280 feet = 63,360 inches.

1 cubic foot = 7.4.8 gallons = 0.804 bushel.

1 cubic foot of water weighs 62.4 pounds.

1 wine gallon = 8.34 pounds water.

1 wine gallon = 231 cubic inches.

1 avoirdupois pound = 7,000 grains.

1 troy pound = 5,760 grains.
OANNKTT.] GEOGRAPHIC TABLES AND FORMULAS. 309

1 meter = 39.37 inches. Log. 1.5951654.

1 meter = 3.28083 feet. Log. 0.5159842.

1 meter = 1.093611 yards. Log. 0.0388629.

1 meter = 0.00062137 mile. Log. 6.7933502.

1 kilometer = 3,281 feet = five-eighths mile, nearly.

1 cubic meter = 35.314 cubic feet = 1.308 yards.

1 liter = 1.0567 quarts.

1 gram = 15.43 grains.

1 kilogram = 2.2046 avoirdupois pounds.

1 touneau (metric ton) = 2,204.6 pounds.

1 cubic meter per minute = 0.5886 second-foot.

1 second-foot = 50 California miner's inches.

1 second-foot = 40 Arizona miner's inches.

1 second-foot = 449 gallons per minute.

1 second-foot for one day = 1.9835 acre-feet.

1 second-foot for one day = 646,272 United States gallons.

1 second-foot = about one acre-inch per hour.

1 acre-foot = 325,850 gallons.

1,000,000 gallons = 3.07 acre-feet.

1,000,000 cubic feet'= 22.95 acre-feet.

1,000,000 gallons per 24 hours = 1.55 second-feet.

1 horse power = 550 foot-pounds per second.

1 horse power = 76 kilogram meters per second.

1 horse power = 746 watts.

1 horse power = 1 second-foot water falling 8.8 feet.

1 second-foot falling 10 feet = 1.135 horse power.

1 foot per second = 1.077 kilometers per hour.

1 foot per second = 0.68 miles per hour.

1 inch = 2.54 centimeters.

1 foot = 0.3048 meters.

1 yard = 0.9144 meters.

] mile = 1.60935 kilometers.

1 square yard = 0.836 square meters.

1 acre = 0.4047 hectares.

] square mile = 259 hectares.

1 square mile = 2.59 square kilometers.

1 cubic foot = 0.0283 cubic meters.

1 cubic yard = 0.7646 cubic, meters.

1 gallon =3.7854 liters.

1 pound = 0.4536 kilograms.

r 15 pounds per square inch. 

] atmosphere = about s 1 ton per square foot.

I 1 kilw per square centimeter. 

Acceleration of gravity = 32.10 feet per second. 

To change miles to inches on map:

Scale 1:125000, 1 mile = 0.50688 inches. Log. = 9.7049052.

Scale 1:90000, 1 mile = 0.70400 inches. Log. = 9.8475727.

Scale 1:62500, 1 mile = 1.01376 inches. Log. = 0.0059352.

Scale 1:45000, 1 mile = 1.40800 inches. Log. = 0.1486027. 

To change log. of meters to log. of inches on map:

Scale 1:125000 add 6.4982552.

Scale 1:90000 add 6.6409228.

Scale 1:62500 add 6.7992853.

Scale 1:45000 add 6.9419528. .
310 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 23-1.

'CONSTANTS.

Log. 

Basis of natural logarithms................e = 2. 7182818285 0. 4342944819

Modulus of Briggs's logarithms ........... m = 0. 4342944819 9. 6377843113-10

Badius of the circle in seconds............. r = 206264. 8062 5. 3144251332

Radius of the circle in minutes ........... .r = 3437. 74677 3. 5362738828

Eadius of the circle in degrees.............r = 57. 2957795 1. 7581226324

Circumference of the circle in seconds ......... . 1296000 6.1126050015 '

Circumference of the circle in minutes......... 21600 4. 3344537512

Circumference of the circle in degrees ......... 360 2. 5563025008

Circumference of the circle for the diameter. = 1 0.0000000000

= 3.1415926536 0.4971498727

ASTRONOMICAL CONSTANTS ( ifARKNJESS) .

Sidereal year = 365.256 357 8 mean solar days. 

Sidereal day = 23" 56"' 4.100 mean solar time. 

Meaii solar day = 24' 1 3'" 56. S 546 sidereal time. 

Mean distance of the earth from the sun = 92 800 000 miles.

PHYSICAL CONSTANTS.

Velocity of light (Harkness) = 186 337 miles per second = 299 878 km. per second. 

Velocity of sound through dry. air = 1090 v^l+0.00367 1° C. feet per second.

LINEAR EXPANSIONS OF PRINCIPAL METALS IN MICRONS 

PER METRE (OR MlJjJjIONTHS PER UNIT [LENGTH).

Name of metal.

Expansion

per 

degree C.

Expansion peldegree F.

Aluminum........................................ 20

Brass.............................................. 19

Copper........................................... 17

Glass............................................. 9

Gold....... ..................................... 15

Iron, cast. ......................................... 11

Iron, wrought..................................... 12

Lead ............................................. 28

Nickel-steel....................................... 0

Platinum ......................................... 9

Platinuin-iridium ................................. 8. 7

Silver ............................................. 19

Steel, hard.......................................... 12

Steel, soft......................................... 11

Tin .............................................. 19

Zinc.............................................. 29

11.1

10.5

9.4

5.0

8.3

6,1

6.7

15.5

0.0

5.0

4.8

10.5

6.7

6.1

10.5

16.1
INDEX.

Page.

Altitude, differences of, table for obtaining............................ 209-284

Arc into time, table for conversion of...... 108

Astronomical constants..................... 310

Azimuths of Polaris nt any hour angle, explanation of .................... 24-27

at any hour angle, table of............. 22-23

at elongation, table of.................. 21

Center, reduction to, example of........... 11

reduction to, Hgure and formula for.... 10

reduction to, graphic................... 12

Circulnr functions expressed In urc and

time, five-place logarithm tableof. 145-189 

Constants, table of......................... 310

Culminations of Polaris, table giving times

of............................... 18

examples for computing times of....... 20

Curvature and refraction, table of corrections for........................ 208

Elongations of I'olaris, table of azimuth

at............................... 21

table of times of........................ 18

Equivalents, convenient, table of........ 308-809

Expansion, linenr, of metals ............... 310

Feet to decimals of a mile, table for conversion of.......................... 112

Feet to meters, table for conversion of..... 203

Geodetic position computations, formulas

and constants for............... 190

inverse solution, example of........... 205

logarithms of factors A, B, C, D, E, F,

latitude 0°-72°................ 190-205

Hour angle of Polaris ...................... 10

Kilometers to statute miles, table for conversion of ...................... 203

Logarithms of circular functions expressed 

in arc and time, five-place table 

of............................. 145-1R9

of natural numbers, live-place table

of............................. 123-1.44

Longitude corrections, difference in arc

and sine, table of............... 204

M, Logarithm of, for use In computing

spherial excels................. 200

Menu time into sidereal time, table lor conversion of .................... 110-111

Meridian, method of fixing ................ 10-17

Metals, linciir expansion of................ 310

Meters, logarithms of, and miles, table for

interconversion of............ 290-308

.Meters to feet, table for conversion of...... 203

Metric Into United States measures, table

for converting................ 294-295

Mile, decimals of, into feet, table for conversion of ...................... 112

Miles and logarithms of meters, table for

intcrconverslon of ........... 3%-30S

o

Page. 

Number, fractional change in.corrresponcling to a change in Its logarithm. 123 

Numbers, natural, five-place logarithm

table of:...................... 123-144

Culminations of Polaris, examples for computing times of................. 20

Physical constants.......................... 310

Polaris, apparent altitude and azimuth of,

at different hour angles ........ 28-30

aspects of, figure showing .............. 10

azimuths of, atany houranglc, explanation of table..................... 24-27

at any hour angle, table of......... 22-23

at elongation, table of.....J........ 21

culminations of, examples for computing times of..................... 20

culminations and elongations of, table

of times......................... 18

hour angle of, definition................ 10

Projection of maps of large areas, table of.. 37-48 

Projection of maps, scale 1:12,000, table of

coordinates..................... 85-93

scale 1:45,000, table of coordinates..... 77-84

scale 1:02,600, table of coordinates..... 71-7G

settle 1: 03,800, table of coordinates ..... 59-70

scale 1:125,000, table of coordinates.... 49-58

Quadrilaterals 10' extent in latitude and

longitude, areas of... ........ 103-107

15' extent in latitude and longitude,

areas of........................ 90-102

30' extent in latitude and longitude,

areus of......................... 94-90

Reduction to center, example of........... 11

llgure and formula for.................. 10

graphic, explanation of................ 12

infraction, mean, table of................. 207

Spherical excess, approximate, method of

obtaining...................... 12,207

Spherical excess, log. m. fur use In computing ............................. 2%

Stadia readings, horixontnl distances and

elevations, tnblc of........... 285-293

Statute miles to kilometers, table for conversion of ...................... 263

Three-point problem, computation of...... 14

graphic solution of..................... 15

Time to arc, table for conversion of........ 109

Time, local, method of obtaining.......... 25

Time, mean, table for conversion of, Into

sidereal....................... 110-111

Triangles, solution of, two sides and Included angle given............. 12

right-angled, rules for solution of...... 9

United States measures to metric, table for

conversion of................. 294-295

Wheel revolutions to hundredths of a mile,

table for conversion of....... 113-122

311

PUBLICATIONS OF UNITED STATES GEOLOGICAL SURVEY.

[Bulletin No. 234.]

The publications of the United States Geological Survey consist of (1) Annual 

Reports, (2) Monographs, (3) Professional Papers, (4) Bulletins, (5) Mineral 

Resources, (6) Water-Supply and Irrigation Papers, (7) Topographic Atlas of 

United States folios and separate sheets thereof, (8) Geologic Atlas.of United 

States follbs thereof. The classes numbered 2, 7, and 8 are sold at cost of publication; the others are distributed free. A circular giving complete lists may be 

had on application.

The Professional Papers, Bulletins, and Water-Supply Papers treat of a variety 

of stibjects, and the total number issued is large. They have therefore been classified into the following series: A, Economic geology; B, Descriptive geology; C, 

Systematic geology and paleontology; D, Petrography and mineralogy; E, Chemistry and physics; F, Geography;G, Miscellaneous; H, Forestry; I, Irrigation; J, 

Water storage; K, Pumping water; L, Quality of water; M, General hydrographic 

investigations; N, Water power; 0, Underground waters; P, Hydrographic 

progress reports. This bulletin is the forty-second in Series F, the complete list 

of which follows (all are bulletins thus far):

SERIES F, GEOGRAPHY.

5. Dictionary of altitudes in United States, by Henry Gannett. 1884.. 325 pp. (Out of stock; 

see Bulletin 100.)

6. Elevations in Dominion of Canada, by J. W. Spencer. 1884. 43pp. (Out of stock.) 

13. Boundaries of United States and of the several States and Territories, with historical sketch 

of territorial changes, by Henry Gannett. 1885. -135pp. (Out of stock; see Bulletin 171.)

48. On form and position of sea level, by R. S. Woodward. 1888. 88 pp. (Out of stock.)

49. Latitudes and longitudes of certain points in Missouri, Kansas, and New Mexico, by R. S. 

Woodward. 1889. 133pp.

50. Formulas and tables to facilitate the construction and use of maps, by R. S. Woodward.

1889. 124pp. (Out of stock.)

70. Report on astronomical work of 1889 and 1890, by R. S. Woodward. 1890. 7!) pp. 

72. Altitudes between Lake Superior and Rocky Mountains, by Warren Uphani. 1891. 23!) pp. 

K. Dictionary of altitudes in United States (second edition), by Henry Gannett. '1801. 393 pp.

(Out of stock; see Bulletin 160.)

115. Geographic dictionary of Rhode Island, by Henry Gannett. 18«4. 31 pp.

116. Geographic dictionary of Massachusetts, by Henry Gannett. 1894. 12(> pp.

117. Geographic dictionary of Connecticut, by Henry Gannett. 1894. 67 pp.

118. Geographic dictionary of New Jersey, by Henry Gannett. 1894. 131 pp.

122. Results of primr.ry triaugulation, by Henry Gannett. 1894. 412pp., 17 pis. (Out of stock.)

123. Dictionary of geographic positions, by Henry Gannett. 1895. 183 pp., 1 map. (Ontof stock.)

154. Gazetteer of Kansas, by Henry Gannett. 1898. 246 pp.,6 pis.

160. Dictionary of altitudes in United States (third edition), by Henry Gannett. 1899. 775 pp.

(Out of stock.) ' . 

160. Gazetteer of Utah, by Henry Gannett. 1900. 43pp., 1 map.

169. Altitudes in Alaska, by Henry Gannett. 1900. 13 pp.

170. Survey of Ixmudary line between Idaho and Montana from international boundary to crest 

of Bitterroot Mountains, by R. U. Goode. 1900. 07 pp., 14 pis.

171. Boundaries of United States and of the several States and Territories, with outline of 

history of all important changes of territory (second edition), by Henry Gannett. 1900. 

142pp., 53 pis. (Out of stock.)

174. Survey of northwestern boundary of United States, 1857-1861, by Marcus Baker. 1900. 

78 pp., 1 pi.

175. Triangulation and spirit leveling in Indian Territory, by C. H. Fitch. 1900. 1.41. pp., 1 pi. 

181. Results of primary triangulation and primary traverse, fiscal year 1900-1901, by H. M.

Wilson, J. H. Reiishawe, E. M. Douglas, and R. U. Goode. 1901. 240 pp., 1 map. 

183. Gazetteer of Porto Rico, by Henry Gannett. 1901. 51pp.
II .PUBLICATIONS U. S. GEOLOGICAL SURVEY.

185. Results of spirit leveling, fiscal year .1900-1 901, by H. M. Wilson, .T. H. Renshawe, E. M. Douglas,

and E. U. Goocle. 1901. 219 pp.

187. Geographic dictionary of Alaska, by Marcus Baker. 1901. 443 pp. (Out of stock.) 

190. Gazetteer of Texas, by Henry Gannett. 1902. 162 pp., 8 pis.. (Out of stock.) 

1C2. Gazetteer of Cuba, by Henry Gannett. 1902. 113pp., 8 pis. (Out of stock.) 

194. Northwest boundary of Texas, by Marcus Baker. 1902. 51 pp., 1 pi.

186. Topographic development of the Klamath Mountains, by J. S. Diller. 1902. C9 pp., 13 pis. 

197. The origin of certain place names in the United States, by Henry Gannett. 1902. 280 pp.

(Out of stock.) 

201. Results of primary triangulation and primary traverse, fiscal year 1901-.?, by H. M. Wilson,

J. H. Reiishawe, E. M. Douglas, and R. U. Goode. 1902. 16i pp., 1 pi. 

214. Geographic tables and formulas, compiled by S. S. Gannett. 1903. 284 pi>. 

21G. Results of primary triangulation and primary traverse, fiscal year 1902-3, by S. S. Gannett.

1903. 222pp., 1 pi.

224. Gazetteer of Texas (second edition), by Henry Gannett. 1904. 177. pp., 7 pis. 

220. Boiindaries of tho United States and of the several States and Territories, with an outline

of the history of all important changes of territory (third edition), by Henry Gannett.

1901. 145 pp.,54 pis.

230.' Gazetteer of Delaware, by Henry Gannett. 1904. 15 pp.

231. Gazetteer of Maryland, by Henry Gannett. 1904. 84 pp.

232. Gazetteer of Virginia, by Henry Gannett. 1904. 159pp.

233. Gazetteer of West Virginia, by Henry Gannett. 1904. 164 pp.

234. Geographic tables and formulas (second edition), compiled by S. S. Gannett. 1904. 311 pp.

Correspondence should be addressed to

The DIRECTOR,

UNITED STATES GEOLOGICAL SURVEY,

WASHINGTON, D. C. 

AUGUST, 1904.
LIBRARY CATALOGUE SLIPS.

[Mount each slip upon a separate card, placing the subject at the top of the 

second slip. The name of the series should not be repeated on the series 

card, but the additional numbers should be added, as received, to the first 

entry.]

Gannett, Samuel S[tinson].

. . . Geographic tables and formulas. 2d ed. Com1 piled by Samuel S. Gannett. Washington, Gov't Print. 

** off., 1904.

'311, III p. illus. 234°'". (U. S. Geological survey. Bulletin no. 234.) 

Subject series .F, Geography 42.

Gannett, Samuel S[tinstm].

. . . Geographic tables and formulas. 2cled. Com- 

| piled by Samuel S. Gannett. Washington, Gov't print. 

* off.,.1904.

311, III p. illus. 23ijcl ". (TJ. S. Geological survey. .Bulletin no. 234.) 

Subject series F, Geography 42.

U. S. Geological survey.

Bulletins.

.| no. 234. Gannett, S. S. Geographic tables and formulas. 2d ed. 1904.

^ U.S. Dept. of the Interior.

a 1

s see also

« U. S. Geological survey.