Bulletin No. 214 Series P, Geography, 84

DEPARTMENT OF THE INTERIOR

t'NITED STATES GEOLOGICAL SUKVEY

CHAULKK I). WALCOTT, DlKKCTOR

GEOGRAPHIC

TABLES AND FORMULAS

COMPILKI) BY

HAMTIKL «. CiAMNKTT

GOVERNMENT PRINTIN(J OFFICE 

1903

Bulletin No. 214 Series F, Geography, 34 

DEPARTMENT OF THE INTERIOR .

UNITED STATES GEOLOGICAL SURVEY

CHARLES D. WALCOTT, DIRECTOR

GEOGRAPHIC

TABLES AND FORMULAS

COMPILED BY

y SAMUEL S. G-ANNETT

WASHINGTON

GOVERNMENT PRINTING OFFICE

1903

CONTENTS.

rage.

Letter of transmittal...................................................... 7

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

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

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

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

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

Graphic three-point problem.............................................. 15

Tables................................................................... 16

1. Polaris; times of culmination and elongation ........................ 16

2. Polaris; azimuth at elongation .................................... 18

3. Polaris; azimuths and altitudes at different hour angles ............. 19

4. Projections for large areas...................... .............. ...... 29

5. Projections; scale xW<ny<r> latitudes 0° to 80°........................ 41

6. Projections; scale u^-J-^, latitudes 0° to 80° ........................ 51

7. Projections; scale 7^7, latitudes 25° to 50°........................ 63

8. Projections; scale rs^ft latitudea 26° to 50°........................ 69

9. Areas of quadrilaterals; 30' extent, latitudes 0° to 90° ................ 77

.10. Areas of quadrilaterals; 15' extent, latitudes 0° to 90° ,............. 80

11. Areas of quadrilaterals; 10' extent, latitudes 0° to 90° .............. 86

12. For conversion of arc into time .................................... 91

13. For conversion of time into arc.................................... 92

14. For conversion of mean time into sidereal time ..................... 93

15. For conversion of sidereal time into mean time ..................... 94

16. For interconveraion of feet and decimals of a mile.................... 95

17. For conversion of wheel revolutions into decimals of a mile.......... 96

18. Five-place logarithms of natural numbers .......................'... 97

19. Five-place logarithms of circular functions expressed in arc and time. 119

20. Geodetic position computations.................................... 164

21. Log. m, for use in computing spherical excess ...................... 240

22. Mean refraction .................................................. 241

23. Corrections for curvature and refraction ............................ 242

 24. For obtaining differences of altitude .... .c.......................... 243

25. Horizontal distances and elevations from stadia readings ............ 259

2(i. For converting metric into United States measures....-.-....'....... 268

27. For converting United States measures into metric.................. 269

28. For interconversion of miles and logarithms of meters .............. 270

Convenient equivalents................................................... 282

Constants................................................................ 284

Linear expansion of metals................................................. 284

3

ILLUSTRATIONS.

Page.

1. Solution of right-angle triangles .................................... 9

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

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

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

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

5

LETTER OF TRANSMITTAL.

DEPARTMENT OF THE INTERIOR, 

UNITED STATES GEOLOGICAL .SURVEY,

Washington,!). 0. , April 81, 1903.

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

certain geographic tables and formulas pertaining to the work of the 

topographic branch of this Survey. 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 Survey and the remaining portions having been taken 

principally from publications of the U. S. Coast and Geodetic Survey 

and the Smithsonian Institution.

The compiling was done by Mr. S. S. Gannett, and the material .was 

revised by Mr. E. M. Douglas and Mr. H. L. Baldwin, jr. 

Very respectfully,

R. U. GOODE,

Chairman Topographic Committee. 

Hon. CHARLES D. WALCOTT,

Director United States Geological Survey.

GEOGRAPHIC TABLES AND FORMULAS.

Compiled by S. S. GANNETT.

iES FOB SOLUTION OF RIGHT-ANGLED TRIANGLES.

The '' parts " of the figures are 

H=hypothenuse, 

P=perpendicular, 

B=base, 

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

Secant

Cosecant

\/Tangent \

Sine

Cotangent

Cosine

/

/

V

FIG. 1. Solution of right-angled triangles.

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

reciprocal of the other.

Example: Tang a x cot or = 1, tang a - .

RULE II. Each part = adjacent part divided by the following part, 

.'. each part the product of the adjacent parts.

cos of. T^ Example: Sine a = . sine of -^, B = H X cos a.

COt OL Jj.
10 GEOGRAPHIC TABLES AtfD FORMULAS. [BULL. 214.

REDUCTION TO CENTER.

In fig. 2 let

P=place of instrument;

0=center of station;

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

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

7'=distance GP;

C' = unknown and required angle at C;

D=distance AC;

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

G=distance BC; and

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

sin B=

As the angles at A and B are very small, they may be regarded as 

equal to A sin 1" and B sin 1"; hence

and

B=(in seconds) nr sm y,, G sin 1"

sn r 8in

Dsinl" Gsinl"'
GANNETT.] REDUCTION TO CENTER. 11

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

signs of sin (Q+yy) 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.

r 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 = r.

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

to the stations observed. The latter may be computed from the 

uncorrected 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) 4. 79845 

r=6.5 feet: log =0. 81291

log constant for this station 5. 61136

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

Angle Q-V 

(CPA) 23° 40'

9. 6036

5. 3954.

5.6114

0. 6104

4. 08"

Angle

(BPC) 37°14' 

or 322° 40"

9. 7818

5. 3162

5. 6114

0. 7094

5. 12"
12 ' ' GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

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" 

(nearly),

length of perpendicular in feet X 40 ,. , 

 - - * i j -. = 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 0<i'

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

_2.6 feet 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 TRIANGLES.

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

FIG. 3. Solution of triangles.

Let x be an auxiliary angle; then

tan ^ ~i or log tan os=\og a log 1);

tan i (A-B) = tan (cc-45°) tan \ (A+B); 

(A-B) = A;

-i (A-B) = B; 

from which remaining parts can be Computed.
GANNETT.]

Example:

SOLUTION OF TRIANGLES.

Given log «=4.3006779 C!iveil C (spherical angle) 21° 14' 54". 10 

Given log &=4.2050498 Givenisph.exe. -.10

13

(1) tan :c=0.1616281 

z=55° 25' 25. -11"

-45

(5) Log tail (:c-45°)=10° 25' 25". 41=9.2647291 

(C) Log tan ' 70 22 33 .00=0.7268100

C (plane imglo)= 21 14 54 .00 (2) 

180

180°-C=A+B=158 45' Of. .00 (3) 

£ (A+B)= 79° 22' 33". 00 (4)

(7) 9.9915391=tan £ (A-B) 44 26 30 .1)0

(10)

sum=A=123° 49' 03". 90 (8) 

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

Check.

A=123° 

B= 34 

C= 21

Sum =180

49' 03" 

56 02 

14 54

00 00

90 a. c. 

10 

00

.00

log a =4. 

log sin A=0. 

log sin B=9. 

log sin 0=9.

log 

log

c 

b

=4

=4

3666779 

0804971 

7578749 

5592012

0063762 

2050499

THREE-POINT PROBJjEM.

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 the other 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 side 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 contingency which rarely 

occurs.
GEOGRAPHIC TABLES AND FORMULAS. 

Example for each of the three cases.

[BULL. 214.

Given the side a=11204.5' 

Given the side 6= 7289.0 

Given the side c= 6273.8 

Given the angle A=111° 10' 54"

Angle observed A P C=P/ 

Angle observed A P B=P//

A B P=a;

A C P =y

FIG. 4. Three-point problem; computation.

P'... 50° 06' 12"

P" .. 43° 50' 38"

S.... 180°-£(A+P'+P") 

S.... 77° 26' 08"

P'....... 49° 47' 20"

P"...... 44° 09' S0'<

S........ i(A-P'-P

S........ 8° 37' 02"

tanZ= c sin P'

P'... 104° 00' 00"

P".. 100° 20' 00"

S.... 180° i(A+P'+F')

S.... 22° 14' 33"

~b sili P" 2V " y; tan £=cot (Z+45°) tan S

x=S -f- £ ;'/ = S e, but if tan e be negative, then a; = S s, y = S + e

lOgc........... 3.7975307.

log sin P'....... 9.8849100

co. log 6'....... 6.1373320

log co. sinP".. 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 s....... 9.0304783

e.... 6° 07' 21".7

S.... 77° 26' 08".0

a-.'... 83° 33' 29".7 

y.... 71° 18' 46".3 

Hence,

P AB..... 52° 35' 52".3 

PAG.-... 58° 35X 01".7

Computation.

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

log sin Pxr ..... 9.8829061

co. log b ....... 6.1373320

log co. sinP".. 0.1569894

log tan Z ...... 9.9747583

Z... 43° 20X 09".2

log cot (Z+45°) 8. 4631818

log tan S....... 9.1805366

log tan £....... 7.6437184

e..... 0° 15' 08".l 

S..... 8° 37' 02".0

a;..... 8° 52' 10". 1 

y..... 8° 21' 53".9 

Hence,

P A B .... 126° 58' 19".9 

P AO.... 121° 50' 46". 1

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

log sin P'.'..... 9.9869041

co. log 6 ....... 6.1373320

log co. sinP".. 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

«... 1° 54' 50".04 

S... 22° 14' 33".00

a;... 24° 09' 23".00 

y... 20° 19' 43".00 

Hence,

P AB.... 55° 30' 37".00 

P AC.... 55° 40' 17".00
GANNETT.] THREE-POINT PROBLEM.

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.

PB....'......... 7194.87

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

PC............. 8107. 98

PA............. 8999.89

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

PA............. 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 valr.e for 

the line PA.

GRAPHIC THREE-POINT PROBLEM.

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

other points, the location is uncertain.

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

points, point sought is within the triangle of error.

3. When new point is without the triangle, 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.

FIG. 6. Three-point problem; graphic solution;
16 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLES.

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

Polaris in the year 1902.

[From Magnetic Declination Tables, TJ. S. Coast and Oioodetic Survey. Computed Tor latitude 40° 

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

Date.

1902 

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

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

February .1. ...........

February 15 ..........

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

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

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

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

May 1 ................

May 15 ...............

June 1 ................

June 15.... ...........

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

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

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

East elongation.

h m

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.

h in

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 4.6. 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 refer the above tabular quantities to years subsequent to. 190%:

For year 1903 add 1. 4 minutes.

1904

|add 2.8 

{subtract 1.1 

0.2 

1.5 

2.9 

|4.2 

10.3 

1.7 

3.0

1905 add

1906 "

1907 "

1908 "

1909 "

1910 "

up to March 1

on and after March 1

up to March 1

on and after March 1
GANNETT.] CULMINATION AND ELONGATION OF POLAK1S. 17

13.. To refer to any calendar day other than the first and fifteenth of 

each month, SUBTRACT the quantities below from the tabulcw quantity for

the PRECEDING DATE.

Day of month. .

2 or 16

3 17

4 18

5 19

6 20

7 21.

8 22

9 23

10 24

11 25

12 26

13 27

14 28

29

30

31

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 

days 

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 west of the standard meridian, and SUBTRACT 

when the place is east of £he standard meridian.

(*) The astronomical day begins 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 the 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 Jower culminations on October 12. The lower culmination either follows or precedes the upper culmination by llh 58m .l.

D. To refer to any other than the tabular latitude between the limits 

of 85° 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 0"MS for every degree north of 40°. Reverse these operations 

for correcting times of east elongation.

Bull. 214 03 2
18 GEOGKAPHIC TABLES AND FOKMULAS. [BULL. 214.

E. To refer to any other than the tabular longitude: ADD 0"M6 for 

each 15° east of the ninetieth meridian, and SUBTRACT 0'".16 for each 

.15° west of the ninetieth meridian.

TABLE 2. Azimuth of Polaris when at elongation for any year between 1902 and 1910.

Latitude.

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

1902. 0

o /

1 20.5

21.1

21.9

22.6

23.4

2-1.2

25.1

26.0

27.0

 28.0

29.0

30.1

31.3

32.6

.33.9

35.2

36.7

 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

25.6

26.6

27.6

28.7

29, 8

30.9

32. 2

33.5

"34.8

36.2

37.7

39. 3

41. 0

42.7

44.6

46.5

48.6

50. 7"

1 53. 0

1904. 0

O 1

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

3-1.4

35.8

37.3

38.9

40. 5

42: 3

44. 2

46.0

48.1

50.2

1 52.5

1905. 0

o /

1 19. 4

20. 1

20.8

21. 6

22. 4

23. 1

24.0

24.9

25. 9

26.9

27.9

29.0

30.1

31.4

32.7

. 34. 0

35.4

36.9

38.5.

40.1

. 41. 8

43.7

45.6

47.7

49.8

1 52.0

1906. 0

o /

1 19.1

19.8

20.5

21.3

22.1

22. 8

23.6

24.5

25. 5

26.5

27. 5.

28.6

29.7

31.0

32.3

33.6

35.0

36.5

38.1

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

26.1

27.1

28. 2

29.3

30.6

31.8

33.2

34.6

36.0

37.6

39.2

40.9

42.7

44.6

46.7

48.8

1 51.0

1908. 0

0 /

1 18.4

19.1

19.8

20.5

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

26. 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

IS. 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

30.6

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 fo:, 

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

tabular values the folio wing 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 

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

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

Correction.

/ 

-0.4

-0.3

0.2

0.0

+0.2

+0.3

For middle of 

Julv ...................

Correction.

/ 

+0.3

+0.1

-0.1

-0.3

-0.6

-0.8
GANNETT.] AZIMUTH AND ALTITUDE OF FOLAKIS. 19

TABLE 3. A/IMUTH AND AWAKKNT ALTITUDE OF POLAKIS 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 day 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 20'" 30s AV. of Greenwich.

h. in. s.

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

Reduction to local time 20 30

Local mean time 8 32 10

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

Sidereal time mean noon, Greenwich, July 10,1895 7 J2 38

Correction for longitude, 5h 20"' 303 (Table III, Amer. Ephem.) -|- 0' 53

Local sidereal time ' 15 47 05

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

Hour auglfe before upper culmination 9 33 13

a The tables were computed with the following formulas:

_ _ _s' n_' __ 

a ~ cos <p tan S sin 9 cos t' 

sin h = sin g> sin 8 + cos g> cos S cos I, 

cos 6

cos <0=cot 8 tan 9;

where a = azimuth from true north, 

t = hour angle, 

<p = latitude, 

8 = declination, 

h = true altitude, 

<ia = 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 

be applied with reversed sign while the declination is less than 88° 46', as it will be until near the

close of the century.
20 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

Declination of table

Apparent declination, July 10,1895

Increase in declination

Values from tables (interpolated) azimuth 0 

Correction for 1/-2 increase in declination

46

44 47

- 1 13= 1'-2

o /

54 12, apparent altitude 35 21.8 

+52 -1.0

0 55 04 

East of north

35 20.8

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 14, United States Coast and Geodetic Survey/' whe're 

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 between 1889 and 1910. 

The mean places of Polaris are given as follows:

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

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

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

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

a

h. m. s. 

1 20 30.08

1 22 33.76

1 24 42.48

1 26 56.58

S

0 1 II

88 44 '52.68

88 46 26.66

88 48 00.31

88 49 33.61

22 GEOGRAPHIC TABLES ATSTD FORMULAS. [BULL.214. 

TABLE 3. 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° 40'.

Latitude 30°.

o / //

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. a.

5 57 09

Latitude 31°.

O ' //

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°.

0 / //

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

It 11) S

5 56 55

Latitude 33°.

O / 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. K.

5 56 48

Latitude 34°.

c / n

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

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 03 46 1 04 34

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. a.

5 56 40

1 08 36

1 12 20

1 15 45

f

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

/>,. in. s.

5 56 33
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

of Polaris at different hour anyles.

23

Azimuth of Polaris computed for declination 88° 46'.

Latitude 36°.

O 1 II

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

/),. m. s.

5 56 25

Latitude 37°.

0 / H

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 1.7 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. m. s.

5 56 17

Latitude 38°.

0 / //

0 06 15

0 12 28

0 18 38

0 24 43

0 30 41

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. m. s.

5 56 09

Latitude 39°.

0 / //

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 / //

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 1.5 48

1 1.1 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

ft. m. 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

8.

+ 2

Latitude 40°.

//

- 5

-10

-1.6

-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.

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

30 15

10 30

10 45

11 00

11 15

11 30

11 45 .
24 GEOGRAPHIC TABLES AND FOKMULAS. [BUM, 214. 

TABLE 3. Azimuth and apparent altitude

1

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

v 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°.

o / //

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

T29 52

1 32 00

I 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°.

O 1 II

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

h. m. s.

5 55 43

Latitude 42°.

0 / H

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

I 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 / //

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

Latitude 44°.

0 / //

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 / //

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

I 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.] GEOGRAPHIC TABLES AND FORMULAS.

of Polaris at different hour angles Continued.

25

Azimuth of Polaris computed for declination 88° 40'.

Latitude 46°.

O 1 II

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. m. 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

t 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 1.9

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. in. 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 1.1

1 36 55

1 40 14

1 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 li

0 47 53

0 41 25

0 34 46

0 27 59

0 21 05

0 14 06

0 07 04

1 50 36

/).. in. s.

5 54 31

Latitude 49°.

O 1 It

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 1.4

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

/(,. m. s.

5 54 20

Latitude 50°.

O 1 II

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

II. TO. H.

5 54 07

Correction for 1' increase in declination of Polaris.

Latitude 40°.

/<

-T 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. 4- 5

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 t 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

1.1 45
26 GEOGBAPHIC TABLES AND FOBMULAS. [BULL.2H. 

TABLE 3. Azimuth and apparent altitude

Hour angle before 

or after upper 

culmination.

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 60°.

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

ft. TO. 8.

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 00 11

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

A. 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 1.7 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

ft. in. s. 5 53 27

Latitude 54°.

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

ft. Ml. 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. in. s. 5 52 57
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

of Polarix al, different hour fingles Continued.

27

Azimuth of Polaris computed for declination 88° 46'.

n

Latitude

56°. .

Oil!

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. in. s.

5 52 41

Latitude 57°.

o / n

0 09 12

0 1.8 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. in. s.

5 52 24

Latitude 58°.

O ' /'

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 1.9 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 1.9 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

/(,. in. 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

] 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. in. s.

5 51 47

Latitude CO0.

o / //

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 1.9 .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

/;.. in. s.

5 51 27

Correction for 1' increase in declination of Polaris.

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

Latitude 00°.

- 8

- 17

- 25

- 33

- 41

- 49

- 57

- 64

- 71

- 78

- 84

- 89

- 94

- 99

-104

-108

 111

 114

-1.16

-118

-119

-120

-120

-120

 119

-118

 116

 114

 11.1

-108

 104

-100

- 96

- 91.

- 86

- 80

- 75

- 69

- 63

- 56

- 50

- 43

- 36

- 29

- 22

 14

- 7

-120

s.

+ 7

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

1.0 45

11 00

11 15

11 30

11 45
28 GEOGBAPHIC TABLES AND FOKMULAS. [BULL.214. 

TABLE 3. Azimutli and apparent altitude of Palaris at different hour angles Continued.

Hour

angle

before

or after

upper culmination.

h. m.

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 36°.

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..S

38 51.1

38 49.7

38 48.6

38 47.8

38 47.4

38 47.2

Latitude

45°.

o /

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 /

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.Q

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 60°.

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

forl' 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. 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

11 15

1130

1145

1200
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 29

TABLE 4. For projection of maps of large arena.

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

inches, is that used in the table.]

LENGTHS OF DEGREES OF 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

26.

2728 '

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, 568. 6

110, 570. 3

110, 572. 7

110, 575. 8

110, 579. 5

110, 583. 9

110, 589. 0

1.10, 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

1.1 0, 901. 1

110, 919. 2

110, 937. 6

110, 956. 2

110, 975. 1

110, 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. 912

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

111, 229. 3 '

111, 248. 7

111,268.0

111, 287. 1

111,306.0

.1.11, 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

1.11, 590. 4

111,601.8

111, 612. 7

111, 622. 9

111, 632. 6

111 , 641. 6

111, 650. 0

11.1, 657. 8

1.11, 664. 9

111, 671. 4

1.1.1, 677. 2

1.11, 682. 4

11.1, 686. 9

111,690.7

111, 693. 8

111, 696. 2

1.11, 697. 9

11.1. 699. 0

. Ill, 699. 3

Statute 

miles.

69. 054

69. 066

69. 079

69. 091

69. 103

69. 115

69. 1.27

69. 139

69. 1.51

69. 163

69. 175

69. 186

69. 197

69. 209

69. 220

69. 230

69. 241.

69. 251

69. 261

69. 271

69. 281

69.290

69. 299

69. 3Q8

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

"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'.
GEOGRAPHIC TABLES AND FORMULAS. [.BULL. 214.

TABLE 4. For projection of maps of large area's Continued.

[Extracted from Appendix No. 6, U. S. Coast and Geodetic Survey Report for 1SS<1.]

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

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 '

Meters.

Ill, 321

111,304

111,253

111, 169

111, 051

110, 900

110, 715

110, 497

110,245

109, 959

109, 641

109, 289

108, 904

108, 486

108, 036

107, 553

1.07, 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

Statutemiles.

69. 1.72

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.

0

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, 1 10

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

17,472

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

14.428

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.] GEOGEAPHIO TABLES AND FOEMULAS. 31

TABLE 4. For projection of maps of large areas Continued.

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

ARCS OF THE PARALLEL IN METERS.

Latitude.

0 /

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 1'.

1695. 9

1693.7

1691.5

1.689. 3

1687. 0

1684.8

1682. 5

1680. 3

1678.0

1675. 7

1673. 3

1671.0

1 668. 7

1.666. 3

1663. 9

1661. 5

1.659. 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

1610. 8

1608. 1

1605. 4

1602. 7

1.600. 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

1.563. 4

1.560. 5

Latitude.

o /

33 00

1.0

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

1551.7

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

1493. 2

1490. 0

1486. 8

1483. 6

1480. 3

1477. 1

1473. 8

1470. 5

1467. 2

1463. 9

1460. 6

1457. 3

1453. 9

1450. 6

1447. 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 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

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

1271.6

1267. 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
32 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 4. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 24°.

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

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, 1S8

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

JO 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

3 , 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. 33

TABLE 4. For projections of maps of large areas Continued.

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 27°.

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

20 00

27 00

28 00

29 00

SO 00

X

99, 256

198, 505

297, 742

396,960

496, 154

595, 316

694, 440

793,522

892, 55-1

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

2,172,606

2,270,5:89

 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

81, 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

116,2/5

130, 331

145, 185

160,835

177.280

194,518

212, 550

231, 374

250, 988

271, 391

292, &82

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

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

/

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

1,554,295

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

2,513,074

2,608,075

2,702,890

2,797,511

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

133,311

148,602

164,506

181, 324

198, 963

217, 892

236, 640

256, 695

277,658

299,224

321. 694

344, 964

369, 036

Bull. 214 03 3
34 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 4. 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 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, 654

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, 153

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

572, 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.

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

94,494

188, 980

283, 449

377, 894

472, 307

566, 680

661, 004

755, 272

849, 475

943, 605

1, 037, 655

], 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

1,971,946

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
GANNETT.] GEOGKAPHIC TABLES AND FOKMULAS. 35

TABLE 4. 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

(» 00

7 00

8 00

9 00

10 00

H 00

12 00

13 00

14 00

15 00

1C 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

93, 454

180, 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

1,489,626

1,581,834

1,673,998

1,766,011

1,857,860

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

'.>76, 309

298, 741

322,034

3<I6, 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

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

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, 563, 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

2,554,750

2, 643, 591

2, 732, 175

Y

451

1,803

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.

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 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,

1,544,451

1,634,347 

1,724,070

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

381,698

408, 168
36 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 4. 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

8 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, 259

1, 168, 684

1, 257, 987

1,347,156

1, 436, 184

1,525,061

1, 613, 777

1,702,324

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

335,009

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, 503

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, 059

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 oo'

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, 057

963, 933

1,051,098

1,138,141

1,225,053

1,311,823

1,398,441

1,484,899

1,571,185

1,657,289

1, 743, 202

1, 828, 914

1,914,415

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

38, 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.] GEOGBAPHIC TABLES AND FOEMULAS. 37

TABLE 4. For projections of maps of large areas Continued.

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 39°.

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

10 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, 213

259,889

346, 403

432, 925

519, 396

605, 803

692, 138

778, 388

864, 545

950,598

,1,036,536

1,122,349

1,208,027

1,293,559

1,378,934

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, £02

2,221,854

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 OQ

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, 625

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 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

 84, 136

168, 260

252, 363

336,432

420, 457

504,428

688, 332

672,159

755, 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

69,256

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
38 GEOGBAPHIC TABLES AND FOKMULAS. [BULL. 214.

TABLE 4. 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

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.

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

81,541

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, 903

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 FORMULAS.

TABLE 4. For projections of maps of large areus Continued. 

QOORDINATES OP CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 45°.

Longitude.

o / 

1 00

2 00

3 00

4 00

5 00

G 00

7 00

8 00

9 00

10 00

1.1 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

78,847

157, 682

236, 493

315, 269

393, 996

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, 153

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 /

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

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

48,565

' 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 / 

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

380,034

455, 904

531, 700

607,410

683, 020

758, 520

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

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

150, 587

174,381

193,118

212, 793

233, 405

254,950.

277,425

300, 824 

325, 146

350, 386

376, 539

403, 602

431,669
40 GEOGEAPHIC TABLES AND FOEMULAS. [BULL. 214.

TABLE 4. For projections of maps of large areas Continued. 

COORDINATES OF CURVATURE.

Natural scale. Values of X and Y in meters.

Latitude 48°.

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

}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

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, 87(3

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,-7%,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.

0 1

I 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

398.06S

425, 619
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS

TABLE 5. Coordinates for projection of maps (scale rsi 

[From Smithsonian Geographical Tables.]

41

Latitude of 

parallel.

o / 

0 00 

10 

20 

30 

40 

50

.1 00 

10 

20 

30 

40 

50

2 00 

10 

20 

30 

40 50'

3 00 

10 

20 

30

4S 

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

5.840 

11. 608 

17.412 

23. 216 

29. 020

5.804 

11. 608 

17.412 

23. 216 

29. 020

5.801 

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

5.305 

11.609 

17.414 

23.219 

29. 024

5.805 

11.610 

17. 415 

23.220 

29. 025

Abscissas of developecl 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 

2.915

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. 90.1

. 2. 900 

2. 899 

2. 898 

2. 897 

2. 896 

2.895

2.894

10' longitude.

Indies. 

5.844 

5.843 

5.843 

5.843 

5.843 

5.843

5.843 

5.842 

5.842 

5.841 

6.841 

5.840

5.840 

5.839 

5.839 

5.838 

5.837 

5.836

5. 836 

5.835 

5.834 

5.832 

5. 831 

5.830

5.829 

5.828 

5.827 

5.825 

5.824 

5.823

5. 822 

5.820 

5.818 

5.817 

5.815 

5.813

5. 812 

5.810 

5.808 

 5.806 

5.804 

5. 802

5. 800 

5. 798 

5.796 

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 

8.768 

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. 6«4 

8. 6<10 

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. 668 

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. 596 

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 

14.692 

14. 591

14. 589 

14. 586 

14. 584 

14. 581 

14. 578 

14.576

U. 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. 47 8 

14.473°

14.468

30' longitude.

Inches. 

17. 531 

17. 530 

17. 530 

17. 530 

17. 529 

17.528

17.528 

17. 627 

17.525 

17.524 

17. 522 

17. 521

17. 520 

17.518 

17.510 

17. 513 

17. 511 

17. 509

17. 507 

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 

1.7. 418 

17.413 

17.407.

17.401 

17. 395 

17. 387 

17 381 

17.374 

17.3b8

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

40

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

7°

0.000 

.001 

.002 

.004 

.006 

.009'
42 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 5. Coordinates for projection of maps (scale t^sVffo') Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

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.

o. 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

&.806

11,612 

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 

2.8G7 

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. 821 

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.G87 

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. 006 

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. 539 

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 

30.870

16.856

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 

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°

 Inches. 

0.000 

.001 

.003 

.005 

.008 

.012

11°

0.000 

.002 

.004 

.006 

.010 

.014

lo

0.000 

.002 

.004 

.007 

.012 

.017

15°

0.001 

.002 

.005 

.009 .013' 

.019
GANNETT.J GEOGRAPHIC TABLES AND FORMULAS. 43

TABLE 5. Coordinates for projection of maps (scale Tsvnnnr) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

16 00 

10 

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

2-1 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 

11.619 

17. 429 

23. 239 

.29.049

""'s.'sio'

11.621 

17.431 

23. 242 

29. 052

5.811 

11.622 

17. 433 

23. 244 

29.055

5.812 

11.-G23 

17.435 

23. 247 

29. 058

5. 812 

1.1. 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. 72C 

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. 071

10' longitude.

Inches. 

5.619 

5.614 

5.609 

5.604 5. 599- 

5.595

5.590 

5. 585 

5. 580 

5'. 575 

5.570 

6. 564

5.559 

5.554 

5.549 

5.543 

5.538 

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 

5.355 

5.348

5.341

15' 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 

10. 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'longi 

tude.

Indies. 

14. 046 

14. 034 

14.022 

14.010 

13. 998 

13. 986

13. 974 

13.902 

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'longi 

tude.

Inches. 

16.856 

16.841 

16. 827 

16.813 

16.798 

16. 784

16.769 

16. 754 

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 

16. 391

16. 373 

16. 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 

10. 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 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

fi 

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 

..Oil 

.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 

.010 

.016 

.024

21°.

0.001 

.003 

.006 

.011 

.018 

026

23°

0.001 

.003 

.007 

.012 

.019 

.028
44 GEOGEAPHIC TABLES AND FOEMULAS. [BULL. 214.

TABLE 5. Coordinates for projection of maps (scale r^r 

[From Smithsonian Geographical Tables.]

) Continued.

Latitude of 

parallel.

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 OO

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 

11. 633 

17.449 

23. 265 

29. 082

5.817 

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. 400 

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

\507

2. 5O2 

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 

0. 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 

V.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 

7.54G 

7.533

7.520 

7.507 

7. 494 

7.480 

7.467 

7.454

7.441

20' longitude.

Indies. 

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

9.95C

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. 53-i 

12. 512 

12. 490 

12.467

12.445

12: 423 

12.401

30' longitude.

Inches. 

16.024 

16. 003 

15. 982 

15. 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. 1.18 

15.092 

15. 066

10. 040 

15. 014 

14.987 

14.960 

14.934

14.9O8

14.881

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

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 .035- 

.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.] GEOGBAPHIC TABLES AND FOKMULAS.

TABLE 5. Coordinates for projection of^fnaps (scale TTsinny) Continued. 

[From Smithsonian Geographical Tables.]

45

Latitude of 

parallel.

o / 

32 00 

10 

20 

40" 30 

50

33 00 

10 

20 

30 

40 

50

34 00 

10 

20 

30 

40 

50

35 00 

10 

20 

- 30 

40 

60

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 

5p

40 00

Meridional distances 

from, 

even 

degree 

parallels.

Inches.

5. 821 

11. 642 

17. 402 

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 

17.488 

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 

2.351 

2. 346 

2.341

2.336 

2. 331 

2. 326 

2. 321 

2. 316 

2. 311

2. 305

2. 300 

2. 295 

2. 290 

2.284 

2. 279

2.274 

2. 208 

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 

1 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.

Inches. 

7.441 

7.427 

7. 4] 3 

7.400 

7. 386 

7. 373

7. 359 

7. 345 

7.331 

7.316 

7. 302 

7. 28,S

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.

Inches. 

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 

1.4. 772 

14.745

14. 717 

14. 689 

14. 661 

14. 633 

14. 605 

14.576

14. 549 

14. 520 

14. 491 

14.462 

14. 434 

14. 405

14.376 

14. 347 

14. 318 

.1.4. 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

6 

10 

15 

20 

25 

30

5 

10 

16 

20 

25 

30

5' 

10 

15 

20 

25 

30

32° _

Inches. 

0. 001 

.004 

.009 

.015 

.024 

. 034

34°

0. 001 

.004 

.009 

.016 

.025 

.036

36°

0.001 

.004 

.009 

.013 

.025 

.036

 38°

0.001 

.004 

.009 

.017 

.026 

.037

40°

0.001 

.004 

.009 

.017 

.026 

.038

33°

Inches. 

0.001 

.004 

.009 

.0.16 

.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
46 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 5. Coordinates for projection of maps (scale TsrWtf) Continued.. 

_ [From Smithsouian Geographical Tables.]

Latitude of 

parallel.

o /

40 00 

10 

20 

30 

40 

50

41 00 

10 

20 

30 

40 

50

42 00 

10 

20 

30 

40 

 50

43 03 

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 dis-. 

tances 

from 

even 

degree 

parallels

Inches.

5.829 

11.657 

17. 486 

23. 314 

29. 143

6.830 

11. 659 

17.489 

23. 319 

29. 149

5.83'i 

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;i03 

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' longi 

tude.

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 

3.298 

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 

5.970 

5.951 

5.933 

5. 914 

5.895

5. 876

20' longi 

tude.

Inches. 

8.965 

' 8. 943 

8. 921 

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 

8.534 

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

25' longitude.

Inches. 

11. 207 

11. 179 

11. 152 

11.124 

11. 097 

11. 069

13.042 

31.014 

10. 985 

30. 958 

30. 929 

10. 901

10. 873 

10. 844 

10. 816 

10. 787 

30. 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

30.348 

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' longi 

tude.

Inches. 

13. 448 13.415' 

13. 382 

13. 349 

13.3:6 

13.283

13. 250 

13.237 

13. 183 

13. 149 

13. 115 

13. 081

13.0JS 

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

1.2. 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

Ordin

Longitude 

interval.

5 

30 

15 

20 

25 

30

5 

10 

35 

20 

25 

30

5 

10

15 

20 

25 

30

5 

' 10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

ates of developed 

parallel.

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

4f,°

0.001 

.004 

.010 

.017 

.027 

.038 

47°

0.001 

.004 

.010 

.017 

.027 

.038
GANNETT.] QEOGEAPH1C TABLES AND FORMULAS. 47

TABLE 5. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

 Continued.

Latitude of 

parallel.

p ' 

48 00 

10 

20 

30 

40 

50

49 00 

10 

20 

30 

 10 

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.

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. 350 

29. 191

5.840 

ll.iiSO 

37.520 

23.360 

29. 200

5.841 

11. 682 

17. 523 

23. 364 

29. 204

5.842 

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.

Inches. 

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'longi 

tude.

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' longi 

tude.

Inches. 

5. 876 

5.857 

5.838 

5.819 

5.800 

5.781

5.762 

5.743 

5.723 

5.704 

5.684 

5.665

5.646 

5.626 

5.606 

5.587 

5. 567 

5.547

5.528 

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 

5.122 

5.101 

5.080 

5.060

5.039 

5.018 

4.997 

4.976 

4.955 

4.934

4.913

20' longi 

tude.

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' longi 

tude.

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 

8.671 

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' longi 

tude.

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. 573 

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
48 GEOGRAPHIC TABLES AND FORMULAS. [BULL.2L4.

TABLE 5. Coordinates for projection of maps (scale . Continued.

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O 1

56 00 

10 

20 

30 

40 

50

57 00 

10 

20 

30 

40 

60

58 00 

10 

20 

30 

40 

50

59 CO 

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

5.847 

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

6.850 

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. 534 

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 

5.621 

5.591 

5. 561 

5.531

5.501 

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.^52 

7,616 

 7. 579

7.543 

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

6.530

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 

.033

 63°

0.001 

.003 

.008 

.014 

.022 

.031
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 49

TABLE 5. Coordinates for projection of maps (scale TTsWtf) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

64 00 

10 

20 

30 

40 

50

65 00 

10 

20 

30 

40 

50

66 00 

10 

20 

30 

40 

50

67 '00 

JO 

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 

17.558 

23. 411 

29. 264

5.854 

' 11. 707 

17. 561 

23. 414 

29. 268

5:854 

11. 709 

171563 

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

5.857 

11. 714 

17. 572 

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 l.'L'OO

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' longi 

tude.

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 

2.008 

2.052 

2.037 

2. 021

2.005 

1. 989 

1. 972 

1.956 

3.940 

1.924

1.908 

1. 892 

1.876 

1.860 

1.844 

1.828

1.811

15' longi 

tude.

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' longi 

tude.

Inches. 

5.137 

5.106 

5.076 

5.045 

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' longi 

tude.

Inches. 

6.422 

6.383 

6.345 

6.307 

6.268 

6.230

6.192 

6.153 

6.114 

6.075 

6.037 

5.998

5.959 

5.920 

5.881 

5.842 

5.803 

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 

5. 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' longi 

tude.

Inches. 

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 

6.676 

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 

25 

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

Bull. 214 0;
50 GEOGKAPHIC TABLES AND FOEMULAS. [BULL. 214.

TABLE 5. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

 Continued.

Latitude of 

parallel.

o / 

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

76 00 

10 

20 

30 

40 

50

77 00 

10 

20 

30 

40. 

50

' 7a 00 

10 

20 

30 

40 

60

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.V 295

5.860 

11.719 

17. 578 

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

.659 

.551 

.542 

.534 

.526 

.517

' .509

10' longitude.

Inches. 

1.811 

1.795 

1.779 

1.763 

1.746 

1.730

1.714 

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 

1.335

1.319 

. 1.302 

1. 285 

1.269 

1.252 

1.235

1. 219 

1. 202 

1.185 

1.169 

1.152 

1. 135

1.139 

1.102 

1.085 

1.068 

1. 052 

1.035

1.018

15' 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.] 70 

2.136 

2.103 

2.070

2.036

25' longitude.

Inches. 

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.

Inches. 

5.434 

5.386 

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. 155 

3.104

3.054

Ordinates of developed 

parallel.

Longitude 

inter-, 

val.

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 

. Oil 

.016

73°

Inches. 

0.001 

.002 

.005 

.010 

.015 

.021

75°

0.001 

.002 

.005 

.009 

.013 

.019

77°

0.000 

.002 

.004 

.007 

.012 

.017

79°

0.000 

.002 

.004 

.006 

.010 

.014
GANNETT.] GEOGKRAPHIC TABLES AND FOEMULAS. 51

TABLE 6. Coordinates for projection of maps (scale 

[From Smithsonian 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 

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

Meridional distances 

from 

even 

degree 

parallels.

Inches.

11. 451 

22. 901 

34. 352 

45. 803 

57. 254

68. 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. 706

11. 451 

22. 903 

34. 354 

45. 805 

57. 256

68. 708

11.452 

22. 903 

34. 855 

46. 806 

67. 258

68. 710

11.452 

22. 904 

34. 356 

45. 808 

57. 260

68. 712

Abscissas of developed parallel.

6' longitude.

Inches. 

5.764

5.764 

5.764 

5.764 

5.764 

6.764

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 

5.754 

5.753 

5.752 

5.751

5.750

5.749 

5. 748 

5. 746 

5. 745 

5. 744

5. 743

5. 741 

5. 739 

5.738 

5.736 

5.735

5.733

5. 731 

5.729 

5.727 

5. 726 

5.724

5. 722

10'longi 1 

tude.

Inches. 

11. 529

11.528 

11.528 

11. 528 

11. 5'28 

11. 527

11. 527

1.1. 526 

11. 525 

11.524 

11.524 

11. 623

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.

Inches. 

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. 020

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. 706 

28. 697 

28. 689 

28. 681 

28. 673

28. 665

28. 656 

- 28. 646 

28.637 

28.628 

28.618

28. 609

30' longitude.

Inches. 

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 

:013 

.018
52 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

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

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O '

7 00

10

20

30

40

50

8 00

10

20

30

40

50

9 00

10

20 

30 

40 

60

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

45. 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

6.688 

5.686 

5. 683 

5. 680

- 5. 677

5. 674

5. 671

5.668

5.665

5.662

5.659

5.656 

5.652

6. 649

5.646

5.642

5.639

5.636

5.632

5.628

5.625

5.621

5.618

5.614 

6.610 

5.606

5.602 

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' longi- 

.tude.

Inches.

17. 165

17. 159

17. 152

17. 146

17.139

17. 132

17. 126

17.119

17.111

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

2'2. 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

7°

Inch.

0. 000

.002

005

!013

.018

9°

0.001 

.003 

.006

.010 

.016

.023

11°

0.001

. 003

AA7

. \J\Ji

!020

.028

13°

0.001

.004 

.008 

.015

AOQ

. \J£o

.033

8°

Inch.

0.001

.002

.005

.009 

~ .014

.021

10°

0.001 

.003 

.006

 .011 

.018

.026

12°

0.001

AflO

. VVO

!ow

.021

.031

14°

0. 001-

.004 

.009 

.016

HOC

. U^O

.035
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 53

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

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

O 1

14 00

10 

20 

30 

40 

50

15 00

10 

20 

30 

40 

50

10 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 

50

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

68.74C

11. 459 

22. 917 

34. 37G 

. 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 

67. 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. 957 

.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. 445

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.

Longi.- 

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

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

i
54 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

.TABLE 6. Coordinates for'projection of maps (scale roinr) 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' longitude.

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. 61.8

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' longitude.

Inches. 

16.151

16. 133 

16.115 

16. 097 

16. 078 

16. 060

1C. 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 

15.48C 

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' longitude.

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 

«2. 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

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

21°

Inches. 

0.001 

.006 

.013 

.022 

.035 

.051

23°

0.001 

.006 

.014 

.024 

.038 

1 .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.] GEOGRAPHIC TABLES AND FORMULAS. 55

TABLE 6. Coordinates for projection of maps (scale

[From Smithsoniaii Geographical Tables.]

 Continued.

Latitude of 

parallel.

o / 

28 00

10 

20 

30 

 10 

50

29 00

10 

20 

30 

'10 

50

30 00

10 

20 

30 

40 

50

31 00

10 

20 

30 

40 

50

32 00

10 

20 

30 

40

50

33 00

1.0 

20 

30 

40 

50

34 00

10 

20 

30 

40 

50

35 00

Meridional distances 

from 

even 

degree 

parallels

Inches. 

08. 849

11. 47G 

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. 45C 

45. 942 

57. 427

68.913

11. 487 

22. 975 

34.462 

45. 949 

57. 437

68. 924

Abscissas of developed parallel.

5' longitude.

Inches. 

6.093

. 5.085 

5.077 

5. 069 

5.061 

5. 054

5. 040

5. 037 

5. 029 

5.021 

5.013 

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 

4.806 

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

1.0' 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.

Inches. 

15. 280

15. 256 

15. 232 

15. 208 

15. 185 

15. 16.1

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 

1.4.572 

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 

28. 683

23. 636

30' long! 

tnde.

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. 67-2

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

Ordinates 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
56 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

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

[Prom 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 

60

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 

57. 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' longitude.

Inches. 

9.454

9.435 

9.415 

9.396 

9.377 

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. 457

13. 425 

13. 393 

13. 361 

13. 330 

13.298

13. 2G6

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. 656 

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. 1G3

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 

.018 

.033 

.051 

.074

41°

0.002 

.008 

.019 

.033 

.052 

.075

36°

Indies. 

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.] GEOGRAPHIC TABLES AND FORMULAS.

 Continued.

57

TABLE 6. Coordinates for projection of maps (scale

[Prom Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

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. 516

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 

4.268 

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. Oil

3. 999 

3.987 

3.975 

3. 9(i3 

3. 951

3. 938

3.926 

3. 914 

3.901 

3.889 

3.877

3.864

3.852 

3.839 

3.827 

3.814 

3. 802

3. 789

10' longi 

tude.

Inches. 

8.581

8.558 

8.535 

8.513 

8. 490 

8. 467

8.445

8.422 

8. 399 

8/370 

8. 353 

8.330

8.307

8.283 

8. 260 

8.236 

8.213 

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. 679 

7.653 

7.628 

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 

]2. 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' longi 

tude.

Inches. 

17. 161

17. 116 

17. 071 

17. 025 

16. 980 

16:935

16. 890

16. 844 

16. 798 

16.751 

16.705 

16. 659

16. 613

16. 566 

16.519 

16. 473 

16. 426 

16. 379

16.332

16. 284 

16. 236 

16.188 

16. 141 

16.093

16. 045

15.997 

15. 948 

15. 899 

15. 851 

15. 802

15. 754

15. 704 

15. 655 

15. 606 

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. 767

20. 708 

20. 649 

20. 591 

20. 532 

20. 473

20. 415

20. 355 

20. 295 

20. 236 

20.170 

20.116

20. 056

19. 996 

19. 935 

19. 974 

J9.813 

19. 753

19. 692

19. 630 

19. 569 

19. 607 

19. 445 

19. 383

19. 322

19.259 

19. 196 

19. 134 

19. 071 

19.008

18.945

30' longi 

tude.

Inches. 

25. 742

25. 674 

25. 606 

25. 538 

25. 470 

25. 402

25.334

26. 265 

25. 196 

25.127 

25. 058 

24. 989

24. 920

24. 849 

24. 779 

24. 709 

24. 638 

24. 568

24. 498

24. 426 

24.354 

24. 283 

24.211 

24. 139

24.068

23. 995 

23. 922 

23. 849 

23. 776 

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

Ordinates of developed 

parallel.

Longitude 

interval.

/ 

6 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

5 

10 

15 

20 

25 

30

42°

Inches. 

0.002 

.008 

.019 

.033 

.052 

.075

44°

0. 002 

.008 

.019 

.034 

.052 

.075

1 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
58 GEOGBAPHIC TABLES AND FOEMULAS. [BULL. 214.

TABLE 6. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

 Continued.

Latitude of 

parallel.

0 '

49 00

10 

20 

30 

40 

50

50 00

10 

20 

30 

40 

5C

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.

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 

0.489

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 

10.689 

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.C91 

13. 637

13. 583

'13.528 

13.474 

13.419 

13. 364 

13. 310

13. 255

13.200 

13. 1-45 

13.089 

13. 034 

12. 979

12.924

26' 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. 782

17. 716 

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.] GEOGKAPHIC TABLES AND FORMULAS. 59

TABLE 6. Coordinate* for projection of maps (scale 7-5- 

[From Smithsouian Geograpllical Tables.]

 Continued.

Latitude of 

parallel.

0 /

56 00

10 

20 

30 

40 

50

67 00

10 20- 

30 

40 

50

58 00

10 

20 

30 

40 

50

59 00

10 

20 

30

" 40 

50

CO 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.

Inches. 

69. 176

11. 531 

23. 063 

34. 594 

40. 125 

57. 656

'69.188

11.533 

23. 006 

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

69. 242

11.542 

23. 084 

34. 626 

46. 168 

57. 710

69. 253

Abscissas of developed parallel.

5' longitude.

Inches. 

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 

8. 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

5.953

5.924 

5.895 

5. 866 

5.837 

5.808

5,779

5. 750 

5. 721 

6. 691 

5. 662 

5.633

. 5. 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 

9.667 

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

8.400

8. 361 

8.317 

8. 273 

8. 229 

8. 184

8.140

8. 096 

8.051 

8. 000 

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 

.1.0. 015 

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 

1.5. 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

30' 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 

15 

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 

.005

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
60 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 6. Coordinates for projection of maps (scale ^-yl^r) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

63 00

10 

20 

30 

40 

50

04 00

. 10 

20 

30 

40 

50

G5 00

10 

20 

30 

40 

50

GO 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. 031 

46. 175 

57. 718

69. 262

11.545 

23. 091 

34.63C 

46. 182 

57. 727

69.272

11.547 

23. 094 

34. 041 

46. 188 

57. 735

69. 282

11.548 

23. 097 

34. 640 

46.194

57. 742

69. 291

11. 550 

23.300 

34. 650 

40. 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.

Inches. 

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.G10 

4.579 

4.548

4.518

4.487 

4.455 

4.421 

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 

0.356 

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. 130

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 

8.538 

8.475 

8.412 

8.350

- 8.288

8.225 

8. 102 

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. 750

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. 054 

15. 564 

15.473 

15. 383 

15. 293

15. 203

15. 112 

15.022 

14. 930 

14. 840 

14. 749

14. 058

14. 566 

14. 474 

14.383 

14. 291 

14. 199

14. 107

14. 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 

12.019 

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°

Indies. 

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 

.020 

.041 

.060

60°

0.002 

.000 

.014 

.025 

.039 

.050

68°

0.001 

.006 

.013 

.023 

.036 

.053

. 70°

0.001 

.005 

.012 

.022 

.034 

.049
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 61

TABLE 6. Coordinates for projection of maps (scale

[From Smithsonian Geographical Tables.]

 Continued. '

Latitude of 

parallel.

0 /

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

76 00

1.0- 

20 

30 

40

 50

77 00

Meridional distances 

from 

even 

degree 

parallels

Inches. 

09. 317

11. 554 

23. 109 

34. 603 

46. 217 

57. 772

09. 320

11. 55C 

23. in 

34. 067 

46. 222 

57. 778

69. 334

11.557 

23.114 

34. G70 

46. 227

57. 784

(19. 341

11.558 

23.116 

34.674 

4(1. 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

09. 301

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. 755 

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'longi 

tude.

Inches. 

3. 955

3. 923 

3. 892 

3. 860 

3.828 

3.796

3.765

3.733 

3. 701 

3. 669 

3.637 

3. 005

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 

2.831

2.798

2.765 

2.733 

2. 700 

2.667 

2. 634

2.602

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. 

7.910

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

6.376

6. 311 

6.246 

6.181 

6. 116 

6.052

.5. 987

5. 922 

5.856 

5.792 

5.726 

5. 661

5.596

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

6. 995

6.913 

6.832 

6.750 

6.668 

6.586

6.605

30' longitude.

Inches. 

11.865

11. 770 

11. 675 

11. 579 

11.485 

11. 389

11. 294

11. 199 

11.103 

11.008 

10.9.12 

10. 816

10. 721

10. 625 

10.528 

10. 432 

10. 336 

10. 240

10. 144

'10.047 

9.950 

9.853 

9.757 

9. 660

9.563

9.466 

'9. 369 

9. 272 

9. .175 

9.077

8. 980

8.882 

8.785 

8.087 

8. 5«0 

8. 492

8. 394

8.296 

8.198 

8.099 

8.002 

7.903

7.805

Ordinates of developed 

parallel.

Longi 

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 

.01.6 

.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 

.026 

.038

77°

0.001 

.004 

.008 

.016 

.023 

.033
 62 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 6. Coordinates for projection of maps (scale -g^innr) 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

Meridio- nal dis- ' 

tances 

from 

even 

degree 

parallels.

Inches. 

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.

Indies. 

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' longitude.

 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

(>. 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 FOKMULAS.

TABLE- 7. Coordinates for projection of maps (scale

63

Latitude of 

parallel.

O '

25 00 

05 

10 

15 

20 

25

; 30

35 

40 

45 

50 

55

26 00 

05 

10 

15 

20 

25 

30 

35 

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 

65

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

5.817 

1.1 . 634 

17.451 

23. 268 

29. 085 

34. 903

Abscissas of developed parallel.

24' 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 '' 584

' 2.582 

2.580 

2. 578 

2. 576 

2. 574 

2. 572 

2.570 

2. 568 

2.566 

2.564 

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. 1.95 

6.191 

5. 187 

5.183 

5.179 

5.175 

5. 171 

5.167

5. 163 

6. 159 

5.155 

5. 151 

5. 147 

5.143 

5. 139 

5.1.35 

5.131 

5.127 

5.123 

5. 119

5. 115

74 '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 

1.0.303 

10. 294 

10. 286 

10. 278 

10. 270 

10. 262 

10. 254 

.10.246 

10. 238

10. 230

124' 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. 928 

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.

24 

5 

74 

10 

124 

15

25°

Inches. 

0.000 

.002 

.004 

.007 

.010 

.015

26°

Inches. 

0.000 

.002 

.004 

.007 

.010 

.015

24 

5 

74 

10 

124 

15

27°

Indies. 

0.000 

.002 

.004 

.007 

.011 

.015

24 

5 

74 

10 

124 

15

27°

Inches. 

0.000 

.002 

.004 

.007 

.011 

.015

-28°

Inches. 

0.000 

.002 

.004 

.007 

.011 

.016

24 

5 

74 

10 

124 

15

29°

Indies. 

0.000 

' . 002 

.004 

.007 

.011 

.016
64 GEOGRAPHIC TABLES AND FORMUXAS. [BULL.214. 

TABLE 7. Coordinates for projection of maps (scale -5-^^^) 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.

Indies. 

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 

15.233 

15.220 

15. 208

15. 1S5 

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.

2£ 

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 interval.

24 

5 

7* 

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.] GEOGEAPHIO TABLES AND FORMULAS.

 Continued.

65-

TABLE 7. Coordinates for projection of maps (scale

[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

85 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

37 00

Meridional distances 

from 

even 

degree 

parallels

Inches.

5. 822 

11. 043 

17. 405 

23. 287 

29. 109 

34.930

5. 823 

11. 045 

17.408 

23. 291 

29. 113 

34.930

5. 824 

11.047 

17. 471 

23. 294 

29. 118 

34. 942

6. 824 

11. 049 

17. 473 

23. 297 

29.122 

34.940

Abscissas of developed parallel.

24' long! 

tucle.

Indies. 

2. 453 

2.451 

2. 448 

2. 440 

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. 400 

2. 403 

2.401 

2. 399

2. 390 

2. 394 

2. 391 

2. 389 

2. 380 

2. 384 

2. 381 

2. 379 

2. 370 

2. 374 

. 2.372 

2. 309

2. 307 

2. 304 

2. 302 

2. 359 

2. 357 

2. 354 

2. 352 

2. 349 

2. 340 

2. 344 

2. 341 

2.339

2. 330

5' longitude.

Inches. 

4. 900 

4. 901 

4.897 

4. 892 

4.887 

4. 882 

4.878 

4.873 

4. 808 

4.804 

4. 859 

4.854

4.850 

4.845 

4.840 

4.835 

4.831 

4. 820 

4.821 

4.810 

4. 811 

4.807 

4. 802 

4.797

4.792 

4.787 

4.782 

4. 777 

4.773 

4. 708 

4. 703 

4.758 

4.753 

4.748 

!743 

4.738

4.733 

4. 728 

4. 723 

4.718 

4.713 

4.708 

4. 703 

4. 098 

4. 093 

4. 088 

4. 083 

4.078

4.073

74'longi 

tude.

Inches. 

7. 359 

7.352 

7.345 

7.338 

7. 331 

7. 324 

7.317 

7. 310 

7.303 

7. 290 

7. 289 

7.282

7.275 

7.207 

7.260 

7. 253 

7. 240 

7. 239 

7. 231 

7. 224 

7.217 

7. 210 

.7. 203 

7. 195

7. 188 

7.181 

7. 174 

7.160 

7. 159 

7.151 

7. 144 

7.137 

7. 129 

7. 1.22 

7. 115 

7. 107

7.100 

7. 092 

7.085 

7.077 

7.070 

7. 002 

7. 055 

' 7.047 

7.039 

7. 032 

7.024 

. 7. 017

7.009

10' longitude.

Indies. 

9. 812 

9. 802 

9. 793 

9. 784 

9. 774 

9. 705 

9.750 

9. 740 

9. 737 

9. 728 

9. 718 

9.709

y.700 

9. 090 

9.-G80 

9. 071 

9. 661 

9. 652 

9. 642 

9. 632 

9. 623 

9. 613 

9. 004 

9. 594

9. 584 

9. 574 

9.565 

9. 555 

9. 545 

9. 535 

9. 525 

9. 516 

9. 506 

9.496 

9.486 

9. 476

9. 466 

9.456 

9. 440 

9. 436 

9. 426 

9. 416 

9. 400 

9. 390 

9. 386 

9. 370 

9. 306 

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 

12.100 

12. 148 

12. 130

12. 124 

12. 112 

12.100 

12. 088 

12.070 

12. 004 

12.052 

12. 040 

12. 028 

12. 010 

12.004 

11. 992

11. 980 

11.908 

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'longi 

tude.

Inches. 

14. 718 

14. 704 

14. 090 

14. 676 

14.662 

14.648 

11. 033 

11.019 

14. 005 

14. 591 

14.577 

14. 503

14. 549 

14. 535 

14. 520 

14. 500 

14. 492 

14. 477 

14. 463 

14. 448 

14. 434 

14. 420 

14. -105 

14.391

14.370 

14. 302 

14. 347 

14. 332 

14.318 

14. 303 

14.288 

14. 273 

14. 259 

14. 244 

14.229 

14.214

14. 200 

14. 185 

14.109 

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 

74 

10 

124 

15

/

2-i 

5 

74 

10 

124 

15

33°

Inches. 

' 0. 000 

. 002 

.004 

.008 

.012 

.017

35°

Incites. 

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 

5 

74 10 

124 

15

35°

Inches. 

. 0. 000. 

. .002 

.004 

. .... 008 

. 012 

. 018

37°

Inclws. 

. 0. 00 1. 

. .002 

. .005 

- .008 

.013 

.018

36°

Inches 

0. 001 

..002 

. 005 

i.OOS 

.013 

 . 018

Bull. 214 03-
66 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 7. Coordinates for projection of maps (scale 3-3-^) Continued. 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

37 00 

05 

10 

]5 

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. 051 

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

Abscissas of developed parallel.

24' 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. 062 

4. 057 

4.652 

4.647 

4. 042 

4.637 

.4.631. 

4. 626 

4.021 

4. 016

4.611 

4.606 

' 4.600 

4.595 

4.590 

4.584 

4.579 

4.574 

4. 509 

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 

4.477 

4.472 

4.466 

4.461 

4.455 

4.450 

4.444 

4. 439 

4. 433 

4.428 

4.422

4.417

74' longitude.

Inches. 

7. 009 

7.001 

6. 994 

6. 986 

0. 978 

0. 970 

0. 903 

0. 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 

0. 845 

6.837 

0. 829

0. 821 

6.813 

6.805 

6. 797 

6.789 

6. 781 

6. 773 

6.765 

6. 757 

6.748 

 0.740 

0.732

0.724 

0.710 

6.708 

6.699 

6. 691 

0.683 

0. 675 

0.666 

6. 658 

0.050 

6.642 

0.633

0. 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. 08 1 

9.073 

9. 003 

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' ion. 

gitude.

Inches. 

11. 682 

11. 669 

11. 056 

11. 643 

11. 630 

11.617 

11. 604 

11. 591 

11. 578 

11.566 

11.553 

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. 309 

11. 355 

11. 342 

11. 328 

11. 315 

11.301 

11.288 

11.274 

11.201 

11. 247 

11.234 

11. 221

11.207 

11. 193 

11.180 

11.166 

11.152 

11. 138 

11. 124 

11.111 

11. 097 

11. 083 

11.069 

11..056

11. 042

15' longitude.

Inches. 

14. 018 

14. 008 

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 

13.010 

13. 594 

13. 578 

13.502 

13. 545 

13. 529 

13. 513 

13. 497 

13. 481 

13. 405

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.

24' 

5

10 

124

15

/

24 

5 

74 

10 

124 

15

Longitude interval.

24 

5 

74 

10 

124 

15

24 

5

1.0 

124 

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 

.013 

. 01 9

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.] GEOGBAPHIC TABLES AND FOBMULAS.

TT) Continued.

67

TABLE 7. Coordinates for projection of maps (scale B 

[From Smithsonian Geographical Tables.]

Latitude of 

parallel.

o / 

41 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

42 00 

05 

10 

16 

20 

25 

30 

35 

40 

45 

60 

55

43 00 

05 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55

44 00 

05 

10 

15 

20 

25 

30 

36 

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. 666 

17. 498 

23. 331 

29. 164 

34. 997

Abscissas of developed parallel.

24' 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. 11.4 

2.1.11 

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 

4.263 

4.257 

4.251 

4. 246 

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 

4.161 

4.145

4.139

74' longitude.

Inches. 

6.625 

6.617 

6.608 

6.600 

6. 591 

6.583 

6.575 

6.566 

6.558 

6.549 

6.541 

6.533

6. 524 

6.515 

6.507 

' 6.498 

6. 490 

6.481 

6.472 

6.464 

6.455 

6.447 

6.438 

6.429

6. 421 

6.412 

6.403 

6. 395 

6. 386 

6.377 

6.368 

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. 766 

8.755 

8.744 

8.732 

8.721 

8.710

8.699 

8.687 

8.676 

8.664 

8.653 

8.641 

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

124' 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. 643 

10.628 

10.614 

10. 599 

10. 585 

10. 570 

10. 555 

10. 541

10. 526 

10.511 

10. 496 

10. 482 

1.0. 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. 701 

12.684 

12. 666 

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 interval.

2* 

5 

7* 

10 

124 

15

2i 

5 

71 

10 

124 

15

Longi- tude' 

interval.

2* 

5 

74 

10 

124 

15

24 

5 

74 

10 

124 

15

41°

Indies. 

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°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019

44°

Inches. 

0.001 

.002 

.005 

.009 

.013 

.019
68 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

' TABLE 7. Coordinates for projection of maps (scale ^i^ff) Continued. 

[From Smithsoniau Geographical Tables.]

Latitude of 

parallel.

o / 

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. 318 

29. 185 

35.021

5.838 

-11.676 

17.514 

23. 352 

29. 190 

35. 027

'. Abscissas of .developed parallel.

2i' 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 

1.962

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

74' longitude.

Inches. 

6.209 

6.200 

6.191 

6.181 

6.172 

. 6. 163 

6.154 

6.145 

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 

S.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 

7.666 

7.553 

7.540

' 7. 528

124' 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 

1 1.846 

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.

24 

5

10

12^

15

/

24 

5 

74 

10 

124 

15

Longitude interval.

24 

5 

74 

10 

124 

15

24 

5 

74 

10 

124 

15

24 

5 

74 

10 

124 

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 

.018 

.019

49°

Incites. 

0.001 

.002 

.005 

.008 

.013 

.019

46°

Inches. 

0.001 

.002 ' 

.005 

.009 . 

.013 i 

.019 !

48°

Inches. , 

0.001 ' 

.002 

.005 

.008 

.013 

.019

50°

Inches. 

0.001 

.002 

.005 

.008 

.013 

.019
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 69

TABLK 8. Coordinates for projection of maps {scale

Latitude of 

parallel.

o /

26 00 

05 

07* 

10 

15

20 

22* 

25 

30

35 

37* 

40 

45

50 

52* 

55 

00

27 00 

05 

07* 

10 

15

20 

22* 

25 

30

35 

37* 

40 

45

50 

52* 

55 

00

 28 00 

05 

07* 

10 

15

20

 22* 

25 

30

,35 

37* 

40 

45

50 

52* 

55 

GO

Abscissas of developed parallel.

Longitude interval.

5'

 Inches. 

7.300 

.294 

.292 

.389 

.284

7.279 

. 270 

:273 

' . 268

7.203 

.200 

.258 

.252

7.247 

.245 

.242 

.237

7.237 

.231 

.229 

.226 

.221

7. 215 

.212 

. 209 

.204

7. 199 

. 190 

.193

' . 188

7. 182

: . iso

. 177 

.171

7. 171 

.100 

. 103 

. 160 

. 155

. 7.149 

.147 

.144 

. 188

. 7. 132 

 . 129 

.127 

. 121

7. 116 

.118 

. 110 

.104

7?'

Inches. 

10. 949 

.941 

.937 

.933 

.920

10. 918 

.914 

.910 

 . 902

10. 894 

.890 

' .880 

' .878

10. 871 

' .807 

' .863 

' .855

10. 855 

.847 

.843 

.839 

.881

10. 822 

.818 

' .814 

.800

10.798 

.793

.789 

.781

10. 774 

.709 .705 ' 

' .757

10. 757 

.749 

.744 

.740 

.732

10. 724 

.720 

. 7.1.6 

; .707

10. 698 

. 094 

 .'690

 .081

! i . 10. 673 

.069 

.065 

. 650 

j

10'

Inches. 

14.599 

,589 

.583 

.578 

.568

14.557 

.552 

.547 

.537

14. 520 

.521. 

. 515 

.505

14.495 

.489 

.484 

.473

14.473 

.463 

.457 

.452 

. 442

14.430 . 

.425 

' .419 

' .408

14. 397 

.392 

.386 

.375

14.305 

.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 

' . 807 

' . 852

21. 836 

.828 

 .820 

.805

21. 789

.781 

.773 

.757

. 21.742 

.734 

.720 ' 

.710

21. 710 

.094 

.086 

' .078 

.662

21. 645 

.637

 .628 

 .612

21. 590 

.587 

.579 

. 503

21,547 

.539 

.531 

. 51 4

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

7* 

. 10 

15

Latitude 

interval.

 / 

1 

2 

3 

4 

5 

0 

7 8 ' 

9 

10

Longitude interval.

5 

7* 

10 15'

Latitude 

interval.

1 

2 

3 

4 5' 

. 0 

7 

8 9 

10

Longitude interval.

5 

7* . 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 

4.840 

0. 401 

8.077 

9.092 

11. 308 

12. 924 

14.539 

10. 154

Inch.

 .003 

.005 

.010 

.022

Meridional distance.

Inches. 

1.616 

3.232 

' 4.847 

6.463 

8. 078 

9. 094 

1.1. 310 

12. 925 

' 14.541 

10.157

Inch.

.003 

.005 

. 010 ' 

.022'

Meridional distance.

Inches.' 

1. 616 : 3.232' 

 4.848 

6. 404 

8. 079 

'9. 095 

11. 311 

12. 927 

14.543 

1C. 159
70 GEOGRAPHIC TABLES AND FORMULAS. [BUU..214.

TABLE 8. Coordinates for projection of maps (scale 37^7.) Continued.

Latitude of

parallel.

o /

29 00

05

074

10

1 *\ J.O

20

224

25 

30

35

374

40 

45

50 

524

5560 '

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

52£

55

60

Abscissas of developed parallel.

Longitude interval.

5'

Inches.

7.104

.099

.096

.093

.087

7.081

.078

.075 

.070

7.064

.001

.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

Q^wl fi7t>4:

.951.

.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

Qflft

. yuo 

.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 !oso

.077

.068

.051

21. 033 

.024 

.015

20. 998

20. 980

.971

.962

.945

20.927 

.918 

.909 

.890

20. 890

.872

. 862 

.853

.835

20. 817

.808 

.798 

.780

20. 761 

.752 

.744 

.725

20. 706

.696

.688

.669

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

35

Latitude 

interval.

/

1 

2

0

O

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

.010

.023

Meridional distance.

Inches. 

1.616

3.232

4.848 

6. 464

S nfli 

. Uoi

9.C97 

11.313

12. 929

14. 545 

16.161

Inch.

.003

.006

.010

.023

Meridional distance.

Inches.

1. 616

3

0OO

. ^oo 

4.849

6.465

8.082

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
GEOGRAPHIC TABLES AND FORMULAS.

M2 8. Coordinates for projection of maps (scale T^OTIT) Continued.

71

Latitude of 

parallel.

o / 

32 00 

05 

07 i 

10 

15

20 

224 

25 

30

35 

374 10 

 15

50 

524 

55 

(10

33 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

 10 

45

50 

524 

55 

GO

3<l 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

 10 

45

50 

524 

55 

60

Abscissas of developed parallel.

Longitude interval.

5'

Inches. 

6.890 

.883 

.880 

.877 

.871

(i. 804 

.801

.858 

.852

6. 845 

.842 

.839 

. 833

0.826 

.823 

.820 

.814

6.814 

.807 

.804 

.801 

.794

0. 788 

.784 

.781 

.775

6.7G8 

.765 

.762

.755

6. 749 

. 745 

.7-12 

.736

6. 736 

. 729 

.726 

. 722 

.716

0. 709 

.706 

.702 

.696

6.689 

.686 

.682 

.676

0.669 

.666 

. 662 

.656

74'

Inches. 

10.334 

.325 

.320 

.315 

.306

10. 290 

.291

.287 

.277

10.268 

. 203 

.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 

.700 

.754 

.742

13.729 

.722 

.716 

.703

13.691 

.684

.078 

. 005

.13.653 

.046 

.640 

. 027

13. 627 

. 014 

.007 

.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 

. 409 

. 400 

. 441

20.441 

. 421 

.411 

. 402 

.382

20: 363 

.353 

.343 

.324

20. 304 

.294 

.285 

.265

20. 246 

. 230 

. 220 

.207

20. 207 

.187 

.177 

.107 

. 1'47

20. 127 

.117 

.107 

.087

20. 007 

.057 

.047 

.027

W. 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 

0 

7 

8 

9 

10

Longitude 

interval.

5 

74 

10 

15

Latitudeinterval.

1 

2 

3 

4 

5 

G 

7 

8 

9 

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

Meridional distance.

Inches. 

1.017 

3.234 

4. 852 

0: 469 

8.086 

9.703 

11.321 

12. 938 

14. 555 

16.172

Inch.

.003 

.000 

.Oil 

.025

Meridional distance.

Inches. 

1.617 

3.235 

4. 852 

6.469 

8.087 

9. 705 

11.322 

12. 938 

14.657 

16. 174
 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

.TABLE 8. Coordinates for projection of maps (scale, Continued.

Latitude of 

parallel.

o / 

' 35 00 

 05' 

 - 074 

- , 10 

.- 15

20' - 

. 224 

25 

30

35 

374

40 

'. 45

50 

524 

55 

. 00

36 06 

05 

07i 

. . 30 

. 15

20 

224 

. .. 25 

... . . 30

: . 35 

374 

: 40 

45

50 

524 

55 -GO

37 00 

 - .05-- 

074 

. 10 

15

20 

22| 

25 

30

35 

374 

40 

45

' 50 

524 

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

0.461 

.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 

.850 

.845 

.840 

.829

9.819 

.814 

-.808 

.799

9.787 

.782 

.7.77 

.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. 575 

.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.

Longi- 

'tude 

interval.

/ 

5 

 74' 

10 

15

Latitude 

interval.

' 12 ' 

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 1 

 3 

 4 : 5 

6 

7 

8 . 

 9 ' 

 -10 i

Inch.

.003 

. 006 

.011 

.025

Meridir 

onal distance.

Inches. 

1. 018 

3.236 

4.853 

0. 471 

8.089 

9.706 

11.324 

12. 942 

14.560 

10. 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 i 

14.562 . 

16. 180

Inch.

.003 

.007 

.012 

.020

Meridional distance.

Indies. 

1.618 

3.236 

4.855 

6. 473 

8.091 

9.709 

11.328 

12.946 

14. 564 

 16.182
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 73

TABLE 8. 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 cfi * 07 if 

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

OQO 

. OQ£i

6.375

.371

.367 

.360

6.353 

.349 

.346 

.338

6.331 

.327

.324 

.316

6. 316 

.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

!457

.451

.440

9.429 

.423 

.418

.406

9.395 

.389 

.384 

.373

9. 361 

.356 

.350 

.339

9. 339 

.328

1316

.305

9.293

.288

.282 

.270

. 9. 259 

.253 

. 247 

. . 236

9. 224 '

. 219 

.213

. 201 ' 

10' ;

Inches.

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

!eo9

18. 587

.576

.564 

.540

18.518 

.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.

i

5

 74

10

15

Latitude 

interval.

,

1 

2 

3 

4 

6

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

.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 

3.237 

4.856 

6.475 

8.094

9.712

11.331 

12. 950 

14.569 

16.188

Inch.

.003

.007

.012

.026

Meridional distance.

Indies. 

1. 619 

3.238 

4.857 '" 6.476

8. 095

9.714

' 11.333

12. 952

. 14.571.

' ,16. 190
GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 8. Coordinates for projection of maps (scale 3-5^7) Continued.

Latitude

of

parallel.

o /

41 00

05

07-

10

1 c

20

22-

25 

30

35

 40° 

45

50

55° 

60

42 00 

05

07*

10

15

20 

221 

25

30

35

40° 

45

50 

52J 

55 

60

43 00

05

07* 

10

15

20

25° 

30

35 ]

40" 

45

50

52£ 55

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

!029

.025

.017

6.009 

.005 

.001

5.993

5.985 

.981 

.977 

.969

5.961 

.957 

.953 

.945

5.945

.937

.933 

!929

.921

5.913

.909 

.905 

.896

5.888 

.884 

.880 

.872

5.864

.860

.856

.848

W

Inches.

9.201

.190

.184

.178

.166

9.155

.149

.143 

.131

9.119 

.113

.107 

.096

10'

Inches.

12.269 '

.254

.246

.238

.222

12. 206

.198

.190 

.175

12.159 

.152

.143 

.128

9.084 12.113 

.078 .105 .

. 072 . 096 

.061 .081

9

ifii 1 9 nsi

. JOJL *.£., UoJ.

. 049 . 066

. 043 . 057

. 037 . 050

.025 .034

9. 013 

.007 

.001

8.989

8.978 

.971 

.966 

.954

8.942 

.936 

.930 

.918

8.918

.906 

. Qnn yuu

.893

.881

8.869

.863 

.857 

.844

8.832 

.826 

.820 

.808

8.796

.790

.783

.771

12.018 

.010 

.002

11. 986

11.970 

.963 

.955 

939

11.923 

.915 

.907 

.891

11. 891

.875

Q/'Q

. 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

18 122

!098

.086

.074

.051

18. 027 

.015 

.003

17.979

17. 956 

.944 

. 932 

.908

17. 884 

.872 

.861 

.836

17. 836

.812

;?87

.763

17. 738

.726 

.714 

.689

17. 665 

.653 

.640 

.616

17.592

.580

.567

.543

Ordinates of developed parallel.

Longitude

interval.

,

5

7*

10

Inch.

.003

.007

.012

15 ! .026

1

Latitude 

interval.

1

2

3

4 

5

6

7

8

9 

10

Longitude

interval.

t

5

74

10

15

Latitude 

interval.

»

1

2 

3 

4 

5

6

Meridional distance.

Inches. 

1.619

3.239

4.858 

6.477

ft fttf? o. vV*

9.716 

11. 335

12. 955

14. 574 

16. 193

Inch.

.003

.007

.012

.026

Meridional distance.

Inches.

1.620 

3.239 . 4.859 

6.478 

8.098

9.718

7 1 11.337 

8 ! 12.957 

9 14. 576 

10 16. 196

Longitude

interval.

/

5

7*

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

s!ioo

9.719

11.339

12.959

14.579

16. 199
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 8. Coordinates for projection of maps (scale 3-^3-) Continued.

V5

Latitude 

of 

parallel.

o / 

44 00 

05 

074 

10 

15

. 20 

224 

25 

30

35 

374 

40 

45

50 

62^ 

55 

60

45 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

40 

45

60 

524 

55 

60

46 00 

05 

074 

10 

15

20 

224 

25 

30

35 

374 

40 

45

60 

524 

65 

60

Abscissas of developed parallel.

Longitude interval.

5'.

Inches. 

5.848 

.839 

.835 

.831 

.823

5.81.5 

.810 

.806 

.798

o. 790 

.786 

.782 

.773

5.765 

.761 

.757 

.749

5.749 

.740 

.736 

.732 

.724

5.7l5 

.711 

.707 

.699

5.690 

.686 

.682 

.673

6.665 

.661. 

.657 

.648

5.648 

.639 

.635 

.631 

.622

5.614 

.609 

.605 

.597

6.588 

.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 

.614 

.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'.

Indies. 

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.

6 

74 

10 

16

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. 801 

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 

11.345 

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
76 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLES. Coordinates for projection ofmaps (scale ^throO Continued.

Latitude 

of 

parallel.

o / 

47 00 

05 

07£ 

10 

15

20 

22i 

25 

30

35 

37i 

40 

45

50 

53£ 

55 

60

48 00 

05 

07£ 

10 

15

20 

22£ 

25 

30

35 37i 

40 

45

50 

52£ 

55 

60

49 00 

05 

07* 

10 

15

20 

22£ 

. 25 

30

'. ' - "35 

. 37£ 

40

'.' * 45

50 

52£ '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 

.524 

.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:,'i

7*'-

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

10'.

Inches. 

16. 636 

.610 

.597 

.584 

.558

16. 531 

.518 

.505 

.479

16. 453 

.440 

.427 

.401

16. 374 

.362 

.348 

.323

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'

Ordinatesof developed parallel.

Longitude 

interval.

t i 

5 

7* 

10 

15

Latitude 

interval.

1 

2

3 

4 

5 

6 

7 

8 

9 

10

Longitude 

interval.

5 

71 

10 

15

Latitude 

interval.

1

2 

3

4 

5 6 '

' 7 

8 

9

.10

Longitude 

interval.

t ,

 5 ' . n

10 . 

15

Latitude 

interval.

1 

2 ' 3 

4 

5 

6 

 7 ' 

8 

9 '10

Inch.

.003 . .007 

.012 

.026

Meridional dis: 

tance.

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 

.028

Meridional distance.

Inches. 

1.621 

3.242 

4.864 

6.485 

8.107 

9.728 

11. 349 

12. 971 

14. 592 

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. 77

TABLE 9. Areas of quadrilaterals of earth's surface of SO' extent in latitude and longitude. 

[From Smithsonian Geographical Tables. |

Middle latitude of 

quadrilateral.

o /

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

9 00 

9 15 

9 30 

9 45

10 00 

10 15 

10 30 

10 45

Area i:n 

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.

0 /

11 00 

11 15 

11 30 

11 45

1,2 00 

12 15 

12 30 

12 45

13 00 

13 15 

13 30 

13 45

14 00 

14 15 

14 30 

14 45

15 00 

15 15 

15 30 

15 45

16 00 

16 15 

16 30 

16 45

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

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

1, 158. 44 

1, 157. 29 

1, 156. 12 

1, 154. 93

1, 153. 72 

1, 152. 48 

1,151.23 

1, 149. 95

1, 148. 65 

1, 147. 33 

1,145.99 

1, 144. 63

1, 143. 25 

1, 141. 84 

1, 140. 41 

1, 138. 96

1, 137. 60 

1, 136. 00 

1,134.49 

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 i; 019. 43

1, 016. 77 

1,014.10

1,011.40 

1, 008. 69 

1, 005. 96 

1,003.20
78 QEOGEAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 9. Areas of quadrilaterals of earth's surface of SO' extent in latitude and

longitude Continued.

[From Smithsonian Geographical Tables,]

Middle latitude of 

quadrilateral.

o /

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 in 

square miles.

687. 70

683. 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
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 9. Areas of quadrilaterals of earth's surface of Stf extent in latitude and longitude Continued.

[From Smithsoiiian Geographical Tallies.]

Midcllelatitucle 

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.

o /

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 

1.36. 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
80 GEOGRAPHIC TABLES ATCD FOEMULAS. [BULL. 214

TABLE 10. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude.

[From Smithsoniaii 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 

1 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.

o / //

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 

squaremiles.

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 X5 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 0.7 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 

squaremiles.

291.59 

291. 47 

291. 34 

291. 22

291.09 

290. 96 

290. 83 

290. 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 

' ;2S7.'l7

287. 00 

286. 83 

286. 67 

286. 50

286. 33 

286. 16 

285. 99 

285. 82

285. 64 

285. 46 

285. 28 

285. 10
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 81

TABLE 10. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude Continued.

[From Smithsonian Geographical Tables.]

Middle latitude 

of quadrilateral.

0 / //

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.

0 / //

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 

squaremiles.

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

Bull. 214 03-
82 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 10. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude Continued.

[From Sinithsouiaii 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 

squaremiles.

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 

4Q 3Q 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 

218.60

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 -, 

16 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 

square miles.

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
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 83

TABLE 10. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude 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 

squaremiles.

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.

o / //

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 

squaremiles.

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.

0 / //

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
84 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 10. Areas of quadrilaterals of earth's surface of 15' extent in latitude and

longitude Continued.

[Prom 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 0*0 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 

quare 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.

o / //

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
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 85

TABLE 10. 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 

squaremiles.

38.64 

37.99 

37.34 

36.69 .

36.03 

35.38 

34.73 

34. 08

33.42 

32.77 

32.12 

81.47

. 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 

86 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 

squaremiles.

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 

squaremiles.

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
86 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 11. Areas of quadrilaterals 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

M»^

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.

° . / 

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 

33 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. 18 

' 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
GANNETT.] GEOGBAPHIC TABLES AND FOEMULAS. 87

TABLE 11. Areas of quadrilaterals of earth's surface of 10' extent in latitude and

longitude Continued.

[From Smitbsouian 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

119. 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.

0 /

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
GEOGRAPHIC TABLES AND FORMULAS. [mat. 214.

TABLE 11. Areas of quadrilaterals of earth's surface of 10' 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 lati- ' 

tude of 

quadrilateral.

. ° /

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
GANNETT.] GEOGEAPHIC TABLES AND FOBMULAS. 89

TABUE 11: Areas of quadrilaterals of earth's surface of Itf extent in latitude and

longitude Continued.

[Prora 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.

0 /

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.

0 /

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

83 35

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

24.57

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
90 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 11. Area 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.

447

4.09

3.70

3.31

2.92

2.53

2.14

1.75

1.36

0.97

0.58

0.19
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 

TABLE 12. For conversion of arc ini,o time.

91

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 

26 

26 

27 

28 

29

80

31 

32 

33 

34 

36 

36 

37 

38 

39

40

41 

42 

43 

44 

46 

46 

47 

48 

49

50

51 

52 

53 

54 

55 

56 

57 

58 

59

CO

0 0 

0 4 

0 8 

0 12 

0 16 

0 20 

0 24 

0 28 

0 32 

0 36

0 40

0 44 

043 

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 66

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 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 

348 

3 52 

3 56

4 0

0

00

61 

62 

63 

64 

65 

66 

67 

68 

69

70

.71 

72 

73 

74 

76 

76 

77 

78 

79

80

81 

82 

83 

84 

85 

86 

87 

88 

89

00

91 

92 

93 

94 

05 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

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 56 

5 0 

5 4 

5 8 

5 12 

5 16

5 20

524 

5 28 

6 32 

5 36 

5 40 

5 '44 

5 48 

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 5i! 

6 56 

7 0 

7 4 

7 8 

7 12 

7 10

7 20

7 24 

7 28 7 32- 

7 30 

7 40 

7 44 

7 43 

7 52 

7 56

8 0

0

120

121 

122 

123 

124 

126 

126 

127 

 128 

129

130

131 

132 

133 

134 

185 

136 

137 

138 

139

140

141 

142 

143 

144 

145 

146 

147 

148 

149

160

151 

152 

153 

154 

165 

156 

157 

158 

159

100

161 

162 

163 

164 

105 

166 

167 

168 

169

170

171 

172 

173 

174 

176 

176 

177 

178 

179

180

h. in.

8 0 

8 4 

8 8 

8 12 

8 16 

8 20 

8 24 

8 28 

8 32 

8 36

8 40

8 44 

8 48 

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 

10 24 

10 28 

1032 

10 36

10 40

10 44 

10 48 

10 62 

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 

185 

186 

187 

188 

189

190

191 

192 

193 

194 

in 

196 

197 

198 

199

|200

201 

202 

203 

204 

206 

206 

207 

208 

209

210

211 

212 

213 

214 

216 

216 

217 

'218 

219

220

221 

222 

223 

224 

226 

226 

227 

228 

229

230

231 

232 

233 

234 

235 

236 

237 

238 

239

240

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 

18 36 

13 40 

13 44 

13 48 

13 52 

13 56

14 0

14 4 

14 8 

14 12 

14 16 

14 20 

14 24 

14 28 

14 32 

14 36

14 40

14 44 

1448 

14 52 

14 56 

15 0 

15 4 

15 8 

15 12 

15 16

15 20

15 24 

15 28 

15 32 

15 36 

16 40 

15 44 

1548 

15 52 

15 56

16 0

o

240

241 

242 

243 

244 

245 

246 

247 

248 

249

250

251 

262 

263 

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 

205 

296 

297 

298 

299

300

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

0

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 

829

330

331 

332 

333 

334 

835 

336 

337 

338 

339

340

341 

342 

343 

344 

345 

346 

347 

348 

349

350

351 

352 

353 

354 

355 

356 

357 

358 

359

360

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 

2052 

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 

2220 

22 24 

22 28 

22 32 

22 36

22 40

22 44 

2248 

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 52 

23 56

24 0

,

0

1 

2 

3 

4 

6 

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 

85 

36 

37 

38 

39

40

41 

42 

43 

44 

45 

46 

47 

48 

49

50

61 

52 

53 

54 

55 

66 

67 

58 

69

00

0 0 

0 4 

0 8 

0 12 

0 16 

0 20 

0 24 

0 28 

0 32 

0 36

040

044 

048 

0 52 

0 56 

1 0 

1 4 

1 8 

i 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 62 

2 66 

3 0 

3 4 

3 8 

3 12 

3 16

320

3 24 

3 28 

3 32 

3 36 

3 40 

3 44 

3 48 

352 

3 66

4 0

it

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

61 

52 

63 

64 

55 

56 

57 

68 

69

60

0.000 

0.067 

0.133 

0.200 

0.267 

0.333 

0.400 

0.467 

0.533 

0.600

0.667

0.733 

0.800 

0.867 

0.933 

1.000 

1.067 

1.133 

1.200 

1.267

^.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
92 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 13. For conversion of time into arc.

[BULL. 214.

Hours of time into arc.

Time.

hrs.

1

2

3

4

Arc.

o

15

30

45

60

Time.

hrs.

5

6

.7

8

Arc.

0

75

90

105

120

Time.

hrs.

9

10

11

12

Arc.

o

135

150

165

180

Minutes of time into arc.

m.

1

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

2526'

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

60

0 /

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

Time.

hrs.

13

14

15

16

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

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

GO

' n

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

Hundredths of a second of-time into arc.

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

n 

0.15

1.65

3.15

4.65

6.15

7.65

9.15

10.65

12.15

13.65

.02

//

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

11.10

12.60

14.10

.05

0.75

2.25

3.75

5.25

6.75

8.25

9.75

11.25

12.75

14.25

.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

.09

II

1.35

2.85

4.35

5.85

7.35

8.85

- 10. 35

11.85

13.35

14.85
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 14. For conversion of mean time into sidereal time.

93

8

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 

69

60

m 

0

h 'm s 

000

0 '6 5 

6 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 69 

5 53 4 

5 59 9

6 5 16

m 

1

li 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 

7 0 2

767

7 12 12 

7 18 17 

7 24 23 

7 30 28 

7 36 33 

7 42 38 

7 48 44 

7 54 49 

3 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 65- 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 62 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 

16 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 64 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 68 

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 63 

1 67 

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

8

0.50

0.51 

0.52 

0.53 

0.54 

0.55 

0.56 

0.57 

0.68 

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

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 60 

3 64 

3 57 

4 1 

4 6 

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 52 .

4 56 

4 59 

6 3 

5 7 

5 10 

5 "14 

5 18 

6 21 

5 25

5 29

5 32 

5 36 

5 40 

5 43 

5 47 

5 51 

5 54 

5 58 

6 2

6 '5

Example: Let the given mean 

timebe!4>>67m 32«.56. 

The table gives 

fl rst for 14h 54°> 51 2 27 

then for 2 41.56 0.44

The sum 

14»57">32».56-t-2'n 

is the required

2 27. 

27 ». 44-1

sidereal t

44

jh Qm Q.«

ime.
94 GEOGBAPHIO TABLES AND FOKMULAS.

TABLE 15. For conversion of sidereal time into mean time.

[BULL. 214.-.

s

.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

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 64 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 56 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 51 

3 61 57 

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

6 12 21 

6 18 27 

6 24 33 

6 30 40 

6 36 46 

6 42 52 

6 48 58 

6 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 66 7 

8 2 13

8 8 19

8 14 26 

8 20 32 

8 26 i?8 

8 32 44 

8 38 51 

8 44 67 

8 51 3 

8 57 9 

9 3 16

9 9 22

9 15 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 62 

. 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 69 22 

17 5 29 

17 11 35

17 17 41

17 23 47 

17 29 54 

17 36 0 

17 42 6

17 48 12 

17 64 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 66 23 

20 2 30 

20 8 36 

20 14 42

20 20 48

20 26 55 

20 33 1 

20 39 7 

20 4S 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

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 43 

0 51 

0 55 

0 59 

1 2 

1 6 

1 10

1 13

1 17 

1 21

1 21 

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 

0.53 

0.54 

0.55 

0.56 

0.57 

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

1.00

m s 

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 52 

5 55 

5 59 

6 3

6 6

Example: Given 15h Om 0s. 

The table gives 

first for 14h57°>l8>< 2n>27<>

then for 2 42 0.44

15 0 0 2 27.44 

The difference

is the required mean time.
GANNETT.] GEOaEAPHIO TABLES AND FORMULAS.

TABLE 16. For interconversion of feet and decimals of a mile.

95

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

.04

.05

.06 '

.07

.08

.09

.10

.11

.12

.13

.14

.15

.16

.17

.18

.19

.20

.21

22

!23

.24

.25

Feet.

1373

1426

1478

1531

1584

1637

1690

1742

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
TABLE 17. For converting wheel revolutions into decimal

[Fractions of a mile.]

Circumference of 

wheel.

Feet.

11.0

.1

.2

.3

.4

11.5

.6

.7

.8

.9

12. O

.1

.2

.3

.4

12.5

.6

.7

.8

.9

13.0

.1

.2

.3

.4

13.5

.01 .02 ..03 .04 .05 .06 .07 .08 .09 .10 .20 .30 

Revolutions.

6

5

6

5

5

5

5

5

4

4

4

4

4

4

4

4

4

4

4

4

4

. 4

4

4

4

4

10

10

9

9

9

9

9

9

9

9

9

9

9

9

8

8

8

8

8

8

8

8 .

8

8

8 

8

14

14

. 14

14

14

14

14

13

13

13

13

13

13

13

13

13

13

13

12

12

12

12

12

12

12

12

19

19

19

19

18

18

18

18

18

18

18

.17

17

17

17

17

17

17

16

16

16

16

16

16

16

16

24

24

24

23

23

23

23

23

22

22

22

22

22

21

21

21

21

21

21

20

20

20

20

20

20

20

29

29

28

28

28

28

27

27

27

27

26

26

26

25

25

25

25

25

25

25

24

24

24

24

24

24

34

33

33

33

32

32

32

32

32

31

31

31

30

30

30

30

29

29

29

29

28

28

28

28

28

27

38

38 .

38

37

37

37

36

36

36

35

35

35

35

34

34

34

34

33

33 ' 33

33

32

32

32

31

31

43

43

42

42

42

41

41

41

40

40

 40

39

39

39

38

38

38

37

37

37

37

36

36

36

36

35

48

48

47

47

46

46

46

45

45

44

44

44

43

43

43

42

42 .

42

41

41

41

40

40

40

39

39

96

95

94

93

93

92

91

90

89

89

88

87

87

86

85

84 ,

84

83

82

82

81

81

80

79

79

78

144

143

141

140

139

138

136

135

134

133

132

131

130

129

128

127

126

125

124

123

122

121

120

119

118

117
GANNETT.] GEOGKAPHIC TABLES AND FOKMULAS. 97

TABLE 18. Five-place logarithms of natural numbers.

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

Computed from the formula,

AN A log N

N ~ jit ' '

/*=moclulus of common logarithms = 0.43429448.

For 

A log N 

 I unit in

Fourth place ..........

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

Seventh place. ........

AJV 

N

For 

A log N 

= 4 units in

Fourth place..........

Fifth place ...........

Seventh place .........

 AJV ' 

N 

(in round 

numbers)

Bull. 214 03-
98 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLE 18. 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

50

N.

L. 0 1 2 3 4

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 50 515 51 851 53 148

60 206 61 278 62 325 63 347 64 345 

69 897 70 757 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 16 229 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 30 320 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 51 983 52 114 52 244 52 375

53. 148 53 275 53 403 53 529 53 656 

54 407 54 531 54 654 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 59 550

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 65 514 65 610 65 706 

66 276 66 370 66 464 66 658 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 78 9

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 67? 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 

40 654 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 50 379 

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 65 388 55 509 

56 229 56 348 56 467 56 585 56 703

57 403 57 519 57 634 57 749 57 864 

58 546 68 659 58 771 58 883 58 995 

59 660 59 770 59 879 59 988 60 097

60 745 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 

66 745 66 839 66 932 67 025 67 117

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

5678-9

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. 68 557 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.] GEOGRAPHIC TABLES AND FORMULAS. 99 

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

50

51

52 

53

54 

55 

56

57 

58 

59

00

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

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 71 634 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

80 618 80 686 80 754 80 821 80 889 

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

84 510 84 572 84 634 84 696 84 757

85 126 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 91 640 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 95 569 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 98 856 

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 I 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

,£7 216 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 . 98 543 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

56789

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. 68 557 4. 68 558 0 16 = 960 4. 68 557 ' 4. 68 558
100 GEOGRAPHIC TABLES AND FOBMULAS. [BULL.214. 

TABLE 18. Five-place logarithms ofnaturat 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 50i 604

860 903 945 988 #030 

01 284 326 368 410 452

70S 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

. 632 571 610 650 689

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

819 856 893 930 967 

07 188 225 262 298 335 

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 

721 755 789 823 867 

11 059 093 126 160 193

394 428 461 494 528

727 760 793 826 860

12 05? 090 123 156 189 

385 418 450 483 516

710 743 775 808 840 

13 033 066 098 130 162 

354 386 418 450 481

672 704 735 767 799 

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 

17 026 056 085 114 143 

319 348 377 406 435

609 638 667 696 725

L. 0 12 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

72? 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

458 493 529 565 600

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 

513 645 577 609 640

830 862 893 925 966 

*145 *176 *208 *239 #270 

457 489 520 551 582

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

3S 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 31 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

8

4 

5 

6

7 

8 

9

3,2 3,1 3,0 

6,4 6,2 6,0

9,6 9,3 9,0

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.] GEOGRAPHIC TABLES AND FOKMULAS.

TABBE 18,-^Mve-place logarithms of natural numbers Continued.

101

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 

176 

176

177

178 

179

180

181 

182 

183

184 

185 

186

187 

188 

189

100

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 86§ 

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

484 511 537 664 690 

748 775 801 827 854 

22 Oil 037 063 089 115

272 298 324 350 376 

631 567 683 608 634 

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 87}. 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 

245 269 293 336 340

482 505 529 553 576 

717 741 764 788 811 

951 975 998 *021 *045

27 184 207 231 254 277 

416 439 462 485 508 

646 669 692 715 738

875 898 921 944 967

28 103 126 149 171 194 

330 353 375 398 421 

556 578 601 623 646

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

56789

754 782 811 840 869

*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 #085 ,112 

276 303 330 358 385

548 575 602 629 656

817 844 871 898 92§ 

#085 *112 #139 *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

172 198 223 249 274

426 462 477 502 528 

679 704 729 764 779 

930 955 980 *005 *030

180 204 229 254 279 

428 462 477 502 527 

674 699 724 748 773

920 944 969 993 #018 

164 188 212 237 261- 

406 431 455 479 503

648 672 696 720 744

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 *068 *081

217 240 262 285 307 

443 466 488 511 533 

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

211 233 255 276 298

56789

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

2ft 28

2,9 2,8 

5,8 5,6 

8,7 8,4 

11,6 11,2 

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° 25' = 1600" S. 4. 68 557 T. 4. 68 558 0° 30' = 1800" S. 4. 68 557 T. 4. 68 559 

0 26 = 1560' 4. 68 557 4. 68 558. 0 31 = 1860 4. 68 557° 4. 68 559 

0 27 = 1620 4. 68 557 4. 68 558 0 32 = 1920 4. 68 557 4. 68 559 

0 28. = 1680 4. 68 557 4. 68 558 0 33 = 1980 4. 68 657 4. 68 659 

0 29 = 1740 4. 68 557 4. 68 658 0 34 = 2040 4. 68 657 4. 68 559
102 GEOGKAPHIC TABLES AND FOEMULAS. [BULL.214. 

TABLE 18. 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

5i5 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

445 465 486 506 526

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 12 3 4

5

211

428

643

856

6 7 ' 8 9

233 255 276 298

449 471 492 514

664 685 707 728

878 899 920 942

#069 *091 *112 *133 »154 

281 302 323 34§ 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

163 183 203 224

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

358

533

707

881

5

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

0 34 = 2040 4. 68 557 4. 68 659

0 35 = 2100 4. 68 557 4. 68 559

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

0 37 = 2220 4. 68 557 4. 68 559

199 217 235 252

375 393 410 428

550 568 585 602

724 742 759 777

898 915 933 950

6789

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

^ on

2

3 

4

5

6

7

g

4/0

6,0

o/U ft n 

10,0

12,0

14,0 

16,0

is.n """

19

1

2

3 

4

6

7

9

1,9

3,8

5,7 

7,6

Q P\ V,D

11,4

13,3 

15,2

17.1

18

1 i.«

2

3 

4

5

6

7

9

3,6

5,4 

7,2

9,0

10,8

12,6 

14,4

lfi.9

17

1 i 17' *

2

3

4

5

6

7 

8

3,4

5,1 

6,8

Q c; 0,0

10,2

11,9 

13,6

15.3 -, 

P. P.

0° 38' = 2280" S. 4. 68 557 T. 4. 68 559

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

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

0 41=2460 4.68556 4.68560

0 42 = 2520 4. 68. 556 4. 68 660
GANNETT.] GEOGRAPHIC TABLES AND tfOBMULAS.

TABLE 18. Five-place logarithms of natural numbers Continued.

103

N.

250

251 

252 

253

254 

255 

256

257 

258 

259

260

261 

262 

263

264 

265 

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

N:

L. 0 1 2 3 4

39 794 811 829 846 863

967 985 *002 *019 *037 

40 140 157 175 192 209 

312 329 346 364 381

483 500 518 535 552 

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

497 514 631 547 664

664 681 697 714 731 

830 847 863 880 896 

996 f.012 *029 *045 *062

42 160 177 193 210 226 

325 341 357 374 390 

488 504 521 537 553

651 667 C84 700 716 

81? 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 

44 091 107 122 138 154

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 

45 025 040 056 071 086 

179 194 209 225 240

332 347 362 378 393 

484 500 515 530 545 

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 

47 129 144 159 173 188

276 290 305 319 334 

422 436 451 465 480 

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

569 586 603 620 637 

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 

913 929 946 963 979 

#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- 233 249 265 281

377 393 409 425 441 

537 553 569 584 600 

696 712 727 743 759

854 870 886 902 917 

*012 #028 -C044 *059 *075 

170 185 201 217 232

326 342 358 373 389 

483 498 514 529 645 

638 654 669 685 700

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 *04§ ,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

349 363 378 392 407 

494 509 524 538 653 

640 654 669 683 698

784

5

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

0 42 = 2520 ' 4. 68 556 4. 68 560 

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

0 44 = 2640 4. 68 556 4. 68 660 

0 45 = 2700 4. 68 656 4. 68 560

799 813 828 842

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

16

1,6 

3,2 

4,8 

6,4 

8,0 

9,6 

11,2 

12,8 

14,4

15

1,5 

3,0 

4,5 

6,0 

7,5 

9,0 

10,5 

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° 46' = 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. 68 560 

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

0 50 = 3000 4. 68 556 4. 68 561
104 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 18. Five-place logarithms of natural numbers Continued.

N..

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

N.

L. 0' 1 2 3 4

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

693 707 721 734 748

831 845 859 872 886

969 982 996 *010 *024

50 106 120 133 147 161

243 256 270 284 297

379 393 4Q6 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

504 517 530 543 566

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

943 958 972 986

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

*066 *080 *094 *108 *122

206

346

485

624

762

900

220 234 248 262

360 -374 388 402

499 513' 527 541

638 651 665 679

776 790 803 817

914 927 941 955

*037 *051 *065 *079 *092

174

311

447

583

718

853

188 202 215 229

325 338 352 365

461 474 488 501

596 610 623 637

732 745 759 772

866 880 893 907

987 *001 *014 *028 *041

121

255

388

521

654

786

"917

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

*048 *061 *07§ *088 *101

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. 68 661

0 62 = 3120 4. 68 556 4. 68 561

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

0 54 = 3240 4. 68 556 4. 68 561

192 205 218 231

323 336 349 362

453 466 479 492

582 595 608 621

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 *008 #020

108 120 133 145

233 245 253 270

357 370 382 394

481 494 506 518

6789

P. P.

15

1

2

3

4

5

6

7

8

9

1/5

3,0

4,5

6,0

7,5

9,0 in ^ J-V/t)

12,0

13,5

1A.

1

1

3

4

0

6

7

8

. 9

1,4

2,8

4,2

5,6

7/9

8,4

9,8

11,2

12,6

13

1

2

4

6

7

8

9

1,3

2,6

Q 0,»70

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. 68 556 4. 68 561

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.] GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 18. Five-place logarithms of natural numbers Continued.

105

N.

350

351

352

353

354 

855

356

357

358

359

360

361

362

363

364

365

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

398

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 3t)3 315

388 400 418 425 437

509 522 534 546 658

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 5-12 553 565

634 646 657 669 680

749 761 772 784 795

864 875 837 898 910

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

546 557 669 580 591

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

550 561 572 583 594

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

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

996 ,008 ,019 ,031 ,043

113

229

345

461

576

692

807

921

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

506 617 528 639

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 55$ 4. 68 562

1 ' 0 = 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.

13

2

3

4

6

7

8

1,3

2,6 

3,9

5,2

6,5

9/1

10,4

11.7

ii> IA

1

2

3

4

5 

6

7

1,2

2,4

3,6

4,8

6,0 

7,2

8,4

T f\ O

9 J.U,0

11

1

2

4

5

6

7

8

9

1,1

2,2

O O

o/u

4,4

5,5

6,6

7,7 

8,8

9,9

10

2

3 

4

6

7

3^0 

4,0

5,0 

6,0

7,0

Q f\ O/U

n t\ 9 a,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. 68 565 4. 68 663

17= 4020 4. 68 555 4. 68 563
106 " GEOGEAPHIC TABLES AND FORMULAS. [BULL.214 

TABLE 18. 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

548 558 668 579 589

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 1 2 3 4

5 67 8 9

260 271 282 293 304

369 379 390 401 412

477 487 498 509 520

684 595 606 617 627

692 703- 713 724 735

799 810 821 831 842

906. 917 927 938 949.

*013 *023 *034 *045 *055

119 130 140 151 162

225 236 247 257 268

331 342 352 363 374

437 448 458 469 479

542 553 563 574 584

648 658 669 679 690

752 763 773 784 794

857 868 878 888 899

962

066

170

273

377

480

583

685

788

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

890 900 910 921 931

992 *

094

002 #012 *022 *033

104 114 124 134

195 205 215 225 236

296 306 317 327 337

397 407 417 428 438

498

599

699

799

899

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

1 8 = 4080 4. 68 55J> 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

6.7 8 9

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

.P.

11

1/1 

2,2

3,3 .

4,4 

5,5

6,6

7,7

Q 0

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 ft I/O

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.] GEOGKAPEIC TABLES AND FOBMULAS. 107

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

450

451

452

453

454

455

456

457

458

459

4GO

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

400

491

492

493

494

495

496

497

498

499

500

N.

L. 0 1 2 3 4

65 321 331 341 350 360

418 427 437 447 456

514 523 533 543 552

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

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

394 403 413 422 431

486 495 504 514 523

578 587 596 605 614

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 23 4

5

369

466

562

658

753

849

944

*039*

134

229

323

417

511

605

699

792

.885

978

071

164

256

348

440

532

624

715

806

897

988

079

169

260

350

440

529 

619

708

797

88§

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 50}

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

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

1 19 «= 4740 4. 68 554 4. 68 565

6789

379 389 398 408

475 485 495 504

671 681 591 600

667 677 686 696

763 772 782 792

858 868 877 887

954 963 973 982

049 *058 *068 #077

143 153 162 172

238 247 257 266

332 342 351 361

427 436 445 455

521 530 639 549

614 624 633 642

708 717 727 736

801 811 .820 829

894 904 913 922

987 997 *006 *015

080 089 099 108

173 182 191 201

265 274 284 293

357 367 376 385

449 459 468 477

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 64(5 655

717 726 735 744

806 815 824 833

895 904 913 922

984 993 *002 »011

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

0

o

4

5 

6

7

8

9

P

P.

10

1,0

2,0

3,0

4,0 

5,0

6,0

7,0

Q fi o/U

9,0

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 .

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 = 5040 4. 68 653

4. 68 566

4. 68 566

4. 68 566

4. 68 666
108 GEOGRAPHIC TABLES AND FORMULAS'. [BULL. 214. 

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

500

501

502

603

504

505

506

507

508

509

510

511

512

613

514

515

516

517

618

519

520

521

522

523

524

525

526

'527

528

529

530

531

532

.533

534

635

536

537

538

539

540

541

542

543

644

645

546

547

648

549

560

N.

L. 0 1 2 3 4

69 897 906 914 923 932

984 992 *001 *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

501 509 518 526 535

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

7§7 775 784 792 800

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

560 668 576 584 592

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

5 6789

940 949 958 966 975

*027 *036 *044 $053 *062

114 ] 22 ' 131 140 148

200 209 ,217 226 234

286 295 303 312 321

372 381 38? 398 406

458 467 475 484 492

544 552 561 569 578

629 ( 38 646 655 663

714 723 731 740 749

800 808 817 825 884

885 893' 902 910 919

969 978 986 995 *003

054 063 071 079 088

139 ]L47 155 164 172

223 231 240 248 257

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

057 366 074 082 090

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

838

918

767 775 783 791

846 854 862 870

926 933 941 949

997 #005 *013 *020 *02S

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. 68553 4. 68 '566

1 26 = 5160 4.68553 4. 68567

1 27 = 5220 4.68653 4. 68567

084 092 099 107

6789

P.

1

2

3

4

5

6

7

8

9

1

2

3

4

5

6

7

8

9

1

2

3

5

6

7

9

P.

P.

9

A Q u,y 

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

f) Q

&f<J

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. 68 568

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

TABLE 18. Five-place logarithms of natural numbers Continued.

109

N.

550

551 

552 

553

554 

565 

556

557 

. 558 

659

560

561 

562 

563

564 

565 

. 566

. 567 

568 

569

570

571 

572 

573

 574 

575 

576

577 

578 

579

580

581 

582 

. 583

584 

585 

586

I 587 

! 588 

589

590

;' 591

j 592 

I 593

: 594 

, 595 

596

. 597 

598 

' 599

600

N.

L. 0 1 23 4"

74036 044 052 060 068

115 123 13L 139 147 

194 202 210 218 225 

273 280 288 296 304

351 359 367 374. 382 

429 43? 445 453 461 

507 515 523 531 639

586 593 601 609 617 

663 671 679 687 695 

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

358 366 374 381 389 

435 442 450. 458 465 

511 519 526 534 542

587 595 603 610 618

664 671 679 686 694 

74Q 747 755 762 770 

815 823 831 838 846

891 899 906 914 921 

967 974 982 989 997 

76 042 050 057 065 072

118 125 133' 140 148 

193 200 208 215 223 

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

641 649 656 664 &1\ 

716 723 730 738 745 

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

379 386 393: 401 408 

452 459 466 474 481 

525 '532 539 546, 554

597 605 612 619 627 

670 677 685' 692 699 

743 750 757J 764 772

815 822 830, 837 844

L."'Q ' 1" '2-V'F"4

5 6 78 9

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

624 632 640 648 656 

702 710 718 726 733 

780 788 796 803 811

858 865 873 881 889

935 943 950 958 966 

*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

626 633 641 648 656

702 709 717 724 732 

778 785 793 800 808 

853 861 868 876 884

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 

604 612 619, 626 634

678 686 693] 701 708 

753 760 768 775 782 

827 834 842'. 849 856 

' . I

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 

488 495 503 510 517 

561. 568 576 583 690

634 641 648 656 663 

706 714 721 728 735 

779 786 793, 801 808

851 859 866; 873 880

5 ' 6 7 ' 8 9

P. P.

8

1 0,8 

2 1,6 

i 3 2,4 

4 3,2 

5 4,0 

'6 4,8 

7 5,6 

8 6,4 

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 5,6 

9 6,3

P.P.

1° 81' = 5460" S. 4. 68 552 T. 4. 68 568 1° 36' = 5760" S. 4. 68 652 T. 4. 68 569 

1 32 = 5520 ' 4. 68 552 4. 68 568 1 37 = 5820 4. 68 552 4. 68 569 

1 33 = 5580 4. 68 552 4. 68 568 1 38 = 5880 4. 68 552 4. 68 669 

1 34 = 5640 4. 68 552 4. 68 568 1 39 = 5940 4. 68 551 4. 68 569 

1 35 = 5700 4. 68 552 4. 68 569 1 40 = 6000 4. 68 551 4. 68 570
110 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLE 18. Five-place logarithms of natural numbers- Continued.

N.

600

601

602

603

604

605

606

607

608

609

610

611

612

613

614

616

616

617

618

619

620

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 2 3 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

633 540 547 554 561

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 OoO 057

099 106 113 120 127

169 176 183 190 197

239 246 253 260 267

309 316 323 330 337

379 386 393 400 407

449 456 463 470 477

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 1 872 879 886 893

934 1 941 948 955 962

80 003 1010 017 024- 030

072 1079 085 092 099

140 147 154 161 168

209 216 223 229 236

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

1 

090 097 104 111 117

158 164 171 178 184

224 231 238 245 251

291 298 305 311 318

L. 0 1 2 3 4

5 6789

851 859 866 873 880

924 931 938 945 952

996 *003 *010 *017 *025

068 075 082 089 097

140 147 154 161 168

211 219 226 233 240

283 290 297 305 312

355 362 369 376 383

426 433 440 447 455

497 504 512 519 526

569 576 583 590 597

640 647 654 661 668

711 718 725 732 739

781 789 796 803 810

852 859 866 873 880

923 £ 30 937 944 951

993 *000 #007 *014 *021

064 071 078 08§ 092

134 141 148 155 162

204 211 218 225 232

274 281 288 295 302

344 351 358 365 372

414 421 428 435 442

484 491 498 505 511

553 560 567 574 581

623 630 637 644 650 

692 699 706 713 720

761 768 775 782 789

831 837 844 851 868

900 906 913 920 927

969 975 982 989 996

037 044 051 058 065

106 ]L13 120 127 134

175 182 188 195 202

243 250 257 264 271

312 318 325 332 339

380 -387 393 400 407

448 455 462 468 475

516 523 530 536 543

584 591 598 604 611

652 659 665 672 679

720 726 733 740 747

787 794 801 808 . . 814 .

855 862 868 875 882

922 929 936 943 949

990 996 *003 #010 *017

057 064 070 077 '084

124 131 137 144 151

191 198 204 211 218

258 265 271 278 285

325 331 338 345 351

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

6789

P.

1

2

3

4 

5

6

7

9

1

2

3

4

5 

6

7

9

1

2

3

4 

5

6

7

8 

9

P.

0,8

1,6

2,4

^ O, 9^

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

6

0,6

1,2

1,8

2,4 

3,0

3,6

4,2

4,8 

5,4

P. P. .

1° 45' =.6300" S. 4. 68 551 T. 4. 68 571

1. 46 =6360 4. 68 551

1 47 = 6420 4. 68 550

1 48 = 6480 4. 68 51)0

1 49 =6540 4. 68 550

4. 68 571

4. 68 572

4. 68 572

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

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

650

651

652

653

654

655 

666

657

658

669

660

661

662

663

664

665

666

667

668

669

670

671

672

673

674

675

676

677

678

679

680

681

682

683

684

685

686

687

688 

689

690

691

692

T.93

694

695

696

 697

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

558 564 571 578 584

624 631 637 644 651 

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

82 020 027 033 040 046

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

543 549 556 562 . 569

607 614 620 627 633

672 679 685 692 698

737 743 750 756 763

802 808 814 821 827

866 872 879 885 892

930 937 943 950 956

995 *001 *008 *014 *020

83 059 065 072 078 085

123 129 136 142 149

187 193 200 206 213

251 257 264 270 276

315 321 327 334 340

378 385 391 398 404

442 448 455 461 467

506 512 518 515 531

569 575 ' 582 588 594

632 639 645 651 658

696 702 708 715 721

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

448 464 460 466 473

510 616 522 528 535

L. 0 1 2 3 4

5

325

391

458

525

591

657 

723

790

856

921

987

053

119

184

249'

315

380

445

510

575

640

705

769

834

898

963

6789

331 . 338 345 351

398 405 411 418

465 471 478 485

531 638 544 551

598 604 611 617

664 671 677 684 

730 737 743 750

796 803 809 816

862 869 875 882

928 935 941 948

994 *000 *007 £014

060 066 073 079

125 132 138 145

191 197 204 210

256 263 269 276

321 328 334 341

387 393 400 406

452 458 465 471

517 523 530 636

582 588 595 601

646 653 659 666

711 718 724 730 >

776 782 789 795

840 847 853 860

905 911 918 924

969 975 982 988

*027 *033 *040 #046 *052

091

155

219

283

347

410

474

 537

601

664

727

097 104 110 117

161 168 174 181

225 232 238 245

289 296 302 308

353 359 366 372

417 423 429 436

480 487 493 499

544 550 556 563

607 613 620 626

670 677 683 689

734 740 746 753

790 797 803 809 816 

853 860 866 872 879

916 923 929 935 942

979 985 992 998 *004

042

105

167

048 055 061 067

111 117 123 130

173 180 186 192

230 236 242 248 255

292 298 305 311, 317

354 361 367 373 379

417 423 429 435 442

479 485 491 497 504

541 547 553 559 566

5

1° 48' = 6480" S. 4. 68 560 T. 4. 68- 572

1 49 = 6540 4. 68 550 4. 68 572

1 50 =6600 4. 68.550 4. 68 572

' 1 51 = 6660 4. 68 550 4. 68 573

1 52 = 6720 4. 68 550 4. 68 573

6789

P. P.

7 .

1 0,7 

2 1,4

3 2,1

4 2,8

K OK

6 4^2

7 4,9 .

8 6,6 

963

6

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

P. P.

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

1 54 = 6840 4. 68 650 4. 68 573

1 55 = 6900 4. 68 649 4. 68 574

1 56 = 6960 4. 68 549 4. 68 674

1 57 = 7020 4. 68 549 4. 68 574
112 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLE 18. Five-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

750

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 

854 860 866 872 878 

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

332 338 344 350 356

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

747 753 769 764 770 

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 

390 396 402 408 413 

448 454 460 466 471

506 512 518 523 529

L. 0 1 2 3 4

56789

541 547 553 559 566

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

156 163 169 175 181

217 224 230 236 242 

278 285 291 297 303 

339 345 352 358 364

400 406 412 418 42§ 

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

56789

P.P.

7

1 0,7 

2 1,4 

' 3 2,1 

4 2,8 

6 3,5 

6 4,2 

7 4,9 

8 5,6 

9 6,3

«

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 4,5

P. P.

1° 56' = 6960" S. 4. 68549 T. 4. 68 574 2° 1' = 7260" S. 4. 68 549 T. 4 68575 

1 57 =7020 4. 68 549 4. 68 574 2 2 =7320 4. 68 548 4. 68 576 

J £§ = 2?82 !' 68 f49 4 ' 68 675- 2 3 =7380 .4. 68 548 4. 68 576 

1 59 =7140 4. 68 549 4. 68 575 2 4 =7440 4. 68 548 4. 68 576 

2 0 =7200 4. 68 549 4. 68 575 2 5 =7500 4. 68 548 4. 68 577
GANNETT.] GEOGEAPH1C TABLES AND FORMULAS. 113 

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

750

751 

752 

753

754 

765 

756

757 

758 

759

7«0

701 

702 

763

704 

705 

700

707 

768 

709

770

; 771

 772 

i,773

774 

775 

770

777 

778 

,779

780

'781. 

.782 

783

784 

785 

786

787 

788 

739

790

791 

792 

793

' 794 

'795 

790

797 

798 

799

800

N.

. L. 0. JL . 2 3 4

87 500 512 518 523 529

 564 670 576 581 587 

622 628 033 039 645 

079 085 091 097 703

737 743 749 754 700 

795 800 800 812 818 

852 858 804 809 875

910 915 921 927 933' 

907 973 978 984 990 

88 024 030 030 041 047

081 087 093 098 104

138 144 150 150 161 

195 201 207 213 218 

252 258' 264 270 275

309 315 321 326 332 

366 372 377 383 389 

423 429 434 440 446

480 485 491 497 502 

530 542 547 553 55? 

593 598 004 610 615

049 055 000 66(1 672

705 711 717 722 728 

762 707 773 779 784 

818 824 829 '83f> 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

205 271 270 282 287 ' 

321 320 332 337 343 

370 382 387 393 398

432 437 443 448 454 

487 492 498 504 509 

542 '648 '553 559 664

597 603 609 614 020 

053 058 604 669 675 

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 

90 037 042 048 053 069 

091 097 102 108 113

146 151 157 162 168 

200 206 211 217 222 

255 200 266 271 276

309 314 320 325 331

L. 01234

 5 6 789'

535 541 547 552 558

593 599 004 010 616 

651 656 662 668 074 

708 714 720 720 731

700 772 777 783 789 

823 829 835 841 840 

881 887 892 898 904

938 944 950 955 901 

990 *001 *007 #013 *018 

053 058 064 070 070

110 110 121 127 133

167 173 178 184 190 

224 230 235 241 247 

281 287 292 298 304

338 343 349 355 360 

395 400 406 412 417 

451 457 463 468 474

508 513 519 525 530 

564 570 576 581 587 

621 627 632 638 643

677 683 689 694 700

734 739 745 750 756 

790 795 801 807 812 

846 852 857 803 808

902 908 913 919 925 

958 964 969 975 981 

*014 *020 *025 *031 *037

070 076 081 087 092 

126 131 137 143 148 

182 187 193 198 204

237 243 248 254 260

293 298 304 310 315 

348 354 360 365 371 

404 409 415 421 426

459 405 470 476 481 

515 520 526 531 537 

570 675 581 58"i 592

625 631 636 642 647 

080 086 691 097 702 

735 741 746 752 757

790 796 801 807 812

845 851 856 862 867 

900 905 91.1 910 922 

955 960 966 971 977

#009 *015 *020 *026 *03l" 

064 069 075 080 086 

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

5678 9

P. -P.. 

«

1 0,0 

2 1,2 

3 1,8

4 2,4 ; - 

5 3,0 

6 3,0 

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

o .3,0

7 3,5 

8 4,0 

9 4,6

. P. P.

2° 5'= 7500" S. 4. 68 543 T. 4. 08 577 2° 10'= 7800" S. 4. 08 547 T. 4. 08 578 

2 0 = 7560 4. 08 548 4. 68 577 2 11 = 7860 4. 08 547 4. 08 579 

27 = 7620 4. 68 643 4. 68 577 2 12 = 7920 4. 08 547 4. 08 579 

28 = 7080 4. 68 547 4. 08 578 2 13 = 7980 4. 68 547 4. 08 579 

29 = 7740 4. 08 547 4. 08 578 2 14 = 8040 4. 68 540 4. 68 579

Bull. 214 03 8
114 GEOGRAPHIC TABLES AND FORMULAS. [uuLL.214. 

TABLE 18. 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

830

831

832 833-

834 835-

836

837

838

839

840

841

842

843

844

845

846

847

848

849

850

N.

: L. 0 1 2 34

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

680 585 590 596 601

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

540 545 551 656 561

693 598 603 609 614

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 03?

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

531 536 542 647 552

583 588 593 598 603

634 639 645 650 655

686 691 696 701 706

737 742 747 762 758

788 793 799 804 809

840 845 850 855 860

891 896 901 906 911

942 947 952 957 962

L. 0 1 2 3 4

5 6789

336 342 347 352 368

390 396 401 407 412

445 450 455 461 466

499 504 609 515 520

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

302 307 312 318 323

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

505 511 616 521 526

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

865 870 875 881 886

916 921 927 932 937

967 973 978 983 988

5

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

214= 8040 4. 68 546 4. 68 579

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

216= 8160 4. 68 546 4, 68 580

2 17 =8220 4. 68 546 4, 68 580

6789

P.P.

6

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

6

1 0,5

2 1,0 

3 1,5

4 2,0

6

0 A

O/U

7 3,5

8 4,0

9 4,6

P. P.

2° 18' =8280" S. 4. 68 546 T. 4. 68 681

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

2 20 =8400 4. 68 64$ 4. 68 682

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

2 22 =8520 4, 68 545 4. 68 582
GANNETT.] GEOGKAPHIO TABLES AND FOBMULAS. 115

TABLE 18. .Five-place logarithms of natural numbers Continued.

N.

850

851

852

853

854

855

856

857

858

859

800

861

862

863

864

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

81)0

891 

892

893

894

895

8%

897

898

899

000

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

500 505 610 515 520

551 556 561 566 571

601 606 611 616 621

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. 21(i 221 

250 255 260 265 270

300 305 310 315 320

349 354 359 364 369

399 404 409 414 419

448 453 468 463 468

498 503 507 512 517

547 552 557 562 667

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 03? 041 046 OM 056

085 090 095 100 10§

134 139 143 148 153

182 187 192 197 2Q2

231 236 240 245 250

 279 284 289 294 299

32$, 332 337 342 347

.376 381 386 390 395

424 429 434 439 444

L. 0 1 2 3 4

5

967

6789

973 978 983 988

*018 *024 #029 *034 ,,039

069

120

171

222

273

323

374

425

475

526

576

626

676

727

777

827

877

927

977

027

077

126

176

226 

275

325

374

424

473

522

571

621

670

719

768

817

075 080 085 090

125 131 136 141

176 181 186 192

227 232 237 242

278 283 288 293

328 334 339 344

379 384 389 394

430 435 440 445

480 485 490 495

531 536 541 546

581 586 591 596

631 636 641 646

682 687 692 697

732 737 742 747

782 787 792 797

832 837 842 847

882 887 892 897

932 937 942 947

982 987 992 997

032 037 042 047

082 086 091 096

131 136 141 146

181 186 191 196

231 236 240 24$ 

280 285 290 295

330 335 340 345

379 384 389 394

429 433 438 443

478 483 488 493

627 532 537 542

576 581 586 591

626 630 635 640

675 680 685 689

724 729 734 738

773 778 783 787

822 827 832 836

866 871 876 880 885

915 919 924 929 934

963 968 973 978 983

*012 *017 *022 #027 *032 

061 066 071 075 080

109

158

114 119 124 129

1.63 168 173 177

207 211 216 221 226

255 260 265 270 274

303 308 313 318 323

352 357 361 366 371

400 405 410 415 419

448 453 468 463 468

5 "

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

2 22 = 8620 4. 68 545 4. 68 582

2 23 = 8580 4. 68 54£ 4. 68 583

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

2 25 = 8700 4. 68 645 4. 68 583

6 7'8 9

P

1

2

3 

4

5

6

7

9

1

2

3 

4

5 

6

7

g

1

2

3

4 

5

6

7

8

9

P.

. P.

0

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

4

0,4

A Q 

U/O

1/2

1,6 

2,0

2,4 

2,8

3,2

3,6

P.

2° 26' = 8760" S. 4. 68 544 T. 4. 68 684

2 27 = 8820 4. 68 544

2 28 = 8880 4. 68 644

2 29 = 8940 4. 68 644 

2 30 = 9000 4. 68 544

4. 68 684

4. 68 584

4, 68 58$ 

4. 68 685
116 GEOGKAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 18. 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

i 945

1 946

947

' 948

! 949

1 950

 N.

L. 0 1 2 3 4

95 424 429 434 439 444

472 477 482 48? 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

904 909 914 918 923

952 957 901 906 971

999 *004 *009 *014 *019

96 047 052 057 061 066

095 099 104 109 .114

142 147 152 156 161

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

'. 45i 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 i 3 4 '

5 6789

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 fS85 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 71 175 180 185

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 j576 881 886 890

918 923 928 932 937

965 ()70 974 979 984

*011 #016 *021 *025 *030

058 063 067 072 077

104 109 114 118 123

151 155 160 165 369

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 52? 534 539

566 571' 575 580 585

612' 617 621 626 630

658 663 667 672 676

704 708 713 717 722

749 754 759 763 768

795 800 804 809 813

5 "

2° 30' = 9000" S. 4. 68 544 T. 4. 68 585

2 31 = 9060 4. 68 544 4. -68 585

2 32 = 9120 4. 68 543 4. 68 586

2 33 = 9180 4. 68 543 4. 68 586

; 2 34 =9240 4. 68 543 4. 68 587

'6-7 8 9

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

I

1 0,4

2 0,8

3

1 9

J.,^

4 1,6 

5 2,0

6 2,4

7

O Q

//o 

80 n

O/Z

9 3,6

- P. P.

2° 35' = 9300" S. 4. 68 543 T. 4. 68 587

2 36 = 9360 4. 68 543 4.- 68 587

2 37 = 9420 4. 68 542 4. 68 588

2 38 = 9480 4. 68 542 4. 68 588

2 39 = 9540 4. 68 542 4. 68 588
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 117 

TABLE 18. Five-place logarithms of natural numbers Continued.

N.

950

951 

952 

953

954 

955 

956

957 

958 

959

9CO

961 

962 

963

964 

965 

966

967 

968 

969

»70

971 

972 

.973

974 

975 

976

977 

978 

979

1)80

981 

982 

983

984 

985 

986

987 

988 

989

1)90

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 OQ5 009 014 019 

046 050 055 059 064

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 

453 467 462 466 471 

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 

520 624 628 533 637

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

oo ooo oat 009 013 017

L. 0 1 2 3 4

56789

795 800 804 809 813

841 845 850 855 859 

886 891 896 900 905 

932 937 941 946 950

978 982 987 991 996 

023 028 032 037 041 

068 073 078 082 087

114 118 123 127 132 

159 164 168 173 177 

204 209 214 218 223

250 254 259 263 268

295 299 304 308 313 

840 345 349 354 358 

385 390 394 399 403

430 435 439 444 448 

475 480 484 489 493 

520 525 529 534 538

565 570 574 579 583 

610 614 619 623 628 

655 659 664 668 673

700 704 709 713 717

744 749 753 758 762 

789 793 798 802 807 

834 838 843 847 851

878 883 887 892 896 

923 927 932 936 941 

967 972 976 981 985

#012 *016 *021 *025 *029 

056 061. 065 069 074 

100 105 109 114 118

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 

498 502 506 511 515 

542 646 650 555 559

585 690 594 599 603

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 

978 '983 987 991 996

022 026 030 035 039

66789

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° 38' = 9480" S. 4. '68 542 T. 4. 68 588 2° 43'= 9780" S. 4. 68 541 T. 4. 68 590 

2 39 = 9540 4. 68 542 4. 68 588 2 44 = 9840 4. 68 541 4. 68 590 

2 40 =9600 4. 68 542 4. 68 689 2 45 = 9900 4. 68 641 4. 68 591 

2 41 =9660 4. 68 542 4. 68 589 2 46 = 9960 4. 68 541 4. 68 591 

2 42 =9720 4. 68 541 4. 68 590 2 47 =10020 4. 68 540 4. 68 592
118 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

Formula for using quantities /S and T: 

log sin a = log a" + S. 

log tan a = log a" + 7". 

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)" + 8.

log cot a = log (90° - a)" + T.

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

log (90° - a)" = log cos a 8= log cot -a - T.
GANNETT.] GEOGRAPHIC TABLES AND FOKMULAS. 119

TABLE 19. Five-place logarithms of circular functions, expressed in arc and time. 

0" 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

51 

52 

53

54

55 

56 

67 

68 

69

60

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 

7.69417 

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 . 

7.99 620

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 

6115 

4576

4139 

3779 

3476 

3218

OQQ7

2802 

2633 

2483 

2348

9997

2119

2021 

1930 

1848 

1773

1704 

1639 

1579 

1524

1424 

1379 

1336 

1297 

1259

1223 

1190 

1158 

1.128 

1100

1072 

1046 

1022 

999

954 

934 

914 

896

860 

843 827 : 

812

782 

769 

755 

743 

730

d.

L. Tang.

6.46 373 

6.76476 

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 

7.71 900 

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 88? 

7. 98 225 

7. 99 622

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

QflQI

7918 

6694 

5800 

5115 

4576

4139 

3779 

3476 

3219 

2996

2803 

2633 

2482 

2348

OOOQ

2119 

2020 

1931 

1848

177O

1704 

1639 

1579 

1524

1473

1424 

1379 

1336 

1297

1259

1223 

1190 

1159 

1128

1100

1072 

1047 

1022 

998

955 

934 

915 

895

860 

843 

828 

812

797

782 

 769 

756 

742

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. 12 129 

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 9% 

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. 79 687 

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 99$ 

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 

57 

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

59 20 

10 

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 

56 

52 

48 

44

56 40 

36 

32 

28 

24

66 20 

16 

12 

8 

4

56 0

m. s.

89C 5h
120 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

Qh JO

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 b 

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 

1?

. 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. '

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

/"7Q

663 

653 

644 

634

624

616 

608 

599 

590

575 

568 

560 

553

' 539 

533 

526 

520

514

508 

502 

496 

491

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. 26 996

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. 46 817 

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 

8.5] 696 

8. 52 079

8:52 459 

8.52 835 

S..53 208 

8. 53 5^8 

8. 53 945

8. 54 308

L. Cotg.

o. d.

718 

706 

696 

684

663 

654 

643 

634

617 

607 

599 

591

575 

568 

561 

553

540' 

533 

527 

520

514

509 

502 

496 

491

480 

475 

470 

464

455 

450 

446 

441

437

432 

428 

424 

420

412

408- 

404 j. 

401,

393 

390 

386 383'

376 

373 

370 

367,

c. d.

' L. Cotg.

1.75 808 

1. 75 090 

1. 74 384 

3.73 688 

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 

i 1.50 675 

i'1.50 271 

'.1.49.870

:.'1.49 473 

' 1.49 080 

' 1. 48 690 

: 1. 48 304 

. 1 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. 99 988 

9. 99 987 

9. 99 987

9.-99 987 

9..99 986 

9. 99 986 

9. 99 986 

9. 99 9&5

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 9§1 

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 

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

i

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 

L 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.

88 C
GANNETT.] QEOGRAPHEC TABLES AND FOEMULAS. * 121 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

0" 2°

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 

38 

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 

54

55 

56 

57 

 58 

59

<iO

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. CO 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

8.133 968 

8. 64 25C 

8.64 543 

8. 64 827 

8. 65 110

3. 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

332 

330 

328 

' 325

320 

318 

316 

313 

311

309 

307 

305 

302

298 

296 

294 

293

OQA

288 

287 

284 

283

OU1

279 

277 

276 

' 274 

272

270 

269 

267 

266 

263

263 

260 

259

258 ORf*

254 

253 

252 

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 

8.60068 

8. 60 384 

8. 60 698

8. 61 009 

8. 61 319 

8.61 626 

8. 61 931 

8. 62 234

8. 62 535 

8. 62 834 

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. 66 816 

8. 67 087 

' 8. 67 35C 

8.C7 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

321 

319 

316 

314 

311

310 

307 

305 

303 

301

299 

297 

295 

292

OQ1

289

287 

285 

284

Oft!

280 

278 

276 

274

970

271 

269 

268 

266 

264

263 

261 

260 

258

OfV7

255 

254 

252 

251

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 

1.42 886 

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. 34 285 

1.34 007 

1. 33 731 

1.33 457

1.33 184 

1. 32 913 

1. 32 644 

1.32 376 

1.32 110

1.31 846 

1.31 583 

1. 31 322 

1. 31 062 

. 1. 30 804

1. 30 547 

1. 30 292 

1. 30 038 

1.29 786 

1. 29 535

1. 29 286 

1.29 038 

3 . 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. 99 969

9. 99 969 

9. 99 968 

9.99 968 

9. 99 967 

9. 99 967

9. 99 967 

9i 99 966 

9. 99 966 

9. 99 965 

9. 99 964

9. 99 964 

9. 99 963 

9i 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

65 

64 

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 

]7 

16

35 

14 

13 

12

n

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

52 0 

56 

62 

48 

44

51 40 

36 

32 

28 

24

51 20 

16 

12 

8 

4

51 0 

66 

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 

1C 

12 

8 

4

48 0

m. s.

87 C 5h
122 GEOGRAPHIC TABLES AHD FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

Ou 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 

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

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.

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 57£ 

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

234 

232 

232 

230

228 

226 

226 

224

222 

220 

220 

219

217

216 

216 

214 

213

212

211 

210 

209 

208

208

206 

205 

204 

203

201 

201 

199 

199

197 

196 

195 

194

192 

192 

190 

130

188 

187 

187 

186

185

184 

183 

183 

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. 74 292 

8. 74 521 

8. 74 748 

8. 74 974 

8. 75 199

8. 75 423 

8. 75 645 

8.75867 

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

234 

234 

232 

231

229 

227 

226 

225

222 

222 

220 

219

217 

216 

215 

214

211 

211 

210 

209

206 

206 

205 

204

202 

201 

201 

199

198 

196 

196 

195

193 

192 

192 

190

j.yu

189 

188 

188 

186

185 

184 

184 

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

9.99929 

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.P9 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 

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 

3.1

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 :

i

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.
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 123 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

Oh 4°

11V. 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

1« 0 

4 

8 

12 

16

18 20 

24 

28 

82 

36

18 40 

44 

48 

52 

66

19 0 

4 

8 

12 

16

19 20 

24 

28 

32 

36

19 40 

44 

48 

52 

66

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

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

59

GO

L. Sin.

8. 84 358 

8.84 539 

8.84718 

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. 88 326 

8. 88 490

8.88 654 

8. 88 817 

8.88 980 

8.89 142 

8. 89 304

8.89-464 

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 

8.91 602 

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 

176 

175 

17!J

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 

164 

153 

153 

152

152 

151 

161 

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. 85 363 

8. 85 640 

8. 85 717 

8. 85 893 

8. 86 069

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 

8.88453 

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 

8.92565

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.

c. d.

182 

180 

180. 

179 

178

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

162 

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 

1. 14 460 

1. 14 283 

1. 14 107 

1. 13 931

1.13 757 

1.13 583 

1. 13 409 

1. 13 237 

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. 19 889 

1. 10 726 

1. 10 563

1. 10 402 

1.10 240 

1. 10 080 

1.09 920 

1.09 760

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 

1.00 391 

1.06 244 

° 1. 06 097 

1. 05 951

1. 05 805

L. Tang.

L. Cos.

9. 99 894 

9. 99 893 

9.99 892. 

9. 99 891 

9. 99 891

9. 99 890 

9. 99 889 

9 99 ggg

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 

9.99879 

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. 99 852

9. 99 851 

 9. 99 850 

9. 99 848 

9. 99 847 

9. 99 846

9. 99 845 

9. 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.

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

J{0

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

JT

/

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 20 

16 

12 

8 

4

42 0 

66 

62 

48 

44

41. 40

36 

32

28 

24

41 20 

16 

12 

8 

4

41 0 

56 

52 

48 

44

40 40 

30 

32 

28 

24

40 20 

10 

12 

8 

4

40 0

m. s.

85C 5h
124 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

0" 5°

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

3 

4

5 

 6 

7 

8 

9

10

11 

12 

13 

14

15 -16 '17 

18 

19

20

21 

22 

23 

24

25; '861 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 57 

59

60

L. Sin.

8. 94 030 

8.94 174 

8. 94 317 

8. 94 461 

8.94 603

8. 94 746 

8. 94 887 

8. 95 029 

8. 95 170 

8. 95 310

8. 95 450 

8. 95 589 

8. 95 728 

8. 95 867 

8. 96 005

8. 96 143 

8. 96 280 

8. 96 417 

8. 96 553 

8.96 689

8.96 825 

8.96 960 

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 4.19 

8. 98 549 

8. 98 679

8. 98 808 

8. 98 937 

8. 99 066 

8. 99 194 

8. 99 322

8. 99 450 

8. 99 577 

8. 99 ^704 

8. 99 830 

8. 99 956

9. 00 '082 

9. 00 207 

9.00 332 

9. 00 456 

9. 00 581

9. 00 704 

9. 00 828 

9. 00 951 

9. 01 074 

9.01 196

9. 01 318 

9. 01 440 

. 9. 01 561 

9.01 682 

9.01 803

9.01 923

L. Cos.

'd.

144 

,143 

144 

142 

143

141

141 

140 

140

139 

139 

139 

138 

138

137 

137 

136 

136 

136

135 

135 

134 

134 

133

133 

138 132' 

132' 

131

131 

131, 

130 

130 

129

129 

129 

128

128

127 

127 

126 

126 

126

124 

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. 95 627 

8. 95 767 

8. 95 908 

8. 96 047 

8.96 187

8. 96 325 

8. 96 464 

. 8. 96 602 

8. 96 739 

8. 96 877

8. 97 013 

8. 97 150 

 8. 97 2S5 

8.97 421 

8. 97 556

8. 97 691 

8. 97 825 

8. 97 959 

8. 98 09? 

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. 99 662 

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

144

143 

142 

142 

142 

141

140 

141 

139 

140 

138

139 

138 

137 

138 

136

137 

135 

136 

135 

135

134 

134 

133 

133 

133

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. 04 092 

1. 03 953 

1. 03 813

1. 03 675 

1.03 536 

1, 03 398 

1. 03 261 

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 07Q 

- 0. 98 945 

0. 98 821 

0. 98 697 

0. 98 5.73

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. 99 822 

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' 

9.99807

9. 99 8.06', 

', 9, §9/804] 

.'9. 99, 803! 

 9.99 802 1 

9. 99. 801

9. 99 800 ' 

9. 99 798 

. 9. 99 797 

9. 99 796 

9. 9ft 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. 99 768 

9. 99 767 

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 

u,36

;|j

:;,32 !

.'31-

.30

29 '28 

'27 

26

25 24' 

23 

22 

21

20

18 

17 

.16

15 

14 

13 

12 

11

10

9 ' 8 

'7 

6

5 

4 

3 

2 

1

0

'

40 0 

66 

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 '

i 12 

8 ; 

.;. 4

38 ^ 0 

56 

^ 52 

: 48 

.I 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

in. s.

84C 5h
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 125 

TABLE 19. Mve-p'lace logarithms of circular functions, etc. Continued. 

Oh 6°

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 

38 

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

80

31 

32 

33 

34

35 

36 

37 

.38. 

.39

40

'42 41 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

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 60? 

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. 06 689 

 9. 06 696 

, 9. 06 804 

j.9.06 911

' 9. 07 018 

! 9. 07 124 

9.07 231. 

9. 07 337 

9. 07 442

9. 07 548 

1 9. 07 653 

: 9. 07 758 

1 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 

llti 

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.

!

d:

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. 04 181 

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. 06 335 

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 

1 121 

121 

120 

121

119 

120 

119 

118 

119

118 

118 

117 

118 

116

117 

116 

116 

116 

115

115 

115 

115 

114 

114

113 

114 

113 

112 

113

112 

112 

112 

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

0.95472 

0. 95 357 

0. 95 242 

0. 95 127 

0. 95 013.

0. 94 899 

0.94 786 

0. 94 672 

0.94 659 

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 

5.99 724 

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.

00

59 

58 

57 ' 56

55 

54 

53 

62 

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

/

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.

83C
126 GEOGKAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

0h 70

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 

52 

56

31 0 

4 

8 

12 

16

31 20 

24 

28 

32 

36

31 40 

44

48 

52 

56

82 0

/

0

1 

2 

3 

4

5 

6 

7 

8 

9

10

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 

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 

9.09304 

9. 09 405 

9. 09 506

9. 09 606 

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. 10 795 

9. 10 893 

9. 10 990

9. 11 087 

9.11 184 

9. 11 281 

9. 11 377 

9. 11 474

9. 11 570 

9.11 666 

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 

9.09 640 

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 

102

102 

101 

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 

0.90258 

0. 90 155

0. 90 053 

0. 89 951 

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 

0.88845 

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 

9.99 677

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 

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.

82C
GANNETT.] GEOGRAPHIC TABLES AND FOKMULA.S. 127 

TABLE 19. Five-place loyarithms of circular functions, etc. Continued. 

Ou 8°

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 

62 

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

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 

56 

57 

58 

69

00

L. Sin.

9.14 356 

9. 14 445 

9. 14 635 

9. 14 624 

9. 14 714

9. 14 803 

9. 14 891 

9.14 980 

9. 15 069 

9. 15 157

9. 15 245 

9.15333 

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. 1.7 973 

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 

90 

89 

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

Qrt

d.

L. Tang.

9. 14 780 

9. 14 872 

9. 14 963 

.9. 15 054 

9. 15 145

9. 15 236 

9. 15 327 

9.15417 

9. 15 508 

9. 15 598

9. 15 688 

.9.15 777 

9. 15 867 

9.15 956 

9.16 046

6. 16 135 

9. 16 224 

9. 16 312 

9. 16 401 

9. 16 489

9. 16 577 

9. 16 665 

9. 16 763 

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 88Q 

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 i'O 

'90 91 

90

89 

90 

89 

90 

89

89

88 

89 

88 

88

88 

88 

88 

87 

88

87 

87 

87 

86 

87

86 

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 

82on

c. d.

L. Cotg.

0. 85 220 

0.85 128 

0. 86 037 

0.84 946 

0.84855

0.84 764 

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 C88 

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 8?7 

0. 82 810 

0.82 723 

0.82 637

0.82 550 

0.82 464 

0. 82 378 

0. 82 292 

0. 82 206

0. 82 120 

0. 82 035 

0.81 949 

0.81 864 

0.81 779

0.81 694 

0.81 609 

0. 81 525 

0. 81 440 

0.81 356

0.81 272 

0.81 188 

0.81 104 

0.81 021 

0. 80 937

0. 80 854 

0. 80 771 

0.80 688 

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. 99 568

9.99 566 

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. 99 466 

9. 99 464

9. 99 462

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 

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

 '

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 

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.
128 GEOGKAPHIC TABLES AND FOKMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

Oh 9°

m. s.

36 0 

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 ~io"

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. 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 

76 

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. 20 540 

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 

81 

. 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. 78 601

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. 99 368 

. 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

1 9. 99 335

L. Sin.

60

59 

58

57 

56

55 

54 

53 

52 

51 ~5<F

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

'

24 0 

56 

52 

48 

44

23 40 

36 

32 

28 

24

23 20 

16 

12 

8 

4

23 0 

66 

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 

36 

32 

28 

24

20 20 

16 

12

8 

4

20 0

m. s.

80C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 129 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

Oh 10°

in. s.

40 0 

4 

8 

12 

16

40 20 

24 

. 28 

32 

36

40 40 

44 

48 

52 

50

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 

2-1 

28 

32 

36

42 40 

44 

48 

62 

56

43 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

1.6

16 17' 

18 

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 

54

55 

56 

57 

58 

59

«0

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 

9.26 131 

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

71 

70 

70 

70

70

70 

70 

69 

70

69 

69 

69 

69

69

69 

68 

69

68

68 

68 

. 68 

08

67 

68 

67 

67

67

67 

67 

67 

67

67 

66 

67 

66

06 

66 

65 

66

65 

65 

66 

65

65

Cl.

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. cl.

74 

73 

74 

7374'

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

70 

69 

69 

.69

69 

69 

69 

68

68 

69 

68 

68 

68

68 

67 

68 

68

c. cl.

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. 74 129 

0. 74 05? 

0. 73 985

0. 73 914 

0. 73 842 

0. 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. 71 135

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 21.2 

9. 99 209

9. 99 207 

9. 99 204 

9. 99 202 

' 9. 99 200 

9.99 197

9. 99 195

L. Sin.

cl.

2 

2 

3 

2

2

2 

3 

2 

2

2

3 

2 

2 

2

2 

2 

3 

2

2

2 

3 

2 

2

2 

2 

3

2

2

3 

2 

2 

3

3 

2 

2 

3

2

2 

3 

2 

3

2 

3 

2 

3

2 

3 

2 

3

2

3 ' 2 

2 

3

2

d.

«0

59 

58 

57 

56

65 

54 

63 

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

5 

4 

3 

2 

1

0

'

>20 0 

56 

52 

48 

44

19 4.0 

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 

66 

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

10 20 

16 

12 

8 

4

1.6 0

111. S.

79C 5h

Bull. 214 03-
130 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Contmued. 

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

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

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 

9.28833 

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

64 

64 

65 

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

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. 32 185 

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

66 

67 

66 

. 66

66 

66 

66 

66

65

66 

65 

65 

66

65 

65 

65 

65

65 

64 

65 

.64

65 

64 

64 

64

63 

64 

63 

64

64 

63 

63 

63

63 

63 

63 

62

*?o

-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. 70 134 

' 0.70068 

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. 68 448 

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. 99 195 

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 

9.99165 

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

3

2 

3 

2

o

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

2

3 

3 

2 

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 

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

'

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 

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

m. s.

78C
GANNETT.] GEOGKAPHIC TABLES AND FOEMDLAS. 131

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

Oh 12°

m. s.

48 0 

4 

8 

12 

16

48 20 

24 

28 

32 

36

48 40 

44 

48 

52 

56

49 0 

4 

S 

12 

16

49 20 

24 

28 

32 

30

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 

10

51 20 

24 

28 

32 

36

5.1 40 

44 

48 

52 

56

62 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

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. 33 302 

9. 33 420 

9. 33 477

9.33 534 

9. 33 591 

9. 33 047 

9. 33 704 

9. 33 761

9. 33 818 

9. 33 874 

9. 33 931 

9. 33 987 

9. 34 043

9. 34 100 

9.34 150 

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

50 

57 

56 

50 

57

50 

60 

56 

50 

56

56 

55 

56 

55 

50

55 

50 

65 

55 

55

55 

65 

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 11 9 

9.33 130 

9. 33 242 

9.33 303

9. 33 365 

9. 33 426 

9. 33 487 

9. 33 648 

9. 33 009

9. 33 670 

9.33 731 

9. 33 792 

9. 33 353 

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. 34 390 

9. 34 456 

9. 34 516

9.34 576 

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. 85 405

9. c!5 404 

9. 35 523 

9. 35 581 

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. 30 105 

9. 30 103 

9. 30 221 

9, 36 279

9. 36 336

L. Cotg.

c. d.

63 

02 

01 

02 

62

62 

61 

62 

61 

62

01 

01 

01 

61 

61

61 

61 

01 

GO 

61

60 

61 

60 

60 

61

60 

.00 

60 

60 

60

59 

60 

60 

59 

60

59 

59 

59 

00 

59

59 

59 

59 

58 

59

59 

58 

59 

58 

59

58 

68 

58 

68 

58

58 

58 

58 

58 

57

c. d.

L. Cotg.

0. 07 253 

0. 67 190 

0. 67 128 

0.67 067 

0. 67 005

0. CO 943 

0. 66 881 

0. 66 820 

0. 66 758 

0. 66 697

0.66 635 

0. 66 574 

0.66 513 

0.60 452 

0. 60 391

0. 06 330 

0. 66 269 

0. 66 208 

0. 66 147 

0. 60 087

0. 66 026 

0. 05 906 

0. 65 905 

0. 65 845 

0. 65 785

0.65 724 

0. 65 664 

0. 65 604 

0. 65 544 

0. 65 484

0. 65 424 

0. 65 365 

0. 65 305 

0. 65 245 

0. 05 186

0.65 126 

0. 05 007 

0. 65 008 

0.64 949 

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 

9.99038 

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. 98 980 

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. 98 890 

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.

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49 

48 

47 

40

45 

44 

43 

42 

41

40

39 

38 

37 

30

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

'

12 0 

56 

52 

48 

44 

11 40 

36 

32 

. 28 

24

11 20 

16 

12 

8 

4

11 0 

50 

. 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 

10 

12 

8 

4

8 0

in. s.

77°
132 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.' 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

Oh 13°

111. 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,

66 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- 

1 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. 35 536 

9. 35 590 

9. 35 644 

.9.35 698

9. 35 752 

9. 35 806 

9. 35 860 

9. 35 914 

9.35968

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 1&5 

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 

64 

54 

54 

54

53 

54 

53 

54 

53

53 

53 

54 

53 

53

53 

52 

53 

53 

53

52 

53 

52 

52 

53

52 

52 

52 

52 

52

52 

52 

 52 

52 

 61

52 

51 

52 

51 

52

51 

51 

51 

51 

51

51 

51 

51 

51 

51

d.

L. Tang.

9. 36 336 

9. 36 394 

9.30 452 

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. 37 588 

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. 38 091 

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 

0.62 681

. 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. 61 577 

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.

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

'

8 0 

' 56 

52 

48 

44

7 40 

36 

32 

28 

24

7 20 

16 

12 

S 

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 

48 

44

4 40 

36 

32

28 

24

4 20 

16 

12 

8 

4

4 0

m. s.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 133 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

0" 14°

111. 8.

60 0 

4 

8 

12 

IB

56 20 

24 

28 

82 

36

56 40 

44 

48 

52 

56

67 0 

4 

8 

12 

16

57 20 

24 

28 

32 

36

57 40 

44 

48 

62 

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 

82 

86

59 40 

44 

48 

52 

56

00 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 

30 

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:

9. 38 368 

' 9. 38 418 

9. 38 469 

9. 38 519 

9. 38 670

9. 38 620 

9. 38 670 

9. 38 721 

9.38771 

9.38 82 L

9. 38 873. 

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. 39 309 

9. 39 418 

9. 39 467 

9. 39 617 

9. 39 560

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. 40 006 

9. 40 055

9. 40 103 

9. 40 '162 

9. 40 200 

9.40 249 

9. 40 297

9. 40 340 

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 

9.41 010

9.41 063 

9.41 111 

9.41 158 

9.41 205 

9. 41 252

9.41 300

L. Cos.

d.

50 

51 

60 

51

50

50 

51 

60 

50

60 

50 

50 

50 

60

49 

60 

60 

49

49 

49 

60 

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 

47 

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 

9.40 425

9. 40 478 

9.40531 

9. 40 584 

9. 40 636 

9. 40 089

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. 11 260 

9.41 818 

9. 41 370 

9.41 422 

9. 41 474

9.41 526 

9.41 578 

9. 41 629 

9. 41 081 

9.41 733

9.41 784 

9.41 830 

9. 41 887 

9.41 939 

9.41 990

9. 42 041 

9. 42 093 

9.42 144 

9.42 195 

9.42 240

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 

64

54 

53 

64 

53

54 

63 

53 

63 

53

53 

53{'.2

53 

r,o

53 

52 

53 

52 

53

52 

52 

52 

 53

52

. 52 

52 

52 

52 

52

52 

51 

52 

62 

51

52 

51 52' 

51 

61

52 

51 

51 

51

61 

51 

51 

51 

51

61 

50 

51 

61 

50

c. d.

L. Cotg.

0. 60 323 

0. 60 269 

0. 60 215 

0. 60 162 

0. GO 108

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. 59 028 

0. 59 575

0. 59 522 

0.59 469 

0.59 416 

0. 69 364 

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. 68 780

0.58 734 

0.58 682 

0. 58 630 

0. 58 578 

0. 58 526

0.58 474 

0. 58 422 

0. 68 371 

0. 68 319 

0. 58 267

0. 58 210 

0. 58 164 

0. 58 113 

0. 58 001 

0. 58 010

0.57 959 

0. 57 907 

0.57 856 

0. 57 805 

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. 98 081 

9. 98 078

9. 98 675 

9. 98 671 

9. 98 668 

9. 98 665 

9.98 662

9. 98 659 

9. 98 656 

9. 98 652 

9. 98 649 

9. 98 646

9. 98 643 

9. 98 640 

9. 98 636 

9. 98 633 

9. 98 630

9. 98 027 

9. 98 '623 

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. 98 671 

9. 98 668 

9. 98 565

9. 98 501 

9. 98 658 

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. 98 525 

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 

4 

3 

3

3 

4 

3 

3

4 

3 

3 

3

3 

3 

3 

4

3 

3 

4 

3

4 

3 

3 

3 

4

3 

3 

4 

3

4 

3 

3 

4

3 

4 

3 

3 

4

3 

3 

4 

3

d.

60

59

. 58 

67 

50

55 

54 

63 

52 

51

50'49 

48 

47 

46

45 

44 

43 

42 

41.

,i° '39

38 

37 

36

35 

34 

33 32- 

31

ISO

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 

1.2 

8 

4

3 0 

56 

52 

48 

44

2 40 

36 

32 

28 

24

2 20 

16 

12 

8 

4

2 0 

50 

62 

48 

44

1 40 

30 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

m. s.

75°
134 GEOGKAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 15°

0 0

4 ' 8 

12 

36

0 20 

24 

28 

32 

36

0 40 

44 

48 

53 

56

1 0 

4 

8 

12 

1C

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

61 V 52 

53 

54

55 

56 

57 

58 

59

GO

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

47

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

45 

45 

. 45 

44

45

44 

45 

44 

45 

44

44" 

44 

45 

44 

44

d.

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 

9.44 830 

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

ou

51 

50 

50 

50

50

50 

50 

50 

50

O\J

49 

50 

50 

49

49 

50 

49 

50

49 

49 

50 

49

49 

49 

49 

49

48 

49 

49 

 48

49

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 0-16 

0. 56 996

0. 55 947 

0. 65 898 

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. 55 408 

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. 64 778

0. 54 729 

0.54 681 

0.54 633 

0. 54 585 

0. 54 537

0. 54 489 

0. 54 441 

0. 54 394 

0. 64 346 

0.54 298'

0.54 250

L. Tang.

9. 98 494 

9. 98 491 

9. 98 488 

9. 98 484 

9.98481

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 

9.98 435 

9. 98. 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. 98 362 

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 

3

4 

3 

4 

3

3

4 

3 

4 

3 

4

3 

4 

3 

4

3 

4 

3 

4

4 

3 

4 

3

4 

3 

4 

3

3 

4 

4 

3

3 

4 

4 

3

d.

60

59 

58 

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

ao-29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

16

15 

]4 

33 

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 

66 

62 

48 

44

57 40 

36 

32

28 

24

57 20 

16 

12

8 

4

57 0 

56 

52 

48 

44

56 40 

36 

32 

28 

24

66 20 

' 16 

12 

8 

4

56 0

in. s.

74C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 135

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 16°

m. s.

4 0 

4 

8 

12 

JO

4 20 

24 

28 

32 

30

4 40 

44 

48 

52 

50

6 0 

 4 

8 

12 

10

5 20 

24 

28 

32 

36

5 40 

44 

48 

52 

5C

.0 0 

4 

8 

12 

10

0 20 

24 

28 

32 

30

0 40 

44

' 48 

52 

50

7 0 

4 

8 

12 

10

7 20 

24 

28 

32 

30

7 40 

44 

48 

52 

50

8 0

'

0

1 

2 

3 

4

5 

0 

7 

8 

9

10

11 

12 

13 

14

15 

1C 

17 

18 

19

20

21 

22 

23 

24

25 

20 

27 

28 

29

so

31 

32 

33 

34

35 

30 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

50 

57 

58 

59

00

L. Sin.

9. 44- 034 

9. 44 078 

9.44 122 

9. 44 160 

9. 44 210

9. 44 253 

9.44 297 

9.44 341 

9.44 385 

9. 44 428

9. 44 472 

9. 44 510 

9.44 559 

9. 44 002 

9. 44 640

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 

9.45 200 

9. 45 249 

9. 45 292

9. 45 334 

9.45 377 

9. 45 419 

9. 45 402 

9. 45 504

9. 45 547 

9. 45 589 

9. 45 032 

9. 45 074 

9. 45 710

9.45758 

9.45 801 

9. 45 843 

9. 45 885 

9. 45 927

9. 45 969 

9.46 Oil 

9. 46 053 

9. 46 095 

9. 46 136

9.46 178 

9. 46 220 

9. 46 202 

9. 46 303 

9. 46 345

9. 46 380 

9. 40 428 

9. 40 469 

9. 46 511 

9. 40 652

9.40 594

L. Cos.

d.

44

44 

44 

44 

43

44 

44 

44 

43

44 

43 

43 

44 

43

44 

43 

43 

43 

43

43 

44 

43 

42 

43

43 

43 

43 

43

42

43 

42 

43 

42 

43

42 

43 

42 

42 

42

43 

42 

42 

42

42 

42 

42 

41 

42

42 

42 

41 

42 

41

42 

41 

42 

41 

42

d.

L. Tang.

9. 45 750 

9. 45 797 

9. 46 845 

9. 45 892 

9.45 940

9. 45 987 

9. 40 035 

9.40 082 

9.40 130 

9. 40 177

9. 40 224 

9. 40 271 

9. 46 319 

9.46 300 

9. 46 413

9. 46 460 

9. 40 507 

9.40 554 

9. 40 001 

9. 46 048

9.40 694 

9.46 741 

9.46 788- 

9.40 8&5 

9. 40 881

9. 46 928 

9.46 975 

9.47 021 

9.47 068 

9.47 114

9.47 100 

9.47 207 

9. 47 253 

9.47 299 

9. 47 340

9.47 392 

9.47 438 

9. 47 484 

9. 47 530 

9.47 570

9. 47 022 

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 

48 

47 

47 

47

47 

47 

47 

47 

46

47 

47 

47 

40 

47

47 

40 

47 

40 

46

47 

46 

40 

47 

40

46 

46 

46 

46 

46

40 

40 

46 

46

45 

40 

40 

40 

45

46 

45 

46 

45 

45

40 

45 

45 

46 

46

c.d.

L. Cotg.

0. 54 250 

0. 54 203 

0. 54 155 

0.54 108 

0. 54 060

0. 54 013 

0. 53 905 

0. 53 918 

0. 53 870 

0. 53 823

0. 53 770 ' 

0. 63 729 

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. 52 979 

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. 52 280 

0. 52 240 

0. 62 194

0. 52 148 

0.52 103 

0. 52 057 

0.52 Oil 

0.61 965

0.51 920 

0.51 874 

0.51 829 

0.61 783 

0.51 738

0.51 693 

0. 51 047 

0. 61 602 

0.51 557 

0.61 511

0.51:460

L. Tang

L. Cos.

9. 98 284 

9. 98 281 

9. 98 277 

9. 98 273 

9. 98 270

9.98 206 

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 

9.98 220 

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. 98 100 

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. 98 007 

9. 98 003

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

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 

4 

4 

4 

3

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

80

29 

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

17 

10

15 

14 

13 

12 

11

10

9 

8 

7 

6

5 

4 

3 

2

1

0

'

50 0 

50 

' 52 

48 

44

55 40 

30 

32 

28 

24

55 20 

16 

12 

8 

4

55 0 

56 

52 

48 

44

54 40 

36 

32 

28 

24

54 20 

1C 

12 

8 

4

54 0 

56 

52 

48 

44

53 40 

36 

32 

28 

24

53 20 

16 

12 

8 

4

63 0

60 

52 

48 

44

52 40 

30 

32 

28 

24

52 20 

10 

12 

8 -4

Si 0

m. s.

73°
136 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 1.9. Fhie-place logarithms of cirmlar functions, etc. Continued.

lh ' 17°-

m. s.

8 0 

4 

8 

12 

10

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 

62 

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 

66

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

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

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. 47 209 

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. 48 213 

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.

.A.

41 

41 

4.1. 

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

OQ

40 

39 

39 

39 

39

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. 49 207 

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 

9.50 130 

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 

9.50833 

9. 50 876 

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

/l^

45 

44 

45 

45 

44

45 

44 

45 

44 

 45

44 

45 

44 

44 

45

44 

44 

44 

44 

44

44 

44 

44 

44

44 

44 

43 

44

44 

43 

44 

43 

44

.44 

44 

43 

44 

43

43 

44 

43 

43 

d^

43 

43 

44 

' 43 

43

C.d.

L. Cotg.

0.51. 466 

0.51 421 

0.51. 376 

0.51. 331. 

0. 51 2$C

0. 61 241 

0.51 196 

0.51 151 

0.51 106 

0. 51 001

0.51 016 

0. 50 971 

0. 50 927 

0.50 882 

0. 50 837

0..50 793 

0.50 748 

0. 60 704 

0. 50 659 

0.50 615

0. 50 570 

0. 50 526 

0. 50 481 

0. 50 437. 

0. 50 393

0. 50 348 

0.50 301 

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 86$

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. 98 001 

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

9.97 942 

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 

4 

3 

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 

4 

4 

5

4 

4 

4 

4

4

4 

4 

4

4

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

!iO

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 

50 

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
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 137 

TABLE 19. .Five-place logarithms of circular funct'ions, etc. Continued.

lh 18°

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 

30

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 

66

16 0

'

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

:to

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. 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. 50 201 

9. 50 298

9. 50 336 

9. 50 374 

9. 50 411 

9. SO 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. £0 821 

9. 50 858

9. 50 896 

9. 50 933 

9. 50 970 

9. 51 007 

,9. 51 043

9. 51 080 

9.51 117 

9.51 154 

9.51 191 

9. 51 227

9. 51 264

L. Cos.

d.

39 

39 

39 

38 

39

39 

38 

39 

39

38

39 

38 

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

(3.

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. 51 503

9. 51 606 

9.51 648 

9. 51 691 

9. 51 734 

9.51 776

9. 51 819 

9.5.1 861 

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 2a=i 

9. 53 327 

9. 63 368 

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.d.

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.d.

L. Cotg.

0. 48 822 

0. 48 779 

0. 48 736 

0. 48 694 

0. 48 651

0. 48 608 

0. 48 665 

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. 97 693

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 

4 

5 

4

4 

4 

5 

4 

4

4

5 

4 

4 

5

4 

4 

5 

4 

4

5 

4 

4 

6 

4

d.

(iO

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.

71C
138 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 19°

m. s.

1C 0 

4 

8 

12 

16

1C 20 

24 

28 

32 

36

16 40 

44 

48 

52 

66

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

i

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 

2G 

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. 61 264 

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 

9.61 702 

9. 51 738 

9. 51 774

9.51 811 

9. 51 847 

9. 51 883 

9.51 919 

9.51 955

9. 51 991 

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 C69

9. 52 705 

9. 52 740 

9. 52 775 

9. 52 811 

9. 52 840

9. 52 881 

9.52 916 

9. 52 951 

9. 52 986 

9. 53 021

9. 53 050 

9. 53 092 

9. 53 126 

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 

30 

37 

36

37 

36 

37 

36 

36

37 

36 

30 

30 

37

36 

36 

36 

36 

30

36 

36 

30 

30 

3G

36 

35 

30 

30 

30

35 

30 

35 

 36 

35

36 

35 

36 

35 

36

35 

35 

36 

'3535 

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. 63 779 

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. 54 350 

9. 54 390 

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 

9.54 955 

9. 64 995. 

9. 55 Oa5 

9. 55 075

9. 65 115 

. 9. 55 155 

9.55 195 

9. 55 235 

9. 55 275

9.55 3] 5 

9. 55 355 

9. 55 395 

9. 55 434 

9.55 474

9.55 514 

9. 55 554 

9. 55 593 

9. 55 633 

9.55 073

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. 50 028 

9. 56 007.

9.56 107

L. Cotg.

c. 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. 46 202 

0. 40 221 

0. 46 180 

0. 46 139

0. 46 098 

0. 46 057 

0. 40 010 

0. 45 975 

0.45935

0.45894 

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. 45 200 

0.45 106 

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 

0.44 307 

0.44327

0. 44 288 

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 

9.97528

9. 97 523 

9. 97 519 

9.97 515 

9. 97 510 

9. 97 500

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 46C 

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. 97 307 

9. 97 303 

9. 97 358 

9. 97 353 

9. 97 349

9. 97 344 

9. 97 340 

9. 97 335 

9. 97 331 

9. 97 320

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 

6 

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.

00

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 

0

5 

4 

3 

2 

1

0

/

44 0

50 

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 

62 

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

in. s.

70C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 139 

TABLE 19. Five-place logarithms of circular functions, etc. ;Continuecl. 

lh 20°

m. s.

20 0 

4 

8 

12 

16

20 20 

24 

28 

32 

36

20 40 

44 

48 

52 

66

21. 0 

4 

8 

12 

16

21 20 

24 

28 

32 

36

21 40 

. 44

48 

52 

66

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

ao

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. 53 405 

9. 53 440 

9. 53 475 

9. 53 509 

9. 53 544

9. 53 578 

9. 53 613 

9. 63 647 

9.53 682 

9. 53 716

9. 53 751 

9.53 785 

9. 63 819 

9. 53 854 

9. 53 888

9.53 922 

9.53 967 

9. 53 991 

9. 54 025 

9. 54 059

9. 54 093 

9. 54 127 

9. 64 161 

9.54 195 

9. 54 229

9.54263 

9. 54 297 

9. 54 331 

9. 54 365 

9. 54 399

9. 54 433 

9. 54 466 

9. 54 500 

9. 54 534 

9. 54 567

9. 64 601 

9. 54 635 

9. 54 668 

9. 54 702 

9. 54 735

9. 54 769 

9. 54 802 

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. 65 136 

9. 55 169 

9. 55 202 

9. 55 235

9. 55 268 

9. 55 301 

9. 65 334 

9. 55 367 

9. 55 400

9. 55 433

L. Cos.

d.

35 

35 

34 

35 

34

35 

34 

35 

34 

36

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

 83 

34 

33 

34 

33

33 

34 

33 

33

00

34 

33 

33 

33

00

33 

33 

33 33' 

<w

d.

L. Tang.

9. 56 107 

9.56 146 

9. 56 185 

9.-56 224 

9. 66 264

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 

9.56 732 

0. 56 771 

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 

9.57 168 

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

9.67 849 

9.57 887 

9. 57 925 

9.67 963 

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. 58 380

9.58418

L. Cotg.

c. d.

39 

39 

39 

40 

39

39 

39 

39 

39 

39

39 

39 

39 

39 

39

39 

39 

39 

39

00

39 

39 

39 

38 

39

39 

38 

39 

38 

39

38 

- 39 

38 

39

00

38 

39 

38 

38 

39

38 

3* 

38 

38 

39

38 

38 38' 

38QQ

38 

38 

38 

38 

38

38 

37. 

38 

38

QQ

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 

0.41 658 

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 24S 

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 1 59 

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.

6 

5 

4 

5 

4

5 

5 

4 

5 

5

4 

5 

5 

4

5 

4 

5 

5

5 

5 

4 

5 

5

4 

5 

5 

5.

5 

5 

4 

6 

5

5 

4 

5 

5

4 

5 

6 

5 

5

4 

5 

5 

5 

5

4

5 

5 

5

5

4 

5 

5 

5 

5

d.

00

59 

68 

57 

66

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

;$o

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

69C
140 GEOGRAPHIC TABLES AND FOEMULAS. [BULL.214. 

TABLE 19. 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 

30

27 40 

44 

48 

52 

56

28 0

'.

0

1 

2 

3 

4

6 

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

5051- 

52 

53 

54

55 

56 

57 

58 

59

GO

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. 55 820 

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. 50 311 

9. 56 343 

9. 56 375

9. 56 408 

9. 56 440 

9. 50 472 

9. 56 504 

9.56 536.

9.50 568 

9. 56 599 

9.56 631 

9. 56 663 

9. 50 695

9.56 727 

9.56 759 

9. 56 790 

9. 56 822 

9. 56 854

9. 56 880 

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 

9.67 264 

9. 57 295 

9. 57 326

9.57 358

L. Los.

d.

33 

33 

33 

32

00

33 

33 

32 

33

33

32 

33 

32

qo OO

32

33 

32 

33 

32 

32

33 

32 

32 

33 

32

32 

32 

32 

32

00

32 

82 

32 

32 

32

31 

32 

32 

32

V)

'32 

31 

32 

32

V)

31 

32 

31 

32 w

31 

32 

31 

31

V)

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 

9.59 088

9.59 725 

9. 59 762 

9, 59 799 

9.59 835 

9. 59 872

9. 59 909 

9.69 946 

9. 59' 983 

9. 60 019 

9.60 056

9. 60 093 

9. 60 130 

9. 60 100 

9. 00 203 

9. 60 240

9. 60 276 

9. 60 313 

9. 60 349 

9.60 380 

9. 60 422

9. 60 459 

9. 60 495 

9. 60 532 

9. 00 508 

9. 60 605

9. GO 041

L. Cotg.

C. d!

37 '38 

38 

38 

37

38 

37 

38

38

37

38 

37 

38 

37 

37

38 

37 

38 

37

VI

37 

38 

37 

37 

37

37 

38 

37 

37 

37

37 

37 

37 

37

37

37 

 37 

36

37

VI

37 

37 

36 

37 'W

37 

36 

37 

37

37 

36 

.37 

36 07

30 

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 

0.40 900 

0. 40 809

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 

0.39 014 

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 

9.90 981 

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. 90 912 

9.90 907 

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 

9.96 813 

9. 96 808 

9.96 803 

9. 96 798

9. 90 793 

9. 90 788 

9. 96 783 

9. 90 778 

9. 96 772

9. 96 767 

9. 96 762 

9.90 757 

9.90 752 

9.96 747

9. 96 742 

9. 96 737 

9. 90 732 

9. 96 727 

9. 96 722

9.96 717

L. Sin.

d.

5 

5 

4 

5 

5

5 

5 

5 

5 

5

4 

5 

5 

5 

5

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 

ft

5 

5 

5 

6 

ft

5 

5 

5 

5

ft

5 

5 

5 

5 

ft

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

/

30 0 

50 

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 

50 

52 

48 

44

32 40 

36 

32 

28 

24

32 20 

36 

12 

8 

4

32 0

in. s.

68C
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 141

TABLE 19. Five-place logarithms of circular functions, etc. Continued. i

I11 22°

m. s.

28 0 

4 

8 

12 

16

28 20 

24 

28 

32 

3G

28 40 

44 

48 

62 

50

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 

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 

U

]5 

10 

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 

9.57 576 

9. 57 607 

9.57 638

9. 57 669 

9.57 700 

9. 57 731 

9.67 762 

9.57 793

9. 57 824 

9.57 855 

9.57 885 

9.57 916 

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. 68 253

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. 58 859

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 

32

31 

31 

31 

31 

31

31 

31 

31 

31 

31

31 

30 

31 

31 

31

30 

31 

. 31 

31 

30

31 

30 

3.1 

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 

9.01 076 

9.61 112 

9.61 148

9.61. 184 

9. 61 220 

9.61 256 

9.61 292 

9. 61 328

9.01 304 

9.61. 400 

9.61 436 

9. 01 472 

9. 61 508

9,61 644 

9. 61 579 

9.01 015 

9.61 051 

9. 01 687

9. 61 722 

9.01 758 

9. 61 794 

9. 01 830 

9. 01 865

9.61 901 

9. (il 936 

9. 61 972 

9. 62 008 , 

9. 02 043

9. 02 079 

9. 62 114 

9.62 150 

9.62 185 

9. 02 221

9, 62 256 

9. 62 292 

9. 62 327 

9. 62 302 

9. 02 398

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. 02 750

9. 62 785

L. Cotg. '

c. d.

36 

37 

36 

36 

37

36 

36 

30 

36 

37

36 

36 

30 

36 

36

36 

36 

36 

36 

36

36 

30 

30 

30 

30

35 

36 

86 

36 

35

36 

36 

36 

35 

36

35 

36 

' 36 

35 

36

35 

30 

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 

0.39 105 

0. 39 009 

0. 39 033

0. 38 990 

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. 38 030 

0.38 600 

0. 38 564 

0. 38 528 

0. 38 492

0. 38 450 

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. 37 073 

0.37 038 

0.37 602

0.37 567 

0. 37 632 

0.37 496 

0. 37 461 

0. 37 426

0.37 391 

0.37 355 

0. 37 320 

0. 37 285 

0. 37 250

0. 37 215

L. Tang.

L. Cos.

9. 96 717 

9.90 711 

9.% 700 

9.90 701 

9. 96 696

9. 96 691 

9. 96 080 

9. 90 681 

9. 96 676 

9. 96 670

9. 96 665 

9.90 600 

9. 90 655 

9. 96 650 

9.96 645

9. 96 640 

9.96 034 

9. 90 029 

9.90 024 

9. 90 619

9. 90 614 

9. 96 008 

9. 96 603 

9. 96 598 

9. 90 593

9. 90 588 

9. 90 582 

9. 96 577 

9. 96 572 

9. 96 567

9. 96 562 

9.96 556 

9. 96 551 

9. 96 540 

9. 90 541

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. 90 477 

9. 96 472 

9. 96 467 

9.96 461

9. 96 450 

9. 96 451 

9. 96 445 

9. 96 440 

9. 96 435

9. 96 429 

9. 90 424 

9. 90 419 

9. 90 413 

9. 96 408

9. 96 403

L. Sin.

d.

0 

5 

5 

5 

5

5 

5 

5 

6

5

5 

5 

5 

5 

5

0

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

6

5 

6 

5 

5 

6

5 

5 

6 

5 

5

d.

6059' 

58 

67 

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

/

32 0 

56 

52 

48 

44

31 40 

36 

32 

28 

24

31 20 

16 

12 

8 

4

31 0

56 

52 

48 

44 f

30 40 

30 

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 

62 

48 

44

28 40 

30 

32 

28 

24

28 20 

16 

12

8 . 

4

28 0

m. s.

67° 4h
142 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

lh 23°

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 

52 

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 

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 

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. 59 514 

9. 59 543 

9. 59 573 

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 

9.69 983 

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. 60 244 

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. 60 561 

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.

<3-

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 

2S 

29 

28 

28

d.

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 

9.63066 

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 

34

35 

35 

35 

35 

35

35 

34 

35 

35 

35

35 

34 

35 

35 

34

 35 

34 

35 

35 

34

35 

34 

35 

34

QC

34 

35 

34 

34 

s^

34 

34 

35 

34

34.

35 

34 

34 

34 

34

35 

34 

34 

34. 

34

34 

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 

0.36934 

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. 36 561

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. 35 483 

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 

9.96381

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.

d.

6 

.5 

5 

6 

5

6 

5 

5 

6

5

6 

5 

5 

6 

5

6 

5 

6

5 

6

5 

5 

6 

5 

6

5 

6 

5 

6 

5

6 

5 

6 

5 

6

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 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

i

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 

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

m. s.

66C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 143 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 24°

rn. s.

30 0 

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.

i

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. 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. 01 438 

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. 61 828 

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 

9.02 159

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

28 

28 

28 

28

zo

28 

29 

27 

28

Zo

28 

28 

28 

28

 iO

28 

27 

28 

28

27 

28 

28 

27

28 

27 

28 

27

27 

28 

27 

28

27

28 

27 

27 

28

27

27 

27 

28 

27

27 

27 

28 

27 

27

d.

L. Tang.

9. 64 858 

9. 64 892 

9.64926 

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. 65 400 

9. 65 434 

9. 65 467 

9. 65 501

9. 65 535 

9.65568 

9. 65 602 

9. 65 636 

9. 65 669

9.65 703 

9. 65 786 

9. 65 770 

9. 65 803 

9. 65 837

9. 65 870 

9. 65 904 

9. 65 937 

9. 65 971 

9. 66 004

9. 66 038 

9. 06 071 

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

O^l

34 

34 

34 

34

34 

34 

34 

34

34 

34 

33 

34

33 

34 

34 

33

33 

34 

33 

34

QQ

34 

33 

34 

33

34

33 

33 

34 

33

34 

33 

33 

33

33 

33 

33 

33

34

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 

0.33 990

0. 33 902 

0. 33 929 

0. 33 890 

0. 33 862 

0. 33 829

0. 33 796 

0. 33 762 

0. 33 729 

0. 33 696 

0.33 663

0. 33 629 

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. 96 007 

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. 95 808 

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

5

6 

5 

6 

6 

5

6 

6 

5 

6

6

6 

5 

6 

6

5

6 

6 

6

5

6 

5 

6 

6

5 

6 

6 

6

5 

6 

6 

6

5 

6 

6 

6

5 

6 

6 

6

0 

5 

6 

6

6 

6 

6 

6

5

d.

GO

59 

68 

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

i

24 0 

56 

52 

48 

44

23 40 

36 

32 

28 

24

23 20 

16 

12 

8 

4

23 0 

 50 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 

66 

52 

48 

44

20 40 

36 

32 

28 

24

20 20 

16 

12 8 

4

20 0

m. s.

65°
144 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

. TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 25°

HI. 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 

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. 62 595 

9. 62 622 

9. 62 649 

9. 62 676 

9. 62 703

9. 62 730 

9. 62 757 

9. 62 784 

9.62 811 

9. 62 838

9. 62 865 

9. 62 892 

9.62 918 

9. 62 945 

9. 62 972

9. 62 999 

9. 63 026 

9.63 052 

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. 63 767

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

27

26 

27 

27 

26

27.

26 

27 

26 

27

26

27 

26 

27 

26 

27

26 

26 

27 

26

27 

26 

26 

26

27

26 

26 

26 

26 

oc

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 

9.67 426 

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

OO

33 

33 

.33 

32

oo

33 

33 

33 

32

33

33 

33 

32 

33

DO

32 

33 

33 

32

oo

32 

33 

33 

32

OO

32 

33 

32 

33

32 

33 

32 

33

32 

33 

32 

32

OO

32 

32 

32 33'

32

32 

32 

32 

33

OZ

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. 32 574 

0. 32 542 

0. 32 509

0. 3'2 476 

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

0.32 150 

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. 31 761 

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 

9.95680 

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. 95 627 

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. 95 511 

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 

9.95500 

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

7

6 

6 

6 

6

6 

7 

6 

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 

16

15 

14 

13

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.] GEOGKRAPHIC TABLES AND FORMULAS. 145

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lu 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

40 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

ao

3.1. 

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 

67 

58 

59

00

L.Sin.

9. 64 184 

9. 64 210 

9. 64 230 

9. 64 262 

9. 64 288

9.64 313 

9.64 339 

9. 64 365 

9. 64 391 

9. 64 417

9. 64 442 

9. 64 468 

9. 64 494 

9.64 519 

9. 64 545

9. 64 571 

9.64 596 

9. 64 622 

9.64 647 

9. 64 673

9. 64 698 

9. 04 724 

9. 64 749 

9. 64 775 

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. 65 003 

9.65.029 

"9. 65 054

9. 65 079 

9. 65 104 

9. 65 130 

9.65 155 

9. 65 180

9. 65 205 

9. 65 230 

9. 65 255 

9. 65 281 

9. 65 306

9. 65 331 

9. 65 356 

'9.65 381 

9. 65 406 

9. 65 431

9. 65 456 

9. 65 481 

9. 65 506 

9.65 531 

9. 65 656

9. 65 580 

9. 65 605 

9. 65 630 

9. 65 665 

9. 65 680

9. 65 705

L. Cos.

d.

26 

26 

26 

26 

25

26 

26 

26 

26 

25

26 

26 

25 

20 

26

25 

26 

25 

26 

25

26 

25 

26 

25 

26

25 

26 

25 

25 

26

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 

9.69 106

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 

9.70215

9. 70 247 

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 

31 

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. 30 926 

0. 30 894

0. 30 862 

0. 30 830 

0. 30 798 

0. 30 766 

0. 30 734

0. 30 702 

0. 30 671 

0. 30 639 

0.30 607 

0. 30 575

0. 30 543 

0. 30 512 

0. 30 480 

0. 30 448 

0.30 416

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. Taug.

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. 95 261 

9. 95 254 

9. 95 248

9. 95 242 

9. 95 236 

9. 95 229 

9. 95 223 

9. 95 217

9. 95 21 1 

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. 95 116 

9.95 110 

9.95 103 

9. 95 097 

9. 95 090

9. 95 084 

9. 95 078 

9. 95 071 

9. 95 065 

9. 95 059

9. 95 052 

9. 95 046 

9. 95 039 

9. 95 033 

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

6 

6 

6

7 

6

6 

6 

6

7 

6

6 

6

7 

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.

CO

69 

58 

57 

56

65 

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

'JO

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 

62 

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 

10 

12 

8 

4

13 0 

66 

52 

48 

44

12 40 

36 

32 

28 

24

12 20 

16 

12 

8 

4

12 0

m. s.

63C

Bull. 214 03- -10
146 GEOGRAPHIC! TABLES AND FORMULAS. [BULL. 214.

TABLE 19. 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

60 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

65 

56 

67 

58 

59

60

L. Sin.

9.65 705 

9. 65 729 

9. 65 754 

9. 65 779 

9. 65 804

9. 65 828 

9.65853 

9. 65 878 

9. 65 902 

9.65927

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

24 

25 

24 

24 

25

24 

24 

24 

24

9^

24 

24 

24 

24 

24

24 

26 

24 

24 

24

24 

24 

24 

24

OQ

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 

9.70997

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. 71 655 

9. 71 686 

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. 72 017 

9.72 048 

9. 72 078

9.72 109 

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

Oi.

31 

31 

31 

32

Ol

31 

31 

31 

31

oJL

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

30 

31 

30 

31

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 

0.29034 

0.29003

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 

0.28 599 

0.28 669 

0.28538

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 

0.28014 

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 

6. 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. 94 936 

9.94930

9. 94 923 

9.94 917 

9.94 911 

9. 94 904 

9.94898

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 

9.94687 

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. 94 693

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

7 

7 

6 

7

6

7 

7 

6

7

7 

6 

7 

7

7

d.

00

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

/

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 

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.

62C
GANNETT.] GEOGEAPHIO TABLES AND FORMULAS. 147

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

lh 28°

m. s.

52 0 

4 

8 

12 

16

52 20 

24 

28 

32 

36

62 40 

44 

48 

52 

56

53 0 

4 

8 

1.2 

16

53 20 

24 

28 

32 

36

53' 40 

44 

48 

52 

66

54 0 

4 

8 

12 

16

64 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

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.

9.67 161 

9.67 185 

9. 67 20,8 

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. 67 639 

9.67 662 

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. 68 634

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 

24

23 

23 

24 

23 

23

24 

23 

23 

2?. 

23

24 

23 

23 

23 

23

23 

23 

23 

23 

23

24 

23 

23 

22 

<>g

23 

23 

23 

23 

 23

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 2*5 

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. 73 637 

9. 73 567 

9. 73 597

9. 73 627 

9. 73 657 

9. 73 687 

9. 73 717 

9.73 747

9. 73 777 

9.73807 

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. 74 256 

9. 74 286 

9. 74 316 

9. 74 345

9. 74 375

L. Cotg.

c.d.

31 

30 

31 

30 

31

30 

30 

31 

30 

31

30 

30 

31 

30 

30

31 

30 

30 

30 

31

30 

30 

30 

30 

31

30 

30 

30 

30 

30

31 

30 

30 

30 

30

30 

30 

30 

30 

30

30 

30 

30 

30 

30

30 

30 

30 

30 

30

30 

30 

29 

30 

30

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. 27 068 

0. 27 037 

0.27 007

0.26977 

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. 26 674 

0. 26 644 

0. 26 614 

0. 26 684 

0. 26 654

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. 25 963

0.25 923 

0. 25 893 

0.25 863 

0.25834 

0.25804

0. 25 774 

0. 25 744 

0. 25 714 

0.26 684 

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. 94 526 

9. 94 519 

9.94 513 

9. 94 606 

. 9. 94 499

9.94 492 

9. 94 485 

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. 94 238 

9.94 231 

9.94 224

9. 94 217 

9.94 210 

9. 94 203 

9.94 196 

9. 94 189

9. 94 182

L. Sin.

d.

6

7 

7 

6 

7

7 

7 

6 

7 

7

7 

6 

7

7 

7

7 

'7 6 

7 

7

7 

6 

7 

7 

7

7 

7 

6 

7 

7

7 

7 

7 

7 

7

6

7 

7 

7 

7

7 

7 

7 

7

7

7 

6 

7 

7

7

7 

7 

7 

7 

7

7 

7 

7 

7 

7

d.

«0'

59 

.58 

57 

56

55 

54 

53 

62 

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

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 

48 

44

4 40 

36 

32 

28 

24

4 20 

16 

12 

8 

4

4 0

m. s.

61°
148 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

lh 29°

m. s.

56 0 

4 

8 

12 

16

50 20 

24 

28 

32 

30

50 40 

44 

48 

52 

56

57 0 

4 

8 

12 

16

57 20 

24 

28 

32 

36

57 40 

44 

48 

52 

56

58 6 

4 

 8 

12 

10

58 20 

24 

28 

32 

30

58 40 

44

48 

52 

50

59 0 

4 

8 

12 

10

59 20 

24 

28 

32 

30

59 40 

44

48 

52 

56

00 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

ild

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. 68 557 

 9. 68 580 

9.68 603 

9. 68 625 

9.68 648

9. 08 071 

9. 08 094 

9. 08 71f, 

9.08 73(j 

9. 68 762

9. 08 784 

9. 68 807 

9. 68 829 

9. 68 852 

9. 68 875

9. 68 897 

9. 68 920 

9. 08 942 

9.08 965 

9. 68 987

9. 09 010 

9. 09 032 

9. 09 055 

9.09 077 

9.09 100

9. 69 122 

9. 69 144 

9.69 167 

9. 69 189 

9. 69 212

9. C9 234 

9. 69 256 

9. 69 279 

9. 09 301 

9. 09 323

9. 09 345 

9. 09 368 

9. 69 390 

9. 69 412 

9. 69 434

9. 69 456 

9. 09 479 

9. 69 501 

9. 09 523 

9. 69 545

9. 69 567 

9. 69 589 

9.69 611 

9. 69 633 

9. 69 055

9. 69 67.7 

9. 69 699 

9.69 721 

9.09 743 

9.69 765

9. 69 787 

9. 69 809 

9.69 831 

9. 69 853 

9. 09 875

9. 09 897

L. Cos.

d.

23 

23 

22 

23

00

23 

22 

23 

23 

22

23 

22 

23 

23

23 

22 

23 

22

oo

22 

23 

22 

23

22 

23 

22 

 23 

oo

22 

23 

22 

22

OO

23 

22 

22 

22 

22

23 

22 

22 

22 

22

22 

22 

22 

22

99

22 

22 

22 

22 

22

22 

22 

22 

22 

22

d.

L. Tang.

9. 74 375 

9. 74 405 

9. 74 435 

9. 74 405 

9. 74 494

9. 74 524 

9. 74 554 

9. 74 583 

9. 74 013 

9. 74 043

. 9. 74 073 

9. 74 702 

9. 74 732 

9. 74 762 

9. 74 791

9. 74 821 

9. 74 851 

9. 74 880 

9. 74 910 

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. 75 170 

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. 75 047 

9. 75 070

9. 75 705 

9. 75 735 

9. 75 704 

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. 76 080 

9. 70 115

9. 70 144

L. Cotg.

c. d.

30 

30 

30 

29 

30

30 

29 

30 

30 

SO

29 

30 

30 

29

OA

30 

29 

30 

29 

30

29 

30 

30 

29

on

29 

30 

29 

30

°9

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 

29

c. d.

L. Cotg.

0. 25 025 

0. 25 595 

0. 25 505 

0. 25 535 

0. 25 500

0. 25 476 

0. 25 440 

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 

0.2476^

0. 24 736 

0.24 706 

0.24 077 

0. 24 047 

0. 24 018

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. 94 062 

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

Q 09 O77 

UllJO ill)

9. 93 970 

9. 93 963 

9.93 955 

9. 93 948 

9.93 941

9. 93 934 

9. 93 927 

9. 93 920 

9.93 912 

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 

8 

7

7 

7 

7

7

7 

7 

7 

8 

7

7 

7 

7

7

7

7 

8 

7 

7 7-

7 

7 

8 

7 

7

7 

7 

8 

7 

7

7 

8

7 

7 

7

7 

8 

7 

7

7 

7 

7 

8 

7

d.

60

59 

58 

57 

50

55' 

54 

53 

52 

51

60

49 

48 

47 

40

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

1.5 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

'

4 0

56 

52 

48 

44

3 40 

30 

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 

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

m. s.

60°
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 149 

TABIVE 19. Five-place logarithms of circular functions, etc. Continued.

2" 30°

111. S.

0 0 

4

8 

12 

10

0 20 

24 

28 

32 

30

0 40 

44 

48 

52 

50

1 0 

4 

8 

12 

16

1 20 

24 

28 

32 

30

1 40 

44

48 

52 

50

2 0 

4

812

10

2 20 

24 

28 

32 

80

2 40 

44 

48

52 

50

3 0 

4

8 

12 

10

3 20 

i 24 

28 

32 

30

3 40 

44

48 

52 

50

4 0

/

()

1

2 

3 

4

5 

0

7 8 

9

10

11 

12 

13 

14

15 

10 

17 

1.8 

19

20

21 

22 

23 

24

25 

20 

27 

28 

29

:to

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

00

L. Sin.

9. 09 897 

9.09 919 

9. 09 941 

9. 09 903 

9. 09 984

9. 70 000 

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. 70 207 

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. 70 401 

9. 70 482 

9. 70 504 

9. 70 525

9. 70 547 

9. 70 508 

9. 70 590 

9.70 Oil 

9. 70 033

9. 70 054 

9. 70 075 

9. 70 097 

9.70 718 

9.70 739

9. 70 701 

9. 70 782 

9. 70 803 

9. 70 824 

9. 70 840

9. 70 807 

9. 70 888 

9. 70 909 

9. 70 931 

9. 70 952

9. 70 973 

9.70 994 

9. 71 015 

9. 71 030 

9. 71 058

9. 71 079 

9.71 100 

9. 71 121 

9. 71 142 

9.71 103

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.

I;. Tang.

9.70 144 

9. 70 173 

9. 70 202 

9. 70 231 

9. 70 201

, 9. 70 290 

9. 70 319 

9. 70 348 

9. 70 377 

9. 70 400

9. 70 435 

9. 76 404 

9. 70 493 

9. 70 522 

9. 70 551

9. 70 580 

9.70 009 

9. 76 639 

9. 70 008 

9. 70 097

9. 70 725 

9. 70 754 

9. 76 783 

9. 70 812 

9. 70 841

9. 76 870 

9. 70 899 

9. 76 928 

9. 76 957 

9. 70 986

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. 77 240 

9.77 274

9. 77 303 

9. 77 332 

9.77 301 

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 

9.77 048 

9.77 077 

9. 77 700

9. 77 734 

9. 77 703 

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. 23 850 

0. 23 827 

0. 23 798 

0.23 709 

0.23 739

0. 23 710 

0. 23 081 

0.23 052 

0. 23 023 

0.23 594

0. 23 505 

0. 23 536 

0.23 507 

0. 23 478 

0. 23 449

0. 23 420 

0. 23 391 

0. 23 301 

0. 23 332 

0.23 303

0. 23 275 

0. 23 240 

0.23 217 

0. 23 188 

0.23 159

0.23 130 

0.23 101 

0. 23 072 

0. 23 013 

0.23 014

0. 22 9&1, 

0. 22 950 

0. 22 927 

0.22 899 

0. 22 870

0. 22 841 

0.22 812 

0.22 783 

0.22 754 

0. 22 720

0.22 097 

0.22 008 

0.22 039 

0.22 010 

0. 22 582

0. 22 553 

0.22 524 

0. 22 495 

0. 22 467 

0. 22 438

0. 22 409 

0. 22 381 

0. 22 352 

0. 22 323 

0. 22 294

0.22 206 

0. 22 237 

0.22 209 

0. 22 180 

0.22 151

0. 22 123

L. Tang.

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

9.93 080 

9. 93 073 

9. 93 005 

9. 93 058 

9. 93 050

9. 93 643 

9. 93 030 

9. 93 028 

9. 93 021 

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.j93 480 

9.93 472 

9. 93 405

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. 93 844 

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

S 

7 

8 

7 

S

7 

8 

7 

8 

8

7 

8 

7 

8 

7

d.

no

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

:!()

29

28 

27 

26

25 

24 

23 

22 

21

20

19

18 

17 

10

15 

14 

13 

12 

11

10

9

8 

7 

0

5 

4 

3 

2 

1

0

/

CO 0 

56 

52 

48 

44

59 40 

30 

32 

28 

24

59 20 

10 

12 

8

4

59 0 

50 

52 

48 

44

58 40 

30 

32 

28 

24

58 20 

10 

12 

8 

4

58 0 

 50 

52 

48 

44

57 40 

36 

32 

28 

24

57 20 

16 

12 

8 

4

57 0 

50 

52 

48 

44

56 40 

36 

32 

28 

24

50 20 

1C 

12 

8 

4

50 0

in. s.

59° 3"
150 GEOGRAPHIC TABLES AND FORMULAS. [BULL:214. 

TABLE 19. 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 

is 

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 

30 

37 

38 

39

40

41 

42 

43 

44

45 

46 

47 

48 

49

50

51 

52 

53 

54

55 

66 

57 

58 

59

60

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 

9.72340 

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 96? 

9.77 992

9. 78 020 

9. 78 049 

9. 78 077 

9.78 10G 

9. 78 135

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. 78 476 

9. 78 505 

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 81? 

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. 21 495 

0.21 467 

0.21 438

0. 21 410 

0.21 382 

0.21 353 

0. 21 325 

0. 21 290

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

0.20985 

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 

9.93253 

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 

9.93 138 

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

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.

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 

82 

31

30

29

28 

27 

26

25 

24 

23 

22 

21

20

19 

18 

1.7 

16

15 

14 

13 a2

11

10

9 

8 

7 

6

5 

4 

3 

2 

1

0

i

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.

56°
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 151

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

211 32°

ra. s.

8 0 

4 

8 

12 

1C

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

6 

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 lio"

51 

52 

53 

54

55 

56 

67 

68 

59

GO

L. Sin.

9.72 421 

 9. 72 441 

9. 72 461 

9. 72 482 

9. 72 502

9. 72 522 

9. 72 542 

9. 72 562 

9. 72 582 

9. 72 602

9. 72 022 

9. 72 043 

9.72 063 

9. 72 683 

9. 72 703

9. 72 723 

9. 72 743 

9.72 763 

9. 72 783 

9. 72 803

9. 72 823 

9. 72 843 

9. 72 863 

9. 72 883 

9. 72 902

9. 72 922 

9.72 942 

9. 72 902 

9. 72 982 

9. 73 002

9. 73 022 

9. 73 041 

9. 73 001 

9. 73 081 

9. 73 101

9. 73 121 

9. 73 140 

9. 73 160 

9. 73 180 

9. 73 200

9. 73 219 

9. 73 239 

9. 73 259 

9. 73 278 

9.73298

9. 73 318 

9; 73 337 

9.73 357 

9. 73 377 

9.73 396

9. 73 416 

9. 73 435 

9. 73 455 

9. 73 474 

9. 73 494

9. 73 513 

9. 73 533 

9. 73 552 

9. 73 672 

9. 73 591

9.73611

L.COS.

d..

20 

20 

21 

20 

20

20 

20 

20 

20 

20

21 

20 

20 

20 

20

20 

20 

20 

20 

20

20 

20 

20 

19 

20

20 

20 

20 

20 

20

19 

20 

20 

20 

20

19 

20 

20 

20 

19

20 

20 

19 

20 

20

19 

20 

20 

19 

20

19 

20 

19 

20 

19

20 

19 

20 

19 

20

d.

L. Tang.

9.79 579 

9. 79 607 

9. 79 635 

9, 79 663 

9. 79 691

9. 79 719 

9. 79 747 

9. 79 776 

9. 79 804 

9. 79 832

9. 79 860 

9. 79 888 

9. 79 916 

9. 79 944 

9. 79 972

9. 80 000 

9.80028 

9. 80 056 

9. 80 084 

9. 80 112

9. 80 140 

9. 80 108 

9. 80 195 

9. 80 223 

9. 80 251

9. 80 279 

9. 80 307 

9.30 335 

9. 80 303 

9. 30 391

9. 30 419 

9. 30 447 

9.30 474 

9. 30 502 

9.30 530

9. 30 558 

9.30 586 

9. 30 614 

9. 30 642 

9. 30 009

9. 30 097 

9. 30 725 

9.30 753 

9.30 781 

9. 30 808

9. 30 830 

9. 80 804 

9. 80 892 

9. 80 919 

9.30 947

9. 80 975 

9.81 003 

9. 31 030 

9. 81 058 

9. 81 086

9.81 113 

9. 81 141 

9.81 169 

9. 81 196 

9.81 224

9. 81 252

L. Cotg.

c. d.

28 

28 

28 

28 

28

28 

29 

28 

28 

28

28 

28 

28 

28 

 28

28 

28 

28 

28 

28

28 

27 

28 

28 

28

28 

28 

28 

28 

28

28 

27 

28 

28 

28

28 

28 

28 

27 

28

28 

28 

28 

27 

28

23 

28 

27 

28 

28

28 

27 

28 

28 

27

28 

' 28 

27 

28 

28

c.d.

L. Cotg.

0. 20 421 

0. 20 393 

0.20 365 

0. 20 337 

0.20 309

0. 20 281 

0. 20 253 

0. 20 224 

0.20 196 

0. 20 168

0. 20 140 

0.20 112 

0. 20 084 

0. 20 056 

0. 20 028

0. 20 000 

0. 19 972 

0.19 944 

0. 19 910 

0. 19 888

0. 19 860 

0. 19 832 

0. 19 805 

0.19 777 

0. 19 749

0. 19 721 

0.19 693 

0. 19 665 

0. 19 637 

0. 19 609

0. 19 581 

0.19 553 

0. 19 420 

0. 19 498 

0. 19 470

0. 19 442 

0. 19 414 

0. 19 386 

0. 19 358 

0. 19 331

0. 19 303 

0. 19 275 

0. 19 247 

0. 19 219 

0.19 192

0. 19 104 

0. 19 136 

0. 19 108 

0. 19 081 

0. 19 053

0. 19 025 

0. 18 997 

0.18 970 

0. 18 942 

0.18914.

0. 18 887 

0. 18 859 

0. 18 831 

0. 18 804 

0. 18 776

0. 18 748

L. Tang.

L. Cos.

9. 92 842 

9. 92 834 

9. 92 826 

9.92 818 

9. 92 810

9. 92 803 

9. 92 795 

9. 92 787 

9. 92 779 

9. 92 771

9. 92 763 

9. 92 755 

9. 92 747 

9. 92 739 

9.92 731

9.92723 

9.92 715 

9. 92 707 

9. 92 699 

9. 92 691

9. 92 083 

9. 92 075 

9. 92 667 

9. 92 659 

9. 92 051

9. 92 64? 

9.92 635 

9. 92 627 

9. 92 619 

9. 92 611

9. 92 603 

9. 92 595 

9. 92 587 

9. 92 579 

9.92 671

9.92 563 

9.92 555 

9. 92 546 

9. 92 538 

9. 92 530

9. 92 522 

9. 92 514 

9. 92 600 

9. 92 498 

9. 92 490

9. 92 482 

9. 92 473 

9. 92 405 

9. 92 457 

9.92 449

9. 92 441 

9. 92 433 

9. 92 425 

9. 92 416 

9. 92 408

9. 92 400 

9. 92 392 

9. 92 384 

9. 92 376 

9. 92 367

9. 92 359

L. Sin.

d.

8 

8 

8 

8 

7

8 

8 

8 

8 

8

8 

8 

8 

8 

8

8

8 

8 

8 

8

8 

8 

8 

8 

8

8 

8 

8 

8 

8

8 

8 

8 

8 

8

8 

9 

8 

8 

8

8 

8 

8 

8 

8

9

8 

8 

8 

8

8 

8 

9 

8 

8

8 

8 

8 

9 

8

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 

30,

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 

30 

32 

28 

24

51 20 

1C 

12 

8 

4

61 0

; 5C

52 

48 

44

50 40 

30 

32 

28 

24

50 20 

16 

12 

8 

4

50 0 

56 

52 

48 

44

49 40 

36 

32 

28 

24

49 20 

1C 

12 

8 

4

49 0 

56 

52 

48 

44

48 40 

30 

32 

28 

24

48 20 

1C 

12 

8 

4

48 0

in. s.

57C 3h
152- GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2h 33?

m. s.

12 0 

4 

8 

12 

1C

12 20 

24 

28 

32 

36

32 40 

44 

48 

52 

50

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 

10 

17 

18 

19

UO

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. 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. "4 246 

9. 74 265

9. 74 284 

9. 74 303 

9. 74 322 

9174 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

19

20 

19 

19 

19

20 

19 

19 

19

20 

19 

19 

19

19 

19 

19 

19 

19

19 

19 

19 

19 

19

19 

19 

19 

19 

19

19 

19 

19 

18 

19

19 

19 

19 

19 

i ft

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.-S2 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

28 

27 

28 

27

27 

28 

27 

28 

27

28 

27 

28 

27

9t

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 

' 2727 

28 

27 

27 

27

Oft

c. d.

L. Cotg.

0. 18 748 

0.18 721 

0. IS 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. 17 593 

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. 92 235 

9. 92 227 

9.92 219 

9. 92 211 

9. 92 202

9. 92 194 

9. 92 186 

9. 92 177 

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 

9

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 

9

d.

GO

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

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

i

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.

56C
GANNETT.] GEOGKAPHIC TABLES AND FOKMULAS. 153 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2U 34°

m. s.

1C 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 

66

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 

59

GO

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. 75 165 

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. 75 350 

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. 75 551 

9. 75 669

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. 75 751

9. 75 769 

9. 75 787 

9. 75 805 

9. 75 823 

9. 75 841

9. 75 859

L. Cos.

<1.

19 

19 

18 

19 

19

18 

19 

19 

18 

19

18 

19 

19 

18 

]9

18 

19 

18 

19 

. IS

19 

18 

19 

18 

19

18 

19 

1,8 

18 

19

18 

19 

18 

18 

19

18 

18 

18 

19

1 Q

18 

19 

18

18 

18

18 

19 

18 

 18 

18

18 

18 

19 

18

I Q

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. 83 849 

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. 84 264 

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 

28 

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. 1.6 639 

0.16 612 

0. 16 585

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. 15 935 

0. 15 908

0. 15 881 

0. 15 85-1 

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 

9.91 828

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. 534 

9.91 625 

9. 91 61.7 

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. 9.1. 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 

y

9 

8 

9 

9

9 

9 

8 

9 

9

8 

9 

9 

8

i)

9 

9 

8 

9 

9

8 

9 

9 

9

8

9 

9 

9 

9

8

9 

9 

9 

9

9 

9 

9 

9 

g

d.

GO

59

58 

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

:to

29

28 

27 

26

.25 

24 

23 

22 

21

20

19 

18 1.7' 

16

15 

14 

13 

12 

11

10

9

8 

7 

6

5 

4 

3 

2 

1

0

-

44 0 

66 

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 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

o 40 40 

36 

32 

28 

24

40 20 

16 

12 ' 8 

4

40 0

in. a.

55° 3'1
154 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. 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 

' 66

22 0 

4 

8 

12 

16

22 20 

24 

28 

32 

36

22 40 

44 

48 

62 

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

50

51 

52 

53 

54

55 

56 

57 

58 

59

CO

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 43f 

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 is

18 

18 

18 

18

18 

 18 

18 

18

17 

18 

18 

18

18 

.17 

18 

18

17 

18 

18 

18 

17

18 

18 

17

18

1C

17 

18 

18 

17

1 fi

18 

17 

18 

17

1 ft

17 

18 

17 

18 

17

18 

17 

18 

17

1 ft

17 

18 

17 

17

10

d.

L. Tang.

9. 84 523 

9.84 650 

9. 84 576 

9. 84 603 

9. 84 630

9.84657 

9. 84 684 

9. 84 711 

9.84 738 

9.84 764

9. 84 791 

9. 84 818 

9.84 845 

9.84 872 

9. 84 899

9.84 925 

9.84 952 

9. 84 979 

9. 85 006 

9. 85 033

9. 86 059 

9. 85 086 

9. 85 113 

9.85 140 

9. 85 166

9.85193 

9.85220 

9. 85 247 

9. 85 273 

9. 85 300

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. 

27 

26

27

27 

27 

27 

27

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 

26 

27 

27 

26

27 

26 

27 

27

26

27 

26 

27 

27

26

c. d.

L. Cotg.

0. 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. 14 967

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. 14 693 

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 

9 

9

9 

8 

9 

9 

9

9 

9 

9 

9

9 

9 

9 

9 

10

9 

9 

9 

9

9 

9 

9 

9 

9

9 

9 

9 

10 

9

9 

9 

9 

9 

9

10 

9 

9 

9. 

9

d.

60

59 

58 

57 

56

55 

54 

53 

62 

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 

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

in. s.

54C
GANNETT.] GEOGKRAPHIC TABLES AND FOEMULAS. 155 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2h 36°

m. s.

24 0 

4 

8 

12 

16

24 20 

24 

28 

32 

30

24 40 

44 

48 

52 

56

25 0 

4 

8 

12 

16

25 20 

24 

28 

32 

36

25 40 

44 

48 

62 

56

26 0 

4 

8 

12 

16

26 20 

24 

28 

32 

36

20 40 

44 

48 

62 

50

27 0 

4 

8 

12 

16

27 20 

24 

28 

32 

30

27 40 

44 

48 

52 

56

28 0

'

0

1 

2 

3 

4

5 

0 

7 

8 

9

10

11 

12 

13 

14

16 

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

GO

L. Sin.

9.76 922 

9. 76 939 

9.76 957 

9. 70 974 

9. 70 991

9. 77 009 

9. 77 020 

9. 77 043 

9. 77 061 

9. 77 078

9. 77 095 

9. 77 112 

9. 77 130 

9.77 147 

9.77 164

9. 77 181 

9.77 1.99 

9. 77 216 

9.77 233 

9. 77 250

9. 77 268 

9. 77 285 

9. 77 302 

9.77 319 

9. 77 336

9. 77 353 

9. 77 370 

9.77 387 

9. 77 405 

9. 77 422

9. 77 439 

9.77 456 

9. 77 473 

9. 77 490 

9.77 507

9. 77 524 

9. 77 541 

9. 77 558 

9. 77 575 

9.77 592

9.77 009 

9. 77 620 

9. 77 043 

9. 77 660 

9. 77 677

9. 77 694 

9. 77 711 

9. 77 728 

9. 77 744 

9. 77 761

9. 77 778 

9. 77 795 

9.77 812 

9. 77 829 

9. 77 846

9. 77 862 

9. 77 879 

9. 77 896' 

9.77 913 

9. 77 930

9. 77 946

L. Cos.

d.

17 

18 

17

17 

18

17 

17 

18 

17 

17

17 

1.8 

17 

.17 

17

18 

. 17 

17 

17 

18

17 

17 

17 

17 

17

17

17 

18 

17 

17

17 

17 

17 

17 

17

17 

17 

17 

17 

17

17 

17 

17 

17 

17

17 

17 

16 

17 

17

17 

17 

17 

17 

. 16

17 i 17' 

17. 17' 

16

d.

L. Tang.

9. 86 126 

9. 86 153 

9. 86 179 

9. 86 206 

9. 86 232

9. 86 259 

9.86 285 

9. 86 312 

9. 86 338 

. 9. 80 305

9. 80 392 

9. 86 418 

9. 86 445 

9. 86 471 

9. 86 498

9.86 524 

9. 86 551 

9.86 577 

9.86 603 

9. 80 630

9.80 650 

9.86 683 

9.86 709 

9. 86 736 

9.86 762

9.86 789 

9. 86 815 

9. 80 842 

9. 86 868 

9. 80 894

9. 80 921 

9. 86 947 

9. 86 974 

9.87 000 

9. 87 027

9.87 053 

9.87 079- 

9.87 100 

9. 87 132 

9.87 158

9. 87 185 

9.87 211 

9. 87 238 

9.87 204 

9.87 290

9. 87 317 

9.87 343 

9.87 309 

9. 87 396 

9. 87 422

9. 87 448 

9. 87 475 

9. 87 501 

9. 87 527 

9. 87 554

9. 87 580 

9. 87 006 

.. 9. 87 033 

9. 87 059 

. 9. 87 685

9.87 711

L. Cotg.

c. d.

27 

26 

27 

26 

27

26 

27 

26 

27 

27

26 

27 

2(i 

27 

26

27 

26 

26 

27 

26

27 

26 

27 

20

27

20 

27 

26 

26

27

26 

27 

26 

27 

26

26 

27 

26 

26 

27

 26 

27 

20 

26

27

20 

26 

27 

26 

20

27 

26 

26 

27 

26

26 

27 

26 

26 

26

c. d.

L. Cotg.

0. 13 874 

0. 13 847 

0. 13 821 

0. 13 794 

0.13 708

0. 13 741 

0.13 715 

0. 13 688 

0. 13 602 

0. 13 035

0.13 008 

0.13 582 

0. 13 555 

0. 13 529 

0. 13 502

0. 13 476 

0. 13 449 

0. 13 423 

0. 13 397 

0.13 370

0. 13 344 

0. 13 317 

0.13 291 

0. 13 204 

0. 13 238

0.13 211 

0.13 185 

0. 13 158 

0. 13 132 

0. 13 106

0. 13 079 

0. 13 053 

0. 13 026 

0. 13 000 

0. 12 973

0. 12 947' 

0. 12 921 

0. 12 894 

0. 12 868 

0.12 842

0.12 815 

0. 12 789 

0. 12 702 

0.12 736 

0.12 710

0. 12 683 

0. 12 057 

0. 12 031 

0. 12 004 

0. 12 578

0. 12 552 

0.12.525 

0. 12 499 

0. 12 473 

0. 12 440

0. 12 420 

0. 12 394 

0. 12 367 

0. 12 341 

0. 12 315

0. 12 289

L. Tang.

L. Cos.

9. 90 796 

9. 90 787 

9. 90 777 

9. 90 768 

9. 90 769

9. 90 750 

9. 90 741 

9. 90 731 

9. 90 722 

9. 90 713

9. 90 704 

9. 90 694 

9. 90 685 

9. 90 070 

9. 90 667

9. 90 657 

9. 90 648 

9. 90 639 

9. 90 630 

9. 90 620

9. 90 611 

9. 90 602 

9. 90 592 

9. 90 683 

9. 90 574

9.90 56ij 

9. 90 555 

9. 90 546 

9. 90 537 

9. 90 527

9. 90 518 

9. 90 509 

9. 90 499 

9. 90 490 

9. 90 480

9. 90 471 

9. 90 462 

9. 90 442 

9. 90 443 

9. 90 434

9. 90 424 

9.90 415 

9. 90 405 

9. 90 390 

9. 90 380

9. 90 377 

9. 90 368 

9. 90 358 

9. 90 349 

9. 90 339

9. 90 330 

9. 90 320 

9.90 311 

9. 90 301 

9. 90 292

9. 90 282 

9. 90 273 

9. 90 263 

9. 90 254 

9. 90 244

9. 90 235

L. Sin.

d.

9 

10 

9 

9 

9

9 

10 

9 

9 

9

10 

9 

9 

9 

10

9 

9 

9 

10

, 9

9 

10 

9 

9 

9

10 

9 

9 

10 

9

9 

10 

9 

10 

9

9 

10 

9 

9 

10

9 

10 

9 

10 

9

9 

10 

9 

10 

9

10 

9 

10 

9 

10

9 

10 

9 

10 

9

d.

GO

59 

58 

57 

56

55 

54 

53 

52 51'

50

49 

48 

47 

46

46 

44 

43 

42 

41

40

39 

38 

37 

30

35 

34 

33 

32 

31

30

29 

28 

27 

20

25 

24 

23 

22 

21

20

19 

18 

17 

1C

15 

14 

13 

12 

11

10

9 

8

7 

C

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 

50 . 

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.

53°
156 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, ete. Continued. 

2U 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 

52 

66

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 

' 98 

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. 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. 78 097

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.J8 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. 78 058 

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 

17 

17 

16

17 

17 

16 

17 

17

16 

17 

16 

17 

17

16 

17 

1C 

17 

16

17 

16 

17 

16 

17

16 

17 

16 

16 

17

16 

17 

16 

16 

17

16 

17 

16 

16 

17-

16 

10 

16 - r,

16

16 

17 

16 

16 

16

16 

17 

16 

36 

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. 88 230 

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. 88 838 

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

2G 

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

20 

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. 11 007 

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 

0. 11 162 

0. 11 136

0.11 1.10 

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 

9.90 359 

9. 90 149

9.90 139 

9. 90 130 

9. 90 120 

9. 90 111 

9. 90 101

9. 90 091 

9.90082 

9. 90 072 

9. 90 063 

9. 90 053

9.90043 

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

9.89849 

9. 89 840 

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 

30

10 

9 

10 

1.0 

10

9 

10 

10 

10 

9

10 

10 

10 

10 

9

10 

10 

10 

10 

30

9 

10 

10 

10 

10

d.

GO

53

58 

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

30

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

/

32 0 

56

52 

48 

44

31 40 

30 

32 

28 

24

31 20 

36 

12 

8 

4

33. 0 

56 

52 

48 

44

30 40 

36 

32

28 

24

30 20 

30 

12 

8 

4

30 0 

56 

52 

.48 

44

29 40 

30 

32 

28 

24

29 20 

36 

32 

8 

4

29 0 

50 

52 

48 

44

28 40 

36 

32 

28 

24

'28 20 

16 

12 

8 

4

28 0

m. s.

52C
GANNETT.] GEOGBAPHIC TABLES AND FOEMULAS. 157 

TABLE 19. Mve-place logarithms of circular functions, etc. Continued.

2h 38°

in. s.

32 0 

4 

8 

12 

16

32 20 

24 

28 

32 

30

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 

S 

12 

16

34 20 

24 

28 

32 

30

3-L 40 

44

48 

52 

50

35 0 

4 

8 

12 

10

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

'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

GO

L. Sin.

9. 78 934 

9. 78 950 

9. 78 907 

9. 78 983 

9. 78 999

9.79 015 

9. 79 031 

9. 79 047 

9. 79 003 

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. 79 403 

9. 79 478

9. 79 494 

9. 79 510 

9. 79 526 

9. 79 542 

9. 79 558

9. 79 573 

9. 79 589 

9. 79 005 

9. 79 62.1. 

9. 79 636

9. 79 652 

9.79 608 

9.79.084 

9. 79 699 

9.79 7.15

9. 79 731 

9. 79 746 

9. 79 762 

9. 79 778 

9. 79 793

9. 79 809 

9. 79 825 

9. 79 840 

9.79 856 

9. 79 872

9. 79 887

L. Cos.

d.

10 

17 

16 

1C

16

16 

16 

16 

16

16

16 

' 17 

10 

10

10

16 

16 

16 

16

16

16 

10 

10 

15

10

16 

10 

1.6 

1.6

16

16 

16 

1C 

15

16

16 

16 

16

16

15

10 

16 

10 

15

1C

10 

10 

15 

10

15 

10 

10 

15

16

16 

15 

16 

16

15

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. 89 403 

9. 89 489 

9. 89 515

9. 89 541 

9. 89 507 

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. 89 879 

9. 89 905

9. 89 931 

9. 89 957 

9. 89 983 

9. 90 009 

9. 90 035

9. 90 001 

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 

9. 90 527 

9. 90 553

9. 90 578 

9. 90 604 

9. 90 630 

9. 90 650 

9. 90 082

9. 90 70S 

9; 90 734 

9. 90 759 

9. 90 785 

9. 90 811

9. 90 837

L. Cotg.

c.d.

26 

26 20 

20

2C

20 

20 

26 

20

20

2G 

2C 

20 

20

20 

26 

20 

20

20

20 

20 

20 

26

26 

26 

26 

20

26

25 

26 

26 

26

26

20 

26 

26 

26

26

26 

 25 

26 

26

26

26 

26 

20 

20

26 

26 

20 

20

26

26 

25 

26 

26

c d

L. Cotg.

0. 10 719 

0. 10 693 

0.10 667 

0.10 641 

0. 10 015

0. 10 580 

0. 10 503 

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. 10 009 

0. 10 0-13 

0.10 017 

0.09 991 

0. 09 905

0. 09 939 

.0. 09 914 

0. 09 888 

0.09 862 

0. 09 830

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. 09 003 

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. 09 200 

0.09 241 

0.09 215 

0.09 189

0. 09 103

L. COS.

9.89 653 

9. 89 643 

9. 89 033 

9. 89 024 

9. 89 014

9. 89 004 ' 

9.89 594 

9. 89 584 

9. 89 574 

9. 89 50-1

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. 89 405

9. 89 455 

9. 89 445 

9. 89 4&5 

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 

9.89 102

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 

1011

10

10 

.1.0 

10 

10

10

10 

10 

10 

10

10 

1011

10 

10

10

10 

10 

10

11

10

10 

10 

10 

10

10 

10 

1011

10

d

00

59 

58 

57 

56

55 

54 

53 

52 

51

50

49

48 

47 

40

45 

44 

43 

42 

41

40

39 

38 

37 

36

35 

34 

33 

32 

31

:to

29 

28 

27 

26

25 

24 

23 

22 

2.1.

20

19 

18 

17 

16

15 

14 

13 

12 

11

10

9 

8 

7 

0

5 

4 

3 

2 

1

0

i

28 0 

56 

52 

48 

44

27 40 

30 

32 

28 

24

27 20 

16 

12 

8 

4

27 0 

50 

52 

48 

44

26 40 

36 

32 

28 

24

20 20 

1C 

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

51°
158 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2h 39°

ni. s.

36 0 

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 

66

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

60

L. Sin.

9. 79 887 

9. 79 903 

9. 79 918 

9. 79 934 

9. 79 950

9. 7D 965 

9. 79 981 

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. 80 136 

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 

9.80534 

9. 80 550 

9. 80 565

9.80 580 

9.80595 

9. 80 610 

9.80 625 

9. 80 641

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

15

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. 

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 

9.91 633 

9. 91 559 

9.91 585

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

26 

26 

25 

26

26

26 

25 

26 

26

25 

26 

2(5 

26

26 

26 

26 

25

26

26 

26

25 

26

26

25 

26 

26 

26

26 

26 

25 

26

25 

26 

26 

25

26

26 

25 

26 

26

C. d.

L. Cotg.

0. 09 163 

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. 08 750 

0. 08 724 

0. 08 699 

0.08673

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 

0.07 901

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 

9.83 906

9. 88 896 

9. 88 886 

9. 88 875 

9. 88 866 

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 

1011

10 

30

11

10 

10 

11 

10

10

11 

10 

11 

10

10

11

1011

1011

10 

1011

1011

1011

1011

10

11

1011

1011

1011 11

10

1011

101111

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

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

/

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 

32 

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 

36 

32 

28 

24

20 20 

16 

12 

8 

4

20 0

m. s.

50C
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 159

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

2h 40°

111. 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 

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

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. 81 269 

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 

9.81 619 

9. 8.1. 534

9.81 549 

9. 81 563 

9. 81 578 

9.81 692 

9.81 607

9.81 622 

9.81 636 

.9.81 651 

9.81 665 

9.81 680

9. 81 694

L. Cos.

d.

15 

15 

15 

15 

15

15 

15 

15 

15 

15

15 

18 

15 

15 

15

15 

14 

15 

15 

15

15 

15 

15 

15 

14

15 

15 

15 

15 

14

15 

15 

15 

15 

14

15 

15 

14 

15 

15

15 

14 

15 

15 

14

15 

15 

14 

15

14 

lf> 

14 

15 

15

14 

15 

14 

15 

14

d.

L. Tang.

9. 92 381 

9. 92 407 

9. 92 433 

9. 92 468 

9.92 484

9.92 510 

9. 92 6*1 

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. 92 996

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 89.1

9.93 916

L. Cotg.

c. d.

26 

26 

25 

26 

26

25 

26 

26 

25 

26

25 

26 

'25 26 

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 

25

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 

0.07 567 

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 2S5 

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 

0. 06 390 

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 1&5 

0.06 109

0. 06 084

L. Tang.

L. Cos.

9. 88 425 

9.88 416 

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. a3 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. 88 001

9.88 051 

9. 88 040 

9. 88 029 

9. 88 01.8 

9. 88 007

9. 87 996 

9.87 985 

9.87 975 

9.87 964 

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.

d.

10 

11 

10 

11 

11

10 

11 

11 

10 

11

11 

10 

11 

11 

10

11 

11. 

10 

11 

11

11 

10 

11 

11 

11

10 

11. 

11 

11. 

10

11 

11 

11 

11 

10

11 

11 

11 

1.1

11 

10 

1.1. 

11 

11

11 

11 11 11 11

1011 11 11

11 11 11 11 11

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

'

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

in. s

49C
160 GEOGKAPHIC TABLES AND FORMULAS. [BULL.214.

TABLE 19. Five-place logarithms of circular functions, etc. Continued.

2h 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

1011

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. 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. 81 854 

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 

35 

14 

15

14 

15 

14 

15

15 

14 

14 

15

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 

14 

15 

14

14 

14 

14 

14- 

14

14 

15

M 14

14

14 

14 

14 

14 

14

d.

L. Tang.

9. 9$ 916 

9.93 942 

9.93 967 

9. 93 993 

9. 94 018

9. 94 044 

9. 94 069 

9.94 095 

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

25

26 

25 

26 

25 

26

25 

26 

25 

26

OF;

26 

25 

26 

. 25 

26

25 

25 

26 

25 

26

25 

26 

25 

26

9^

26 

25 

25 

26

91

26 

25 

26 

25 

w

26 

25 

26 

25 

26

25 

25 

26 

 25

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 95G 

0.05 931 

0. 05 905 

0.05 880 

0.05 854

0. 05 829 

0. 05 803 

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. 05 039 

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 6.13 

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

9.87 501 

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 35fi 

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 

9.87 353 

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 

11

12 

11 

11 

11 

11

11 

11 

11 

11

1?,

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 

V?

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

'

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 

36 

32 

28 

24

14 20 

16 

12

8 

4

H 0 

66

52 

48 

44

13 40 

36 

32

28 

24

13 20 

16 

12 

S 

4

13 0 

56

52 

48 

44

12 40 

36 

32 

28 

24

12 20 

16 

12

8 

4

12 0

ni. s.

48C
UASNETT.] GEOGBAPHIC TABLES AND FOKMULAS. 161 

1VMLI3 19. Five-place logarithms of circular functions, etc. Continued.

2" 42°

m. s.

4& 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 

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 

30 

37 

38 

39

40

41 

42 

43 

44

. 45 

40 

47 

48 

49

50

51 

52 

53 

54

55 

56 

57 

58 

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. 82 049 

9. 82 063 

9. 82 077

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 

H

14 

13 

14. 

14 

14

14 

14 

14 

13 

14

14 

.14 

14 

14 

13

 14 

14 

14 

13 

44

14 

14 

13 

.14 

14

14 

18 

14 

14 

13

14 

14 

13 

14 

13

14 

14 

13 

14

10

14 

14 

13 

14

TO

d.

L. Tang.

9. 95 444 

9. 95 469 

9. 95 495 

9,95 520 

9. 95 545

9. 95 571 

9. 95 590 

9. 95 022 

9. 95 047 

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. 90 002 

9. 90 028 

9. 90 053

9. 96 078 

9.90 104 

9.96 129 

9.96 155 

.9.90 180

9.90 205 

9. 90 231 

9. 96 256 

9. 90 281 

9. 90 307

9.96 332 

9. 96 357 

9. 90 383 

9. 96 408 

9. 96 433

9. 96 459 

9. 96 484 

9.96 610 

9. 90 535 

9. 90 500

9. 90 586 

9.96 611 

9. 90 630 

9.90 062 

9. 90 087

9.96 712 

9. 96 738 

9.96 763 

9. 96 788 

9. 96 814

9. 96 839 

9. 96 864 

9. 90 890 

9.90 915 

9. 96 940

9. 90 906

L. Cotg.

c. d.

25 

20 

25 

25 

20

25 

26 

25 

25 

20

25 

25 

26 

25 

26

25 

25 

26 

25 

26

25 

25 

20 

25 

25

26 

25 

26 

25 

25

26 

25 

25 

26 

25

25 

26 

25 

25 

26

25 

20 

25 

25 

20

25 

25 

26 

25 

25

20 

25 

25 

26 

25

25 

26 

25 

25 

26

C. d.

L. Cotg.

0. 04 550 

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. 04 220 

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 5 16 

0. 03 490 

0.03 465 

0.03 440

0.03 414 

0. 03 389 

0. 03 304 

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, Taug.

L. Cos.

9.87 107 

9.87 090 

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. 80 947

9. 86 936 

9. 86 924 

9.80 913 

9. 80 902 

9. 86 890

9. 86 879 

9. 86 807 

9. 86 855 

9. 80 844 

9. 86 '832

9. 80 821 

9. 86 809 

9. 86 798 

9. 86 786 

9.86 775

9. 86 703 

9. 80 752 

9.80 740 

9.86 728 

9.86 717

9. 86 705 

9.86 094 

9. 80 682 

9. 86 670 

9.80 059

9. 86 647 

9.86 635 

9.86 624 

9.86 612 

9. 86 600

9.86 589 

9.86 577 

9. 86 565 

9.80 554 

9. 86 542

9. 86 530 

9. 86 518 

9.86 507 

9. 86 495 

9. 86 483

9.86 472 

9.86 460 

9.86 448 

9. 86 436 

9. 86 425

9.86 413

L.Sin.

(1.

11 

11 

12:i

12

11 

11 

12

1.1. 

1?

11 

12 

11 

12

12 

11 

11 

12 

11

12 

12 

11 

12 

11

12 

11 

12 

11n

11

12 

12 

11 

1?

11. 

12 

12 

11 

1?

12 

11 

12 

12

12 

12 

11 

12 

1?

12 

11 

12 

12 

11

12 

12 

12 

11

d.

GO

59 

58 

57 

50

55 

54 

53 

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 

16

15 

14 

13 

12 

11

10

 9 

8 

7 

C

5 

4

^ q

2 

1

0

'

12 0 

50 

52 

48 

44

11 40 

30 

32 

28 

24

11 20 

10 

12 

8 

4

11 0 

50 

52 

48 

44

10 40 

36 

32 

 28 

24

10 20 

10 

12

8 

4

10 0 

50 

52 

48 

44

9 40 

bC 

32 

28 

24

9 20 

16 

12

8 

4

9 0 

50 

52 

48 

44

8 40 

30 

32 

28 

24

8 20 

16 

12 

8 

4

8 0

m. s.

47c

Bull. 214 Oc
162 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2h 43°

m. s.

52 0 

4 

8 

12 

16

52 20 

24 

28 

32 

36

62 40 

44 

48 

52 

56

53 0 

4 

8 

12 

16

53 20 

24 

28 

32 

36

53 40 

44 

48 

62 

56

64 0 

4 

8 

12 

16

54 20 

24 

28 

32 

36

64 40 

44 

48 

62 

66

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

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 

9.83459 

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 

9.84059 

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 

14

13 

14 

13 

14

10

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

9.97851 

9. 97 877 

9.97 902 

9. 97 927 

9.97 963

9.97 978 

9. 98 003 

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 

9.98458

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 

26 

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. 85 924 

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 

9.85803 

9. 85 791 

9. 85 779 

9. 85 766

9. 85 754 

9. 85 742 

9. 85 780 

9.85 718 

9. 85 706

9.85 693

L. Sin.

d.

12 

12 

12 

11 

12

12 

12 

12 

12 

11

12

12 

12 

12 

12

12 

12 

11 

12 

1?

12 12- 

12 

12 

1?,

12 

12 

12 

12 

1?,

12 

12 

12 

12 

1?,

12 

12 

12 

12 

12

12 

12 

12 

12 

12

12 

13 

12 

12 

1?

12 

12 

12 

13 

12

12 

12 

12 

12 

13

d.

60

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

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

6 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
GANNETT.] GEOGRAPHIC TABLES AND FOEMULAS. 163 

TABLE 19. Five-place logarithms of circular functions, etc. Continued. 

2U 44°

111. 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 

62 

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

1.0

11 

12 

13 

14

15 

.16 

17 

18 

19

i!0

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. 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 

9.84540 

9. 84 553 .

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 83§ 

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

13 

12 

13 

13 

12

13 

13 

12 

13 

13

d.

L. Tang.

9. 98 484 

9.98509 

9. 98 534 

9. 98 560 

9. 98 585

9.98 610 

9. 98 635 

9. 98 661 

9. 98 686 

9. 98 711

9. 98 737 

9. 98 762 

9. 98 787 

9. 98 812 

9. 98 838

9.98863 

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. 99 191 

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. d.

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 

26 

25

c. «1

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. 01 112 

0.01 087 

0.01 061 

0.01 036

0. 01 Oil 

0.00 985 

0. 00 960 

0.00 935 

0. 00 910

0.00884 

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. 00 076 

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. 85 596 

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. 85 386 

9. 85 374 

9. 85 361 

9. 85 349 

9. 85 337

9. 85 324 

9.85 312 

9. 85 299 

9. 85 287 

9. 85 274

9. 85 262 

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 

9.84 986 

9. 84 974 

9. 84 961

9.84 949

L. Sin.

d.

12 

12 

12 

12 

13

12 

12 

12 

13 

12

12 

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.

(50

59

58 

57 

56

55 

54 

58 

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

m. s.

45°
164 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 20. Geodetic position computations.

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 e2 sin2 cp}*

A =

T> __

c =

E =

a arc V

(1 <?2 sin2 cp) % 

a (l e>) arcl" 

(1 e2 sin2 tpY tan q> 

2a2 (1-e2 ) arcl" 

f e2 sin g> cos g> arc V

1 e2 sin2 <p

(1 + 3 tan2 y) (1 e" sina y) 

6a"

F = Y5 sin. <p cos2 ^> arc'2 \

log a = 6.804 698 57 

log ft = 6.803 223 78 

log e2 = 7.830 502 57

log

log (f e2 arc V'} =2.692 168 7

log = 5.612 45 

log (^ arc2 !") = §. 291 96

Ratio adopted in this table is the Clarke value of the meter, namely, 1 meter = 

39.370432 inches.
GANNETT;] TABLES AND 165

TABLE 20. Geodetic position computations Continued.

LATITUDE 0°;

Lat.

o / 

00 00

1

2

3

4

05

C

7

8

9

10

11

12

13

14

15

16

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

62

53

64

55

56

57

58

59

60

log A

8. 509 726(i

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

65

65

65

55

65

8.509 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 6701

61

61

01

61

61

61

61

61

61 _

S.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

8.512 6756

55

55

55

54

54

54

53 ' 53

,53

8. 612 6752

52

51

51

51

50

50

49

49

49

8. 512 6748

logC

= -°°

Z.S707

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. 5097

5783

5866

9. 5950 

9. 6031

6111

6189

6266

6341

6416

9. 6489

logD

-co

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

logE

5. 6125

5

5

5

5

5

5

5

5

5

5.6125

5

5

5

5

5

5

5

5

5

5. 6125

5

5

5

5

5

5

5

5

5

5. 6126

6

6

6

6

6

6

6

6

6

5. 6126

6

6

0

7

7

7

7

7

7

5. 6127

7

7

7

8

8

8

8

8

8

5.6128

logF

-CO

6.057 '

6.358

6.534
166 GEOGKAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 1°.

[BULL. 214.

Lat.

I ° '

, 1 00

\

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

'58 57

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

58

58

58

8.509 7258

57

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

572

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

351

1.156

160

164

168

173

177

181

185

189

193

1. 197

201

205

209

212

216

220

224

227

231

1.2347

log E log F

5. 6128 6. 534

29

29

29

29

29

29

29

30

30

5. 6130

30

30

30

31

31

31

31

31

31

5. 6132 6. 658

32

32

32 

32

32

33

33

33

33

5. 6133

34

34

34

34

34

35

35 ! 35

35

5. 6136 6. 755

36

36 *

36

36

37

37

37

37.

38 :

5. 6138

38

38

 39

39

39

39

40

40

40

5. 6140 6. 834
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 2°.

167

Lat.

O 1

2 00

1

2

3

4

05

6

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

54

55

56

57

58

59

60

log A

8.509 7248

47

47

47

47

46

46

46

46

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

86

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

log B

8. 512 6708

07

06

05

04

03

02

01

6700

6699

8.512 6698

97

97

96

95

94

93

9190 '

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 065452'

51

' 50

49

47

46

46

43

42

8.512 6641

logC

' 9.95002

5363 .

5721

6076

6428

6777

7123

7467

 7808

8146

9. 98482

8815

9145

9473

9. 99799

6. 00122

0443

0762

1078

1392

0. 01703

2013

2320

2625 

2928

3229

3528

3825

4119

4412

0. 04703

. 4992

5279

5564

6847

6129

6408

6686

6962

7237

0. 07509

7780

8050 .

8317

8583

8848

9111

9372

9631'

0. 09890

0. 10146

0401.

0055

0907

1158

1407

1055

1902

21.47

2390

0. 12033

log D

1. 2347

383

419

454

489

524

559

593

027

661

1. 2694

. 727

760

793

826

858

890

922

953

1. 2984

1.3015

046

077

107

138

108

197

227

250

285

1.3314

343

372

400

428

450

484

612

539

667

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 log F.

5. 6140 0. 834

41

41

41

41

42

42

42

43

43

5. 0143

43

44

44

44

45

45

45

. 45

46

6. 6146 6. 901

46 47

47

47

48

48

48

49

49

5.0149

50

50

50

51

51

61

52

52

52

5. 0153 0. 959

53 

53 |

54 I

54 '

54 !

55

55

56

56 j

5. 6156 ;

57 !

57 I

57

58

58

59

59 ; 69

60

5.6160 7.010
168 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 3°.

[BULfc.214.

Lat.

o /

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

56

 57

 58

59

60

log A

8. 509 7225

25 "24

24

24

23

23

22

22

21

8.509 7221

20

20

19

19

18

18

17

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 

difE. 1"=-0.03.

8. 512 6641

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

6560

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

28

52

75

1. 4199

1. 4222

46

69

1. 4292

1. 4315

1. 4338

60

1. 4383

1. 4405

28

50

72

1. 4494

1. 4516

38 .

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

3049'

68

1. 5088

1. 5107

26

45

1. 5163

1.5182

1. 5201

19

38 .

56

75

1. 5293

1. 5311

29

1.5347

logE

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 AKD FORMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 4°.

La't.

0 /

' 4 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

5859^

60

log A

8. 509 7194

93

93

92

92

91

91

90

89

89

8. 509 718887.

87

86

$6

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. 509 716S

67

67

66

66

65

64

63

63

62

8.509 7] 61

60

60

59

58

57

57

56

55

55

8. 509 7154

logB. 

cliff. 1"= -0.04

8. 512 6647

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

5337

551.8

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

2491

2647 '

2800

2953

3104

3255

0. 33406

. 3556

3706

3855

4004

4152

4300

4447

4594

4740

0.34885-

log!)

1.5347

65

1. 5383

1.5401

18

36

54

71

1. 5489

1. 5506

1.5523

40

58

75

1. 5592

1. 5609

25

42

59

76

1.5692

1.5709. 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

57

73

1. 6088

1. 6103

18

33

48

1. 6163

77

1.6192

1.6207

21

36

51

65

80

1. 6294

1.6308

log E log F

5. 6188 7. 133

88

89

89

90

90

91

91

92

92

5. 6193

93

94

95

95

96

96

97

97

98

5. 6199 7. 168

5. 6199

5.6200

00

01

01

02

03

03

04 .

5. 6204

05

05

06

07

07 " .

08

08

09 ' 10

5.6210 '7.200 .

11 :

12 

12 !

13 ?

13

14

15

15

16

5. 6216

17

18

18

19

20

20

21

22

22

5. 6223 7. 229
170 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 5°.

[BULL. 214.

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

4041 '

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. 612 638.1

78

76

73

71

69

66

64

61

59

8.512 6356

54

52

49

47

44

42

39

37

34

8. 512 6332

29

27

24

21

19

16

14

11

09

8. 512 6306

03

6301

6298

96

93

90

88

. 85

82

8.512 6280

logC

0. 34885

5030

5175

5320

6464

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

39

31

43

55

67

79

1.7090

logE.

5.6223

24

24

25

26

26

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

5.625151 '

52

53

54

5455 '

5657 :

57

5. 6258

59

60

60

61

62

63

63

64

65 .

5. 6266

logF

7.229

7.256

7.282

i

7.306
GANNETT.] GEOGKRAPHIC TABLES AND FOBMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 6°.

171

Lat.

0 1

6 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

3031 '

32

33

34

35

36

37

38

39

40

41

42

43

.44

45

46

47

48

49

51' 50

52

53

54

55

 56

57

58

59

60

log A 

cliff. 1"=-0.02

8. 609 7105

04

03

02

01

01

7100

7099

98

97

8. 509 7096

95

94

93

92

91

91

90

89

88

8. 509 7087

86

85

8483'

82

81

80

79

78

8.509 7077

76

75

74

73

72

71

70

70

69

8. 509 7068

67

66

65

64

63

62

61

60

59

8.509 7058

57

56

55

53

52

51

50

49

48

8. 509 7047

logB 

cliff. 1"= -0.05

8. 512 6280

77

74

72

69

66

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

6199

8: 612 6196

94

91

88

85

82

79

76

73

70

8.512 6167

64

61 ' 58

55

52

49

46

43

40

S. 512 6137

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

6015

6128

6241

0. 46353

6465

6577

6689

6800

6911

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

26

38

50

61

73

85

1. 7196

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

1. 7604

15

25

36

1. 7646

56

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

80

81

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

06

5.6207

08

09

10

11

12

13

13

14

15

5.6216

, logF

f.306

7.329

7.351

,

7.371
"1-Y2 GEOGRAPHIC: TABLES AND FORMULAS. [BULL; 214:

TABLE 20; Geodetic position computations 

LATITUDE 7°.

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

" 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"=-Q.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

6998

97

96

95

94

8. 509 6993

91

90

89

88

87

86

84

83

82

8. 509 6981

logB 

cliff. 1"= -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

8.512 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

6. 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

306

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. 65464

logD 

diff.l"=+0.16

1. 7749

59

69

79

89

1. 7799

1. 7809

19

29

39

1. 7849

59 68

78

88.

1. 7898

1. 7908

17

27

37

] . 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

] . 8135

44

63

63

72

81

90

1. 8199

1.8208

17

1. 8226

3544 '

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. G335

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

' 6261

63

5. 6364

65

66

67

68

69

70

71

72

73

' 5.6374

logF

?.371

7.391

7.409

7.427
GANNETT,] GEOGRAPHIC. TABLES AND FOKMULAS.

TABLE 20. Geodetic position compulations Continued. 

LATITUDE 8°. '

173

Ltit.

o / 

8 00

1

2

3

4

05

6

. 7

S

9

]0

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 6981

 80

79

77

76

75

74

73

71

70

8. 509 6969

68

67

65

64

63

62

61

59

58

8. 509 6957

56

54

53

52

51

49

48

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 

did. 1"=- 0.06

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 5S35

32

28 '

24

20

17

13

09

C6

5802

8.512 579894 '

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

6698

94

90

86

' 8. 512 5682

log C

0. 55464

555

646

738

829

0. 55919

0. 66010

100

191

281

0. 56371

460

550

639

728

817

906

0. 56995

0. 57083

172

0.57260

348

436

523

611

698

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. 8<88

1. 8<96

1. 8E05

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

1725 '

1 . 8733

41

49

57

65

73

81

89

1.8796

1. 8804

1. 8812

log E 

cliff. 1"= +0.02

5. 6374

75

76

77

78

79

80

81

82

83

5. 6384

85

86

87

88

90 '

91

92

93

94

.=>. (i 95

96

97

98

99

5. 6<IOO

5. C401

02.

03

04

5. 6406

07

08

09

10

11

12

13

14

15

5. 6416

18

19

20

21

22

23

24

25

. 26

5. 6428

29

30

31

32

33'34

36

37

38

5. 6439 .

logF

7. 427

7. 444

7.461

7.476
174 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 9°.

[BULL. 214.

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

85

36

37

38

39

40

41

42

43

44

45

46

47

48

49

'5150

52

53 54

55

56

57

58

59

60

log A 

diff.l"=-0.02

8.509 6906

05

03

02

6901

6699

98

97

95

94

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

349

426

. 502

579

656

732

0. 63808

885

0. 63961

0. 64037

112

188

264

339

415

490

0. 64565

640

715

789

864

0. 64938

0. 66013

087

161 

235

0. 65309

logD 

cliff. l"=-t-0.12

1.8812

20

27

35

43

51

58

66

74

81

1.8889

1. 8897 

1. 890-1

12

19

27

34

42

50

57

.1.8964

72

79

87

1.8994

1. 9002

09

17

24

31

1. 9039

46

53

61

68

75

82

90

1.9097

1. 9104

1. 9111

19

26

33

40

47

54

61

69

76

' 1.9188

90

1. 9197

1. 9204

11

18

25

32

39

46

1. 9253

logE 

cliff. 1"= +0.02

o. 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

95

96

97

5. 6498

5. 6500

01

02

03

05

06

07

08

10

5.6411

log'P

!.476

7.490

7.505

7.518
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 10°.

175

Lut.

o /

10 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

61

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"=-0. 03

8.509 6822

21

19

18

17

15

14

32

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

' 68

67

65

64

8. 509 6762

60

69

57

56

54

53

51

50

48

8. 609 6746

45

43

42

40

38

37

35

34

32

8. 509 6730

logB 

cliff. 1"= -0.08

8.512 5432

27 .

23

19

14

10

05

540]

5396

92

8.512 5388

83

79

74

70

65

61

56

52

47

8.512 5343

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

08

8. 512 5204

5199

94

89

85

80

75

70

66

61

8. 512 5156 '

logC

0. 65309

 383

456

530

603

677

750 

823

896

0. 65968

0. 660-11

114

186

259

331

-103

475

5-17

619

691

0. 66762

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

686

654

723

791

0. 68860

928

0. 68996

0. 69064

132

200

' 268

336

404

471

0. 69539

logD 

cliff. 1"= +0.1.1

1. 9253

60

67

74

80

87

1. 9294

1. 9301

08

15

1. 9322

28

35

42

49

56

62

69

76

82

1. 9389

1. 9396

1. 9403

09

16

23

2936-

42

49

1.9456

62

69

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

log K log F 

cliff. 1"= +0.02

5. 6511 7. 518

12

13

15

16

17

18

20

21

22

5. 6524

25

26

27

29

30

31

33

34

35

5. 6536 7. 532

38

39

40

42

43

44

46

47

48

5. 6549

51

52

53

55

56

57

59

60

61

5. 6563 7i 544

64

65

67

68

69

71

72

73

75

5. 6576

78

79

80

. 82

83

84

86

87

88

5. 6590 7. 556
176 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position confutations Continued.

LATITUDE 11°.

[BULL. 214..

Lat.

0 '

11 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

2526'

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

5253'

54

55

56

57

58

59

60

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

61

49 ,

8. 509 6647

46

44

43

41

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 5108

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

86

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. 73043

106

168

230

293

355

0. 73417

' logD diff.l"=-t-0.10

1.9648

54

61

67

73

79

86

92

1.9698

1.9704

1. 9710

16

23

29

35

41

47

53

59

65

1. 9771

77

83

89

1.9795

1. 9801

07

13

19

25

1. 9831

37

43

49

55

61

67

73

79

85

1. 9890

1.9896

1.9902

08

14

20

25

31

37

43

1. 9949

54

60

66

72

77

83

89

94

1. 9900

2.0006

log E log F 

diff.l"=.+0.02

5. 6590 7. 556 .

91

93

94

95

97

98

5. 6599

5. 6601

02

5. 6604

05

06

08

09

11

12

13

15

16

5. 6618 7. 568

19

20

22

23

25

26

27

29

30

5. 6632

33

 35

36

37

39

40

42

43

45

5.6646 7. 580

47

49

50

52

' 53

55

56

58

59

5. 6661

62

64

65

66

68

69

71

72

74 .

5. 6675 7. 591
GANNETT.] GEOGBAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computalions^-Contmued.

LATITUDE 12°.

177

Lat.

o / 

12 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.l"=-0.03

5. 609 6630

29

27

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

68

66

64

62

61

8. 609 0559

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. 1"=-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

.55

8. 512 4749

44

39

33

28

23

17

12

06

4701

8. 512 4690

90

 85

79

74

08

63

157

52

46

8.512 4641.

35

30

24

19

13

08

4602

4597

91

8. 512 4586

80

75

69

63

58

52

47

41

35

8.512 4530

logC

0. 73417

479

541

003

004

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

304

0. 70422

481

539

597

055

713

771

828

886

0. 76944

0. 77001

logD 

Cliff. 1"= +0.09

2.0006

11

17

 23

28

34

40

45

51

57

2.0002

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

03

09

74

2. 0279

84

90

2. 0295

2. 0300

05

10

10

21

20

2. 0331

log JS 

cliff. 1"-- +0.04

?. 6675

77

78

80

81

83

84

86

87 -

89

5. 6690

92

93

95 ° 96

98

99

5.6701.

02

04

5. 6705

07

08

10

11

. 13

14

16

17

19

. 6.6720

22

24

25

27

28

30

31

33

34

5. 6736

37

39

41

42

44 -

45

47

48

50

5. 6751

53

55

50

58

59

01

02

04

- 00

 5. 6767

log F

7.591

7.601

7.611

7.621

Bull. 214 
178 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 13°.

[BULL. 214.

Lat.

O '

13 00

1

2

3

4

05

'76

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

'11

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

7270'

68

66

8. 509 646463'

-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

58' 64

52

46

8.5J2 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

030

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

415

470

525

579

634

588

743

0. 79797

851

905

0. 79960

0. 80014

068

122

176

230

284

0.80337

log 0 

cliff. 1"=+0.08

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

0813 

18

23

28

2. 0533

38

42

47

52

57

62

67

72

76

2.0581

86

91

2. 0596

2. 0601

05

.10

15

20

24

2. 0629

log E 

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

12

14

5. 6816 '

17

19

20

22

24

25

27

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

log F

7.02.1.

1. 031

7. 040

7.649
OANNKTT.] GEOGEAPHIC TABLES AND FORMULAS.

TAWLE 20. Geodetic position compulations Continued. 

LATITUDE 14°.

179

Lul.

O '

14 00

1

2

3

4

05

(i

7

8

9

:io

11.

1213

14

.15

JO

17

IS

19

20

21

22

23

24

25

20

27

28

29

 M

31

32

33

34

35

30

37

38

39

 10

41

. 42

 13

44

45

40

47

48

49

50

5.1

52

53

54

55

50

57

58

59

00

log A 

difV.l"=-0.03

8. 509 0405

03

G-IO.I.

0399

97

95

93

91

89

87

8.509 0385

83

 81

79

77

75

73

71

09

07

8. 509 0305

03

01

58

50

54

52

50

48

46

8.509 0344

42 '

40

38

30

34

32

29

27

25

8.509 0323

21

19

17

15

13

11

08

00

04

8. 509 0302

0300

0298

 90

94

92

89

87

85

83

8. 509 0281

log B 

diir.l"=-0.10

8.512 -1180

74

08

02

50

50

44

38

32

20

8. 512 4120

14

08

4101.

4095

89

83

77

71

05

8.512 4059

52

40

40

34

28

21

15

09

4003

S. 512 3997

90

84

78

72

05

59

53

47

40

8.512 393-1

28

22

15

09

3903

3890

90

84

77

8.512 3871

05

58

52 

45

. 39

33

26

20

13

8.512 3807

logC 

difi.l"=+O.S7

[i. 80337

391

445

 198

552

005

. 059

712

705

319

0. 80872

925

0. 80978

0.81031

 084

137

190

243

295

348

0. 81401

453

500

558

Oil

003

715 '707

820 872

0. 81924

0.81976

0. 82028

080

131

183

. 235

287

338

390

0. 82441

-193

544

590

047

098

749

800

852

903

0. 82954

0. 83005

055

100

157

208

258

309

300

410

0. 83401

logD 

dilT.l"=+0.08

2. 0029

34

39

43

48

53

58

02

07

72

2. 0070

81

80

90

2. 0095

2. 0700

04

09

14

18

2. 0723

28

32

30

41

40

51

55

00

04

2. 0709

73

78

83

87

92

2. 0790

2. 0801

05

10

2.0814

19

23

28

32

37

41

40

50

54

2. 0859

03

OS

72

77

81

85

90

94

2. 0899

2. 0903

log E 

difr.l"=+0.03

5. 0805

07

09

71

72

74

76

77

79

81

5. 0882 

84

80

88

89

91

93

94

96

98

5. 0900

01

03

05

06

08

10

12

13

15

5.0917

19

20

22

24

20

27

29

31

33

5. 0934

30

38

40

41

43

45

47

48

50

5. 0952

54

55

57

59

01

03

04

06

08

5. 0970

log F

7. 649

7. 058

7.607

7. 075
180 GEOGRAPHIC TABLES AJSTD FOEMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 15°.

[BULL. 214.

Lat.

o / 

15 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"=-0.04

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

60

58

55

63

51

8. 509 6149

logB 

cliff. 1"=-0.11

8.512 3807

3801

3794

88

81

75

68

62

66

49

8.512 3743

36

30

23

17

10

3704

3697 '

91

84

8. 512 3677

71

64

58

51

45

38

31

26

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

8.512 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

246

293

342

390

0. 85439

487

. 536

584

C33

681

729

777

825

874

0. 85922

0. 85970

0. 86018

066

113

161

209

257

304

362

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

 >. 1074

78

82

S«

90

94

2. 1099

2. 1103

07

11

2.1115

19

23

27

31

35

39

44

48

52

2. 1156

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 -

log P

7. 675

7.683

7.691

7.698
GANNETT.] GEOGEAPHIO TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 16°.

181

Lilt.

O 1

1C 00

1

2

3

4

05

G

7 ' 8

9

10

11

12

1.3

14

15

16

17

18

19

20

21

22

23

24

25

20

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

5i

53

54

55

50

57

58

59

GO

log A 

cliff. 1"= -0.04

8. 509 01.49

40

44

42

40

37

35

33

30

28

8. 509 0126

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

' 0163

59 .

8. 509 6056

64

52

49

47

45

42

40

37

35

8.509 6033

30

28

26

23

21

18

16

14

11

8. 509 0009

logB 

diff.l"=-0.12

8. 512 3411

3404

3397

90

83

70

7063 '

56

49

8. 51.2 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

43

41

8. 512 3133

26

19

j!2

3105

3098

91

84

77

70

8.512 3063

56

48

41

34

27

20

13

3006

2998

8. 512 2991

logC 

d iff. 1"= +0.77

0. 86400

447

495

542

590

637

684

732

779

820

0. 80873

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. 88209

315

360

406

452

498

543

589

634

680

0. 88726

771

816

862

907

952

0.88998

0. 89043

088

133

0. 89178

logD 

diff.l"=+0.06

2. 1150

CO

64

68

72

70

80

84

88

92

2. 1190

2.1200

04

08

12

16

20

24

28

32

2. 1236

40

44

47

51

55

59

63

67

71

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

60

59

63

67

71

74

78

82

86

2.1390

log E 

diff.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

61

52

54

5.7156

58

60

62

64

66

68

70

72

74

5. 7170

78

80

82

84

80

88

90

92 .

94

' 5.7196

log F

7.098

7.705

7.712

7.719
182 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 17°.

[BULL. 214.

Lat.

o / 

17 00

1

2

3

4

05

C

7

8

9

30

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

30

37

38

39

40

41

42

43

44

45

4C

47

48

49

50

51

52

53

54

55

56

 57

58

59

60

log A 

diff.l"=-0.04

' 8. 509 6009

06

04

(1002

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 5802

logB 

diir.l"=-0.]2

8.512 2991

84

77

70

62

55.

48

41

34

20

8.512 2919

12

2905

2897

90

83

70

68

61

54

8.512 2846

39

32

24

17

10

2802

2795

88

80

8.512 2773

60

58

51

44

36'

29

21

14

2707

8.512 2099

92

84

77

69

62

65

47

40

32

8.512 2625

17

10

"2602

2595

87

80

72

65

57

8. 512 2550

logC 

diif.l"=-0.73

0. 89178

223

268

313

358

403

448

493

538

583

0. 89627

672

717

761

800

850

895

939

0. 89984

0. 90028

0. 90072

117

161

205

249

294

338

382

. 426

470

0. 90514

558

602

C46

. 689

733

777

821 

864

908

0. 90952

0. 90995

0. 91039

082

126

109

212

256

299

342

'0.91386

429

472

515

558 .

601

644

687

730

773

0. 91816

logD 

diff.l"=+0.06

2.1390

93

2.1397

2. 1401

04

08

12

16

19

23

2.1427

30

34

38

42

45

49

53

50

60

2. 1464

67

71 '75

78

82

85

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. 157.1

75 

78

82

85

89

92

96

2. 1599

2. 1603

2.1606

logE. 

diff.l"=+0.03

5. 7196

97

99

5. 7201 .

03

' 05

07.

09

11

13

5. 7215

17

19

21

23

25

27

29

31

33

5. 7235

37

39

41

43

45

47

49

51

53

5.7255 .

57

59

61

64

66

68

70

72

74

5. 7276

78

80

82

84

86

88

90

92

94

5. 7296

5. 7298

5. 7300

02

04

06

08

11

13

15

5. 7317

' log F

77719

7. 726

7.732

7.738
GANNETT,] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

, . . ' LATITUDE 18°.

183

Lilt.

o / 

18 00.1

2

n

 1

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

 10

41

42

'13

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58.

59

60

log A. 

<:lifT.l"=-0.04

8.501) 58C2 

59

57

54

52

49

46

44

41

39

8. 509 5836

34

31

29

2C

24

21

19

16

13

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

C7

05

62

8. 509 5759

57

64

52

49

46

44

41

39

36

8. 609 5733

31

28

25

23

20

18

15

12

10

8. 509 5707.

logB 

cliff.l"=-0.13

H.512 2550 

fa

35

27

19

12

8. 512 250<l

8. 512 2497

89.

81

8.512 2474

06

59

51

43

36

28

20

13

8.51.2 2405

8.512 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. 612 2165

57

49

41

33

25

17

10

8.512 2102

8.512 2094

8. 512 2086

logC 

cliff. 1"= +0.70

0. 91816 

869

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

106

207

248

289

0. 94330

logD 

cliff. 1"=+0.06

2. 1000 

10

13

17 *

20 

24

27

31

34

38

2. 1041

44 .

48

.5155'

58

62

65

68

72

2. 1675

79

82

85

89

92

95

2. 1699

2. 1702

 06

2. 1709

12

10

19

22

26

29

32

36

39

2. 1 742

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

46

48

50

52

54

56

5. 7358

60

02

64

67 

69

. . 71

73

75

77

5. 7379

81

83

85

88

90

92

94

90

5. 7398

5. 7400

02

05

07

09

11

13

15

17

19

6.7422

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
184 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic vosition computations- Continued. 

LATITUDE 19°.

[BULL. 214.

Lat.

o /

19 00

1

2

3

4

05

6

7

8

9

10

11

]2

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

60

log A 

diff.l"=-0.04

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. 609 5598

95

92

89

'87

84

81

78

76

8.509 6573

70

68

65

62

59

57

54

51

48

8.509 5546

logB 

diff.l"=-0.13

8. 512 2086

78

70

62

54

46

38

30

22

14

8. 512 2006

8. 612 1999

91

83

75

67

59

51

43

35

8.512 1927

19

11

8.512 1903

8.512 1895

87

. 79

71

63

55

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 

diff. 1"= +0.05 diff

2. 1808

11

14

18

21

24

27

30

34

37

2.1840

43

46

50

63

66

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

63

56

59

62

2. 1965

68

71

74

77

80

83

86

89

92

2. 1996

logE logF 

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

82

84

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.] GEOGKAPHIC TABLES AJSID FOBMULAS.

TABI/K 20. Geodetic position compulations Continued.

LATITUDE 20°.

185

Lat.

o / 

20 00

I

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

88

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"= -0.05

8. .509 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

log B 

cliff. 1"= -0.14 d

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

62

44

8. 512 1435

27

18

10

8. 512 1402

8.5.12 1393

85

76

68

60

8.512 1351

43

34

26

17

09

8. 512 1301

8.512 1292

84 ' 76

8.512 1267

58

50

41

33

24

16

8.512 1207

8.512 1199

90

8.612 1182

73

64

56

47

39

30 .

21

13

8.512 1104

8.512 1096

logC 

ff.l"=+0.64

Q. 96733

772

811

850

889

928

0. 96967

0. 97006

046

084

Q. 97123

162

. 201

240

279

318

356

395

434

472

0.97511

550

588

627

666

704

743

781

819

858

0.97896

936

0. 97973

Q. 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

diff.l"=+0.05

2.1996

2. 1999

2.2002

05 .

08

1.1

14

17

20

23

2. 2026

28

31

34

37

40

43

46

49

52

2.2055 68

61

64

67

70

73

76

79

81

2.2084

87

90

93

96

2. 2099

2. 21.02

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 

diff.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

1.7

5. 7619

21

24

26

28

30

33

35

 37

40

5. 7642

44

46

49

51

53

55

58

60

62

5. 7664

67

69

71

74

76'

78

81

83

86

5. 7688

90

92

94

97

5. 7699

5. 7701

04

06

08

5. 7711

logF 

diff.lO'=+2.6

7.772

7.777

7.782

 7.787.
186 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 21°.

[BULL. 214.

Lat.

o / 

21 00

1

2

3

4

05

0

7

8

9

10

11

12

33

14

15

1C

17

18

]9

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

57

58

59

' GO

log A 

difE.l"=-0.05

8. 509 5377

74

71

68

66

63

GO

57

54

51

8.509 5348

40

43

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

70

73

70

07 64

8. 509 5201

58

55

52

49

46

44

41

38

35

8.509 5232

29

26 ' 

23

20

17

14

11

08

05

8. 509 5202

logB 

diff.l"=-0.15

8.512 1096

87

79

70

62

' 5345

30 ' 27

19

8.512 1010

8.512 1002

8. 512 0993

84

70

07

58

50

41

32

8. 512 0924

15

.8.512 0900

8. 512 0897

89

80

71

62

54

45

8. 512 0836

27

19

10

8.512 0801

8.512 0792

84

75

00

57

8.512 0748

39

31

22

13

8. 512 0704

8.5.12 0695

8078 

09

8.512 0600

. 51

42

33

24

15

8. 512 0606

8.512 0598

89

80

8.512 0571

logC 

clifl.l "=+0.062 diff

0. 99037

075

112 ^

150

187

225

202

300

337

375

0.99412

450

487

524

502

599

636

673

711

748

0. 99785

822

859

890

933

0.. 99971

1.00008

045

082 '

119

1.00150

192

229

200

303

340

377

413

450

487

1. 00524

 500

597

034

670

707

743

780

810

853

1.00890

926 .

962

1.00999

1.01035

072

108

144

181

217

1. 01253

logD 

1"=+0.04

2. 21.70

73

76

79

81

84

87

90

93

95

2.2198

2. 2201

04

07

09

12

15

18

20

23

2. 2220

29

31

34

37

40

42

45

48

50

2. 2253

56 

59

61

04

67

09 ' 72

75

. 78

2. 2280

83

86

88

91

94

96

2. 2299

2. 2801

 04 

2. 2307

09

12

15 .

17

20

23

25

28

31

2. 2333

log E log F 

diff.l"=+0.04 diff. 10'= -1-2.2

5. 7711 7. 787

13

15

IS

20

22

24

27

29

31

5.7734

30

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 ' i

5. 7799

5. 7802

5. 7804 7. 790

00

09

11

13

1C

18

20

23

25

5.7828

30

32

35

37

40

42

44

47

49

5. 7851 7. 800
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 22°.

187

Lat.

o / 

22 00

1

2

3

4

05

0

7

8

9

10

11

32

13

14

15

16

17

18

19

20

21

22

23

24

25

20

 27

28

29

30

31.

32

33

34

35

30

37

38

39

<IO

'11

42

43

44

45

40

47

48

49

50

51

52

5354 -

55

50

57

58

59

GO

log A 

diff.l"=-0.05

8. 509 5202

8.509 5199

9693 '

90

87

84

81

78

75

8.509 5172

69

GO

63

GO

57

54

51

48

45

S.509 51.42

39

36

33

30

27

24

21

38

15

8. 509 5112

09

00

03

8. 509 5100

8.509 5097

94

91

88

85

8. 509 5082

79

76

72

09

66

03

GO

57

54

8. 509 5051

48

45

42

39

30

33

30

27

23

8.509 5C20

logB 

cliffi.l"=-0.15

8.512 0571

02

53

44 

35

20

17

8. 512 0508

8. 512 0499

90

8. 512 0481

72

63

54

45

30

27

18

09

8.512 0400

8. 512 0391

82

73

04

55

46

37

28

19

10

8. 512 0301

8.512 0292

83

73

04

55

40

37

28

39

8.512 0210

8. 512 0200

8.512 0191

82

' . 73

04

55

40

36

27

8.512 0118

09

8. 512 0100

8. 512 0090

81

72

03

54

44

35

8.512 0020

logC 

Cliff. 1"= +0.59

1.01253

289

320

362

398

434

470

506

542

578

1, 01616

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

051

1. 02080

721

757

792

828

803

 898

933

1 -02909

1 -03004

1. 03039

074

109

145

180

215

250

285

320

355

] . 03390

logD 

cliff. 1"= +0.04

2. 2333

30

38

41

44

46

49

51

.54

57

2. 2359

62

64

07

70

72

75

77

80

83

2. 2385

88

90

93

95

2. 2398

2. 2400

03

00

08

2.2411

13

10

18

23

23

20

28

3.1.

33

2. 2436

 38

41

43

46 .

48

51

53

50

58

2. 2461

63

GO

08

70

73

75

78

80

83

2.2485

log is

cliff. 1"= +0.04

5. 7851

54

50

59

61

63

60

08

71

73

5. 7875

78

80

83

85

87

90

92

95

97 .

5. 7899

 5. 7902

04

07

09

11

14

16

39

21

6: 7924

26

28

31

33

36

38

41

43

45

5. 7948

50

53

55

58

60

02

65

67

70

5. 7972

75

77

80

82

84

87

89

92

94

5. 7997

logF 

cliff. 10'= +2.0

7.800

7.804

7.808

7.812
188 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations ContinuedLATITUDE 23°.

[BULL. 214.

Lat.

O 1

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

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

8.509 5020

17

14

1108 

05

8. 509 5002

8. 509 4999

96

93

8. 509 4990

87

83

80

77

74

71

68

65

62

8. 509 4959

65

52

49

46

43

40

37

34

31

8. 509 4927

24

21

18

15

12

09

05

8. 609 4902

8. 509 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 

cliff. 1"= -0.16

8. 512 0026

17

8. 512 0008

8. 611 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-&U9803

8. 511 9794

84

75

66

66

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

IS

20

2325'

2. 2627

log-E 

d iff. 1"= +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

0406 '

09

11

14

16

19

5. 8121

24

26

29

31

34

36

39

41

44

5. 8146

logF 

diff.lO'=+l.S

7.812

7.816

7.819

7.823
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 24°.

189

Lat.

o / 

24 00

1

2

3

4

05

6

7

8

9

30

11

12

13

14

15

16

17:is

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

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

cliff. 1"=-0.05

8. 509 4833

30

26

23

20

17

14

10

07

0>l

8. 509 4S01

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 

cliff. 1"=-0.16

8.511 9463

63 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

61

52

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

. 68

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 

cliff. 1"= +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 

cliff. 1"=+0.04

2. 2627

29

31

34

36

bS

41

43

45

47

2.2650

52

54

56

59

61

63

65

68

70

2. 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 

cl iff. 1"= +0.04 cli(T.10'=+1.6

5. 8146 7. 823

49

51

54

57

59

. 62

64

67

69

5. 8172

74

77

79

82

85

87

90

92

95

5.8197 7.826

5. 8200

02

05

07

10

13

15

18

20

5. 8223

25

28

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 I

87

90

92

95

5. 8298

5.8300 7.832
190 GEOGKAPHIC'TABLED 'AND FOKMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 25°.

[BULL. 214,

Lilt.

o /

25 00

1

2

3

4

05

C

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

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

diflf.l"=-0-06

8.509 ' 403930

32

29

20

23

19

10

13

09

8.509 4000

03

8.509 4000

8. 509 '4590

93

90

80

83

80

70 .

8.509 4573

70

60

63

60

56

53

50

40

43

8. 509 4540

37

33

30

20

23

20

17

13

10

8. 509 4507

03

8.509 4500

8. 509 4490

93

90

86

83

80

76

8. 509 4473

70

60

03

CO

56

53

50

46

43

8.509 4439.

logB 

dirt. l"= -0-10

8.511 8881.'

71

02

52

42

32

22

12

8. 511 8802

8.511 8793

8. 511 8783

73

63

53

43

33

23

13

8.51.1 8704

8. 511 8094

8. 511 8684

74

64

54

44

34

2414 '

8. 511 8004

8.511 8594

S.'51.1 8584

74

04

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 

cliff. l"=-r0'54

1. 07457

490

523

555

588

621

654

087 .

719

752

1 . 07785

817

850

883

915

948

1. 07981

1.08013

040

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

'823 791

855

887

919

951

1.08984

1. 09016

048

1. 09080

112

144

176

208

240

272

304

336

308

1. 09400

log D 

cliff. 1"= +0-03

2.2759

01

63

66

68

70

72

74

76

78

2. 2780

82

85

87

89

91

93

95

97

2. 2799

2. 2801

03 '

05

07

10

12

14

16

18

20

2. 2822

24

26

28

30

32

34

36

38

40

2. 2842

44

40

48

50

52

54

56

58

CO

2. 2802

64

66

68

70

72

74

70

78

80 .

2.2882

log E log F 

cliff. 1"=+0-04 diff. 10'=+l-5

5/8300 7. 832

03

05

08

11

13

16

18

2124-

5. 8326

29

32

34

37

39

42

45

47

50

5. 8352 7. 835

55

59

60

63

60

08

71 -73

70

5. 8379

81

84 '

87

89

92

94

5. 8397

5. 8400

02

5.S405 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
GANNKTT.J GEOGRAPHIC TABLES ADD FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 26°.

Ltit.

O 1

20 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

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

51

52

53

54

55

50

57

' 68

59

60

log A 

cliff. 1"=-0'06

8. 509 4439

36

33

29

26

22

19

16

12

09

8. 509 4400

8. 509 4402

8. 509 4399

95

92

88

85

82

78

75

8. 509 4372

68

05

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

80

83

79

70

72

8.509 4209

65

02

58

55

52

48

45

41

38

8. 509 4234

log B 

cliff. 1"= -0-17

8. 611 8283

72

02

52

42

32

22

12

8. 51 1 8201

8.511 8:1 91

8.511 8181

71

61

51

40

30

20

10

8.511 8100

8. 511 S089

8. 611 8079

69

59

48

38

28

18

8. 511 8008

8.511 7997

87

8.511 7977

67

50

40

36

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

GO

50

40

29

19

8. 511 7709

8.511 7098

88

77

8.511 7007

logC 

Cliff. 1"= +0-52

1. 09400

432

464

496

527

559

591

623

655

087

1. 09718

750

782

814

845

877

909

940

1.09972

1. 10004

1.10030

007

099

130

162

194

225

257

288

320

1. 10351

383

414

446

477

509

540

571

603

634

1. 10666

097

728

760 '

791

822

854

885

916

947

1.10979 

1.11010

041

072

103

134 '

106

197

228

259

1.11290

logD 

cliff. 1"=+0'03

2. 2882

84

80

88

90

92

94

90

2. 2898

2. 2900

2. 2902

04

. 00

08

10

12

14

10 ' 18

20

2. 2922

23

26

27

29

31

33

35

37

39

2. 2941.

43

45

47

48

50

52

54

50

58

2. 2900

62

63

65

07

09

71

73

75

77

2. 2978

80

82

84

80

88

89

91

93

95

- 2. 2997

log E log E 

diff.l"=+0-04 cliff.lO'=H-r3

5.8468 7.841

61 * .

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

5. 8539

41

44

47

49

52

55

57

60

63

5. 8566 7. 846

68

71

74

76

79

82

85

87

 JO

5. 8593

95

5:8598

5. 8601

04

06

09

12

14

17

5. 8620 7. 849
192 GEOGRAPHIC TABLES AND FORMULAS. - 

TABLE 20. Geodetic position compulations Continued.

LATITUDE 27°.

[BULL. 214.

Lat.

o / 

27 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

61

52

53

54

55

56

57

58

59

60

log A 

diff.l"=-0.06

8. 609 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. 509 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 

diff.l"=-0.18

8.511 7667

57

46

36

25

16

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

8.611 7142

31

21

10

8.511 7100

8.511 7089

78

68

57

46

8. 511 7036

logC 

diff.l"=+0.51

3.11290

321

352

383

414

445

476

607

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

i. 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

48

50

2. 3051

53

55

57

58

60

62 

64

65

67

2. 3069

70

72

74

76

78

79

81

83

85

2. 3086

88

90

91

93

95

97

2. 3099

2. 3100

02

2.3104

logE 

diff.l"=+0.05

5. 8620

23

25

28

31

34

36

39

42

44

5. 8647

50

53

55

58

61

64

66

69

72

5. 8675

77

80

83

86

88

91

94

97

5. 8699

5. 8702

05

08

10

13

16

19

22

24

27

5. 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.] GEOGEAFHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 28°.

193

Lat.

o / 

28 00

1

2

3

4

05

6

7

8>

y

10

11

12

13

. 14

15

16

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

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

55

52

48

8. 509 38-15

41

37

34

30

26

23

19

16

12

8. 509 3808

logB 

cliff. 1"= -0.18

8.511 7036

25

14

8.511 7004

8. 511 6993

82

72

61

50

40

8. 511 6929

18

8.511 6908

8. 611 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 

d iff. 1"= +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

867

 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 

diff.l"=+0.03

2. 3104

05

07

09

10

12

14

16

17

19

2. 3121

22

2426 

27

29

31

32

34

36

2. 3137

39

41

42

44

46

47

49

51

52

2.3164

56

57

59

61

62

64

65

67

69

2. 3170

72

74

75

77

78

80

82

83

85 .

2. 3187

8890 

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

6.8955

logF 

dirt. 10"= +1.0

7.855

7.857

7.859

7.861

Bull. 214 03
194 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 29°.

[BULL. 214.

Lilt.

o /

20 00

1

2

3

 1

05

0

7

8

9

10

11

12

13

 14

15

16

17

18

19

20

21

22

23 ' 24

25

26

27

! 58

; 29

'30

31

32

33

34

35

36

37

38

39

40

! 41

42

43

44

45

40

47

48

49

50

51

52

53

54

55

56

57

58

59

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 

diff.l"=-0.18

8.511 6389

78

68

57

46

35

24

13

8.511 6302

8.511 6291

8. 511 6280

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

8.611 5840

29

- 18

8.511 5806

8.511 5795

84

73

62

51

40

8.511 5729

logC 

diff. 1"=+0.49

1. 14932

961

1. 14991

1. 15021

050

080

109

139

168

198

1.15228

257

287

316

346

375

405

434

464

493

1.15522

552

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

log D 

diff. 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

61

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

log E 

diff. 1"= +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

68

61

64

67

5. 9069

72

75

' 8178

84

87

90

93

96

5. 9098

5.9101

04

07

10

13

' 1916

22

25

5. 9127

logF 

diff. 10'= +0.8

7. SCI

7.863

7.864

7. 866
GANNCTT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 30°.

195

Lut.

O 1

30 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

1.5

1C

17

18

1.9

20

21

22

23

24

25

20

27

28

29

30

31

32

33

34

35

36

37

38

39

- -10

-11

'12

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

GO

log A . 

(lift. 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. 509 '3602

8. 509 3499

95

91

88

8-1

80

8. 509 3-176

72

69

65

61

57

54

50

46,

42

8.509 3439

35

31 .

27

24

20

16

12

09.

05

8.509 3401

8. 509 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 '6617

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

8.611 5404

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. 1"= +0.48

1.16692

721

750

778

807

836

865

894

952' 923

1. 16981

1.17010

039

068

097

126

155

18-1,

212

241

!1 . 17270

299

328

357

385

414

443

472

500

529

1. 17558

587

615

044

673

701

730

759

788

816

1. 17845

874

902

931

959

1. 17988

1 . 18017

045

074

102

1. 18131

160

188

217

245

274

302

331

359

388

1.18416

log]) 

cliff. 1"= +0.02

2. 3294

96

97

2. 3298

2. 3300

01

03

04

06

07

2. 3309

10

12

13

I't

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

6869 

70

72

73

74

76

77

2. 3379

log E log F 

cliff. 1"=+0.05 cliff. 10' =H-0.7

5. 9127 7. 806

30

33

36

39

42

45

48

51

54 

5. 9157

59

62

65

68

71

74

77

80

83

5. 9186 7. 867

89

92

95

5. 9198

5. 9200

03

06

09

12

5. 9215

18

21

24

27

30

33

36

39

42

5. 9245 7. 869

48

WL

53

56

59

62

65

68

71

5. 9274.

77

80 '83

86

8992'

95

5'. 9298

5. 9301

5.9304 7.870
196 GEOGBAPHIC TABLES AND FOBMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 31°.

[BULL. 214.

Lat.

o / 

31 00

1

2

3

4

05

6

7

8

9

10

11

. 12

13

14

15

10

1718-

19

20

21

22

23

24

' 25

26

2728 

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 

dirt. 1"= -0.06

8. 509 33G3

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

68

65

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

81

77

8. 509 3173 69

65

61

57

. 5450 '

46 -

42

38

8. 509 3134

logB 

cliff. 1"= -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 4827

15

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 

dirt. 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

676

604

632

660

688

716

744

772

800

1.19828

856

884

912

940

968

1. 19996

1. 20024

052

080

1.20108

log D 

dirt. 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

 13

2. 3444

45

46

48

49

50

51

53

54

55

2.3456

log E log F 

dirt.l"=+0.05 difT.10'=+0.5

5. 9304 7. 870

07

10

13

16

19

22

25

28

31

5. 9334

37

39

42

45

48,

51

5-1

57

60

5. 9363 7. 871

66

69

72

75

78

81

84

87

90

5. 9393

. 96

5. 9399

5. 9402

05

08

11

14

17

20

5. 9423 7. 872

26

29

32

36

38

41

44

47

50

5. 9453

56

59

62

65

68

72

75

78

81

5. 9484 7. 873
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLK 20. Geodetic position 'computations Continued. 

LATITUDE 32°.

197

. Lat.

o / 

:.!2 00

1

2

3

-I

05

0

7

8

9

10

11.

12

13

H

15

1C

.1.7

IS

1.9

20

21

. 22

23

24

25

20

27

28

29

30

31.

32

33

34

35

36

37

38

39

-10

'II

42

'13

44

45

40

 17

48

49

50

51

52

53

54

55

5C

57

58

59

60

f 1

log A 

diff.l/'=-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

S.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

06 

8.509 2901

logB 

diff.l"=-0.19

8. 511 4308

56

44

33

21

8. 511 4310

8. 511 4298

87

75

63

8.511 4252

40

29

17

8.511 4205

8.511 4194. 82-

71

59

47

8.511 4136

24

13

8.511 4101

8. 511 4089

78

66

54

43

31

8. 511 4020

8.511 4008

8.611 3996

85

73 .

61

50

38

2(1

15

8.511. 3903

8.511 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

8.611 3669

log C . 

diff.l"=+0.46

1. 20108

136

164

192

220

248

276

304

332

360

J. 20387

415

443

471

499

527

555

682

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

logD 

diff.l"=+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. 3481

82 

83

84

85

'87

88

89

90

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

26

26

2. 3527

log E log F 

diff.l"=+0.05 difF.10'=+0.3

5. 9484 7. 873

87

90

93

96

5. 9499

5. 9502

05

08

11

5. 9514

17

20

23

26

29

32

35

38

41

5. 9544 7. 874

47

50

53

56

GO

63

66

69

72

5. 9575

78

81

84

87

90

93

96

5. 9599

5. 9602

5.9605 7.875

08

11

15

18

21

24

27

30

33

5. 9636

39

42

45

48

61

64

68

61

64

5.9667 7.875
198 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 33°.

[BULL. 214.

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 

cliff. 1"= -0.07

8. 509 2901

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

62

48

8. 509 2744

40

36

32

28

24

20

16

12

OS

8. 509 2704

8. 509 2701

8. 509 2697

93

89

85

81

77

73

69

8. 509 2665

logB 

diffi.l"=-0.20

8. 511 3669

57

45

33

22

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

8.5.1.1 3291

8068'

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

8.611 3006

8. 511 2995

83

71

8. 511 2959

logC 

difl. 1"= +0.45

1. 21772

799

827

854

882

909

937

964

1 . 21992

1.22019

1.22047

074

101

129

156

184

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.l"=+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. 8592

logE 

diff.l"=+0.05

5. 9G67

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

44to

50

6.9853

logF 

cliff. 10'= +0.2

7.875

7.876

7.876

7.877
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

 TABLE 20. Geodetic position computations Continued.

LATITUDE 34°.

199

Lilt.

0 1

31 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

10

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

60

log A 

diff.l"=-0.07

8. 509 2665

61

57

53

49

45

41

37

33

29

8. 509 2625

21

17

13

09

05

8. 509 2601

8. 509 2597

93

89

8.509 2685

81.

77

73

09

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 

cliff. 1"=-0.20 difl

8. 6,11 2959

47

35

23

8. 511 2911

8.511 2899

87

75

63

51

8.511 2840

28

16

8. 511 5804

8. 511 2792

80

68

66

44

32

8. 511 2720

8.511 2708

8.511 2696

84

72

60

48

36

24

12

8.511 2600

8.511 2588

76

64

52

40

28

16

8. 511 2504

8.511 2492

8. 511 2480

68

56

4432'

20

. 8.511 2408

8. 511 2396

84

72

8. 511 2360

48

35

23

8.511 2311

8. 511 2299

87

75

63

61

8. 611 2239

logC 

M"=+0.45

1. 23409

437

464

491

618

545

572

599

626

653

1. 23680

707

734

761

788

815

842

869

896

923 '

1.23950

1.23977

1.24004

031 -

058

085

112

139

165

192

1.2219

246

273

300

327

35<1

381

408 .

43-1

461

1. 24488

515

542

569

595

622

649

076

703

729

1.24756

783

810

837

863

890

917

944

970

1. 24997

1.26024

logD 

diff.l"=+0.02

2. 3592

93

94

95

96

97

98

2. 3599

2. 3600

01

2. 3602

03

04

05

06

07

08

09

10

.11

2. 3612

13

14

15

16

17

18

19

2021 

2.3622

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

log E log F 

did 1"= +0.05 diff.lO'=+0.0

5. 9853 7. 877

57

60

63

66

69

72

75

79

82

5. 9885

88

91

94

5. 9897

5. 9901

04

07

10

. 13

5.9916 7.877

19

23

26

29

32

35

38

42

45

5. 9948

51

54 

57

61

6-1

67

70

73

76

5. 9980 7. 877

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
200 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 20. Geodetic position compulations Continued.

LATITUDE 35°.

[BUM.. 214.

Lat.

O 1

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

61

62

63

54

55

56

57

58

59

GO

log A 

diff. 1"= -0.07

8.509 2425

21

17

13

09

05

8. 509 2401

8. 509 2396

92

88

8. 609 2384

80

76 

72

68

64

60

56

52

48.

8. 509 2344

40

36

32

28

24

20

16

12

08

8. 509 2304

8.609 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

8.609 2198

94

90

86

8. 509 2182

logB 

diff. 1"= -0.20

8. 51 1 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

57

45

33

21

8.511 2009

8.511 1997

85

72

6048-

36

24

12

8.511 1900

8.511 1887

8.511 1875

. 63

61

39

27

15

8.511 1802

8.611 1790

' 78

66

8.511 1754

41

29

17

8.511 1705

8.511 1693

80

68

56

44

8.511 1632

20

8.511 1607

8.511 1595

83

71

68

46

34

22

8.611 1510

logC 

diff. 1"= +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

469

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

2.3GS7

88

. 88

89

90

91

92

93

94

94

2. 3695

96

97

98

99

- 2. 3699

2. 3700

01

02

03

2.3704

logE 

diff. 1"= +0.05 d

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

7.877

7. 877

7.877

7.877
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 36°.

201

Lat.

o / 

3(i 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

'38 37

39

40

41

42

4344 '

45

40

47

48

49

50

51

62

53

54

55

56

57

58

59

GO

log A 

dirt.l"=-0.07 d

8.509 2182

78

74 .

70

65

61

67

63

49

46

8. 509 2141

37

33

29

25

21

16

12

08

04

8.509 2100

8. 509 2096

92

8884 -

80

75

71

67

63

8. 509 2059

55

51

47

43

39

35

30

26

22

8.509 2018

14

10

00

8.509 2002 '

8.509 1998

93

89

85

81

' 8.609 1977

73

69

65

61

56

52

48

44

40

8.609 1936

logB 

ff.l"==-0.20

8. 511 1510

8.511 1497

85

73

01

48

36

24

8. 511 1412

8.511 1399

8.5.11 1387

75

63

50

38

26

.14

8. 511 1301

8.511 1289

77

8.51.1 1265

62

40

28

15

8.511 1203

8.511 1191

79

66

54

8.511 1142

29

17

8.511 U05

8.511 1092

80

68

56

43

31

8.511 1019

8.511 1000

8.511 0994

82

09

57

45

32

20

8.511 0908

8.511 0895

83

71

58

46

34

21

8.511 0809

8.611 0797

84

8.511 0772

logC 

diff.l"=+0.44

1.26617

644

670

697

723

749

776

802

 828 855

1.26881

908

934

960

1. 26987

1.27013

039

060 092'

118

1.27145

171

197

223

250

276

302

329

355 .

381

1.27407

434

460

480

512

539

605

591

017

044

1.27070

090

722

748

775

801

827

853

879

905

1.27932

958

1.27984

1.2S010

036

062

088

114

141

167

1.28193

logD 

diff.l"=+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

32

33

34

35

2. 3735

30

37

38

39

39

40

41

42

42

2. 3743

44

45

45

46

47

48

48

49

50

2. 3760

logE 

diff.l"=+0.05

6.0237

40

43

46

50

53

56

59

63

Oil

<;. 02<;:>

7_>

7i;

79

82

85

89

92

95

6. 0299

6. 0302

05

08

12

15

18

21

25

28

31

0. 0334

38

41

44

48

51

54

57

61

04

6. 0367

71

74

77

80

84 ' 87

90

94

6. 0397

6. 0400

03

 07

10

13

17

20

23

27

80

6.0433

logF 

difF.10'=-0.2

7,877

7.877

7.877

7.876
202 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 37°.

[BULL. 214.

Lat.

o /

37 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

61

52

53

54

55

56

67

58

59

60

log A 

diff.l"=-0.07

8. 509 1936

32

28

23

19

15

11

07

85. 09 1903

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

75

8.509 1771 ' 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 

difl.l"=-0.21

8.511 0772

' 4760

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 0524

12

8. 511 0500

8. 511 0487

75

62

50

37

25

13

8.511 0400

8.611 0388

75

63

51

38

26

' 13

8. 511 0301

8. 511 0288

8.511 0276

64

51

39

26

14

8. 512 0201

8. 511 0189

76

64

8. 511 0151

39

26

14

8.611 0102

8.511 0089

77

64

62

39

8. 511 0027

logC 

diff.l"=+0.43

1. 28193

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

671

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

61

61

62

63

73

64

2. 3765

66

66

67

68

68

69

7070 '

71

2. 3772

72

73

74

74

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

. log E log. F 

diff.l"=+0.06 diff.lO'=-0.3

6. 0433 7. 876

37

40

43

46

50

53

56

60

63

6. 0466

70

73

76

80

83

86

89

93

96

6. Q499 " 7. 876

6. 0503

06

09

13

16

19

23

26

29

6.0533

36

39

43

46

49

58

56

59

63

6.0566 7.875

69

73

76

.79

83

86

89

93

6. 0596

6. 0600

03

06

10

13

16

20

23

26

30

6.0633 7.874
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 38°.

203

Lut.

0 /

38 00

.1

2

3

4

05

6

7

8

9

. 10

11

12

13

14

15

1617 '

18

19

20

21

22

23

2-1

25

2fi

27

28

29

30

31

32

33

34

35

30

37

38

39

40

41

42

43

44

45

46

47

48

49

50

61

62

63

54

55

56

57

58

59

60

log A 

did. 1"= -0.07

8.509 1687

83

79

75

71

67

62

58

64

50

8.509 1646

42

37

33

29

25

21

17

12

OS

8.509 1604

8.509 1600

8. 509 1596

92

87

83

79

75

71

66

S.509 1562

58

54

50

46

41. ' 37

33

29

25

8.509 1521

16

12

OS

04

8. 509 1500

8. 509 1495

91

87

83

8.609 1479

76

70

66

62

58

63

49

45

41

8. 509 1437

logB 

difl.l"=-0.21

8. 511 0027

14

8. 511 0002

8. 510 9989

77

64

62

39

27

. 14

8. 510 9902

8. 510 9889

77

64

. 52

39

27

14

8. 510 9802

8.510 9789

S.510 9777

64

52

39

27

14

8.510 9701

8.510 9689

77

64

8.510 9652

39

27

14

8.510 9601

8.510 9589

76

64

51.

39

8.510 9526

14

8. 510 9501

8. 51.0 9488

76

63

51

38

26

13

8.510 9401

8.510 9388

76

63

50

3825 '

13

8. 510 9300

8.6109287

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

1.30269

295

321

347

372

398

424

450

470

501.

1.30527

553

579

004

630

656

682

707

733

 759

1.30785

810

830

862

887

913

939

965

1. 30990

1. 3101 6

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. 3798

2. 3799

2. 3800

00

01

01

02

02

03

03

2. 3804 ' 05

05

06

06

07 08

OS

09

09

2.3810

11

11

12

1 2

13

M

14

15

15

2. 3816

16

17

18

IS

19

19

20

20

21

2. 3822

22

23

23

24.

24

25

25

26

27

2.3827

logE 

diff.l"=+0.06

6.0633

. 36

40

43

47

50

53

57

60

63

6. 0667

70

73

77

80 .

84

87

90

94

(i. 0697

0. 0701

04 07

11

H

17

21

24

. 28

31

6. 0734

. 38

41.

44

48

51

55

5861 

65

6. 0768

72

75

78

82

85

89

92

95

6. 0799

6. 0802

06

09

13

16

19

23

26

80

33 /

6.0836

logF 

diff.lO'=-0.4

7.874

(

7. 874

7.873

7.872
204 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20.; Geodetic position computations Continued. 

LATITUDE 39°.

[BULL. 214.

Lat.

o / 

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

53

54

55

56

67

58

59

60

log A 

cliff. 1"= -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

1915-

8.509 1311

07

8. 609 1302

8.509 1298

94

90

86

81

77

73

8. 509 1269

64

CO

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

G2

8.5109149

36

24

8. 510 9111

8. 510 9098

8G

73

Gl

48

36

8. 510 9023

8. 510 9010

8.510 8998

85

73

CO

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

58

45

33

20

8.510 8707

8.5.10 8695

82

69

57

8.510 8C44

31

19

8. 510 8606

8. 510 8593

81

68

55

43

30

8.510 8517

logC 

diff.l"=+0.43

3.31299

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 

diff.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

55

55

56

56

57

2.3857

logE 

diff.l"=+0.06

C. 0836

40

43

47

50

53

57

60

64

67

6. 087.1

74

77

81

84

88

91

95

6. 0898

6. 0902

6. 0905

08

12

15

19

22

2629 '

32

36

6. 0939

43

46

50

53

57

60

63

67

70

C. 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
GANNETT.] aEOGEAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position compulations Continued.

LATITUDE 40°.

205

Lilt.

o / 

 10 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

1 33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

61

52

63

54

55

56

57

58

59

60

lOg A

cliff. 1"=-0.07

8.509 1184

80

76

72

67

63

59

55

50

46

S. 509 1142

38

34

29

25

21

17

12

08

04

8.509 1100

8. 609 1096

91

87

S3

79

74

70

66

62

8.509 1057 ' 53

49

45

41

36

32

28

24

19

8. 509 1015

11

07

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 

cliff. 1"= -0.21

8.510 8517

8.510 8505

8. 510 8492

79

67

54

41

29

115

8.510 8403

8.510 8391

78

65

53

40

27

15

8. 510 8302

8. 510 8239

77

8. 510 8264

51

38

26

13

8. 510 8200

8. 510 8188

75

62

50

8.610 8137

24

8.510 8111

8. 510 8099

86

73

61

48

35

23

8. 510 3010

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 7755

logC 

cliff. 1"= +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

266

282

307

332

1.34358

logD 

cliff. 1"= +0.01

2.3857

58

58

58

59

69

60

60

60

61

2. 3861

62

62

63

63

64

64

65

65

65

2. 3866

66

67

6768 '

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

8080'

81

81

2.3882

log E 

cliff. 1»=+0.06

6*. 1043

47

50

54

57

61

64

67

71

74

6. 1078

81

85

88

92

95

6. 1099

6. 1102

06

09

6. 1113

16

20

23

27.

30

34

37

41

44

6. 1148

51

55

58

62

65

69

72

76

79

6. 1183

86

90

93

6. 1197

6. 1200

04

07

11

o 15

6. 1218

22

25

29

32 .

36

39

43

46

50

6. 1253

log F 

cliff. 10'= -0.7

7. 869

7.867

7.866

7.864
206 GEOGKAPHIC TABLES AKD FORMULAS.

.TABLE 20. Geodetic position computations Continued. 

LATITUDE 41°.

[BULL. 214.

Lat.

o / 

41 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 

cliff. 1"= -0.07

8. 509 0930

26

22

18

13

09

05

8.509 0900

8. 509 0896

92

8.5090888 

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 0718

13

09

05

8. 509 0700

8. 509 0696

92

88

83

.79

8. 509 0675

logB 

cliff. 1"= -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. 510 7411

8.610 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. 610 7194

SI68

55

43

30

8.610 7117

8. 510 7104

8.510 7091

79

66

53

40

27

15

8. 510 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. 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

572

597

1. 35623

648

673

698

723

749

774

799

824

850

1.35875

logD 

cliff. 1"= +0.01

2.3882

82

82

83

.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. 3892

92

92

93

93

93

94

94 .

94

95

2. 3895

95

96

96

96

97

97

97

97

98

2. 3898

98

98

99

.99

2. 3899

2.3900

00

00

00

2. 3901

log E log F 

cliff. 1"=+0.06 cliff. 10'=-O.S

6.1253 . 7.8(14

57

60

64

67

. 71

75

78

82

85

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

6. 1399

6. 1403

06

10

13

17

20

24

28

e. 1431

35

38

42

46

49

53

56

60

63

6. 1467 7. 860
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position compulations Continued.

207

LATITUDE 42°.

Lat.

0 1

42 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

26

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

60

log A 

diff.l"=-0.07

8. 509 0675

71

66

62

68

54

49

45

41

36

8. 509 0632

28

24

19

15 ,

11

07

8. 509 0602

8. 509 0598

94

8. 609 0590

85

81

77

72

68

64

60

55

51

8. 509 0547

43

38

34 '30

25

21

17

13

08

8. 509 0504

8. 509 0500

8. 509 0496

91

87

83

78

74

70

66

8.509 0461

57

53

48

44

40

36

31

27

23

8. 509 0419

logB 

rtiff.l"=-0.21

8. 510 6989

76

64

51

38

. 25

12

8.510 6900

8. 510 6887

74

8.510 6861

48

36

28

8. 510 6810

8. 510 6797

84

72

69

46

8. 510 6783

20

8. 510 6707

8.510 6695

82

69

56

43

31

18

8. 510 6605

8. 610 6592

79

66

54

41

28

15

8. 510 6502

. 8. 510 6490

8.510 6477

64

61

38

25

13

8. 510 6400

8.510 6387

74

61

8.510 6348

36

23

.8.510 6310

8.510 6297

84

71

59

46

33

8.510 6220

logC 

d iff. 1"= +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

530

556

681

606

1.36631

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

logD 

diff.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

0909 '

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

logE 

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. 153943'

46

50

54

57

61

64

68

72

6. 1575

79

83

86

90

93

6. 1597

6.1601

04

08

(i. 1612

15

19

22

26

30

33

37

41

44

6.1648

52

65

59

63

66

70

73

77

81

6. 1684

logF 

diff.lO'=-0.9

7.860

7.858

7. 856

7.864
208 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 43°.

[BULL. 214.

Lat.

O 1

43 00

1

2

3

4

05

6

7

8

9

10

11

12

13

14

15

16.

17

18

19

20

2122 '

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. 509 0419

14

10

06

8.509 0401

8. 509 0397

93

89

84

80

8. 509 0376

71

67

63

59

54

50

46

41

37

8.509 0333

29

24

20

16

12

07

8.509 0303

8. 509 0299

94

S. 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. 509 0200

8. 509 0196

92

. 87

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

55

42

29

16

8. 510 5603

8.510 5591

8. 510 5578

65

52

39

26

is

8.510 5501

8.510 5488

75

62

8.510 5449

logC 

di(T.l"=+0.42

1. 37386

412

437

462

" 487

512

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 

dirt. 1"= +0.00

2. 3914

15

15

15

15

15

16

16

16

16

2. 3916

16

17

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

23

23

 23

23

2. 3923

log E 

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

6. 1868

72

76

79

83

87

91

94

6. 1898

6.1902 

6. 1905

log F 

diff.lO' = -1.0

7.854

7.852

7.850

7.848
GANNETT.] GEOGEAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 44°.

209

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

67

58

59

CO

log A 

diff. 1"= -0.07

8. 609 0162

57

53

49

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

!G

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

log B log C 

diff. 1"=-0.21 diff. 1" = +0.42

8. 510 5449

36

23

8. 510 5411

8. 510 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. 610 5192

79

66

53

40

28

16

8. 510 5102

8. 510 5089

76

8. 510 5063

50

37

25

8.510 6012

8.510 4999

86

73

60

47

8. 610 4935

22

8.510 4909

8. 510 4896

83

70

57

44

32

19

8. 510 4806

8. 510 4793

 80

67

54

41

29

16

8. 510 4703

8. 510 4690

8. 510 4677

1.38894

919

945

970

1. 38995

1. 39020

045

070

095

120 .

1. 39145

171

196

221

246

271

296

321

346

371

]. 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

J. 39999

1.40024

049

074

099

124

1.40149

174

200

225

250

275 300'

325

350

375

:l. 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

26

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 difl. 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

0. 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

Bull. 214 03 M
210 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

[BULL. 214.

LATITUDE 45°.

Lat.

o /

45 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

4041'

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 9904

8. 508 9900

8. 508 9896

91

87

83

78

74

70

66

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

S. 508 9733

28

24

20

16

11

07

8. 508 9703

8.508 9698

94

8. 508 9689

85

81

77

72

68

64

60

65

51

8.508 9647

logB 

diff. 1"= -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. 510 4201

8.510 4188

75

 8. 510 4162

49

37

24

8.5104111

8.510 4098

85

72

60

47

8. 510 4034

21

8.510 4008

8. 510 3995

82

69

57

44

31

18

8. 510 3905

logC' 

diff. 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

756

781

806

" 831

856

881

1.41906

logD 

diff. 1"= ±0.00 diff.

'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. 392626 '

26

26

26

'26

25

25

25

25

 2. 3925

25

25

25

25

25

25

25

25

25

2. 3925

25

2S

25

- 24

24

24

24

24

24

2. 3924

log E . log F 

I" =7f0.06 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

6. 2206 7. 838

10

14

18

21

25

29

33

37

40

6. 2244 .

4852'

56

60

63

67

71

75

79

6. 2283 7. 835

86

90

94

6. 2298

6.2302

06

09

13

17

6. 2321

25

29

32

36

40

44

48

52

55

6.2359 7.832
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 40°.

211

Lilt.

o / 

46 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

3637 '

38

39

40

41

42

43

44

45

46

47

48

49

50'

51

52..

53

54

55

' 56

57

58

1 59

60

log A 

diff.l"=-0.07

8. 5C8 9647

43

38

 34

30

25

21

17

13

08

8.508 9604

8. 508 9600

8. 508 9595

91

87

83

78

74

70

65

8.508 9561

57

53

48

44

' 40

35

31

27

23

8.508 9518

.14

10

05

8.508 9501

8.508 9497

93

88

84

SO

8.508 9475

71

67

63

58

54

50

45

41

37

8. 508 9433

28

24

20

16

1!

07

8. 508 9403

8.508 9398

94

8.508 9390

logB 

cliff. 1"= -0.21

8.510 3905

8. 510 3892

79

67

54

41

28

15

8. 510 3802

8.510 3789

8. 510 3776

64

51

38

25

8. 510 3712

8. 510 3699

86

74

61

8. 610 3648

35

22

8. 510 3609

8. 510 3596

84

71 ' ' 58 '

45

32

8. 510 3519

8. 510 3506

8. 510 3494

81

68

55

42

29

17

8. 510 3404

8.510 3391

78

65

52

39

27

14

8.510 3301.

8. 510 3288

75

8.510 3262

49

37

24

8.510 3211

8. 510 31'JS

85

72

60

47

8. 510 3134

logC 

cliff. 1"=+0.4^ d

1. 41906

931

957

1 . 41982

1. 42007

032

057

082

107

132

1.42157

183

208

. 233

258

283

308

.333

358

384

1.42409

434

459

484 '

509

534

559

584

610

635

1.42660

685

710

735

760

786

811

836

861

886

:i. 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 

fF. 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

)9

19

19

19

19

18

18

2. 3918

18

18

18

18

17

17

17

17

17

2. 3917

log E log P 

dirt. 1"= +0.06 diff.lO'=-1.4

6. 2359 7. 832

63

67

71

75

79

82

86

90

94

6. 2398

6.2402

06

09

13

17

21

25

29

33

6.2436 7.830-

40

44

48

52

56

60

64

67

71

=> C. 2475

79

 83

87

91

95

6. 2499

6; 2502

06

10

6.2514 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
212 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 47°.

[BULL. 214.

Lat.

0' 1

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

43

44

45

46

47

48

49

50

51

52

53

54

55

56

' 5758

59

60

log A 

(Jiff. 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 1)133

logB 

diff.l"=-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

8.51.0 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 259582 

69

57

44

31

18

8.510 2505

8.510 2493

80

67

54

41

28

36

8.510 2403

8. 510 2390

77

S. 510 2364

logC 

diff.l"=+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. 4442],

447

472

497

522

547

573

598

623

648

'1.44673

699

724

749

774

800

825

S50

875

900

1. 44926

logD 

diff.l"=-0.00

2. 3917

16

16

16

16

16

16

15

15

15

2. 3915

15

14

14

14

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

05

04

04

2.3904

logE 

diff.l"=+0.07

6. 2592

6. 2596

6.260004'

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

6.2750

54

58

62

66

70

74

. 78

82

86

6. 2790

94

6. 2798

6. 2802

06

10

34

18

22

26

6.2830

logF 

diff.lO'=~1.6

7.824

7.821

7.817 .

7. 814
GANNETT.] GEO&BAPSIC TABLES AND FOEMULAS.

TAHT/H: 20. Geodetic position compulations Continued.

LATITUDE 48°.

213

Lat.

0 /

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

59

60

log A 

dill. 1"= -0.07

8. 508 9133

29

25

20

16

12

08

8. 508 9103

8. 608 9099

95

8. 508 9091

86

82

78

74

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 8920

16

12

08

8. 508 8903

8.508 8899

95

90

86

82

8. 508 887S

logB 

diff.l"=-0.21

8.510 2364

52

39

26

13

8. 510 2300

8. 510 2288 76

62

49

8. 510 2236

24

8.5102211

8. 510 2198 '

85

72

CO

. 47

34

21

8. 510 2108

8.510 2096

83

70

57

45

32

19

8. 510 2006

8.510 1993

8. MO 1981

68

55

42

30

17

S.510 1904

S. 510 1891

78

66

S.510 1853

40

27

15

:8.510 1802

S.510 1789

76

64

51

38

:8. 510 1725

13

S.510 1700

S.510 1687

74

62

49

36 23

S.510 1610

S.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

1.45683

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. 3899

99

99

99

2. 3898

98

98

9797"

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

88

88

88

87

87

87

86

86

2.3886

logE 

diff.l"=+0.07 dill

0. 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 10'=-1.7

7. 814

7.811

7.807

7.804
214 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 49°.

[BULL. 214.

Lat.

0 /

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

28' 27

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

69

60

log A 

diff. 1"= -0.07

8. 508 8878

73

69

65

61

57

52

48

44

39

8. 508 8835

 31

27

23

18

14

10

06

8. 608 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 8695

91

87

83

78

74

70

8.508 8666

61

57

53

49

45.

40

36

32

28

8. 508 8623

logB 

diff.l"=-0.21

8.510 1598 .

 85

72

59

47

34

21

8. 510 1508

8.510 1496

83

8.610 1470

58

45

32

19

8. 510 1407

8. 510 1394

81

68

56

8. 510 1343

30

17

8.610 1305

8. 510 1292

79

67

54

:41

28

8.610 1216

' 8. 510 1203

8.510 1190

78-

65

52

39

27

14

8. 510 1101

8. 510 1088

76

63

50

38

25

12

8.510 1000

8. 510 0987

74

8.510 0962

49

36

23

8.510 0911

8. 510 0898

85

73

60

48

8. 510 0835

logC 

diff. 1"= +0.42

1.46443

468

494 .

519

544

570

595

621

646

671

1.46696

722

747

773

798

824

849

 874

899

925

1. 46950

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

509

535

560

586

611

637

662

688

1. 47713

738

764

789

815

840

866

891

917

942

1.47968

logD 

diff. 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. 3871

70

70

69

69

69

68

68

67

67

2. 3866

66

66

65

65 .

64

64

63

63

63

2. 3862

log E log F 

diff. 1"= +0.07 cliff. 10' =-1.9

6. 3071 7. 804

75

79

84

88

92

6.3096

6.3100

04

08

6. 3112

16

20

24

28

32

37

41

45

49

6. 3153 7. 800

57

61

65

69

73

78

82

86

90

6. 3194

6. 3198

6. 3202

06

10

15

19

23

27

31

6. 3235 7. 796

39

43

47

52

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.

TABLE 20. Geodetic position computations Continued.

LATITUDE 50°.

215

Lat.

.0 1

50 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

46

46

47

48

49

50

51

52

53

54

65

56

67

58

59

60

log A 

d iff. 1"= -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 3601

8. 508 8497

93

88

84

80

76

71

67

63

59

8. 508 8455

50

46

42

38

34

29

25

21

17

8.508 8413

08

04

8. 508 8400

8. 508 8396

92

87

83

79

75

8. 508 8371

logB 

d iff. 1"= -0.21

8.510 0835

22

8. 510 0809

8. 510 0797

84

71

59

46

33

21

8. 51.0 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

15

8.510 0202

8.510 0190

77

64

52 

3927 '

14

8. 510 0101

8.610 0089

8. !>10 00'/6

logC 

diff.l"=+0.43

1. 47968

1.47993

1.48019

044

670

095

121

146

172

197

1.48223

248

274

299

325

350

376

401

427

452

1. 48478

504

529

555

580

606

631

667

682

708

1.48734

759

785

810

836

861

887

913

938

964

1.48989

1. 49015

041

066

092

117

143

169

194

220

i. 49246

271

297

322

348

374

399 '425

451

476

1. 49502

log!) 

diffl"=-0.01 d

2. 3862

62

61

61

60

60

60

59

59

58

2.3858

57

57

56

56

55

65

65

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. 3838

38

37

37

36

36

36

35

34

34

2.3833

logE 

ff.l"-+0.

6. 3318

22

26

30

34

39

43 ' 47

51

55

6. 3359

63

68

72

76

80

84

88

93

6.3397

6. 3401

05

09

14

18

' 2622

30

34

39

6. 3443

47

51

5560 '

64

68

72

76

81

6. 3486

89

93

6.3497

6.3502

06

10

14

18

23

6. 3527

31

35

40

44

48

52

66

61

65

6.3569

logF 

37 diff.lO'=-2.0

7.792

7.788

7.784

.

SS

7.780
216 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 51°.

[BULL. 214.

Lat.

O '

51 00

1

2

3

4

05

6

7

8

9

10

11

]2

13

.14

15

16

17

18

19

20

21

22

23

24

26

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 

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. 608 8287

82

78

74

70

66

62

67

53

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

37

8.509 9825

8. 509 9812

8.509 9799

87

74

62

49

37

24

8. 509 9711

8.509 9699

86 ' 74

61

49

36

24

8.509 9611

8. 509 9599

86

8.509 9574

61

48

36

23

8.509 9511

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. 1"= -t-0.43

1. 49502

528

553

579

605

630

656

682

707

733

3.43759

785

810

836

862

887

913

939

965

1.49990

1.50016

042

067

093

119

145

170

196

222

248

1.50273

299

325

351

376

402

428

454

480

505

1. 50531

557

683

609

634

660

686

712

738

- 764

1.50789

815

841

867

893

919

944

970

1.50996

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. 10'=-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

ft, 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
GANNETT.J GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 52°.

217

Lat.

0 '

52 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. !"-.= - 0.07

8. 508 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. 508 7995

91

87

82

78

74

70

66

62

58

8.508 7953

49

45

41

37

33

'24 29

20

16

8.508 7912

08

04

8. 508 7900

8. 508 7895

91

87

83

79

75

8. 508 7871

logB 

cliff. 1"= -0.21.

8. 509 9323

8. 509 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. 509 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. 609 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. 1"= +0.43

1. 51048

074

100

126

151

177

203

229

255

281

1.51307

333

359

385

411

436

462

488

514

540

1. 51566

592

618

644

670

696

722

748

774

800

1.51826

852

878

904

930

956

1.51982

3.52008

034

060

1 . 52086

112

138

164

190

216

242

268

294

320

1.52347

373

399

425

451

477 '

5C3

529

555

581

1.52608

logD 

diff.l»=-0.0l

2. 3799

98

97

97

96

96

95

94

94

93

2.3792

92

91

91

90

' 89

88

88

87

87

2. 3786

85

85

84

83

83

82

81

81

80

2. 3779

79

78

78

77

76

75

75

74

73

2. 377372-

71

71

70

69

68

68

67

66

2. 3766

65

64

64

63

62

61

61

60

59

2. 3759

logE 

diff. 1"= +0.07

6. 3826

30

34

39

 43

47 ' 52

56

60

65

6.3869

73

78

82

86

91

95

6. 3899

6. 3904

08

6. 3912

17

21

25

30

3438'

43

47

51

6. 3956

. 60

65

69

73

78

82

86

91

6. 3995

6. 4000

04

08

13

17

21

26

30

35

39

7. 4043

48

52

57

61

65

70

74

79

83

6. 4088

' logF 

dlff.lO'=-2.3

7.767

7.763

7.758

7.753
218 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 53°.

[BULL. 214.

Lilt.

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

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

67

58 -

59

60

log A 

diff. 1"=-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

54

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

8.5098108

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 

d iff. 1"= +0.41

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

24

23

22

22

2. 3721

20

19 '18

18

17

16

15

14

14

2. 3713

log E log F 

diff. 1"-= +0.07 diff.lO'=-2.5

6. 4088 7. 753

92

6.4096

6. 4101

05

10

14

18

23

27

6. 4132

36

41

45

49

54

58

63

67

72

6. 4176 7. 748

80

85

89

94

6.4198

6. 4203

07

12

16

6. 4221 .

25

29

34

38

43

47

52

56

61

6.4265 7.743

70

74

79

83

88

92

6. 4297

6. 4301

06

6. 4310

15

19

24

28

33

37

42

46

51

6. 4355 7. 738
GEOGEAPHIO TABLES AND FORMULAS.

TAKLE 20. Geodetic posiiinn computations Continued. 

LATITUDE 54°.

219

Lat.

o / 

64 00

1 2

3

4

05

G

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

30

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. 508 7624

20

16

12

08

04

8. 508 7600

8.508 7596

92

88

8.508 758-1

79

75

71

67

63

59

65

51

47

8.508 7543

39

35

31

27

22

18

14

10

06

8.508 7502

8. 508 7498

94

90

80

82

78

74

70

06

8.508 7402

58

53

49

45

41

37

33

29

25

8.508 7421

17

13

09

05

8. 508 7401

8.508 7397

93

89

85

8.508 7381

logB 

flirt. 1"= -0.20 dirt

8. 509 7838'

25

13

8.509 7801

8.509 7789

76

. 64

52

40

27

8. 509 7715

8.509 7703

8.509 7691

78

66

54

42

30

17

8.509 7605

8. 509 7593

81

69

56

44

32

20

8. 509 7508

8. 509 7495

83

8.509 7471

59

47

34

22

8.509 7410

8.509 7398

86

74

01

8. 509 7349

37

25

13

8. 509 7301

8.509 7289

76

64

52

40

8.509 7228

16

8. 509 7204

8.509 7191

79

67

55

43

31

19

8.509 7107

logC 

1"=+0.44

1. 54183

209

236

262

288

 315

341

368

394

421

1. 54447

474

500

527

553

580

606

633

059

686

1.54712

739

765

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

376

403

430

456

483

1.55510

536

563

590

016

043

070

696

723

750

1. 55777

logD 

diff. 1"= -0.01

2. 3713

12

11

10

09

09

08

07

06

05

2. 3705

04

03

02

01

00

2. 3700

2. 3699

98

97

 2.3696

95

94

94

93

92

91

90

89

88

2. 3688

87

 86

85

84

83

82

82

81

80

2. 3679

78

77

76

75

74

74

73

72

71

2. 3670

69

68

67

06

66

65

04

63

62

2. 3661

log E 

cliff. l"=-t-0.08

6.4355

60

64

69

 73

78

82

87

91

6.4396

0. 4400

05

09

14

18

23

28

32

37

41

0. 4440

50

55

59

64

08

. 73

78

82

87

6. 4491

6. 4496

0.4500

05

09

14

19

23

28

32

6. 4537

41

46

51

55

CO

04

69

74

78

C.4583

87

92

0. 4597

C. 4601

06

10

15

20

24

0. 4029

logF 

diff. 10'= -2.6

. 7.738

7.733

7.728

7. 723
220 GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 55°.

[BULL. 214.

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

60

51

52

53

54

55

66

57

58

59

60

log A 

diff. 1"= -0.07

8. 508 7381

77

73

69

65

61

66

52

48

44

8.5087340

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 71%

92

88

84

8.508 7180

76

72 .

68

64

60

56

52

48

44

8. 508 7140

logB 

diff.l"=-0.20 d

8. 509 7107

8. 509 7095

82

70

58

46

34

22

8. 509 7010

8.509 6998

8. 509 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 6505

8.509 6493

81

69

57

45

33

21

8. 509 6409

8. 509 6397

8. 509 6385

logC 

iff. 1"= +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

654

1.56581

608

635

662

689

716

743

770

797

823

3..r 6850

877

904

931

958

1. 56985

1. 57012

039

060

093

1.57120

147

174

201

229

256

283

310

337

364

1. 57391

logD 

5 diff. 1"=-0.02

2. 3661

60

59

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

06

04

2.3603

logE 

diff.l" 1-0.08

(i. 4629

33

38

43

47

52

67

61

66

70

 6.4675

80

84

89

94

G. 4698

6. 4703

08

12

17

fi. 4721

26

31

35

40

45

49

54

59

63

6. 4768

73

77

82

87

91

G. 4796

6. 4801

05

10

6.4815

20

24

29

34

38

43

48

52

57

6.4862

66

71

76

81

85

90

6.4895

6. 4900

04

6. 4909

logF 

diff. 10' =-2.8

7.723

7.717

7.711

7.706
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued. 

LATITUDE 56°.

221

Lat.

0 /

56 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

61

62

53

64

55

56

57

58

59

60

log A 

cliff. 1"=-0.07

8. 508 7140

36

32

. 28

24

20

16

12

08

04

8.508 7100

8.508 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

34

30

26

23

19

15

.1.1

07

8. 508 6903

logB 

diff.l"=-0.20

8.509 6385

73

61

49

37

25

13

8. 509 6301

8. 509 6289 ' 77

8. 509 0266

54

42

30

18

8. 509 6206

8. 509 6194

82

70

58

8.509 6147

35

23

8. 509 6111

8. 509 6099

87

75

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

50

38

27

15

8 509 5803

8. 509 5791

79

67

56

44

32

20

8. 509 5709

8. 509 5697

85

8. 509 5673

logC 

diff.l"=+0.45

1. 57391

418

445

472

499

526

554

581

608

635

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. 58207

234

261

289

316

343

371

398

425

453

1 . 58'ISO

507

535

562

589

617

644

672

699

726

1.58754

781

809

836

864

891

919

946

1. 58974

1. 59001

1. 59028

logD 

diff.l" = -0.02

2. 3603

02

01

2. 3600

2. 3599

98

97

96

95

94

2. 3593

92

91

90

* 89

88

87

86

858-1

2. 3583

82

81

80

78

77

76

75

74

73

2. 3572

71

70

69

68

67

66

65

64

62

2. 3661

60

59

58

57

56

55

54

53

52

2.3550

49

48

47

46

46

44

43

42

41

2. 3539

log E 

diff.l"=+0.08

6. 4909

14

18

23

28

33

37

42

47

52

6. 4956

61

66

71

75

80

85

90

94

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. 5104

09

14

19

24

28

33

38

43

6. 5148

52

57

62

67

72

77

81

86

91

6. 5196

log F 

d iff. 10' =-3.0

7.706

7.700

7.694

7.688
222 GEOGRAPHIC TABLES AND FORMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 57°.

[BULL. 214.

Lat.'

o /

57 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

44

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. 508 6903

8. 508 6899

95

91

87

83

79

75

72

68

8.508 6864

60

56

52

48

44

40

36

32

28

C.508 6825

21

17

13

09

05

8.508 6801

8.508 6797

93

90

8. 508 6786

 82

78

74

70

66

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

logB 

cliff. 1"= -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

8.50'J 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

logC 

cliff. 1"= +0.46

1. 59028

056

083

111

139

166

194

221

249

276

1.59304

331

359

387

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

logD 

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

16

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. 3-181

80

79

78

76

75

74

73

72

70

2. 3469

logE log F 

cliff. 1"= +0.08 d iff. 10'' 3.2

6. 5196 7. 688

6. 5201

06

10

15

20

25

30

35

40

6.5244

49

54

59

64

69

74

79

83

88

6. 5293 7. 682

6. 5298

6. 5303

08

13

18

22

27

32

37

6. 5342

47

52

57

62

67

72

76

81

86

6. 5391 7. 675

6. 5396

6. 5401

06

1.1

16

21

26

31

36

6. 5441

46

50

55

60

65

70

75

80

85

0. 5490 7. (=69
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 58°.

223

La,t.

0 1

58 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. l'"=-O.OG

S.508 6669

65

62

58

54

50

46

42

38

36

8. 508 6C31

27

23

19

15

11

08

04

 8. 508 6600

8. 508 6596

8.508 6592

88

85

81

77

73

69

65

62

58

8. 508 655-1

50

46

42

39

35

31

27

23

20

8.508 0616

12

08

04

8.508 6500

8.508 6497

93

89

85

81

8.508 6478

74

70

66

62

 59

55

51

47

43

8.508 6440

logB 

cliff. 1"= -0.19

8. 509 4972

61

49

38

26

14

8. 509 4903

8. 509 4891

80

68

8. 509 4857

45

33

22

8. 509 4810

8. 509 4799

87

76

64

53

8.509 4741

30

18

8. 509 4707

8. 509 4695

84

72

61

49

38

8. 509 4626

15

8.509 4603

8. 509 4592

80

69

57

46

35

23

8. 509 4512

8. 509 4500

8. 509 4489

77

66

54

43

32

20

8. 509 4409

8.509 4397

. 86

74

63

52

40

29

17

8.509 4306

8.509 4295

8. 509 4283

logC 

diff.l"=+0.47

1.60692

720

748

776

804 

832

860

888

916

944

1. 60972

1. 61000

028

056

084

 112

140

168

197

225

1. 61253

281

309

337

365

393

422

450

478

506

1. 61534

563

591

619

647

675

704

732

760

789

1.61817

845

873 °

902

930

958

1.61987

1. 62015

043

072

1. 62100

129

157

185

214

242

271

299

327

356

1.62384

logD 

diff.l"=-0.02

2. 3469

68

67

66

64

63

62

61

59

58

2. 345756 '

54

53

52

51

49

48

47

46

2. 3444

43

42

41

39

38

37.

35

34

33

2. 3432

30

29

28

26

25

24

23

21

20

2.3-119

17

16

15

14

12

11

10 1 08

07

2. 3406

04

03

02

. 2. 3400

2. 3399

98

96

95

94

2. 3392

log E 

cliff. 1"= +0.08

6.5490

6. 5495

6.5500

05

10

15

20

25

30

35

6. 5540

45

50

55

60

65

70

75

80

85

6. 5590

6. 5595

6.5600

05

10

15

20

25

30

35

6.5640

45

50

55

60

65

70

75

80

86.

6. 5691

6. 5696

6. 5701

06

11

16

21

26

31

36

6. 5741

46

51

56

62

67

72

77

82

87

6. 5792

logF 

cliff. 10'=-3.3

7. 669

7.662

7.656

7.649
224 GEOGRAPHIC TABLES AND" FORMULAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 59°.

[BULL. 214.

Lat.

0 '

59 00

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

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 636460 '

56

53

49

45

41

38

34

30

8. 508 6326

23

19

. 15

11

08

04

8. 508 6300

8. 508 6296

93.

8.508 6289

85

81

78

74

70

66

63

59

55

8.508 ' 625148

44

40

36

33

29

25

22

38

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 3607

logC 

cliff. 1"= +0.48

1. 62384

413

441

470

 498

527

555

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

86

84

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

15

13

12

10

2. 3309

log E log F 

diff.l"=+0.09 diff.lO'=-3.5

6. 5792 7. 649 6.5-iffl

6. 5802

07

13

18

23

28

33

38

6. 5843

48

54

59

64

6974'

79

84

89

6.5895 7.642

6.5900

05

10

15

20

26

31

36

41

6. 5946

51

57

62

67

72

77

82

88

93

6. 5998 7. 635

6.6003

08

14

19

24

29

34

40

45

6.6050

55

61

66

71

76

81

87

92

6. 6097

6. 6102 7. 627
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 60°.

225

Lat. 

O 1 . CO 001

2

3

-I

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 

diff. 1"=-0.06

8. 508 6214

10

07

8.5CS 0203

8. 508 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. 508 6066

63

59

55

52

48

44

41

37

33

8. 508 6030

26

22

19

15

11

08

04

8.508 6000

8.508 5997

8. 508 5993

log E 

diff. 1"=-0

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

8.509 3395

8.509 3384

73

62

51

40

29

18

8. 609 3307

8. 509 3296

85

8.509 3274

63

52

40

29

18

8.509 3207

8. 509 3196

85

74

8. 509 3163

52

41

30

' 19

8.509 3108

8. 609 3097

86

75.

64

8. 509 3053

..42

31

20

8. 509 3010

8.509 2999

88

77

66

55

8.509 2944

logC 

1C diff. 1"=+0.49

1.64109

138

167

196

225

254

283

312

341

370

1. 64400

429

458

. 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

425

455

484

614

543

1.65573

602

632

661

691

. 721

750

780

809

839

1,65869

logD 

diff. 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

55

54

52

51

2. 8249 ' 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.!0'=- -3.7

6. 6102 7. 627

08

13

18

23

. 29

34

3944'

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

77

82

87

93

6. 6298

6. 6304

09

6. 6314 7. 613

2025 '

30

36

41

46

52

57

62

6. 6368

73

79

84

89

G. 6395

6. 6400

05

1116'

6. 6422 7. 605

Bull. 214 03 15
226 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic nosilion computations Continued.

LATITUDE 61°.

[BULL. 214.

Lat.

o /

61 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. 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

' 1310

. 06

8. 508 5902

8.508 5899

95

92

88

8. 508 5884

81

77

 74

70

66

63

59

56

52

8. 508 5848

45

41

38

34

30

27

23

20

16

8.508 5813

09

05

8. 508 5802

8. 508 5798

95

91

88

84

80

8.508 5777

logB 

diff.l"=-0.18

8. 509 2944

33

22

11

5.509 2900

8.509 2889

78

67

56

46

8. 509 2835

24

13

&. 509 2802

8. 509 2791

80

69

58

48

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

34

24

13

8.509 2402

8. 509 2391

81

70

59

49

38

27

16

8. 509 2306

8. 509 2295

logC 

diff.l"-=+0.50

1. 05869

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

1. 66763

793

823

. 853

883

913

943

1. 66973

1. 67003

033

1. 67063

094

124

154

184

214

244

274

305

335

1. G7365

395

425

456

486

516

547

577

607

637

1. 67668

logD 

dirt. 1"= -0.03

2. 3218

17

15

13

12

10

09

07

06

04

2. 3202

2. 3201

2. 3199

98

96

94

93

91

90

88

2. 3186

85

83

81

80

78

77

75

73

72

2. 3170

68

67

65

64.

62

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 ' log F 

diff.l"=+0.09 diff.lO' = -4.0

6. 6422 7. COS

27

32

38

43

48

54

59

65

70

6. 6476

81

87

92

6. 6497

6. 6503

OS

14

19

25

(i. 6530 7. 597

36

41

46

52

57

63

68

74

79

6. 6585

90

6. 6596

6. 6601

07

12

18

23

29

34

6. 6640 7. 589

45

51

56

62

67

73

78

84

89

6. 6695

6.6700

06

12

17

23

28

34

39

45

6.6750 7.581
CANSETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 62°.

227

Lat.

o / 

02 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

40

,47

48

49

50

51

52

53

54

55

56

57

58

59

60

log A 

di(T.l"=-O.OG

8. 508 5777

73

70

66

03

59

55

52

4845 '

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 5635

32

28

25

21

18

H

11

07

04

8. 508 5600

8. 508 5597

915

90

86

83

- 80

76

73

69

8. 508' 5566

logB 

cliff.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 2103

8. 509 2093

8. 509 2082

71

61

50

40

2919 

8. 509 2008

8. 509 1997

87

8. 509 1970

60

55

45

34

23

13

8.509 1902

8.509 1892

81

8. 509 1871

GO

50

39 

29

.18

8.509 1803

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 

dill. 1"= +0.51

1. 67668

698

728

759

789

820

850

880

911

941

1. 07972

1. 68002

033

063

094

124

165

185

210

240

1. 08277

307

338

309

399

430

401

491

522

553

1.68583

614

645

' 675

706

737

768

799

829

860

1.68891

922

953

1. 68984

1. 09014

045

070

107

.138

109

1. 69200

231

262

293

324

355

386

417

' 448

479

1.09510

 logD 

di (!.]."= -0.03

2. 3120

18

17

. 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

60

65

63

61

59

58

56

54

52

2. 305049 '

47

45

43

42

40

38

30

34

2. 3033

3.1

29

27

25

23

22

20

18

16

2. 3014

log E 

diff. 1"=+0.09

6. 6750

56

61

67

73

78

84

89

6. 6795

6. 6801

6. 0806

12

17

23

29

34

40

. 45

51

57

6. 6»02

08

73

79

85

90

0. 0890

0. 6902

07

13

0. 0919

24

30

36

41

47

53

58

64

70

0. 0975

81

87

92

0. 6998

6. 7004

09

15

21

26

6. 7032

. 38

44

49

55

61

67

72

78

84

6. 7089

loffF 

cl iff. 10' = -4.2

7.581

7. 573

7. 564

7.556
228 GEOGKAPHIC TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 63°.

[BULL. 214.

Lat.

O 1

63 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. 508 5566

62

59

55

52

48

45

41

38

34

8. 508 5531

27

24

20

17

14

10

07

03

8.508 5500

8. 608 5496

93

89

86

. 83

79

76

72

69

65

8. 508 5462

58

55

52

48

_. 45

41

38

34

31

8. 508 5428

24

21

17

14

11

07 ' 04

8.508 6400

8. 508 6397

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

8.509 1599

88

78

68

8.509 1557

47

36

26

16

8. 509 1505

8.609 1495

85

74

64

8. 509 1454

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

8,509 1248

37

27

17

8. 509 1207

8.509 1196 '86

76

66

55

8. 509 1145

35

25

15

8. 509 1104

8.509 1094

 84

74

64

54

8. 509 1043

logC 

cliff. 1"= +0.52

1.69510

541

572

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

355

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

57

55

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

logE 

diff.l"=+0.10

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. 7205

11

17

22

28

34

40

46

51

57

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' 

logF 

diff.lO'=-4.5

7.556

7.547

7.638

. 7.529
GEOGRAPHIC TABLES AtfD FOBMtJLAS. 

TABLE 20. Geodetic position computations Continued.

LATITUDE 64°.

229

Lat.

o / 

64 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

87

38

39

40

41

42

43

44

45

4647'

48

49

50

51

52

53

54

55

66

57

68

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. 608 6299

96

8. 508 5292

89

85

82

79

76 '

72

69

65

62

8. 608 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.. 508 5159

logB 

diff. 1"=-0.17

8.509 1043

33

23

13

8.509 1003

8. 509 0993 .

82

72

62

52 :

8. 501) '0942

32

22

12

8. 509 0902

8.509 0891

81

71

51' 61

8. 509 0841

31

21

11

8.5(19 0801

8.509 0791

81

71

61

51

8. 509 0741

31

21

11

8.509-0701

8.509 069181'

71

61

51

8. 509 0641

31

21

11

8. 509 0601

8. 509 0591

81

71

61

51.

8. 509 0541

31

21

11

8. 509 0501

8. 509 0491

82

72

62

52

8. 609 0442

logC 

diff. 1"= +0.54

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 

diff. 1"=-0.03

2.2901

2. 2899

97

95

93

91

89

87

85

83

2. 2881 ' 79

77

7573'

71"

69

67

65

63

2.2861

59

67

55

53

51

49

47

45

42

2.2840

38

36

3432 *

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 

diff. 1"=+0.10 diff.

6. 7440

46

52

58

63

69

75

81 .

87

93

6. 7499

6. 7505

11

17

23

'29

35

41

47 . '

53

6. 7559

65

71

77

83

89

6.7595

6. 7601

07

13

6. 7619

 25

31

3743'

49

56

62

68

74 .

6. 7680

86

92

6. 7698

6.7704

10

16

22

28

35

6. 7741

47

53

59

66

71

77

84

90

6.7796

6.7802

log F 

10' =-4.7

7.529

7.520

7.511

7.601
230 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE-65°.

[BULT,. 214.

Lat.

o / 

65 00

1

2

3

4

05

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

i 47

48

; 49

! 5051 

i 62

53

54

55

' 56

! 57

i 58

'; 59

, 60;

log A 

diff..l"=-0.05

8. 508 5159

56

52

 v 49

46

43

39

36

33

30

8. 508 5126

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

58

54

51

48

45

41

38

35

32

8. 508 5029

25

22

19

16

13

09

06

03

8. 508 6000

8. 508 4996

93

90

87

84

. 80

77

.74

71

68

8. 508 4964 ,

logB 

cliff. 1"=-0.1G

8. 509 044232 '

22

12

8. 509 0402

8. 509 0393

83

73

63

53

8. 509 0344

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

GO

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.l"=+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 

cliff. 1"= -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. 269S

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

log E log F 

cliff. 1"= +0.10 cliff. 10' = -5.0

6. 7802 7. 501

08

14

20

27

33

39

45

51

57

6. 7864

70

76

82

88

6. 7895

6. 7901

07

13

19

6.7926 7.491

32

38

44

51

 57

63

69

76

82

6. 7988

6. 7994

6. 8001

07

13

19

26

32

38

44

6.8051 7.481

57

63

70

76

82

89

0. 8095

6. 8101

07

6. 8114

20

27

33

39

46

52

58

65

71

6.8177 : 7.471
GANNETT.] GEOGEAPHIO TABLES AND FOEMULAS.

TABLE 20. Geodetic position computations Continued,

LATITUDE 66°.

231

Lat.

o ' 

CC 00

1

2

3

4

06

C

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

30

37

38

39

40

41

42

; 43

44

45

! . 40

47

! 48

j 49

50

51

52

53

54

55

60

: 57

58

59

CO

 log A 

diff.l"=-0.06

8. 508 4904

01.

58

55

52

. 48

45

42

39

30

8.508 4933

29

20

23

20

17

 13

10

07

04

8. 508 4901

8. 508 4898

95

91

88

85

82

79

70

73

8. 508 4809

GO

03

CO

57

54

50

47

44

41

8. 508 4S88

35

32

29

20

22

19

10

13

10

8. 508 4807

04

8. 508 4801

8. 508 4797

94

91

88

-J35

82

79

8. 508 4770

logB 

diff.l"=-0.1G

8. 508 9858

48

39

29

20

10

8. 508 9801

8.5089791 ' 82

72

' 8.508 97C2

53 ' 43

34

24

14

8. 508 9705

3. 508 9090

80

77

-3. 508 9CG7

58.

48

39

- 29

20

11

8. 508 9601

8. 508 9592

82

8. 508 9573

03

54

44

35

25

10

8. 508 9507

8. 508 9497

88

8. 508 9478

09

00

51

41

32

23

13

8.508 9404

8. 508 9395

8. 508 9385

7000 '

57

48

38

29

20

10

8. 508 9301

8. 508 9292

logC 

diff.l"=+0.67

1. 75344

378

412

440

 480

514

548

.582

016

050

.1.75084

718

752

78G

820

854

889

923 957'

1. 75991

1. 70025

060

094

128

163

197

 231

266

300

334

1. 76369

403

438

472

507

541

576

010

045

079

1. 76714

749

783

818

853

887

922 

957

1. 76991

1. 77026

1.77061

096

131

106

200

235

270

305

340

375

1. 77410

logD 

dirt.l"=-0.04

2. 2647

44

42

40

38

85

33

31

28

26

2. 2624

22

19

17

15

12

10

08

05

03

2.2061

2. 2598

90

94

91

89

87

84

82

80

 2.2578

75

73

70

08

06

63

01

59

50

2. 2554

51

49

47

44

42

39

37

35

32

2. 2530

27

25

23

20

18

15

13

 11

08

2.2500 .

log E log F 

dirt. 1"= +0.11 flirt. 10' =-5.3

G.8177 7.471

84

 90

0.8190

0. 8203

09

1C

22

28

35

C. 8241

48

64

01

07

73

80

 8C

93

0.8299

0.8306 7.461

12

19

25

31

38

44

51

57

04

6.8370

77

83

90

6. 8396

0. 8403

09

16

22

29

0. 8430 . 7. 450

42

49

55

G2

08

75

81

88

0. 8495

6. 8501

08

14

21

27

34

41

47

54

CO

6.8567 7.440
232 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 67°.

[BULL. 214.

Lat.

0 /

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

8.5084776

73

70

66

63

60

57

54

51

48

8. 508 474542'

39 ' 36

33

30

26

23

20

17

8.508 4714

11

08

05

8.5084.7Q2

8.6084699

96

93

90

87

8. 608 4684

81

78

75

72

68

65

62

69

56

8.5084653

50

47

44

41

38

35

32

29

26

8.508 4623

20

17

14

11

08

05

8.5084602

8. 508 4599

96

8. 508 4593

logB 

diff.l"=-0.15 dif

8.5089292

83

.73

64

55

46

36

27

18

8. 508 9208

8. 508 9199

90

81

72

62

63

44

35

26

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

8.508 8925

16

8.508 8907

8. 508 8898

89

80

71

62

63

44

8. 508 8834

25

16

8. 508 8807

8. 508 8798

89

80

71

62

54

8. 508 8745 ,

logC 

f.l"=+0.59

1: 77410

445

480

515

650 .

585

620

656

691

726

1. 77761

. 796

831

867

902

937

1. 77973

1. 78008

043

079

] . 78114

149

185

220

25G

291

327

362

398

433

1. 78469

505

540 '

676

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 

diff.l"=-0.04

2.2506

03

2. 2501

2. 2498

96

93

91

. .89

.84' 86

2.2481

79

76

74

71

69

66

64

61

59

2. 2456

64

61

49

46.

44

41

39

36

34

2. 2431

29

26

2421'

Ib

16

14

11

09

2 °406

v i

. 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

'41 34

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

10

17

24

31

38

45

52.

5965 '

6. 8972

logF 

diff.lO'=-5.6

7.440

7.429

7.418

' 7.406
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 68°.

233

Lat.

0 1

68 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

36

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 4593

90

87

. 84

81

78

76

73

70

67

8.5084564

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 

diff.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

li!

8. 508 8303

8'. 508 8295

86

77

68

60

61

43

31

25

8.508 8217

logC 

diff.l"=+0.62

1.79547

583

620

656

692

728

766

801

838

874

1. 79911

947

1. 79984

1.80020

057

093

130

166

203

240

1. 80276

313

360

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

538

575

613

650

688

726

1.81763

logD 

diff.l»=-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

88

. 85

83

80

77

2.2275

72

69

67

. 64

61

58

56

53.

.50

2.2248

45

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 

diff.l"=+0.12 diff.lO'=-5.9

6. 8972 7. 406

79

86

6.8993

6. 9000

07

14

21

28

35

6.9042 '48

65

62

69

76

83

90

6. 9097

6. 9104

6.9111 . 7.395

18 .

25

32 .

39

46

53

60

67

74

6. 9181

88

6. 9195 '

6.9203

10

17

24

31

38

45

7.383

6. 9252

69

66

73

80

88

6. 9295

6.9302

09

16

6. 9323

30

37

45

52

69

66

73

80

88

6.9395 7.371
234 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic, position computations Continued. 

LATITUDE 69°.

[BOLL. 214.

Lat.

o '

69 ' 00

1

2

3

: 4

05

C

7

8

9

10

11

12

J3

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 4417

14

12

09

06

!

03

8. 508 4400

8. 508 4397

94

92

8. 508 4389

86

83

80

77

74'

71

69

C6

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 

diff. 1"=-0.14

8. 508 8217

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

71

62

54

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 

diff. l"= +0.64

1. 81763

801

838

876

914

952

. 1.81989

1.82027

065

103

1.82141

179

217

255

293

330

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

306

405

444

483

521

560

599

638

1. 83677

716

.755

794

833

872

911

950

1. 83989

1. 84028

1.84068

log D 

dirt. 1"= -0.05

2. 2192

89 87

84

81

78

75

72 1

70

67

2. 2164

61

58

55

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 log F 

diff. 1"=+0.12 diff. 10'=-6.2

G. 9395 7. 371

6. 9402

09

16

24

\

31

38

45

52

60

6. 9467

74

82

89

6. 9496

6. 9503

11

18

25

32

0. 9540 7. 358

47

54

62

69

76

84

91

6. 9598

6. 9606

0. 9613

20

28

35

42

50

57

65

72

79

6. 9687 7. 3<I6

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 7. 333
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position mmpulaki.on.it Continued.

LATITUDE 70°.

235

Lut.

0 1

70 00

1

2

3

4

05

0

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

4.1.

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

GO

log A logB 

cliff. 1"=-0.04 cliff. 1"=-0.14

8. 508 4248

45

43

40

37

34

32

29

26 ' '23

8. 508 4221

18

15

12

10

07

04

8.508 4201

8. 508 41.99

90

8.508 4193

90

88

85

82

80

77

74

71

09

8. 508 41CO

03

CO

58

55

52

50

47

44

42

8.508 4139

30

34

31

28

20

23

20

18

15

8. 508 4112

10

07

04

8. 508 4101

8. 508 4099

96

93

91

88

8.508-4086

8. 608 7709

8. 508 7701

' 8.508 7G92

84

70

68

59

51

43

35

8. 508 7G20

18

10

8.508 7602

8. 508 7594

80

78

69

01

52

8.508 7544

30

. 28

20

12

8. 508 7504

8. 508 7495

87

79

71

8.508 7402

64

40

88

30

22

14

8.508 7400

8.508 7398

90

8. 508 7382

74

CO

5850 '

42

34

26

18

1.0

8. 508 7302

8.508 7294

80

77

69

61 '

53

45

38

30

8. 508 7222

logC 

cliff. 1"= +0.07 di

1,84008

107

140

185

225

.2G4

303

343

' 382

421

1. 844G1

' ' 500 640

579

019

058

098

738

778

817

1.84857

897

937

1. 84970

1. 85010

050

096

136

170

216

1.85250

290

330

370

41C

'497 450

537

577

018

1.85658

698 

739

. 779

819

860

900

941

1. 85981

1.86022

1 . 86003

103

144

 185

225

' 260

307

348

389

430

1.86470

logD 

r. 1"=-0.05

2. 2018

15

12

09

06

03

2. 2000

2. 1997

94

91

2.1988

85

82

79

76

73

70

CO

63

00

2.1957

54

51

48

45

 42

39

30 .

33

29

2.1920

23

20

17

14

11

08

04

2. 1901

2. 1S98

2.1895

92

89

85

82

79

70

73

70

 GO

2. 1803

60

57

54

50

47

44 v

41

38

34

2. 1831 

log E 

diff.l"=+0.13

0. 9830

44

51

59

60

74

81

. 89

G.989G

0. 9904

0. 9912

19

27 .

34

42

50

57

05

73

80

0.9988

G. 9995

7. 0003

11

18

20

34

41

49

57

7.00C4

72

80

88

7.0095

7. 0103

11

1.9

20

34

7. 0142

50

57

05

73

81

88

7. 0190

7. 0204

12

7.0220

27

35

43

51

59 - ' 67

75

82

90

7.0298

logF 

diff.lO'=-G.7

7.333

7.320

7.307

-

'7.293
236 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 20. Geodetic position computations Continued.

LATITUDE 71°.

[BULL. 214.

Lat.

0 /

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

56

. 57

58

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. 608 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

33

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. 608 6901

8.508 6893

85

78

70

62

55

47

40

8. 508 6832

24

17

. 09

8. 608 6802

8.608 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 

diff.l"=-0.05

2. 1831

28

25

21

18

15

12

08

05

2. 1802

2. 1799

95

92

89

86

82

79

76

72

69

 2.1766

62

59

56

52

49

46

42

39

36

2. 1732

29

26

22

19

16

12

09

06

2. 1702

2. 1699

95

92

89

85

82

78

75

72

68

2. 1665

61

58

54

51

48

44

" 4137

34

2. 1630

logE 

diff.l"=+0.13

7. 0298

7.030C

14

22

30

38

46

54

62

70

7. 0378

85

7. 0393

7.0401

09

17

26

33

41

49

7.0457

66

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

27

36 ' 44

52

60

68

77

85

7.0693

7.0701

09

18

26

34

42

61

59

67

75

7.0784

. logF 

diff.lO"=-7.2

7.293

7.279

7.265

7.250
GANNETT.] GEOGKAPHIC TABLES AND FOBMULAS.

Table of values of loy sec

237

^

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

log sec 4

0. 000 000

1

1

1

1

1

1

1

1

2

2

2

2

2

3

3

3

3

*

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

log sec 4

(A9) .

0.000 004

4

4

4

5

5

5

6

6

6

7

7

7

8

8

 8

9

9

46

47

48

49

50

61

52

53

64

55

56

67

58

59

60

61

62

63

log sec 4 

fop)

0. 000 010

10

11

11

11

12

12

13

13

14

14

15

15

16

16

17

18

18

 

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

log sec 4

0. 000 019

19

20

21

21

22

22

23

24

24

25

26

26

27

28

29

29

30

A<p

82

83

84

85

86

87

88

89

90

91

' 92

93

' 9495

96

97

98

99

log sec 4

0. 000 03132 

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

6

6

7

8

9

= . 3. 280 833

6. 561 667

9.842 500

13.123 333

16.404 166

19. 685 000

22. 965 833

26.246 666

29.527 500

Feet to meters.

^ _

2

3

4

5

6

7

8

9

0. 304 8006

0. 609 6012

0. 914 4018

1.219 2024

1.524 0030

1.828 8037 '

2. 133 6048

2.4384049

2. 743 2055

To convert:

Kilometers to stat1

2

3

4

5

6

7

8

9

ute miles.

= 0. 621 3699

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. 609 347

3. 218 694

4. 828 042

6.437 389

8.046 736

9. 656 083

11.265 430

12. 874 778

14.484 126
238 GEOGRAPHIC TABLES AND FORMULAS. fBULL.214.

»

Table of corrections to longitude for difference in arc and sine.

logs(-)

3.876

4.026

. 4.114

4.177

4. 225

4.265

4. 298

4.327

4.353

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. 701

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

12

13

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

S..255

3.270

3.283

3.297

3.310

3.322

3:334

3.343

3.358

3.369

logs(-)

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

3.677

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

10gAA( + )

3. 681

3. 687

3.692

3.697

3.702

3.708

3.713

3. 718

3.723

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 AZIMUTHS 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 + 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+II)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 

10§ Oi ^9> irom (1). If cos a is smaller than sin <*, find s from 

log s cos a in (11). As a check on the work compute the second
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 239

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. 

v ' = 37 45 09 .30 Given.

A<p = 38' 17" .70

=2297" .70 (1) 

log A <p = 3.3012933 

log C = 1.303CO 

log S3 sin-a = 8.75770

log (II) 0.06130 (7)

(II) = 1" .152 

log D = 2.3812 

log (I + 11)3 = c.7226

log (III) 9.1038 (8)

III = 0" .13

log E = 0.0711

.ogS2 sin=a = 8.7577

log I = 3.3613

log IV = 8.1901 (9) 

IV = -" .02

(II) = 4- 1.15"

(III) = + 0.13 

IV = - .02

Sum = + 1.26" (10) 

A <p = 2297.70

(I) = 2296.44

Longitude = A = 104° 32' 48" .20 Given 

A' = 104 49 05 .50 Given

A A = 16' 17" .30 +

= 977" .30 + (2) 

log A A = 2.9900279

 log A A eorreetion = + 16 

logS (sealed distance) correetion = 99

(apply with opposite sign) - 83 (3) 

log A A' = 2.9900362 (4) 

log A< = 8.5091750 (5) 

See <p' = 0.1020092

8.6111842 (+) 

log A A' = 2.9900362 (+)

log S sin a = 4.3788520 ( + ) (6) 

log S cos a = 4.8500742 (+) (11)

Sill a. 

COS a

tan a = 9.5287778 (12)

log (I) = 3.3610475 

log (B) =8.5109733

log S cos a = 4.8500742 (11) 

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)
240 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 21. Zo<7 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

17 00

17 30

18 00

18 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 m.

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-

L40675

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

I.' 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

Logm.

1.40349

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
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 241

APPROXIMATE SPHERICAL EXCESS.

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

miles by 75.5.

TABLE 22. Mean refraction. 

SI II

3P

O 1

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

10 

20 

30 

40 

50

50

10 

20 

30 

40 

50

GO

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 

1248.3 

12 23.7 

12 0.7

11 38.9

11 18.3 

10 58.6 

10 39.6 

10 21.2 

10 3.3

946.5

930.9 

916.0 

9 1.9 

848.4 

8 35.0

823.3

811.6 

8 0.3 

749.5 

739.2 

729.2

719.7

n 

124.9 

116.9 

108.8 

100.8 

!)2.9 

«5.2 

77.9 

71.1 

04.7 

59.0 

.53.9 

4'.).4 

45.6 

42.3 

39.8 

37.5 

35.6 

33.2 

30.9 

28.7 

26.7 

24.6 

23.0 

21.3 

20.6 

19.7 

19.0 

18.4 

17.9 

16.8 

15.6 

14.9 

14.1 

13.5 

12.8 

12.3 

11.7 

11.3 

10.8 

10.3 

10.0 

9.5

If3.1 fXS

5P

o /

70

10 

20 

30 

40 

50

80

10 

20 

30 

40 

50

90

10 

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.

i n 

1 19.7

7 10.5 

7 1.7 

653.3 

645.1 

637.2

629.6

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

511.2 

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

421.4 

418.0 

414.6 

411.3 

4 8.1

4 4.9

4 1.8 

358.8 

355.9 

353.0 

350.2

347.4

n

9.2 

8.8 

8.4 

8.2 

7.9 

7.6 

7.3 

7.1 

6.8 

6.6 

6.4 

6.1 

6.0 

5.7 

5.6 

5.5 

5.2 

5.1 

6.0 

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

"e * g-0 

i- D

03 i& di-u

%«

o /

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.

/ // 

347.4

3 42. 1 

337.0

3 32.1

327.4 

322.9

3 18.6

3 14.5 

310.5

3 6.6

3 2.9 

2 59.3

255.8

252.5 

249.3

246.1

243.1 

240.2

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 10.9

2 8.9

2 7.0 

2 5.1

2 3.2

2 1.4 

159.6

1 57.8

1 56.1 

1 54.4

1 52.8

1 51.2 

149.7

148.2

a 

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

'S <U s«t-i 3

0.5 

3P

0 1

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

1 39.7

1 38.4 

] 37.1

135.8

1 34.5 

1 33.3

1 32.1

1 30.9 

1 29.8

1 28.7

127.6 

126.5

1 25.4

1 24.3 

123.3

1 22.3

121.3 

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

1 10.3 

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

f\ Q

0.8 

0.8 

0.8 

0.8 

0.7

'a °'

llp,*g

3*

0

42 

43

44 

45 

46

47 

48 

49 

50 

Tf 

52 

53

54 

55 

56

57 

58 

59 

 

61 

62 

63

64 '65 

66

6V 

68 

69 

70 

71 

72 

73

V4 

75 

76 

77 

78 

79 

80

81 

82 

86 

90

Kef raction.

n 

64.0 

61.8

59.7 

57.7 

55.7

53.8 

51.9 

50.2 

48.4

46.7 

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

li.o" "TTo"

JLt7« \j

18.8 

17.7

16.6 

15.5 

14.5

J.O.rt

12.3 

11.2

10.2

9.1 

8.1 

4.1 

0.0

n

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 

3.1 

1.0 

1.1 

1.1 

1.1 

1.0 

1.1 

1.0 

4.0 

4.1-

Bull. 214 03 16
242 GEOGRAPHIC TABLES AND FORMULAS; [BULL.214.

TABLE. 23. Corrections for curvature and refraction, in feel=0.574 (distance, miles} 2 . 

[Difference in feet between the apparent and trne level at distances varying from 1 to 66 miles.]

Distance, 

miles.

i

.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

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

4445'

46

47

48

49

50

51

52

53

54

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

1,35], 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

21.5 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
GANNETT.] GEOGRAPHIC TABLES AND FOKMULAS. 243

TABLE 24. For obtaining differences of altitude for any minute up to 15 degrees, and for

any distance.

[Prepared by Arthur P. Davis.] 

EXPLANATION OF 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........................................-f- 3,149
244 GKEOGBAPHIC TABLES AND FORMULAS. lBULi,214. 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

0°.

1

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

1.5

3.1

4.6

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

190

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

15

23

31

38

46

54

61

69

77

84

92

100

108

115

123

131

138

146

154

161

169

177

184

192

200

207

215

223

230

238

246

253

261

269

276

284

292

 300

307

315

323

330

33$

346

353

361

369

376

. 384

392

399

407

415

422

430

438

445

453

461

6

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

'535 525

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

615

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

726

737

!)

14

28

41

55

69

83

97

111

124

138

152

166

180

194

207

221

235

249

263

276

290

304

318

832

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 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

5.6

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

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

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

aFor 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. 245 

TABLE 24. 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

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

50

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

110.7

118. 3

119.8

121, 4

122.9.

124.4

120. 0

127.5

129.0

130. 0

132. 1

133.0

135. 2

136.7

138. 3

139. 8

14.1, 3

142. 9

144. 4

140. 0

147. 5

149.0

150.6

152. 1

153. 6

155. 2

156.7

158.2

159.8

161,3

162. 9

104. 4

105. 9

107. 5

109.0

170.0

172.1

173. 0

176. 2

170.7

178.2

179.8

181.3

182. 8

184.4

'2

184.3

187.4

190. 5

193.5

190.6

199.7

202.8

205. 8

208.9

212.0

215. 1

218. 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

201.2

204.2

267. 3

270. 4

273.5

276. 5

279.0

282. 7

285.7

288. 8

291, 9

295. 0

298.0

301.1

304.2

307.3

310.3

31 3. 4

31 0. 5

319.0

322. 0

325. 7

328.8

331. 9

334.9

338.0

341.1

344.2

347.2

850.3

353.4

350. 5

359.5

302. 0

305.7

368. 8 .

:t

276

281

286

290

295

300

304

309

313

318

323

327

332

336

341

346

350

355

359

304

309

373

378

383

387

392

390

401

400

410

415

419 424"

429

433

438

442

447

452

456

461

400

470

475

479

484

489

493

498

502

507

512

616

521

525

530

535

539

544

549

553

4

369

375

381

387

393

399

406

412

418

424

430

436

442

449

455

461

467

473

479

485

492

498

504

510

516

522

528

535

541

547

653

559

565

571

578

584

590

590

002

608

615

621

427

033

039

645

651

058

664

670

676

682

' 688

694

701

707

713.

719

725

731

7S!8

5

461.

408

470

484

492

499

507

515

522

530

538

545

553

561

568

576

584

591

599

607

614

622

630

638

045

053

661

668

676

684

091

099

707.

714

722

730

737

745

753

700

708

776

784

791

799

807

814

822

830

837

845

853

860

868

876

883

891

899

907

914

922

(1

553

562

571

581

590

599

608

618

627

030

045

054

004

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

980

996

1,005

1,014

1,023

1,032

1, 042

1,051

1, 000

1,009

1,079

1,088

1, 097

1,106

7

645

650

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

940

957

968

979

989

1,000

1,011

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, 226

1, 237

1,248

1,258

1,269

1,280

1,291

8

737

750

702

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

1,165

1, 168

1,180

1,192

1,204

1,217

1,229

1,241

1,254

1,200

1, 278

1,291

1, 303

1,315

1,327

1,340

1, 352

1,304

1,377

1,38!)

1,401

1,414

1, 420

1,438

1,450

1,465

1,475

829

843

857

871

885

899

912

926

940

954

908

982

995

1,009

1,023

1,037

1,051

1, 065

1,078

1, 092

1, 106

1, 120

1,134

1,148

1,161

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

1,309

1,383

1, 397

1,410

1,424

1,438

1,452

1,400

1,480

1,493

1.5C7

1 '521

l!535

1,549

1, 503

1,570

1,590

1,004

1, 018

1, 632

1,643

1,659

Corrections for curvature, refraction, and 

height of instrument."

Miles.

16. 1

16.2

16.3

10. 4

16.5

16.6

16.7

16.8

16.9

17.0

17.1

17.2

17.3

17.4

17.5

17. 0

17.7

17. 8

17.9

18.0

18.1

18.2

18.3

18.4

18.5

18. 6

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, 6

21.7

21.8

21.9

22.0

Feet.

153

155

157

159

161

163

165

167

168

170

172

174

170

178

180

182

184

186

188

190

193

195

197

199

201

203

205

207

210

21.2

214

216

218

221

223

225

227

230

232

234

230

239

241

243

240

248

250

253

255

258

200

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

26,0

20.8

27.0

27.2

27.4

27.0

27.8

28.0

28.2

28.4

28.0

-28.8

29.0

29.2

29.4

29.0

29.8

30.0

Feet.

285

287

290

293 "295

298

300 '303

306

308

311

313

310

319

321

324

' 327

330

332

335

 338

341

' 343

346 '349

352

355

358

360

303

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

aFor all distances under 1.6 miles the correction may be taken as +5 feet. Height of instrument 

is assumed 4.5 feet.
246 GEOGRAPHIC TABLES AND FORMULAS. [nm^.214. 

TABLE 24. 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

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,

184.4

185.9

187.5

189.0

190. 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. 6

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

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

3,095

1,101

1,107

5

922

930

937

945

953

960

968

970

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

6

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 , 203

1,272

1,282

1,291

1,300

1 , 309

1,319

1,328

1,337

1,340

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

1,603

1,014

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

1,524

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, 104

2, 177

2,189

2, 201.

2, 214

9

1,059

1, 673

1, 687

1,701

1,715

1,729

1,742

1, 750

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.ti

 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

Milcn.

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. «

1 1 . 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. n

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. . 247 

TABIYK 24. For obtcdniny differences of altitude for any minute, etc. Continued.

3°.

0

1

2

3

4

5

G

7

8

9

10

11

12

13

14

15

16

17

IS

19

20

21.

22

23

24

25

20

27

28

29

HO

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

56

57

58

59

60

1

270. 7

278. 3

279. 8

281. 3

282. 9

284.4

280. 0

287.5

289. 0

290. 6

292. 1

293. 7

295. 2

296. 7

298.3

299.8

301. 4

302. 9

301.4

300.0

307.5

309.1

310.0

312. 1

3*3. 7

315. 2

310. 8

318.3

319. 9

321.4

322. 9

324. 5

326. 0

327. 0

329. 1

330. 6

332. 2

333.7

335. 3

330. 8

338.4

339. 9

341.4

343.0

344.5

340. 1

347.0

349. 2

350. 7

352. 2

353. 8

355. 3

350. 9

358.4

300. 0

301. 5

303. 0

364.0

300. 1

367. 7

369. 2

<j

553.4

556.5

559. 0

562. 7

505. 7

568.8

671. 9

575.0

578. 1

581.2

584. 2

587 3

590. 4

593. 5

596. 0

599. 0

002. 7

605.8

608.9

612.0

015.0

618. 1

021.2

624.3

627.4

930.5

633. 5

630. 0

039. 7

042. 7

045. 9

049. 0

652. 0

055. 1

058. 2

061.3

004. 4

067. 5

070. 5

073. 0

676. 7

079. 8

682. 9

080. 0

089. 1

092. 1

695. 2

098. 3

701. 4

70 1. 5

707.6

710. 7

713. 7

710. 8

719. 9

723. 0

720. 1

729. 2

732. 3

735. 3

738. 4

:!

830

835

8S9

844

849

853

858

802

807

872

870

881

880

890

895

899

904:

909

913

 918

923

927

932

930

941

940

950

955

900

904

909

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, 001

1, 006

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, 150

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, 230

1,242

1 , 249

1,255

1, 201

1, 267

1, 273

1,279

1, 286

1, 292

1 , 298

1,304

1 , 310

1 , 310

1, 323

1, 329

1, 335

1,341

1,347

1, 353

1 , 300

1 , 360

1,372

1,378

1,384

1 , 390

1,397

1,403

1,409

1,415

1,421

1, 427

1, 434

1,440

1,446

1,452

1,458

1,405

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, 408

1,576

1,484

1,491

1,490

1,507

1,515

1, 522

1,530

1, 538

1,545

1,553

1, 561

1, 568

1 , 570

1,584

1 , 592

1,599

'1,607

1, 615

1,022

1,630

1,638

1 , 046

1,053

1, 001.

1,069

1 , 676

1,684

1, 692

.1 , 700

1. 707

1.7.15

1. 723

1J730

1, 738

1, 746

1, 753

1,761

1, 709

1,777

1,784

1,792

1,800

1,807

1,815

1, 823

1,831

1, 838

1 , 840

(i

1,660

1, 070

1,079

1,688

1,697

1 , 700

1,710

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, 141

2,150

2, 160

2, 169

2,178

2,188

2,197

2, 206

2,215

' .

1, 937

1,948

1,959

1, 909

1,980

1,991

2, 002

2,012

2,023

2, 034

2, 045

2, 056

2, 000

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, 201

2,271

2, 282

2, 293

2, 304

2,315

2, 325

2,336

2,347

2, 358

2,309

2,379

2, 390

2, 401

2, 412

2,422

2, 433

2, 444

2, 455

2, 406

2, 470

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, 302

2, 373

2, 380

2, 899

2,411

2,423

2, 430

2, 448

2,400

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

2,033

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, 800

2, 818

2,830

2,843

2,«855

2, 867

2, 880

2, 892

2, 904

2,917

2, 929

2, 941

2,954

9

2,490

2, 504

2, 518

2, 532

2, 546

2, 560

2, 574

2, 587

2, 601

2, 615

2, 629

2, 643

2,057

2, 071

2,085

2, 098

2, 712

2, 720

2, 740

2, 754

2, 708

2, 782

2, 795

2,809

2,823

2,837

2, 851

2,805

2,879

2, 893

2,906

2,920

2, 934

2, 948

2, 962

2, 976

2, 990

3,004

3, 017

3,031

3,015

3,059

3,073

.3,087

3, 101

3,115

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 instrument.a

Afitcs.

10. 1

10. 2

10. 3

10. 4

10.5

10. 0

10. 7

10.8

10. 9

' 11. 0

11.2

11. 4

11. 0

11. 8

12.0

12.2

12.4

12.6

12.8

13.0

13.2

13.4

13. 0

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

J6.4

16. 6

16. 8

17.0

17.2

17.4

17.6

17.8

18.0

18.2

18. 4

18. 6

1.8.8

19.0

19.2

19. 4

19.6

19. 8

20.0

21.0

22. 0

23.0

24.0

25.0

FccL

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

103

107

170

174

178

182

186

190

195

1.99

203

207

212

216

221

225

230

234

258

282

308

3:35

303

"For all distances under 1.0 miles the correction may be taken ns +5 feet. Height of instrument 

is assumed 4.5 feet.
248 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued. 

/ 4°

0

1

2

3

4

5

0

7

8

9

10

11

12

13

14

15

1C

17

18

39

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

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. f»

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

837

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

1,637

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

l',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

2,132

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

G

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, 60f.

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, 306

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

3,5%

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

3,893

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

0.7

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.C

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,.

0

7

8

9

10

11

12

13

14

15

16

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

60

61

62

63

Mflcs.

10.2

10.3

10.4

10.5

10.6

10.7

10.8

10.9

11.0

11.1

11.2

11.3

1.1.4

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

SO

82

83

84

80

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 be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet. '
GANNETT.] GEOGEAPHIC TABLES AND FOEMULAS. 249 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

5°

0

1

2

3

4

5

G

7

8

9

10

11

12

13

14

15

1C

17

18

19

20

21

22

23

2-1

25

20

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

1

461.9

463. 5

465.0

466. 6

468. 1

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

517.7

519.3

520. 8

522. 4

523.9

525.5

527. 0

528.6

530.1

531. 7

533. 2

534. 8

536. 3

537.9

539. 4

541.0

542.5

544. 1

545.6

547.2

548. 7

550.3

551. 8

553. 4

555. 0

»

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

:t

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

1,614

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

1,879

1,885

1,891.

1,397

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, 04.0

2,0-16

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

2,13?.

2, 139

2,145

2, 154

2,158

2, 166

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, 696

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

2,769

2,767

2,775

6

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

2,986

2, 995

3, 004

3,013

3,023

3, 032

3,041

3, 050

3, 060

3,069

3,078

3,088

3,097

3,106

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, 265

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, 364

3, 375

3, 385

3, 396

3,407

3, 418

3, 429

3,440

3,450

8,461

3,472

3, 483

3,491

3, 505

3,515

3, 526

3,537

3, MS

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

3,754

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

4,142

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

4.32S

4,340

4,353

4,365

4,378

4,390

4,402

4,415

4,427

4,440

!>

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

4,576

4, 590

4, 604

4,618

4,632

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, 855

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 

heigh t of instrumen 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

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. 0

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

80

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 be taken as + 5 feet. Height of instrument 

is assumed 4.5 feet.
250 C4EOGRAJ?HIC TABLES AND FORMULAS. [BULK.214. 

TABLE 24. For obtaining differences of altitude for any minute, etc.. Continued.

6°

0

1

2

3

4

5

C

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

54

55

56

57

58

59

60

1

555.0

556.5

558.1

559. 6

561. 2

562.7

564.3

565.8

567.4

568.9

570.5

572.0

573.6

575.2

576.7

578.3

579.8

681.4

582.9

584.5

586.0

587.6

689.1

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

2,59o

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

4,451

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, 063

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

5,186

9

4,995

5 009

5, 023

5,037

5, 050

5,064

5,078

6, 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, 428

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

6,681

5,695

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 

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

36

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

1.2. 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.
GANNKTT.] GEOGRAPHIC TABLES ANJ) FORMULAS. 251

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

'0

1

2

3

4

6

6

7

8

9

JO

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

2G

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

40

47

48

49

50

51

62

53

54

55

50

57

58

59

60

1

048.3

649.9

051.4

653.0

054.5

656. 1

657.7

069.2

660.8

662.4

003. 9

605.5

667. 0

668. 0

670. 2

071. 7

673.3

674.8

676. 4

678. 0

679. 5

681. 1

682. 6

084. 2

685.8

087.3

088.9

690. 5

092. 0

693.0

095. 1

090. 7

098. 3

099.8

701. 4

702'. 9

704. 5

700. 1

707.0

709. 2

710. 8

712.3

713. 9

716.5

717. 0

718.0

720.2

721. 7

723. 3

724. 8

720. 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, 31 5

1,318

1, 322

1,325

1, 328

1,331

1, 334

1, 337

1, 340

.1,343

1,347

1,350

J.353

1,350

1,359

1,302

1,305

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, 400

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

1,450

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

1,904

1, 908

1,973

1,978

1, 982

1,987

1, 992

1,990

2, 001

2,006

2, 010

2,015

2, 020

2, 025

2,029

2, 034

2,039

2,043

2,048

2, 053

2, 057

2, 002

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

2,140

2, 151.

2, 156

2,100

2, 165

2, 170

2,175

2, 179

2,184

2, 189

2,193

2,198

2,203

2, 207

2,212

2, 217

2,221

2,220

4

2,593

2,599

2,600

2, 012

2,618

2,024

2, 031

2, 037

2, 043

2,649

2,656

2,662

2, 668

2, 674

2, 681

2, 687

2, 093

2, 099 .

2, 706

2,712

2,718

2, 724

2, 731

2, 737

2, 743

2, 749

2,750

2,702

2, 708

2, 774

2, 781

2, 787

2, 793

2, 7f>9

2, 800

2, 812

2, 818

2, 824

2, 831

2, 837

2, 843

2,849

2,850

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

2,908

5

3,242

3, 249

3,257

3,265

3, 273

3, 281

3,288

3,290

3,304

3,312

?., 320

3, 327

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, 540

3,55-1

3, 502

3,509

3, 577

3, 585

3, 593

3,601

3,009

3,016

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

4,090

4,105

4,115

4,124

4,133

4,143

4, 152

4, 101

4, 171

4,180

4,190

4, 199

4,208

4,218

4,227

4, 230

4,240

4,255

4,205

4,274

4,283

4,293

4, 302

4,312

4,321

4,330

4,340

4, 349

4,358

4,308

4,377

4,38?

4, 390

4,405

4,415

4,424

4,434

4,443

4,452

7

4,538

4,549

4,500

4, 571

4,582

4,593

4, 604

4,615

4,620

4,636

4,647

4,658

4,669

4,680

4, 691.

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, 904

4,975

4, 980

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, 230

6, 249

5, 201

5, 274

5, 286

5, 299

5,311

5, 324

5,330

5,349

5,301

5, 374

5, 386

5,399

5,411

5,424

5,436

5,449

5, 401.

5, 474

5,486

5,499

6,511

5,524

5,530

5, 549

5, 561

5, 574

5,586

5, 599

5, Oil

5, 024

5,036

5, 049

5, 001

5,074

5, 086

5,699

5,711

5, 724

5, 736

5, 749

5, 701

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

0,045

6,060

6, 074

6,088

0, 102

6,116

0, 130

0,141

0, 158

6, 172

6, 186

0,200

0,214

6, 228

6,242

0,250

0, 270

6, 284

6, 298

6, 312

0, 327

0,341

0, 355

0, 309

0,383

6, 397

6,411

6, 425

0, 439

0, 453

6, 467

6, 481

0, 495

0, 510

6, 524

0, 538

0, 552

0, 566

0, 580

6,594

6,008

6, 022

0, 636

0, 650

6, 604

6,678

Corrections for curvature, refraction and 

heigh t of i nstrumen t.a

Miles

1.6

2.1

2.5

2.8

3.1

3.4

3.0

3.8

4.1

4.3

4.5

4.7

4.8

5.0

5.2

6.4

5.5

5.7

5.8

0.0

6.1

0.3

0.4

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

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

'5958

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

IS. 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

14.0

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.

04

65

67

68

69

70

71

73

74

75

77

78

79

80

82

83

84

86

87

89

90

91

93

94

96

9799 '

.100

102

103

105

100

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.
252 C4EOG&APHIC TABLES AKD FORMULAS. [Bim..2l4. 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

8°

0

1

2

Q O

4

5

6

7

8

9

10

11

12 j

14 

15

16 

17

IDJo

19

20

21

22

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

64

55

56

57

58

59

60

1

742.1

743.6

745.2

746.8

748.3

749.9

751.5

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

775.0

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

796.9

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

1,610

1, 61'

1, 622

l,62o

1,62

1,63

1,63

1,63

1,64

1,64

1,64

1,65

1,65

1,65

1,66

1,66

1,66

1,60

1,07

8

,220

,231

,230

,240

,245

,250

,254

,259

,264

,269

,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

2,406

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 

3,050

3,050 

3, 062

3,069 

3, 075

3,081

3,087

3,094

3, 100

3,106

3,112

3,119

3,125

3, 131

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

4,07

4,07

4,08

4,09

4,10

4,11

4,11

4,12

4,13

4,14

4,150

4,15

4,16

4,17

4,18

G

452

462

,471

481

,490

,499

,509

,518

,528

,537

,546

,556 

,565 

,575

,584 

,593

,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

4,85

4,86

4,876

4,88

4,89

4,90

4,91

4,92

4,93

4,94

4,95

4,96

4,97

4,98

4,98

4,99

5,00

5,01

7 

194

205

,216

,227

,238

,249

,260

,271

,282

,293

,304

,315 

5,326 

5,337

6,348 

5,359

5,370 

5,381

6,392

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

6,579

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

5,799

5,810

5,821

5,832

6,843

5,854

8

5,936

5,949

5,962

5,974

5,987

5,999

6, 012

6, 024

6,037

6,049

6,062

6,074 

6,087 

6,100

6, 112 

6,126

6,137 

6,150

6,162

6,175

6,187

6,200

6,212

6,225

6,237

6,250

0,263

6,275

6,288

6,800

' 6, 313

6,325

6,338

6, 351

6,303

0,370

6,388

6,401

6,414

6,426

0, 439

6,451

6,464

6,476

6,489

6,601

6,514

6,527

6,539

6,552

6,564

6,577

6,590

6,602

6,615

6,627

6,640

6,652

6,665

. 6, 678

6,690

9

6,678

6,693

6,707

6,721

6,735

6,749

6,763

6,777

6,791

6,806

6,820

6,834 

6,848 

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

7,110

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."

Miles.

1.6

2.1

2.5

2.8

3.1

3.4

3.0

3.8

4.1

4.3 

4.5 

4.7

4.8 

5.0

5.2 

5.4 5.'5

5.7

5.8

0.0

6.1

6.3

6.4

6.5

0.7

0.8

0.9

7.0

7.2

7.3

7.4

7.5

7.0

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

10.0

10.1

Feet.

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

30

37

38

39

40

41

42

43

44

45

40

47

48

49

50

51

52

53

5

5

5

5

5

0

0

6

6

lies.

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1 

1.2 

1.3

1.4 

1.5

1.6 

1.7

1.8

1.9

2.0

2.1

2.2

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.

15.

15.

15.

15.

15.

15.

15.

15.

15.

16.

Feet.

64

65

67

08

09

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

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 4.6 feet.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 253 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

9°

. 0

1

 2

8

4

5

0

7

8

<J

10

11

12

;s

14

15

16

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

56

57

58

59

00

1

836. 3

837.8

839.4

841.0

842.6

844. 2

845.7

847.8

848.9

850.5

852. 0

853.6

' 855.2

856. 8

858.3

859. 9

861.5

863.1

864.7

866. 2

867. 8

869. 4

871.0

372. 5

874.1

875.7

877.3

878.8

880. 4

882.0

883.6

885.2

886. 7

888.3

889.9

891. 5

893.1

894. 6

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

2

1, 673

1,676

1,679

1,682

1,685

1,688

1,691

1, 695

1,698

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

1,764

'1,767

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

3

2,609

2,514

2,518

'2,523

2,528

2, 532

2,537

2,542

2,547

2, 551

2,556

2,561

2, 566

2,570

2,575

2, 580

2, 585

2,589

2,594

2, 599

2, 603

2,608

2, 613

2, 618,

2, 622

2, 627

2, 632

2, 637

2,641

2, 646

2, 651

2, 656

2,660

2, 665

2, 670

2, 674

2, 679

2, 684

2,689

2,693

2,698

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, 765

2,769

2,774

2,779

2,784

2,788

2, 793

4

3,345

3,351

3,358

3, 364

3,370

3,377

3,383

3,389

3, 396

3, 402

3, 408

3, 414

3, 421

3,427

3,433

3,440

3, 446

3, 452

3,458

3,465

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, 566

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

3,654

3, 661.

3, 667-

3,673

3.680

3^686

3,692

3,699

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

4,260

4,268

4,276

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

4,568

4,576

4,584

4,592

4,600

4,608

4,616

4,623

4,631

4,639

4,647

4,655

(>

5, 018

5, 027

5,037

5,046

5,055

5,065

5,074

5,084

5, 093

5,103

5, 112

5, 122

5, 131

5,141

5,150

5,160

5, 169

5,179

5, 188

5,197

5,207

5, 216

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, 396

5, 406

5,415

5,425

5,434

5,444

'5,453

5,463

6,472

5, 482

5,491

5,501

5,510

5,520

5, 529

5,539

5,548

5,558

6,567

5,577

5, 586

7 '

5, 854

5, 865

5,876

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

6,163

6,174

6,185

6,196

6,207

6,218

6, 229

6.240

6,252

6,263

6, 274

6,285

' 6, 296

6,307

6, 318

6, 329

6,340

6,351

6, 362

6,373

6, 384

6,395

6, 406

6,417

6, 429

6, 440

6,451

6,462

6,473

6,484

6,495

6,506

6', 517

8

6,690

6,703

6,715

6,728

6,741

6,753

6,766

6,778

6,791

6,804

0, 816

6,829

6,842

6,854

6,867

6, 879

6, 892

6,905

6, 917

6,930

6,943

6, 955

6,968

6,960

0,993

7,006

7,018

7, 031

7,043

7,056

7,008

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

7,246

7,258

7, 271

7,284

7,296

7,309

7, 322

7,334

7,347

7,360

7, 372

7,385

7,397

7,410

f, 423

7,435

7,448

9

7,526

7,541

7,555

7,569

7,583

7, 597

7,612

7,626

7,640

7,654

7,668

7,683

7,697

7,711

7,725

7,739

7,754

7,768

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

8,080

8, 095

8, 109

8,123

8, 137

8, 151

8, 166

8,180

8, 194

8,208

8,223

8,237

8,251

8,265

8,279

8,294

8, 308

8, 322

8,336

8,1351

8, 365

8,379

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

5.6

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

i.O

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. 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

16.5

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

12Q

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. : -. « r<
254 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 24. 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. «

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

3

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

S, 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, 695

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

6

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, C24

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!l72

8,185

8,198

8,211

9

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 curva- 

'ture, refraction and 

height of instrument.a

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

11.6

11.7

11. 8

11.9

12.0

12.1

Feet.

64

65

67

68

69

70

71.

73

74

75

77

78

79

80

82

83

84

86

87

89

12.2 ! 90

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

15.3

15.4

15.5

15.6

15.7

15.8

15.9

16.0

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. 255 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

11°

/ 

0

1

2

3

4

5

G

7

S

9

10

11

12

13

14

15

1C.

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

57

58

59

60

1

1,026.8

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, 046

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

2

2,053

2,056

2, 059

2,062

2,066

2, 069

2,072

2,076

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

a

3,079

3,084

3,089

3,093

3,098

3,103

3,108

3,113

3, 117

3, 122

3,127

3, 132

3, 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

6,164

5, 172

5,180

5,188

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

o, 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

6, 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

G, 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

7,251

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, 6-13

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

8,313

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

8,630

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, 407

8, 481

9,496

9, 510

9, 524

9, 539

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 instrument.n

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

5.6

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

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

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

1-1.6

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

1.27

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 +5 feet'. Height of instrument 

is assumed 4.5 feet.
256 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 24. 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

'2928

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

1,132

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

Ifl88

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

2,299

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

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

4, 656 5, 821

4,663 5,829

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

5,837

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

6

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

6,869

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

7

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

9

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, 549

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.a

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

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

76

77

78

79

80

b2

83

84

86

8789-

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 + 6 feet. Height of instrument 

is assumed 4.5 feet.
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. 257 

TABLE 24. For obtaining differences of altitude for any minute, etc. Continued.

13°.

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

65

56

67

58

59

60

1

1,219

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, 270

1,277

1,279

1, 281

1,282

1,28-1

1,286

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

2

2,438

2, 441

2, 444

2, 448

2/451

2, 454

2, 457

2, 461

2,404

2,407

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, 642

2,545

2,548

2,551

2,555

2,558

2, 501

2,565

2,568

2,571

2, 574

2, 578

2, 681

2,584

2,587

' 2, 591

2,594

2, 597

2,600

2,604

2,607

2, 010

2, 013

2, 617

2, 620

2,623

2,626

2,630

2,633

it

3,657

3,662

3,667

3, 072

3,670

3, 681

3,686

3,691

3,696

3,701

3,706

3,710

3, 715

3,720

3,725

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

3,860

3,871

3,870

3, 881

3,886

3,891

3,896

3.900

3,905

3,910

3, 916

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

4,980

4,993

4, 999

5,006

5,012

5,019

5, 025

5,032

5,038

5,044

5,051

5,057

5,004

5,070

6,077

5,083

5,090

5,096

5,103

5,109

5,110

5, 122

5,129

5,135

5,142

6,149

5,155

5, 162

5, 168

5, 175

5, 181

5, 188

5,194

6,201

5, 207

5, 214

5,220

5,227

5,233

5,240

6,246

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

0,168

6,176

6, 184

6, 192

6,200

6, 208

0,210

0,224

0, 233

6, 241

6, 249

6, 257

6, 205

0,273

6,281

6, 289

6,297

0,300

6,314

6, 322

6,330

0,338

0, 340

0,354

6,362

6,371

6,379

6, 387

6, 395

6,403

6,411

6,419

6, 427

6,436

0, 444

0,452

6,460

6,468

6,476

6,484

0, 493

0,501

6, 609

0,517

6,525

6,533

6,541

0,550

0,558

0,560

0,574

,6,582

(i

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

7,409

7,479

7,489

7,499

7,508

7,518

7, 528

7,537

7,547

7,557

7,507

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, 093

7,703

7, 713

7, 723

7,732

7,742

7,752

7,702

7,771

7,781

7,791

7,801

7,811

7, 820

7,830

7,840

7,850

7,859

7,809

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

8,646

8,658

8, 669

8,680

8,692

8,703

8,714

8,726

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

8,896

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

9,946

9,959

'9,972

9,986

9,998

10,011

10, 024

10, 037

10, 050

10,063

10, 076

10, 089

10, 102

10,115

10,128

10, 141

10,154

10, 107

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, 376

10, 388

10,401

10, 414

10,427

10, 440

10,453

10, 466

10, 479

10,492

10,506

10, 519

10,532

9

10,971

10, 985

11, 000

11,015

11, 029

11,044

11,058

11,073

11, 087

11, 102

11, 117

11, 131

11,146

11, 160

11,175

11,190

11, 204

11,219

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

11, 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, 613

11,028

11,043

11,657

11,672

11,687

11,701

11,716

11, 731

11,745

11,760

11,775

11,789

11,804

11,819

11,833

11,848

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

6.6

5.7

5.8

6.0

6.1

6.3

6.4

6.5

0.7

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

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

64

65

56

68

59

60

61

62

63

Allies.

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

12.6

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

15.6

15.6

15.7

15.8

16.9

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

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.

Bull. 214 03 17
258 GEOGEAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 24. 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

11.

42

4344'

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

s 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

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

3

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

«

5,266

5,272

5,279

5,285

5,292

5,298

5,305

5,312

5,318

5,325

5,331

5,338

6,344

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, 601

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, 059

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

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

9,6%

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

9.8D7

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

10, 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

1.1, 108

11, 121

11,134

11, 147

11,160

11, 173

11, 187

11, 200

11, 213

11, 226

11,239

11, 2o2

11, 266

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; 210

12, 231

12, 245

12, 260

12, 276

12, 290

12, 304

12, 319

12, 334

12, 349

12, 363

12, 378

12, 393

12, 408

12, 422

12, 437

12, 452

1.2,467

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 

height of i nstruin 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

0.0

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

14,3

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

81

86

87

89

90

91

93

94

96

97

99

1.00

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 be taken as -)- 5 feet. Height of instrument 

is assumed 4.5 feet,
GANNETT.] "GEOGRAPHIC TABLES AND FOBMULAS.^ '259 

TABLE 25.- Horizontal distances and elevations from stadia readings.

This is a most generally useful stadia table for rods rending 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 threefourths and li feet and is represented- as a coustant equal to c. 

For ordinary work it is 'not necessary to take the latter into account. 

The 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

d=325 feet.

If we accept the focal distance f-\-c as 1.25 feet, we have from the 

tables

<Z' = 3.25 feetX 99.05+1.24=323.15 feet,

>

and

A=3.25 feetx 9.68+0.11 = 31.57 feet.
260 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 25. Horizontal distances and elevations from stadia readings.

Minutes.

0

2

4

6

8

10

12

14

16

18

20

22 '

24

26

28

30

32

34

36

38

40

42

44

4648 '

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

l.-ll

1.16

1.22

1.28

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.] GEOGRAPHIC TABLES AND FORMULAS. 261 

TABLE 25. Horizontal distances and elevations fron) 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

'5856

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

9;J. 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

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

c°.

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

1 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

1.2. 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

1.3. 1 7

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
262 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 25. 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

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.

43. 78

13.84

1.3. 89

13. 95

14. 01

14. 06

14.12

14. 17

14.23

14.28

1.4. 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 elevation.

15. 45

15. 51

15. 56

15.62

15.67

15. 73

15. 78

15. 84

15.89

15. 95

16.00

16.06

1.6.11

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

.1.7. 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

IS. 78

18. 84

18. 89

18.95

19. 00

19.05

19. 11

19.16

19. 21

1.9. 27

1.9. 32

19. 38

19. 43

19. 48

19. 54

19. 59

1.9. 64

19. 70

19. 75

19. SO

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.] GEOGKAPHIC TABLES AND FORMULAS. 263 

TABLE 25. 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

' 4846

50

52

54

56

58

60

c=0. 75

c=l. 00

c=1.25

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

94.66

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. 4.0

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
264 GEOGRAPHIC TABLES AND FORMULAS. [BOLL.214. 

TABLE 25. 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=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

91.55

91.52

91.48

91.45

0.72

0.86

1.20

Difference

of elevation.

26.50

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

17°.

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. 23

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

29.58

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. 19

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

31. 06

31.10

31. 15

31. 19

31.24

01 00 OJ.. ZO

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
GANNETTO GKEOGBAPHIC TABLES AND FORMULAS. 265 

TABLE 25. 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=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

36.41

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
266 GEOGEAPHIC TABLES AND FOEMULAS. [suLL.214. 

TABLE 25. 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=l. 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

Difference

of eleva-

 tion.

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

38.53

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

80. 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

78.77

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

0.58
GANNETT.] GEOGRAPHIC TABLES AND FORMULAS. '267 

TABLE 25. 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=1.25

28°.

Horizontal distn noes.

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. 81

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

30°.

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. 15

0.38

0. 51

0.64
268 GEOGRAPHIC TABLES AND FORMULAS.

TABLE 26. For converting metric into United States measures. 

LINEAR.

[BULL. 214.

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

__ ^_ _

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

Kilo- . Mi] meters. iunes'

1 0. 62137

2 1. 24274

3 1 . 8341 1

4 . 2. 48548

5 3.10685 '

6 3. 72822

7 4. 34959

8 4. 97096 

9 5. 59233

SQUARE.

SP S1"ftre

meters. Jn«he9'

1 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. feet.

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

-Hec- . tares. Acrcs>

1 2. 471

2 4. C42

3 7. 413

4 9. 884

5 12. 355

6 14.826 

7 17. 297

8 19. 768

9 22. 239
GANNETT.J . GEOGEAPHIC TABLES AND FOEMULAS. 269

TABLE 27. For converting United States measures into metric. 

'LINEAR.

" ,=;

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 1. 828804

3 2. 743205

4 3. 657607

5 4. 572009

6 5. 486411

7 6. 400813

8 7.315215

9 8. 229616

Miles Kil0' Mlics> meters.

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.

**» ScenU-C 

in«hes- uieters.

1 6. 452

2 12.903

3 19.355

4 25.807

5 32. 258

6 38. 710

7 45. 161

8 51.613

9 58. 065

SSre *" 

lw'l> 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

Acres- 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
270 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214.

TABLE 28. For interconversion of mites, and logarithms of meters, for distances from 10

to 100 miles.

[Prepared by S. S. Gannett.]

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 meters....:......... 1...................... 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.................................. i. 8. 4048346

Log. of meters to log. of miles................................ I.... 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 28. For interconversion of miles and logarithms of meters.

Miles.

10.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

Log. meters.

4. 20665

4. 20882

4. 21097

4. 21312

4:21525

4. 21737

4. 2:1.949

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.] GEOGRAPHIC TABLES AND FORMULAS. 271 

TABLE 28. For interconversion of miles and Logarithms of meters Continued.

Miles.

:i :i . 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. 31046

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. 35122

DiiT. log 

.01 mile

38

37

36

35

34

33

32

31

Miles.

1.4. 00

.05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.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. 39134

4. 39276

4. 39417

4. 39558

4. 39698

4. 39838

4. 39977

4. 40116

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. 42149

4. 42282

Diff.log 

.01 mile

31

30

29

28

27

26

Miles.

16. 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.

4.4241 3

4. 42545

4. 4267(3

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

DifF. log. 

.01. mile.

26

25

24

23
272 " GEOGRAPHIC TABLES AND FORMULAS. [BULL.2M. 

TABLE 28. 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

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

21.00

.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

4. 51840

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

.10

.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. 61658

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

DifT. leg. 

.01 mile.

18

17

16
GANNETT.] GEOGKAPHIC TABLES AND FOKMULAS. 273 

TABUS 28. 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

.45

.50

.55

.60

.65

.70

.75

- .80

.85

.90

.95

28. 00

.05

.1.0

.15

.20

.25

.30 ".35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.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. 6645S

4. 66529

4. 66604

4. 66680

4. 66755

4. 66830

Diff.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. 6937!)

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

Diff.log. 

.01 mile.

15

14

Miles.

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

4P71315

4. 71383

4. 71451

4. 71518

4. 71585

4. 71652

4. 71719

4. 71787

4. 71853

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

Diff.log. 

.01 mile.

14

'

13

Bull. 214 03 IS
274 GEOGRAPHIC TABLES AND FORMULAS/ [BULL.214. 

TABLE 28. For interconversion of miles and logarithms of meters Continued.

Miles.

34. 00

. .05

.10

.15

.20

'.25

.30

.35

.40

.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

t)iff. log. 

.01 mile.

13'-

12 '

x

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. 771.32

4. 77191

4. 77250

4. 77309

4. 77368

4. 77426

4. 77485

4. 77544

4. 77602

4. 77661

4. 77719

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

0

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 FO.RMULAS. 275

TABLE 28. For intercanversion 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

DifY. 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. 85109

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

4.86514

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

)i(T. log. 

.01 mile.

.10

9

Miles.

46. 50

.55

.60

.65

.70

.75

.80

.85 .90*

.95

47. 00

.05

.10

. 15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

 .75

.80

.85

.90

.95

48.00

.05

.10

. 15o

.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. 88197

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

Din1 , log. 

.Olniile.

9
276 GEOGRAPHIC TABLES AND FORMULAS. [nuLL.214. 

TABLE 28. 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

Diff. 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-

.1.5

.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. 95828

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.] GEOGEAPH1C TABLES AND FOEMULAS. 277 

TABLE 28. For intwconversion of miles and logarithms of meters Continued.

Miles.

fi6. 50

.55

.60

.05

.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

i 95947

4. 95985

4. 96023

4. 96062

4. 96100

4. 96138

4. 961.76

' 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

.1.5

.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. 98117

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. 991.27

4. 991.62

4. 99198

4. 99234

4. 99269

4. 99305

4. 99340

4. 99376

4. 99411

4. 99447

4. 99482

4. 99517

Diff. log. 

.01 mile.

7

9

Miles.

61, 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

62. 00

.05

.10

.15

 .20

.25

.30

.35

.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. 001.83

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

5.01046

5. 01.079

5. 01 113

5. 01.1.47

5. 01181

'5. 01215

5.01249

Diff. log. 

.01 mile.

7

N
278 GEOGRAPHIC TABLES AND FORMULAS. [BULL. 214. 

TABLE 28. 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

,.-10

.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. 023^9

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. 0301 2

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. 05113

5. 05144

5. 05175

5. 05206

5. 05237

5. 05268

5. 05299

5. 05330

5. 05361

5. 05391

5. 05422

5. 05453

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. 279 

TABLE 28. For interconversion ofmil.es and logarithms of meters Continued.

Miles.

71. 50

.55

.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. 06907

5. 06997

5. 07027

5. 07057

5. 07086

5. 07116

5. 07146

5.07375

5. 07205

5. 07235

5. 07264

5. 07294

5. 07323

5. 07353

5. 07382

5. 07412

5. 07441

6. 07471

5. 07500

5. 07529

5. 07559

DifY. log. 

.01 mile

6

Miles.

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

5:0843.1.

5. 08460

5. 08488

5. 0851.7

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

Diff.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

.1.5

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

.90

.95

Log. meters.

5. 09031

5. 09059

5. 09088

5. 09117

5. 09145

5. 091.73

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. 1001 3

5. 10041

5. 10069

5. 10097

5.1.0124

5.10152

5.10180

5. 10207

5. 10235

5. 10263

5. 10290

. 5.10318

5. 10345

5. 10373

5. 10400

Diff.log. 

.01 mile.

6
280 GEOGEAPHIO TABLES AND FOEMULAS. [BULL.214. 

TABLE 28. For interconversion 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

Log. meters.

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. 1.0893

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. 11299

5. 11325

5.11352

5. 11379

5. 1.1406

5. 11433

5. 11460

5. 11487

5. 11513

5. 11540

5. 11567

5. 11594

5. 11621

.25 j 5.11647

.30

.35

.40

.45

5. 11674

5. 11701

5. 11727

5. 11754

Difl.Iog. 

01 mile.

5'

Miles.

81. 50

.55

.60

.65

.70

.75

.80

.85

.90

.95

82.00

. .05

.10

.15

.20

.25

.30

.35

.40

.45

.50

.55

.60

.65

.70

.75

.80

.85

1 .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. 11834

5. 11861

5. 11887

5. 11913

5. 11940

5. 11967

5. 11993

5. 12020

5. 1 2046

5. 12073

5.12099

5. 1 2126

5. 12152

5. 12179

5. 12205

5. 12231

5. 12258

5.12284

5. 1231.0

5.12337

5. 12363

5.12389

5. 12416

5: 12442

5.12468

5. 12494

5. 12521

5. 12547

5. 12573

5. 1.2599

5.12625

5. 12651

5. 12677

5. 1.2703

5. 12729

5. 12756

5. 12782

5. 1.2808

5. 12834

5. 12860

5. 12886

5. 12912

5. 12937

5. 12963

5. 12989

5. 13015

5.13041

5. 13067

Diff. log. 

01 mile.

5

Miles.

84.00

.05

.10

. 15

.20

.25

.30

.35

.-10

.45

.50

.55

.60

.65

.70

. 75

.80

.85

.90

.95

-85. 00

.05

.10

.15

.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. 281 

TAHIVE 28. For interconversion of miles and logarithms of meters Continued.

Miles.

8fi. 50

.55

.00

.05

.70

. 75

.80

.85

.90

.05

87. 00

.05

.10

.15

.20

.25

,30

.35

.40

.45

' .50

.55

.00

.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. 14492

5. 14517

5. 14542

5. 14567

5. 14592

5. 14617

5. 14642

5. 14667

5. 14692

5. 14717

5. 14741

5. 14766

5. 14791

5. 14816

5. 14841

5. 14866

5. 14891

5. 14915

5. 1.4940

5. 14965

5. 14990

5. 15014

5. 15039

5. 15064

5. 1.5089

5.15113

5.15138

5. 15163

5. 15187

5. 15212

5.15237

5.15261

5. 15286

5. 15310

5. 15335

5. 15359

5.15384

5. 15408

5. 15433

5. 15457

5. 15482

5.15506

5, 15531

5. 15555

5.15580

Diff.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

.Q5

.10

.15

.20

.25

. .30

.35

.40

.45

. .50

.5.5

..60

.65

.70

.75

.80

.35

.90

.95

91.00

.05

.10

.15

.20

.25

.30 :a5

.40

.45

Log. meters.

5. 15604

5. 15628

5.15653

5.15677

5. 15701

5. 15726

5. 15750

5. 15775

5. 15799

5. 15823

5. 1.5847

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. 1.6258

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. 16688

5. 16712

5.16736

5. 16760 .

5. 16783

Diff.log. 

.01 mile.

5

9

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 72P5

5.17209

5. 17232

5. 17256

5. 17279

5.17303

5.17326

5.17349

5. 17373

5.17396

5. 1 7420

5. 17443

5. 17467

5.17490

5.17513

5. 17537

5. 17560

5.17583

5. 17607

5. 17630

5. 17653

5:17676

5.17700

5. 17723

5. 17746

5.17769

5. 17793

5. 17816

5. 1.7839

5. 17862

5. 17885

5. 17908

5. 17932

5. 17955

Diff.log. 

.01 mile.

5
282 GEOGRAPHIC TABLES AND FORMULAS. [BULL.214. 

TABLE 28. For interconversion 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

.25

.30

.35

.40

JS

.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

Diff.log. 

.01 mile.

5 -

Miles.

96.00

.05

.10

.15

.20

.25

.30

.35

.40

.45

'.50

.55

.60

.65

.70

.75

.80

.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. 

.01 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

Diffl. log. 

.01 mile.

4

CONVBNIB3STT 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 = 7.48 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.
GANNETT.] GEOOKRAPHIC TABLES AND FOKMULAS. 283

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 = live-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 tonneau (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 kilogramineters per second.

1 horse power 746 watts.

1 horse power = 1 second-foot water falling 8.8 feet.

1 second-foot falling 1.0 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.

1 mile = 1.60935 kilometers.

1 square yard = 0.836 square meters.

1 acre = 0.4047 hectares.

1 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.

(

15 pounds per square inch. 

1 ton per square foot. 

1 kilo per square centimeter. 

Acceleration of gravity = 32.16 feet per second. 

To change miles to inches, on map:

Scale 1:125000, 1 mile = 0.50688 inches. Log. = i7049052. 

Scale 1:90000, 1. mile = 0.70400 inches. Log. = 0.8475727. 

Scale 1:62500, 1 mile = 1.01376 inches. Log. = (jl.0059352. 

Scale 1:45000, 1 mile = 1.40800 inches. Log. = (jl.1.486027. 

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.
284 GEOGRAPHIC TABLES AND FOEMULAS. [BULL. 214.

CONSTANTS.

Log. 

Basis of natural logarithms................ e = 2. 7182818285 0.4342944819

Modulus of Briggs's logarithms ...........m = 0.4342944819 9.6377843113 10

Radius of the circle in seconds.............r = 206264. 8062 5. 3144251332

Radius of the circle in minutes ............r = 3437. 74677 3. 5362738828

Radius 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. = 10. 0000000000

= 3.1415926536 0.4971498727

ASTRONOMICAL CONSTANTS (HARKNESS).

Sidereal year = 365.256 357 8 mean solar days. 

Sidereal day = 23h 56"' 4. S 100 mean solar time. 

Mean solar day = 24h 3m 56. S546 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 \/l+0.00367 t° C. feet per second.

LINEAR EXPANSIONS OF PRINCIPAL METALS IN MICRONS 

PER METRE (OR MILLIONTHS PER UNIT LENGTH).

Name of metal.

Gold .............................................

Iron, cast. ........................................

Iron, wrought. ....................................

Lead .............................................

Silver ............................................

Tin ..............................................

Expansion 

per 

degree C.

20

19

17

9

15

11

12

28

9

8.7

19

12

11

19

29

Expansion 

per 

degree P.

11.1

10.5

9.4 '

5.0

8.3

6.1

6.7

15.5

5.0

4.8

10.5

6.7

6.1

10.5

16.1
-PUBLICATIONS OF UNITED STATES-GEOLOGICAL SURVEY.

[Bulletin No. 2] 4.]

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 folios 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 Bulletins, Professional Papers, and Water-Supply Papers treat of a variety 

of subjects, 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; O, Underground waters; P, Hydrographic 

progress reports. This bulletin is the thirty-fourth 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. 335 pp. (Out of stock; 

see Bulletin 160.)

6. Elevations in Dominion of Canada, by J. "W. Spencer. 1884. 43 pp.

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 constraction and use of maps, by R. S. Woodward.

1889. f24pp. (Out of stock.)

70.- Report on astronomical work of 1889 and 1890, by R. S. Woodward. 1890. 79 pp. 

72. Altitudes between Lake Superior and Rocky Mountains, by Warren Upham. 1891. 229.pp. 

76. Dictionary of altitudes in United States (second edition), by Henry Gannett. 1891. 393 pp.

(Out of stock; see Bulletin 160.) -

115. Geographic dictionary of Rhode Island, by Henry Gannett. 1894. 31 pp.

116. Geographic dictionary of Massachusetts, by Henry Gannett. 1894. 126 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 primary triangulation, by Henry Gannett. 1894. 412 pp., 17 pis.

123. Dictionary of geographic positions, by Henry Gannett. 1895. 183 pp., 1 map.

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.) 

166. Gazetteer of Utah, by Henry Gannett. 1900. 43 pp.,1 map.

169. Altitudes in Alaska, by Henry Gannett. 1900. 13 pp.

170. Survey of boundary line between Idaho and Montana from international boundary to crest 

of Bitterroot Mountaitis, by R. U. Goode. 1900. 67 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.

174. Survey of northwestei-n 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. 141 pp., 1 pi. 

181. Results of primary triangulation and primary traverse, fiscal year 1900-'01, by H. M.

Wilson, J. H. Renshawe, E. M. Douglas, and R. U. Goode. 1901. 240 pp., 1 map. 

183. Gazetteer of Porto Rico, by Henry Gannett. 1901. 51 pp.
II PUBLICATIONS U. S. GEOLOGICAL SURVEY.

185. Results of spirit leveling, fiscal year 1900-'01, by H. M. AVilson, J. H. Reushawc, E. M.

Douglas, and R. U. Goode. 1901. 319 pp.

187. Geographic dictionary of Alaska, by Marcus Baker. 1.901. 440 pp. 

190. Gazetteer of Texas, by Henry Gannett. 1903. 162 pp., 8 pis. 

192. Gazetteer of Cuba, by Henry Ghinnett. 1902. 113 pp.,8 pis. 

194. Northwest boundary of Texas, by Marcus Baker. 1902. 51 pp., 1 pi.

19(i. Topographic development of the Klamath Mountains, by J. S. Diller. 1902. 09 pp., 13 pis. 

1.9 . The origin of certain place names in the United States, by Henry Gaunet£. l'J02. 280 pp.

(Out of stock.) 

201. Results of primary triangulation and primary traverse, fiscal year J901-'02, by Hv M. Wilson,

J. H. Renshawe, E. M. Douglas, and R. U. Goode. 1902. 164 pp., 1. pi. 

214. Geographic tables and formulas, compiled by S. S. Gannett. 1903. 284 pp.

Correspondence should be addressed to

The DIRECTOR.

UNITED STATES GEOLOGICAL SURVEY,

WASHINGTON, D. C. 

JUNE, 1903.