Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-06-06

inc excessive heat of the past week seems 4
nave operated on the class as 1t has on ourself
made them lazy. The result is that but few com
up for recitation. Bro. Otiose has answered No
ioo In mastery and scientific manner, and on
only regret is that we unable to give his
Tor want of mathematical and algebraical types
de must be content with plscing him at the tol
OF the class after hawks patted him ON The head
and cautioned him against wiping his nose on hi
jacket sleeve. Well done, good and faithful Otiose
NAroaKz. OaIo. June 3. 1885,
Mr.. EDITOR: This is one of the hardest lesson,
that we have had this year: and as it is also
what tedious. will proceed at once to
H., ANSWERS.
No. s6-The distance is ls miles-that is by taking
.ns ulsne.er OF !ne earthto be 1855 miles, and moi
Nos. "a and ss-Mins, 4ia h-i'si9 10s
gle being opposite the side ABB. the angle oppo-
ste the side AC and the angle opposite the side
~. upen Z AB draw an eauilateral triangle having
upon the sides BE and AC having the centers
| is DEF an equilateral triangle
| Here come the figures we are unable to print1
We now observe that the second members of cs,
and 0) are equal therefore DEZEF: And in like
%;s1nsr, h We & gan prove De Thereftre the
No Iod-M 7,ss $50 3l-l2s sslsl, e55-a7o4. 6si-
side ABB being equal TO the side Be. and Alb being
the diameter Of the circle which cuts the base AC
ADBis right angle. because it is in semicircie
therefore BID is perpendicular to AC the base but
ps 70 s angle Of
and: aSc9rdins to cor. p th 49, b. l. Robinson. BIZ
scots the base. OTIosE.
WASHINGTON, o.. June l, 1885,
that of Saturday lastl There's life in the old class
II Bro. Otiose has any objections to urge against
mC v fhaor of al IL
would be glad to hear from him. My own state.
Went Of the case would. for the most part be like
has Bro Archie nothing to say in defense of Prob
lem 81? It has been pronounced absurd" two or
mstical wrath. and show how the thing is done.
No; s5 is problem from Gresnleaf's Algebra
given by several of the members correspond nearly
with my own Greenieaf's answer is very different,
the Summation Of Series. BY this method, Miss
L,szie E. you would not be troubled with $50 many
In Problem 81. Bro Guernsey calls for the "exscs
ratio OF the diameter to the crcumference-an i'm
possibility, as the decimal has been carried out
stop worth cent. series Of convereins fractions
gives US Ils-a55 as the approximate ratio.
tried some OF the problems, and obtained the
No No g g II mi! miles. 9 fur. q plus rods,
on May 23d. about O'Clock P. NJ.
No. es--47 plus pounds. ~ d r-7 sss-
J. No: 90. tBy SammyJ To draw tangent common
from Anslytical Geometry. As a foundation, I first
prove this thsorem by similarity of trianges. i. e.
parts proportional to the radIi Of the circles. Then
Connect the centers. Now to find upon the line no
'be point where the tangent will cut. Draw a se-
lrc. and On laid off equal to radius Of ciroe o.
Draw NO. and from u draw parallel to NO, cut
is DIVIDED into parts proportona to the rad
y the gwen cirelee, and q tangent to one circle
taFHpsh 5s as de- Bfd BBSns is tangent the
;, l don't yet see daylight through your next three
No. ioI-X, 7-ee. s-s3, 81 1913, &C., &c., DC. -
Bro: Simpson having named q number of unsolved
questions in the list. have tried Of them since
Srit.ng tne iorepart OF my letter. 1t Is theorem.
10 = prove % the difference of the angles at the base
'srpendicular TO base. and another bisecting the
In the scsiene triangle ABC drop perpendicular
Ingle ABE equal CB Z by construction. If one be
1STs.sed 9Ss and the other diminshed by DIE. fhen
.B1 move upon BD. The point 4 will fall upon upon
he bp line Ii PC s. at A. and angle Abe is equal to
sus to angle Plus BG Thersfrs' e' the ana ans
,inus angie G is equal to twice DBE Z. O.. the ar-
!uod demo ,stranduns. S''''s -'A'
It's to be hoped that contributors will not bring
hs ssa ns S not
18th wrong answers. The column is not hospital
Dr. painting problems Shall We not have review
pom? sT ~ y - - |
My only question isis Venus approa,hing, or
as she reached her aphelion? Answer from obser-
atoms on her nightly position with reference to
astor Pollux. DELTA.
PROBLEM NO. 10S.
If piece of silk velvet cost So 90 per yard, at
hat price shall it be marked that the merchant
lav sell it at 10 per cent. less than the marked
rice and still make 20 per cent profit?
LIZZIE E.
-. PROBLEM NO. 100.
tower. 90 feet hish. stands on q horizontal
lane. On this plane, and at q distance of 200 feet
ON the tower. stands large oak tree 14l feet in
ght. Now. suppose the tree leans towards the l.
'wer at an angle of 45 degrees, how long must a
pe be to reach from the treetop to the top of the
,wer? --iyrs'7 = :. - -
Brother Delta. the above problem is the substance
the question you asked me. make 10057 plus
et. and lwish you. if you please, to tell wheth-
am right or not. The rest of the brothers may
aswer If they choose SO to do. Jl-l.
s A. 3. SIMPSON.
PROBLEM NO. ITO.
Find the least common multiple of x, u and
10. so A. s. SIMpsuN
PROBLEM NO. Ill.
has teams engaged in transportation. His
orse team can perform the trip in days, the mule
,am in davs, and the OK team in IL days. Pro-
ded they start together. and each team rests day
tier each trip, how many days will elapse before
ley all rest the same day?
5e q .OTIosE.