Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-11-23

when substiu in other equations get the sdes
| that the conditions impossible? It seems to-
l'll look it over again and then wait for light.
| d.
WASHINGTON. ONO, Nov. 10, 's7
| Mr.. EDITOR: make my best bow to friend Jack
and Jew hillikens and extend to both my right hand
and say welcome brothers come and win laurels
| to see the beauties of the column. and may they
show us their faces once in awhile, and not be like
comets which we see for few times and then vanish
from our view; but like the sun to return each and
| every day, always in time and never too late may
like to correspondents from the northeast
ern part of Belmont county there are several in
along Mr.. N. TIL; and Mr., Fi-y aud Others
a,ong the plank road. see Brothers Delta and
and say amen boys, go on, you will be poets if you
do not die too
Sammy, peass give US your method of solving No.
27O. as can make close guess but can give rule
or nythng of the kind. and think the majority of
the ca.s would be glad to learn the method; will
tho many in the paper for one t'me Eight is
enough at once and think all will say the same.
ANSWERS.
No. e75- 4s 81 plus and 1860 rails
No. 276-344 plus inches.
No. s77-Madeira So 60; Port 81 30. and Sherry
No. 27s -42s757 feet, and as Mr.. A. S. Simpson
asks for the solution. will give it to him prom.
led First. as the vine goes ls times around. and
will go in one round next the circumference is
i4l59 feet. This forms the base Of triangle and
ase the ad
IL as i Pssss Il
gives the whole ensth Ct the vine Which is 4a S51
solution and desire another, viii send to your ad-
dress diagram and full solution, you give your
Aqsdess Noe s7sHfs .FHssn and 81 81 BBaRsr BaREls
No. sso-ya7o oyas plus In. X=s9.7 plus.
No. 2Sl-6l 81 plus feet.
No 2s2 800 h htpothenuse. 240 and 1sO degrees
No, 263-SIO2j j225.
Pr ben 2a4. ist Theorem-This is abs urd. from
the fact that IN right anged triangle drawn around
the CIRCLE of eight feet, you de cribe square in
it Of over six fest in the first triangle or on the hy
Prob em 2si, I'd Par'-The sides are IL .ssls plus.
ls eoss3 us and l6:sol74 plus feet: Radius Of in.
7s deg So min 50 sec. and A reg 2 min. A
This is the nice problem we have had fer a long
me how you construct the diagram so that you may
have correct figure?
Problem 2s6-l3 1887 lbs.
congratulate all VINO come into this column, and
hope that after this that all who send problems will
not run over e .ght in each week to all. s. x.
PROBLEM NO. 299.
Two men employed to do a piece of work.
w1ich they can finish in u days. In how many da,s
could each do the work alone. pr r5vided it would
take one III days longer than the other?
PROBLEM NO. 300.
A. sold S. 700 of U s. 2Os of 1884 at 1Oi per cent.
avins for nece ssary revenue stamps. and invested
The pr ceeds in y. ). lo4os "a per CENT. broker
age u per cent. both for selling and buying. Did
nually? DELTA.
PROBLEM NO. 301.
(For Sammy
Find the sides of a right angled triangle with
these conditions: The side of the inscribed square,
sanding the hypothenuse. is to the diameter of
the inscri bed circle to 6; and the perpendicular
feet. E. B.
PROBLEM NO. 3O2.
(For Otiose.)
Two angles of a triangle. whose included side is
240 feet TO each other to g. ths side opposite
the larger of these angles 200 feet Find the
angles. E.B,
PROBLEM NO. 303.
has 10 acres of pasture, 8 acres and C 8
acres, into which they agree to put an equal num-
Der OF cattle to Craze. and sgress to pay A and
ustmentG N' '''N'D 'A'n as 4. s. S SIMPSON. Pse Sa
PROBLEM NO. 304.
A man having cubical bin found that by enlarg-
ing each side inch it world hpld 2S 205-23l gall
Ions s,5s more than beOre What was the measure of
PROBLEM NO. 305.
A tower go feet high stands on a mound 80 feet
above horizontal AIN. On this plain. and direct
ly soath of the towsri spring, and directly
it: on the same plain. stands large oak tr Now,
allowing that the distance in rect ins from the
top of the wer to the spring is $50 feet at the
oak? =
A. S. SIMPSON.
PROBLEM NO. 306.
II the equatorial diameter of the earth is 1925
miles, 4 the poa- diam eter is 1888 miles, how
many square miles of surface is there, and what is
the ellipticty of the terrestrial spheroid
PROBLEM NO. 307.
What is the length of the pe-ip cry of an ellipse
when the transyerss axis is p feet and the conu-
gate axis is Il feet? 0TIoSE.
PROBLEM NO. 30S.
Find three numbers such that the square of the
twice their product equals 60: and three times the
square of the third. plus the square of the first add
square of the second plus three times the So aare Of
toe third aided to twice their product equal 100
Sammy s0lve and expi2In s1Hf
PROBLEM NO. 300.
Delta sets out from Washington to Columbus. and
Robin at the same time from Columbu; to Wash
iagton both tn t travelling qafGrmly. Delta cit reaches
SO hours after the. have met on the road. In what
| time did each perform the journey?
PROBLEM NO. 80.
Thirteen men buy strip of land 100 rods long
and l6 rods wide. for which they paid $745 SIX in
equal shares the land gets poorer from east to vest
they agree that the first will he valu ed at
and each succeeding acre somewhat less in even
geometrica progression. Whx5 increasing ratio
did they apply value the land so that the VIII le
money be consumed. and how much is each of the
men to receive. and what is each acre worth.
SIX.
| PROBLEM NO. 311.
have piece of land 200 yards in diameter. 1t
is required to divide it seven smaller circles, occu-
pying much of the land possible, each smaller
circle t, bs of the size. WHAT is the damater
| of one the small er circles? JACK"
| THEOREM NO. 2l2.
Prove the circle described on the hypothenuse as
diameter, equal to the sum of the circles having
| the sides as dameters
MIR. Simpson, this can be demonstrated from
principles in Rays Third Arithmetic. DELTA.