Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-05-16
PUzzLER's COLUMN.

he will accept our apologies, and believe that it
| entirely an unintentional omission.
SHADEvILLE. Ohio, April 20, 1865
MASTER SPIvINs:-My recitation is poor again
this week. Problems are too hard. think if posi-
Bile we ought to have more problems in each number
| ii we do not get them quite so hard.
ANSWERS.
| No. 76-37 sos2 feet.
No. 77-Doa't know anything about barometers.
No. 7s-Don't measure distances that way.
No. so-l,6s4 .234 42-4s7 miles. WILLARD.
Te Puzzler's Column for april 80 came out all
theory and the return Of. a "prodigai son" Ha!
| ha HI just to think that our worthy brother
E W. sc seeS;, should return with h, an alas pa
say that it is hardly possible to six Sundays in
No. 7s-If the diameter of the earth is eractly
1854 miles (what is the true diameter? answer
cIsss), the mans head goes miles the farthest.
mosphere is < miles high AZ d weighs tons while
the barometer indicates 20 inches, and think that
the barometer will indicate the same, be the air
dense or rare, except when damp.
NATcHEz. O.. May l3, 1858
Mr.. EDIToR:-I send no answers this week. but
| write merely to tell you that have changed my
mind in regard to the wheel question. have paid
some after ton to this subject the last week. and
have arrived at the conclusion that Spyns is right.
Philosophers undoubtedly rack spivins' theory.
Some of the gentlemen at first tried to make US
by revolving one paper box about another. don't
believe that kind of reasoning could have con-
does not touch the stationary box twice-tbat is if
you place mark on the revolving box, that mark
ton. Lizzie gave correct solution to No. so. will
ask the class if they think that the moon has as
much influence in causing tides as is usually at
tributed to it. OTIosE.
WASHINGTON, O., May IL.
Mr.. EDIroR:-Problem No. 81 seems to me to be
impossible. At any rate when the sides of right
ang ed triar gle are given. we don't expect to
IN No. 8 demons rated in this way: Draw tri-
angle HBT Va wths Vertical Raw &c biseeting
ns a
angle Call said point 9. and nd from B draw BO pro-
9SSgilg it to 9Io On the line Va Now to that
meeting VII prolonged to d. The triangles Bid
and OHC are plainly equal Hence OC =. ID, and
being parallel by construction. the figure BDCO is
EG;GB::Vo:oD. But vC'equals GB. hence vo
ES:yb::vN:NC; that is. vN equals NC. and line
VIC is bisected;
vO: that is the line i is divided in ratio of to
Tne same proof would apply to the other lines
\ No. IS ssoMy answer is s7a4 ~ plus.
No. s4-First farm 562h acres; second farm l562K
The statement Of this ploblem is ito enclose both
with fence;" though the farms were so situated
that there was no fence on that part of each which
that is the meaning I'm wrong as worked it as if
written-'to enclose each with fence"
No. s5-A perpendicular from vertical angle to
base divides any triangle into two right ang trian-
gts. The square of this perpendicular is respect
o @ %hsss sen aps
equal to each other. Transpose the minus terms
and you have the proof DELTA.
WASHINGTON. o., May I3, 1868.
DEAR SP1vINs The solutions of our last lesson
2 eas ng because they set before the mind some of
the pu;est jewels of mathematical propoi ton
A Iapsas peane appeared in my answer to No. 70.
n last lesson. regard to the distance assunder of
s eestepd s5a absurd tested bv
mathematics. IN. w Is" mode of dividing 10 into
two parts whose product equals 80. i more ingeni-
ence in it.. still insist Master. that Willard be
"wolloped." Even the astute and dignifed Delta,
goes on in pursuit of Imaginary results, and soon
finds plenty of t. EN-. after radicalizing for time
amid labyrinth Of rad Gals. Come, brother D..
leave these radicals for they all ba NIX negations
"a huge bank of chaf, without one grain of wheat.
sngled triangles, when one side is given is ad rem
Another bright star IN the heavens o. trgonometry
Happy am tofnd ". \. agreeing with my opinion
inches? Would like to hear you IN srteaso on this
THESE President acquittal times are attended
with too much mental elation to the truly patriotic
thought Amid the general enthusiasm that PEI
W..
whether right or wrong the following
ANSWERS.
No sl-Now. Master, | appeal to you if this is
not smother absurdity. The sides of no right an
square Of plus unity can in no case Of this kind
equal fourth power, Come Archie call home this
deformed monstsr-'Aomst''uns Aorrendunll"
No. s2-Ego nunc transeo.
No. s3-s7s4 so. A fine practical example, intro
ducing al. ebra into banking. Suppose, brother
Washington, we go on and by algebra find out. if
We can, the ''unbaouR amount of mones peo-
pie are annually losing by our present national sys-
TEN Of banking?
300 reds square. Large one, 1s562H acres with 500
rods for its sides.
gle into two right angled trangles whose hyp 9TH
enuses the sides adjacent to the vertical ANGLE
and whose bases the segments of the side divided
by the oot OF the perpendicular. Now. the square
OF eash of these hypothenuse less square Of its
base. EQUALS the square Of the perpendicular
pie traasposition in this :. equation the
terms will SO stand q! to indicate the result
adaen hs verea angle
ence of the squares of segments. brother Otiose
deserves well OF the class tor pre- posing two fine
idiy0 GUERNSEY.
PROBLEM NO. 81.
Suppose the diameter of circle to be unity, then
its true circumference is small decimal less than
vergng fractions will the exact ratio of the
circumference and diameter ovid. Ray. I'd in
locO). GUERNSEY.
PROBLEM NO. 80.
A certain sum. placed out at interest. amounted
at the end of year to q. .l00 and at the end of
.ighteen months to 81. 100. what was the sum and
what was the rate of interest. JACK
PROBLEM NO. 90.
Two persons, A. and start from different points
at the same time 10 travel in the direction and
a. the expir .ton of cert ain time A. overtakes B.
NOW one-haf the distance between the starting |
points Is equal to the number of hours each travels
no tne rate OF A. per hour multiplied by that of
D.. Is equal to the distance between the starti1 |
ponts; 9ne-thlrd of the square of rs rate euuaIs
the NUMBER OF hours each travels. and three times