Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-07-13
rHE PuzzLEw,s ooLUaN.,

- Sd ~
We commence again on our problems this week.
We present some good ones below. but have still a
few more hne ones left in our dra yer.
Correspondents ont of the city should always send
the answers with their problems that We m.y pub
lish them when we fail to obtain correct answer.
Our correspondents here we can call on at any time
We sent the paper to Springfield. Delta, as you
requested, and last weeks to Fredsricktown 7iol
II. FRBDERIcKrowN. o.. July Q. 1857
MIR. EDITORS. To-day came Across WBEKLY
SriTEsMAN. contairing last Saturdays Puzz er.
and see that the class Is reviewing. 1t would have
been great pleasure to me TO have been in my
SO as to recite to-day. but now 9mustg foot. |
isrs desk al Columbus. but none Of them ' brought
Some Of the contributors are very anxious that the
word can't should be pronounced over some of the
kind. but viii saw that prpbie%s. such as ~ Is,
lis and some others. belong tn bran.h of the vast
subject cf mathematics. which have never entered
upon. T6ey are hne. truly, but the problems in
Art .petic and Analytical Geometry suit my taste
In regard to No. ~, 1 did find way to get square
numbers such that if their minus roots he btract
ca. tne remainders will be ssqqares. One such num-
Cd to se an S any o
plumbers. Let him who can show us how raise his
Come now. boys. be good nstured. Robin seems
. little sour-one would think that had been set
ting 11 some lofty claims. He will not 6o,g %
~
sar whether he set up any claims to have 6osc
srs or whether RI he does not simply play out his
4s. -.,,-s. Mathematicaliy Yours. >....-,f
4 ii WASHINGTON, OHIO, July 10. 1867.
Mr.. EDIToR: have labored for the past two
weeks under considerab Q disadvantages. First.
have been under the maliRa influence of sore eyes.
H. T have not recei ed my VI last p%esSs
crosby Of Broteer Guernsey" I was favored with
. W Unn Gandrr ina fhA anna
time that the clubs s and will then get it on Sat-
urdey instead of Monday evening. During lisinter
the problems. will now give SAMMY" few words.
de requests me to examine No. lis and see if a
not expel more water than the inch sphere. Mr.
Sammy, nave examine your conical cup. and am
cup was cylinder or as" spherical one II then my am
sTsr sy would be correct am glad to know that ne
into what now say viii nSS ssRe SSS
inches in diameter and the soidity Of that sphere
Is Is 15 cubic inches snd since half of i enters
water overflow. Take sphere incnes in. diame-
ter and Pacei it in the same conical cup and it will
culeton you vi fud thatit will dispiace eni 2e 272
cubic inches Again. take phere inches in diam
u. 1874 oubic inches of water to run over. From
this you viii see that as We increase the di
is inches in diameter the more water is expelled
IRON the oup., could prove that if we took q
sP9sre wn9Ss diameter was greater than the mouth
but Sammy" has said that it was of les diameter
hence tits unnecessary for me to do it.. Should You
think further proof can. think furnish
Twill now pass to No. ls and will s " have ex
amined this one with some little attention, and
must say that with due respect to all his fine math
ematcal proclivites, he eurely must have been at
;S%e little sToubs find ont plausible plan solve
diophantine propositions on No. ll3. and the swer
you will then find not to be the same with the one
y.Ju have. Why did you not say that you took the
one side to be II and the other at oncef The man
ner which you worked this does not do one single
no license given you the data to assume anything
only what can be proved to be true. and he cam,
the perpendicular is equal to lab. Now. from the
data given. this problem is absurd as fa- as solu
the sIope of tbe hill or the an9Ie At the broken
point: Who agrees with me in thisf have not
tim to say more. 3. x
WASHINGTON GUERNSEY County, Ohio July 8.
MR. EDITOR: THE STATEsaAN came yesterday.
and have read it all with inter est, especially our
column. The remarks of friends Sammy and Innis
that my effort at repartee on Robin appears at quite
disadvantage per contra. But let all pass. Moth
ing but alittle mrth was meant: and you know:
yi i4. "A little of this row and then
Comes not amss to the best OF men,
And you truthfully say are all 'laboring for mu-
tual improvement, and not TO display know edge al
have in the same length Of time received more in
struction and tasted m"re rich intellectual enjoy
usthematicsl column. lid think i enjoyed ,ai
reading telegraph. but that has not the logic
the nexplicabe mysteries of this little clicker have
claimed much of my attention in the leisure hours
OF professional life and it is highly to hear
the boys king from city to city all over the land
and your Columbus boys among the restl But it
soon becomes monotinous through sameness; for the
quite slim. But q. what % : divinity % there is A in
mathematical How correct its principlesl How i'm
mu,abie its laws! The deeper we dig. the richer the
Reading Sammy to- day on No. u. 1 invulu atarily
O. boS aGns d BOY r bar
ct it and had not got even in sight of the elephant"
for truly elephant it is Why, itneary crack
through the tortuous windings Of this labyrinth Of
figures. or over the towering heights of his Alpine
only I'm neen bu have S%
hat. that is. if dear Robin had made no objections.
h ss Of
BY ArteIus Martin one S of the most profoundly
about. This work contains also q solution of our
Telegraph Pole Problem, only the pele there is a
: see my mistake in No. lis. 1 thought / had
found by Geometry the average length OF the given
lines to be 40 feet Hence my answer. Notice said
Highly pleased with sammy,s Analysis of No. l6;
i answer No. liz thus: The ship would qoGnt
prEyIsoa for month and ssH days. This is
has solved my obelisk Problem No. so. Ny answer
to No: ss ia the same as Sammy's. found the
point required to be the point on tue meridian
where the diagonals drawn from it to the points
given East of the meridian, make equal angles with
Il, TC"k the pon PEI c%
FD=15O-X. Drew FA and FB. Two similar tri-
oDsss gs9ss sss sdss
taken on the other side of C. Now. boys. for
some easy ones in algebra. And the ladies-whers
Gu sRNsEY.
HoPEDALE. ONO. july 5tb. 1861,
Mr. EDITo R-Str: am mott No. mathemati
one horse concern However take interest in the
Puzzler's Column. and manage to solve sbou one
per, and some numbers do not manage so many as
one-half. Some of those that leave unsolved ap
sround, and as bard as hard "a Limestone, n and moi
much more in them tb an there is in ildare; and
therefore. do not MiGister much good lnnis or IN
see that you have published some Problems that
gent you; Tho'e that we 9 answered were answer
lister the correct answer to Problem No. 1o2. Mr..
Delta answered it correctly.
Lately have not had much time to devote TO the
Puzzlcr's Column. As it is raining oday and a n
at leisure, will send you two answers to two Prob
Rnswsf to ssm% psobsbsg sfi
Answer to Problem 2s-sammy's age 20 years.,
Pr blem q and its solution is in Greenleafs Ma
tional Arithmetic pages $50 and S5l and the answer
there given is .s35 in from the middle of the axle
towards the inner rail. think it is only 632 thou
Answer to Problem lo6-A must return on the 18th
Frobisn los coz cows S at SO each. $50; hog at 50
g. o. sheep so cents each S47-iOO animals wortt
500.
Answer to Problem No. Ill., hours. 81 minutes
IS 81 seconds.
No. 112-l3 S-37 mo. A. s. SIMPsoN.
NATCHEz, ONO, July 9th.
EDITOR STATESMAN AS there have been N
new problems for the last two weeks. and hav,
thoughtlessy destroyed my old papers, cannot sent
any answers this week. see that no one ha
tackled my prob en-, No. los. One brother says it,
not plain enough, he did not understandis woult
be pleased If our friend would show me the din1cu
ty-the part he does not understand. and will en-
tighten him. think any boy ten ye rs old shoulC
| understand my statement. However, think Guern