Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-08-03
YrmE PuzzLnsnl,scoLUnN.

reasoning. That is o good quality, and as he is
ted to him that he has missed the mark little oi
No.1l9 he willbe convinced. In the trials for proc
which he sent perhaps he took the difference In di
ameters too great Come, let us reason together no
Let take four and half inches "a 30 for
Soidity Of sphere will be 47,7l inches, sinks 2s
inches, altitude of segment above the top OF vate
or vessel is 65 inches; soldty of segment is l4.5
Subtract this hi !, from soidity Of spneEEe, an
more than hemisphere H;i iu. in diameter There
I do not give this answer to the problem. bg. Z
show that the answer has not yet been given. \ OF
see brother that deem little further proof neres
s=ry," snd wish you to furnish it you think yoI
tween inches and 4.2 if you please. feel free t
say that have av ry high opinion OF your mathe
so much Of afnaster in this department Of leaning
to contribute to this column. Still L think all
not so absurd on No: 10 as he intimates. assumeSS
only what had a right to assume. andif he will
take the pains to read Henke on DiOphantine ana y
sis (see Henkles Algebra. page 1900 he will find tina
m2 plus M and = 2mn. Several other author
whom have read do the same. But it Is absurd u
say that cannot prove the hypothenuse equal to a.
plus ba or the perdendic usr equal 9ab. Now sir
a=4 and b=l. therefore az Plus b2 =l7=hypothe
muse and 2sb5ssT7peEpepdicuar. the top Of the tre
its slope. One would judge from his letter that h
considers the whole subject of Diophantine analys
absurd. He init ates my answer to No, ll3 is no
right. Will he prove it !?
The probability that event will happen at leas
three times in six trials is not exactly one-half
eording the formula for the calculus of probaol
tiles. Limestone. or his straw man, which he sa
smpson and Billy Root e A1s TgRt t' on GT No. Roo
is right on No 60 see all the easy problems in th'
paper of July 18th have been answered, aud fea
/ found the same answer to No. 124 that Guernsey
gave. Il 3. and worked it the same way.
No. l27 may be solved as follows that is, on con.
dion that the man can see TO the point Of taugencJ
Of the line drawn from his eye tangent to the
the radius OF the earth and the 6ypoenuse equal tc
the radius of the earth plus six feet he hight of the
eye. the difference of the squares of these is equa
to the square of the required distance.
NO. l2e can be solved thus Let x = the time
could have emptied the cask. and y = the time +
could have emptied the cask; then divided by y
plus " the time both could have emptied the cask
then form equations and eliminate, and We find \
;,s sSd Tsis i G very 6oe qSSdTstc fnr but
essary. wilt give the solution more fully. .a ).
b No. l3o-Let x= the hours too fast then Ak plus
IA = whole number Of strokes and 3x Plus a.
number of minutes; then x2 plus Tx 80 and K >
s.. 3x plus u = %. Hence it is hours and 2:
" In No. 13I first found the radius-it is 1s feet
And then found the required parts; it was diff
cult for me. Parts 4s and 81. .Ii h17fz
No. 133-Answer $3.50 03.
No. 1s4-ADswer. l,saO hours. This is the leas
common multiple. a. s-5f.s-.+ .- sr-
No. is5-Jenne is and Flora 1s years old.
No s 1856 and 1877 will be worked BY the farmer
No. 1ss-Let of S X'siot; then SO plus 6,
TX ues (S minus 81, whence X 80 plus int the
square root of 3 SAMMY.
WASHINGTON. GUERNSEY CoUsTY. y. 4
July 80. 1857
Mr.. EDIToR:-The last. in my opinion is the fne,
regard as satisfactory answers to ali excepting No
l52 by the good lnnis and No. l54 by the profound
Sammy: These both read well. and when drawn
look we'll. But how to determine from the cond
items the point in the cour Of the eipse of the
latter so that the figure formed by ord nate and
said area. is bevond my mathematical depth, and /
frankly TO both say. liant" Yet, wish all to know
that these problems, have been Of far more ady.n
tap Such No the ansN nf hich
1 could get" in a moment; although am not as
yet well enough versed in the principles of ana
locks. But hope soon to be. SO young chap
as ought ,lsI, soon to master comic sections q
with his new hat 90, in this my new study.
:, But the dignifed Delta will not let me stick. "
SO here's at it. boys Let us dive for jewels in the
sea of Fluxions. fearlesslyi We may godOwn poor,
but. lks the pea,l-diver on the Isle of Ceylon. we
may come up rich
No: 144ZOtiose lost BY Jumping" of his cargo of
corn 1923 H.. That is. if the ship was a bin, the
corn in the ear and two bushels Of this for 60 cents
sheeled then he gained. fHoc data sunt to5scurd
No ISL have given sse to Board of Edgcation;
Publication, $50 to Board of Home Missions.
No.. A7-First horse cost $780, second $500. A
fine example in mental analysis.
No. 14s-Delta's ditch measures we'll by plain
qua1raticsZ9 # in wide.
No. 149-Oh! 5. X, what 'whopper."
My answer surprises me, iRasmuch as have heard
it again and again asserted, even from the pulpit
that had all the dead been buried side by side, the
dry land of earth would not have served for graves
allowing twenty-four square feet to each corpse
This is great mistake. if my solution of this prob
lem be correct. And Dow Mr.. Editor if it is foun;l
virtually the with that of otDer contributors
to this column, | wish special attention drawn to
this fact in the most conspicuous place of the
STATESMAN, that we clergymen may no longer state
the f4llacy that our globe isa Golgotha if it is an
Aceldema NJ. no. State or two, like New York,
since the death of Able. For the onefourth of the
earths surface equals 1862 1886 square miles and
billion die in each generation 1so billions have died
since the creations; and all this vast army
could be inferred in surface of l54.-
to be by feet. Thus there would be left 5s $780,
s04 ss9 900 graves unoccupied As far, then, the
be said of our bodies in regard to earth, well as
Of our souls in reference to heaven. One square
mile cemetery sufficient for l6l 500 graves Of the
1876 900 900 square miles of the earth's surface in
which there is not yet grace. But will death FIJI
terriblet to me Look ah. forget myself-this is
not the place for sermon on mortality, So pass to
No. l5O-lf ever increases to want to push
on to ~. What say you, Innis ?
No. Isl 63 minus fraction.
No. 152-Non possum
No. 1888. 60l6. Solved by position"
No. ISL O'Clock and 50k minutes-a very queer,
GUERNSEY.
July 90. 1867,
Mr.. EDIToR-Sir: Your puzzle column is doing
more to interest my Radical schoolmates than ali
the stories. poetry and romances (of-which they
very fond), and of which you generally have good
supply. could have ever done. | am well pleased t.
many contributors to this interesting column.
answer the problem now MIR. Editor. am NO
scholar but occasionally there is problem which
can a3;sTSss and do not deem it wrong to do So
Answer to 135-Jennie's age IA years Flora's 16
years. Was this Jennie. the young lady Robin
squeezed so hard, poor girl!
Answer to 137-$ls-pretty good wages.
MoLLIE.
WASHINGTON. GUERNSEY Co., July 80.
Mr.. EDITOR I'm my last contribution to the
"CoLUMf," ind some errors in my answer to Prob.
14o made either by myself or some other man. First
answer, as intended. was s2.5 by 49.5. Second an
swer-s3.3X by 6O.3X ~
-1ri ANSWERS.
Problem 1874 29- 49 times
Problem l44-J that vessel is to be measured like
q floating corn-crib-ifthe corn was shelled and il
it me ms the hold was feet deep, then otiOse had
Problem I4s-s637
Next two problems are mine.
l54a5s ss-square miles Room for Sc .ssO. .sO4 $685.
O35 more. y
Problem 15O-71z. Oh George.
Problem l5l-Nearly 63 rods
Problem 152-Bedr doto,s on the limb. My pole
Problem 1872 ,6016 correct to places No "Hor
neT" about the w9rk-don't know him.
Sammy that the entire major axis is side of th
triangle? can't make such figure
No. ISL hour, so minutes. 3l.1 seconds P. NJ.
no ~ are intended to be of more easy solution thai
most of those proposed by the boys up near th,
head. Idon't think every one should be virtual.
shut out from the column. unless he be lineal de
scendant of old Mdthe1o Mattics himself. Besides
want to set a good example to my brethren, not u
tack their problems. like the edicts OF Caligula,
high Wp as to be illegible to the naked eye 1t re
quires good deal of time: for at least, to sett
the question of car or can't. about list of a doze
such problems as 49, 152. &C.. &c. But they al
fine and worth the effort--only MIR. Ed, please Sc
the hopper; SO that such" won't come too many a
once. aTt DELTA.
COLUMBUS, o.. July 81, 1867
Mr.. EDITOR: Your Puzzler's Column of las
week is certainly most excellent l have cut ou
all of this Column from the first to the last an,
pasted it in blank book for future reference. 1t
very handy in this shape. too No part of it is get
ting lost or mislaid. l now have little book tha
is hard to beat for its size, mathematics trie,
i 70 una e ifs ohey raiae' ou1 soon concluded