Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-10-26
THE PUzzLEx,s COLUMN.

Problems to remain two weeks before giving an
swers is generally conceded to be good one. L
this arrangement suits the Glass; it meets our 'dis
tinguished APPRECIATION"
The idca of Puzzer's Convention and oyste
supper is a good one, and we are pleased to notic
that it is generally concurred in. What joll,
party it would be. Think of it. There would b.
Brother Guernsey at the head of the table, will
thu" Round Daughter" on the one hand and th
Square Daushter' on the other. Fancy him
Brother Limestone with his "Straw Man" It hi
back. and Delta. and Robin and Otiose. and s. Y.
and Billy Root, and G. s. Innis, and John Soubri
quet, and A. 5. Simpson and the rest, demonstrate
ing the fact that oysters properly applied will pre-
vent starvation, while we. with spectacles on nose
our bald head glistening with excitement ant
pleasure, the birch carefully hid behind our back
beam like old Mathew Maticks himself upon tn,
happy assemblage. Oh. wouldn't it be jolly!
Mr.. EDITOR: Our calesreous brother from Dub.
lin has been looking little at rrobem No. 20a }
and is quite. certain" that Guernsey's answer
l2sf7 feet. is incorrect. As Guernsey is absent
anime your reasoning. Your first error is one OF
fact-that l2S47 subtracted from 5000 leaves 3l73
l2sl7 feet is the distance travelled ~ the sound OF
:. sonorous wave.' a. Guernsey had it. That might
look like mere inadyertenee. but you go to di-
is less than seconds Now my dear sir, the 3I7I
feet is the dist passed over by the ball in its
ueSCtub DelOTo uoctiuS sOuuu OI bn6 gun below.
The next error is one of principal. When body
begins to descend, under the combined influence Of
the square of the number of seconds by the distance
passed over the first second" We multiply the
square of time in seconds, by l6 lila and thus OBJ
tain the distance gone from gravity alone. Then
whatever it has passed over in the first second ex
ceeding le liz feet. is uniform velocity, to be
square-and added to the other product! The prob
lem gives this equat on. showing the two distances
look plus 1l47x = l6O2o Hence the value of or the
number of seconds is II Is plus, multiplied by 1I42
= i2si7. nearly. As this was problem of my own
here submit nv reasoning to the criticism of the
brothers. and Brother Limestone: if your proof "
at the Puzzler's Convention. -
@ think your answer to 242. brother SAMMY won't
makes 1s not 4s Sakns It [GS' 49, it ef
haps the mistake occurred here. 800. -.
Sammy asks who is wrong on No. 23l? As no two
answers agree there must be more than one wrong.
! think I'm one of 'em. but my paper containing
that problem is lost so can't review it. With the
new and diminished VI % work. The Puaaiers' Proby ofy
lens"
junction of the moon and Saturn will occur |" %
inches" opine it was on manuscript, % instant.
A. While settling up some old accounts. I must add
that tried it and acknowledged the maizo." i
don't think it soluble without new condition.
another good brother solves it by analysis and alge
bra. and assumes the condition, L. e.. that A and B
member the melancholy fate of that straw man and
Mr.. Editor. the boys seem to approve of my sug-
gestion to not publish answers till two weeks from
the publication of the problem. Please announce
it from your rostrum as law of the school.
WASHINGTON, D., Oct. 81. 1867. DELTA.
NATcHEz. O., Oct. %.
Ed. STATESMAN: With q shamefacedness l sit
down this evening to drop you few lines to let you
know thrt Otose stu survives and rea:s the Puz,
hopes soon to take as active part in giving. sOlv
ing and discussing problems. ETC.. ever. Mr.. Edi-
long; call Delta and s. Y. to witness. Although
have been absent so long, l still watch my prob
lens; and. if they have been solved in few pa
that missed me. trere several that have
ceived no answers. Now, let US have review
shortly and see we cannot Zach pp Am
who don't know" an u der obligations to Delta
for showing me tho admirable letters of Sammy
tion BY +. b. favor convention and oyster sup
per by the contributors of this column sometime
this winter. Herewith Isend a few problems.
CoLLINsvILLE, o., Oct. 49, 1867.
Mr.. EDITOR: Twill send you my so ution for No.
III: Draw three equal relies externally tangent to
e tbs ana
call the radius of circle circumscribing it r. Let
equal radii of the equal circles. Radius Of the cir
Gle circumscrbing these is feet X will be side
Of equilsteral triangle. Then we have the propor-
ton is tor as the square root of is to l.. See
Davies Leg. Bk v. Proposition v, Problem Cor. 2.
Hence X equal radius or r into .quare root of 3.
But r equal minus x, hence equal into
Transposing and factoring, we find equal into
square root of 3 divided by plus square root of g.
have another different solution, but this is the
most easily given, and think it will be plain to
Otiose, please give us some light on No. l57. You
say it is easy. have tried it again. and think the
conditions cannot all be filled by positive whole
numbers l Wait tSimpatienty) to be convinced.
standard which is Is-si per cent of 80. n'' s''u
No. 246--A circular field can't be fenced with a
triangular fence, but a field containing the same
amount of land can, and the number Of rails will
vary according to the form of the triangle. l be-
ieve that the equlateral triangle will contain the
greatest area with given perimeter. If this be
the it sill take 31 rails omitting small frac-
tions Method Of solution; having the area, let
will be into the square root Of 8, and the area will
be x2 into the square root of equals 159265 from
which find the approximate value Of <. then eX
give the number of rails.
No. 246--Let Delta answer.
No. 247-1s inconsistent for if both gained only
ELS. could not get EGG. .
No, s4s1Area or contents is 80 .4ss35 cubic feet
E. B-Your solution for 152 is clear to me: for
which l am much obliged.
SAMMY"
|'s DUBLIN. O.. Oct. o, 1867
Mr.. EDIToR:--Our column is again on the increase,
and hope it will soon assume its former fair proper
lea along withit. am afraid your CORRESPONDENTS
who don't depend upon speculation. could not sup
port themselves in gift enterprise If the idea finds
favor. advise some of our lady correspondents to
try and win the favor of our new brother and then
18th and profit by the sams az
hope we n ay have the pleasure of social meet
ing during the winter, when shall no oI ger know
face, and t. Ike each by the hand feel that
another golden link is added to the chain of friend
though it be exposed to ali the storms and fro.ts of
life. return the following as
ANSWERS.
No. 250.-s2. .s32s rods Somewhat out of my usual
lesson but think it is the distance passed
over by vt the sog.
No. 25e.-ls $685. inches long.
Yours truly, LIMESTONE.
PROBLEM NO. 261. ns,
! want the simplest. land shortest solution to this
A gr und 100 pounds of wheat: the miller taking
Sne-eighIh for grinding allows him 40 pounds Of
flour per bushe for the balance; sells the flour at Il
cts per pound and takes coffee at rs cts. per pound.
How many pounds of coffee had A?
PROBLEM NO. 262.
What is the side of a novemdecagon inscribed in
a circle whose diameter is 16 fl?
t.- -H'-- 9tt naA.' OTIosE.
.-s. l, PROBLEM NO. 263.
Having measured base OF 800 feet in a straight
line, on one side OF marsh. | discovered that he
other end and n Limestone" ON the other side of
the marsh, were 36 deg. and 81 deg. What is the
width Of the marsh? 0TIosE.
PROBLEM NO. 264.
The major axis of an illipse is 40 feet and line
drawn from the center, making an angle of 36 de-
grees with the major axis and te mnating in the
curve is Is feet long; find the minor axis area and
excentricity. SAMMY
PROBLEM NO. 265.
A blacksmith had an iron ball,
WITCH he did bullet call;
He found out, by some nice trick,
1t was exactly one foot thick;
And silyered DER with plate
hich he proved by .ales and weight
The silver's weight did he pronounce,
Was Just exactly have ounce;
He took the ball and made il hot
And forged thereout an iron rod
Ihe rod was just three inches thick,
Round and long, just like a stick;
Now, how much silver will it take
To plate the rod that he did make
And put it on exact as thick