Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-12-14
THE PUzzLEa,s COLUMN.

- "
the members of this GLASS. We would like 10 hav
Brother Innis call on us during the wesk, that v
may make the necessary ARRANGEMENTS for the re-
| ception of members from sbroad, .SaA s. 4s q
| Jack is Informed that we have not COPY Of th
papers containing the first two hundred problems,
What has become of Sammy? Not line fror
MIN since our return from the East. This won
do. sir; this wont lido. .AssTE E saI8f7'9 vs
| 80 zaa1 r1s DUBLIN. o., Dec. s. 1867.
mR; EDITOR: I have just received my paper thi
evening. sad fnd, as usual. a long column abound
iug IN wit and demonstra ions. and but four prob
!ems.ope addressed to myself. IN my humble opin
ION, At Tue end Of the nineteenth minute the tw,
sarpsnts would be in precisely the same condition
as the toad that attempte to make hi self ss lar y
tis difference: The sn ,kes (if they could BE- foun1
at alb. having eaten such hearty meaI, would b,
stupid that they would fall cert in prev to t6s
first turkey buzzard whose empty crop demande cd
the foreclosure OF sundry mortgages supposed to b<
held by the atores id uuzzsrds This is rational
tnousn. perhap,. not q theological answer. | car
assure Brother I1ns that he has not misnterprete
my sentiments in regard to any differences of opin-
been unthought of hy me. expect to be among
the pnzzlers New Years eve. And, by the way
ssi
296. hut since Delta's answer corresponds to my
ON; by dropping the decimals it must be correct
ty plate before him. while had two smoking dishes
before me untouched.
No. es71The eye of the person being feet above
the ground would make the fence but 10 feet above
enuse the rocket must ascend 10 height equal to
the dIsauce between the point of starting and the
ns plus the bsswesn the plane Of
Our brother Soubriquet wishes TO know how "tn
md tho side Of square that can be inscribed in a
the hypothenuse of the required square from which
we we NAV easily find the sides will venture rule
have not thought that our column stood as much in
need OF problems. as solu ions. AMI therefore have
rot turned my attention to the construction of prob
ms heretofore
WASHINGTON, o.. Dec. 4. 1857.
1t is both amusing and instructive to note the
dihsrsot modes Ct solution of the same problem
ci!cumvents it. another anksit "a la Grant,. while
still another nds his way TO the answer BY the most
thought. wisdom. ability and much acquaintance
vita the axioms. primo pies and fun tai FORM
ulas on which are founded the ssupendous struc-
ture of mathematics.
A, specinens Of the singular modes Of solution
let the glass examine that Of $50 by B., and 2ss
propositions, but either might have have found
latter. who manifests perseverance, amid nuuer.
oas discouragements seldom seen, even in the most
Of II padg s. this
through which. when had tracked him safely to
the point sought. was glad. and said, Well done
OF modes" however. there is no use disputing.
any more than of tastes; but of both more when
TO do up" oysters. and when they have the bes
taste Three Of us in this place viii be there GER
SAMMY is wrong on a7s and asI. His exposition
Of s7s is very fine. Il take the earths diameter
equals 5000. then the hight to which the moon
,st be raised to see one-fousth co its surface is
radius, or 4, 600 miles. s.--f
Got nothing new oa Deltas bread: but my dem
ons.ration Of theorem t2ss) ia SO different from his
Draw diagram per conditions. Then the angle
q An equal, Be plus ACB per ezteriore. To each
md MAC. Now. this s I'M must be equivalent 10 3
times b; And it is:. - -
I'd; ACB equal ABC plus NAB per ssseriors. So
Sd. Ths sum Of Fsmaining angles Of said sam.
ct osi as shs I'D
No. s0I is a beauty. Solution.-Let .. and
altitude md base Of
ores and
tD Then x2 plus equalsz2.
(2) plus equals plus 6 o.
% a equal 16 divided by z plus 1s..
clear. Add twice Ky. or its equivalent. to each
value Of in Is in eD Substitute IN -. % Compars
values of x and y, square, clear cancel, transpose
s. Il ess inches aSsss sse
square equals IL feet inches; diameter of circle
equal IA feet inches.
,lose approximation to the truth. If so excellent
Z s as E. B. indorse them. shall be
No. s-2O and 30 days.
No. 3rO-A good practical problem this. Am /
BY the trader vaae Of sSs saa S SS
surrency. dsducting brokerage and stamp exp nses
ssoo2 s. This EXCHANGED for 1o4o's at o. per cent
bonds Of this character. Ths difference Of the an
nuar interest of these at per cent AND of those
SOLD at per cent is as stated above-ss sim rectus
d.
No. so3-A should receive sls and B s6 of C's
No. so4 The original capacity of that bin was
eet inches. or I'm mistaken.
No; soS-Root of tree and top of tower apart near
y zz0 teet. Ca nice question MIR. Sd
No. 309-There is an equation of time in this
pr blem to the point of meeting OF friends Delta
heir known difference Of time in reaching their
destinations after they have meet is IL
aod TINS s,nsIencs ,1to their rstesss
SIS and 80 plus SO =66. .Lsi'a = t17-7s 5f..al7
No. 3il-Why Jack! What funny onel Diam
One sixth the diameter of latter win be- radiu.
'f former SH md on another. Jack) ---1.
heir diameters into 1854 And hag.a plus ba Each
considered as diameter and multiplied Dy this de-
'imal gives the equation. of one large circle = to
'wo Smaller ones. ss'a = - GUERNSEY.
67,s PETERSBURG. VA. December 5th.
Mr.. EDTroR..Dedr Sir: Tell Robin never lived
in the State of OHIO. and knAw nothing of the G. H.
>; There was slight mistake in my problem No.
sad o
way that could get eopiss of the problems from
thl nix shat If the problems aud etters from
correspondents we're published in book form they
would have u ready sale? send you two easy
clock problems. -,. - - -. =
,seasIs. ANSWERS TO PROBLEMS. las s4ar
No. 2s7-s fest part.
No2el-Mollie CXl one half inch; Matte an inch;
Maria one and one-half inches; COrlista 2) inches
No 297-One mile.
7 No 3UI-1s.04 a. II. 80. IL feet.
No 3o3-A $ls: b So
3I4-55 % inches.
No sOs-Delia IS; Robin 6s.
of the diameter multiplied b. Ss54. Let 4 equal
1884. Let ABB be the hypothenuss of a rightaugle
spg 81 the sos 81 AC tn the BASE then
X AC2 eqaal ABs Quod est den,onstrdndums
JACK"
r NArcHEz, ONO. Dec. 3, 1857.
! MIR; EpIrcR:-As you have Communication Of
mine LAYING in your drawer, would not have ia
several old prob ems And first. we will look over" over
this that giving 7sie Plus ss as 40 70
ansa and Sammy 1878 plus miles. and Otose 1888
sss his %ssR
will procsed to give mine. The principle 20 up
is this; if the raised high enough to see an
surface; for he see As delrees of the surface
on each side of him, he can see IS degrees
on each side of him, it makes difference in VIVA
direction he looks Then, this being the case. cut
off an arc of 90 degrees by two radi each radius be-
ing equal to 1856 miles. Call the center where the
two radii meet q. then c is right angle. To form
the ext,emities A and B,of the arc. draw the tam
gants AID and BID intersecting at -; then ACBD is a
square-the angle Q being right angle. because
right angle because Alb is tangent to the radius AC.
and b also is right angle for he same reason.
each side is = to $685. hence it is easy to find Dc
which is 1894 plus miles; from which substract the
radius, and have 1888 plus miles.=the height he
must be raised above the earth's surface This
seems very clear to me- though don't say but what
Alright. :. - =
Theorem No. 2so.-As no satisfactory demonstra-
ton of this the rem has been given. will give
short demonstration of it:
Draw the figure as given, passing the circle
through the points A. D and c, and cutting ABB pro-