Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-06-08
THs FUzzLBs,s eeLunN.

enough to comprehend The diSfefSnce be-
tween - doubtins a. mans .yerscityf when :. he
answer t0sJ problem without q mathematical solu.
tion or demonstration- n-the latter of which an
Problem No. -. II last weeks paper your COM
2sitor left out one figure s.sls7 is the answer as
-yGnernsey's assertion that Problem No: so cannot
eeelye an exsct answer is not cnrrect 4 ne answer
strated before sent itI -lhe answer is Irrational
neyertneess, 90 exact and correct !. Aso easily
one cap@ble OF understanding deinoDssations for
EeI. EEex. I. d: Woolsey. D. pis REsisdent OF Yale
gsry truly says Mathematical science
BelleiD Hoitef's solution IF Problem Mo- 50 is
WSs be sr & me sSS aaae
60 itself, the two results win make 5. This will
give the eguation x2-2x@, or X Plds 9x==52
would have been correct had she made correct
statement. EEuFFEpT
Problem No so. viii apply equally we'll &c Delta's
answer. Now, Mr.. Editor, do you pretend to be
ma tSs%stcians% % Of sSe 8 ststsS asSSs @ sasfeeg
send your denominations. If such Contemplate
our AFi5%eties @ or sSsSs Ssttef make bonfire
and burn them ali up. and try pur hands onia aeE
Ny answer to Problem No. 27 is correct, Lime;
stone to the contrary Notwithstanding. ! wopld
IKE 70 know no much be hi Ks his opInMi9n. M II
Answer to Problem No, 1S-Thc. tree broke at II
feet from the ground, which is the hypotenuse OF the
right augled triangle. of which 10 Is the length o.
Answer, 70 Problem No. ss-.ss7I Of an inch with
Answer to Problem No. 50 -24itrees. .,g...
see glance that she which got her portion cfrcs
1s1 would e haSe S,s The NEST s3nndi
PESSIsn 1ss. 4 According to the
II was about to offer g. e d ALLY Ono STATESMAN
year for the frstgod solution 10 Problem No 6e by
$50 -''' Sc : 90 : -'' GEO, s. INs1s.is
20 ,s. s- CHERRY Grove, June g. 1867 p
The interest in your Puzzler's column seems still
unabated-v With reference to No. 50, of last week
i do not agree with you when YOU say there is nc
exact aHsgsfto No So, There sis no aritnmetiea
that satisfies we'll veries the conditions sf the
question. If thebquestion is asked. what number
higher mathematical point of view, TO say thereis
NJ. correct answer when. it is apparent that the
square root of is the number !? Ilss san .o1-l
Let IN e assist Luk abus'' little in finding solu-
ton to No.6Sg The semt-dlameter Of the circle Is
attic base. and long enough to contain one acre
he simplest met cd is to divide 621264o (number OF
%o by II Ssss Of Of a
from which the area is readily tound-I am going i
e,supposition that the breadth of shilling is
10 find size of square piece of land Let us sup
pose IT to be fenced only side and the length
OF one side is found BY dividing number of square
inches in one q hut it is to be Fenced Oh
four Sides we divide four square acres reduced to
which equals one side Of the piece Then square Of
these apropurrins gives 25os05 acres and takes
tHenty times that number of shilings to fence it.
.. so5 I. ~ IDS. COLUMBUS. o., June 3. 1867.
Mr.. DIToR:-In your last Issue you said the ans
wers to No. 5oare incorreetl Here is the proof that
root of g is the number. Now from the conditions
square this and IT G yes 8, minus two times the
q q q NOIV hOy
who knows how to add. in Algebra will know thai
the sum of theseis5. This a mathematical de-
monstration and if you intend to maintain the i'm
portance of the Puzzlet's columns you must not de-
ny our answers without the proof If you can deny
other man; can deny the rest, and theiEterest in
the hole thing lost therefore request that you
either give your proof or do not mix IN the W rk
In regard to No. 43. considered the statement moi
clears but assumed the Conditions. Gurnsey has
~ lna 4 bs IS stSa sIe e snd am P.
shorter method of solving No. 81 tina Guernsey, but
ON account @ Of the difficulty Of writing. viii not
send it. The data of No. is are correct Mr.. Gurn-
Answer to No. 45.-1. ., and 1s This question,
does not require ',sturm" but is solved by simple
Answer to No, "a 5-95 gallons of rum and 5 of
brandy Thisis also solved BY proportion and quad
No So is solved ON theusame principle as the
Answer to No 56--ls' shiIlings, 7s9i--. = .s7,.
tNo.65.-The round daughter of course. rt' -a.s5
No. 7l.-ss 3-5 feet fronpt the ground. p,
sii''i MINERAL COUNTY. W. Va. June 5. 1857 :
NM Mr. EDIFoR send answers to the following
Problem No 47-v received 2s2s Is nsssu. .5sslisd:
W received 53af IS II 75e43-5e3Ir Sd; rrceig ged
25SS 6s 2S7ss-5Ssllsd received 75s lbs 4ss344-
| Problem No. 5l-s4ss. ~, i.f ~. ~. .-...
| Problem No. 52-12. 'f...ss,,
Problem No. 53-23. -,-=~<r. y. ..- DIXIE.
Mr. EDIToR;T7Rich. decidedly rich, is the cluster
nv 3 No. Sc is a5gem. ind the sum OF he lines
required to be those joining the gwen points with
Of or @ are are eHscty sqaa GSaSss the $ SgSt
on either sdof this and the united lengths of these
is this: Connect given points with straight Ii z.
and let fall perpeHdicul T from each on meridian
point nearest the meridian and parallel to itdunt
it cuts the other perpendle ularz This will form
aaa IL tas Fl so as
to that part Of meridian between the feet of per-
DsRdegAEs y The point % q ths ss!s the ysP
the required lines to be sos yds. # and 1o
I11is' towers,No S. This and his circua problem
No 6s, are ingots Of pure gold, enriching all who
Distance between the tops of towers. l57 ft. with
The quaatiiy Of land in No. es "A So rods. is yds
Psxtoni. noie {No. 7O)r call for $780, and Seeds
tree must break soX feet above the ground if its
whole length was ls5 feet (unit figure Of data dim IN
| my copy of STATEsMA MAN.)s ~. t4--'.r, .a..
! AS to Nos. 64a d 81, Ne judics. AzG dprtssansa
opan iu1n non possEn, Aaec adauc dgcre. How did
Innis. Robin aud sam my obtai correct answer to
my pretty radical No. 4s not baving the true state
lntion is SO superior to mine tha abandon tia
adopt sis ! pINsasss lea s much have Srn.sd
s0ysd %eed 70 sa Ss in SrinE ing
steps for solving No. 81 is misnopsr for diam
Ieter, beg pardon. -sgile.s5., GUERNSEY.
| WASHINGTON. Guernsey Co., o., June g, 1867. ]
Il q Tn = A.,
lem. No. 3s Dimensions Of quart measure-D-
ametsrsl4 6s inches; depth. 81. Dimensions of l6
Answer to problem No. 45-I 5. 9, is. - Il
1 Answer to problem 66-5e5 96Xyds. - rlt -1eiy
| ensyes 10 problem es-24 62XI erches. l57
Answer to problem 6s--l57.04Xft. 70 -ia aht
Answer to pro lem 70-S250. Co., -s1. +. .zRs
Answer yer T. p problem 1l.so from fort
swers; but they are what Obtained for answers,
sith my view Of the several questions. =, -
| the diameter Of a shilling be given.
Answer to Problem 62-Dep b. of water int the cyl
I've Found. at last, Msttis's hoopMProblem oS S.
aud will just rol to you. IA feet. the emit
Of bs The to four times he diam
l ,4,,.s,Eg ,7-e--e CoLUMBUs. O.. June 3. 1867.
Mr.. EDIToR;II acknowledge my mistake in the
solution OF pr6bl IN No.40 tuernsey" is correct
sey that No SO can receive correct snswer, which
was p9blished last week. will send him problem
isuppose thai Guern~ey would try to blow me ur
abOut my missta ement of problem No. Sc if be had
not made mistake in stating problem No. 43; but
Counties make mistakes ass,s' II as Robins. an
glad that A. Courtwright does pay enough atten-
ton. 10 the Puzzlers Column 10 know when his
problems ans cred,
Answer to Problem No. 65-The round daughte
had the greater portion of and, and wish frieuC
! Lukabus would inform me where can find thost
young ladies of whom he spoke Gone round tn,
, other square'o. 20 a. eH
caniint tell which ''P- p. Paxton means in prob
lem No. 70, whether it is 875 or dollars 81 mt
: | and S mills.
Answer to Problem No, 1.-THE tree broke 80 5s-9
r feet above the ground. -
, "Gusrnsey's" answer to problem No. 81 is correct
ROBIN.