Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-07-27
THE PUzzLEa,s COLUMN.
WASHINGTON. GUERNSEY Co.. o.. July


WASHINGTON, GUERNSEY Co.. o.. July %.
Mr.. EDIToE: Once more unto the breach" s and
I'LL mp the ranks of the noble little band OF Puzzers
3 Here am. Sir Monitor. ready to answer some
Bro. innis courteously objects to my being sent to
the foot Of the class; but there are S some . 6acs
fsifs srp asEaia that III Ss abe @ hesp
mis-, Guernsey and Robin. and breaks into % a broad
dite Sammy. he is numerous in figures. Robin.
take my best hat, and give him three cheers:
In number of the paper, while was sway. Sam
my asks Delta or Guernsey to give the rule ior
sowing No u.s." In reply, have no rule. IN tne
0s the and
for the required part Then lean back and take a
the known and the unknownp rts BY which to find
the value of Such figure. drawn by the condl
tons No 5 consists OF two rgnt ang G co n
and numbers. are to each other as . TO Il nence'
Town up, that when sent my answers t. Nos. 1o4
and ll3, there Vas some doubt in my mind about
their correctness. knew of no prnclpie IN Iis ne
fers by only small fraction from Sammy and >. KS
My solution was analytic, and l think, correct
Ny aatnitg and Noting discussion of No.. l1sI
still seems to to prove that the diameter OF the
ncnes. sammy when arguing sg inst TN my a;a s0lu
tion does not seem to notice, that when the dame
leSSeno1
more the iuid.win rise about and over it. and the
largest part Of the cup be stiIl filed with water.
S ssa otSsi II
greater than 2.725 inches, My method OF solving
hs Sn cup was for msny
Things, and wont quarrel with any one that up
sets the cup and my Representation also ~, %, ;.
The answer to my bowl question, No. Iz4, IS
something over i3 inches according to my working.
Mr.. 1nnis must have erred upon some point.
ANSWERS. 80
Problem No. 126-9.eXyears. -
Problem 12s-Has been answered alrea5y.
lem. .No. 49,. 6y Bacon !" which bacon has neve:
BEEN savedo in thiscolumn. I N0
Problems lso and 1s?-l can't tn tins ., TINE
worth, S4e0O3X. T' ssr 20 4HgF zEFrE7
Problem ALSO hours. tsai-i
Problem 1870 rows. sgiz ~ ma
Problsm l37-sl6 20. a.L u
% Proble l4O-If the gable end is tow .rd the street
Guernsey can build house s2.5 # by 49.2ft If he
lot, with similar front yard and the gable end at
right angle with the street. The dlmenslons Of TINS
house will be % * by soax u solve II Gosn WAY.
Now for the cheese. with the hole in itat
Prob No. ll list boy eats Of diameter dial 324a inch
eats of diameter 1892 in. The hole, if reduced to
CIRCLE will have for its diameterI22e 2e7 inches. If
Sd boy eats hole and AL then his share OF diameter
This must surely xiii those bows; but if it does
.'Olose, lend them your knife. DELTA
POINT. OHIO. July 18th. 1867.
Mr.. EDIToR-Iagain commence my letter without
seeing last weeks column. L am sorry that cannot
get the paper in time, and hope your puzzler
as much interested in the work as ever. Lam anx-
ions TO see the next list of problems.
made one or two little mistakes in setting up the
work The numerator ordiyidend should be squared
as well as the denominator or diyisor You should
have printed "Diophantine Analysis" instead of
sDiop6antiOn... and "indeierninate',. instead Of
we'll disle as you did in that i, dficsit problem
i did not ealfone of my questions bully ques-
tion." but pulley Question" Sncn little mis- :y1
send you two or three more answ ers this week.
Solution of No. 59-Let KY, K, aud P us rep
be % Squares; assume aSWaa plus b and yE2ab, then
the second and third will be squares. AMI it only
viii be accomplished by, making aIm2-
M and besmn; then substitute and get
m@s and nj, and we find the numbers 4sa, 1852.
and e242. have another solution, but this is the
answer t to No. sONTRis question is solved by
changing our scale of notation into fne dernsTy
s I5t is ~ dis the The soaoa G dauno .Ss
well be set up in our column. but if any one wants
the will send i sY 5s a. must Ss
ia one scale and the four weights, Tag, 24S B. and
No 81 is Solved by Sturm and Horner. Elimina-
ting in first and third gives large co-efhcients,
which would make tedious work; hence. letx-2s=a2
ind and n in equations of the fourth degree Hor-
ner and StuEm are beautifully explained IN Rob.
70 He The IS
x=34 353l56 y=5.324s4s and ZIl5 :29e3s6
trouble M S Mr I Edtos gGSa the
Answers are $50 7l3 76l IA S32=lst; 81 1856 $685.
0O2 POI .6OO=9nd: 76.7sl' 1862 "a. .e5s .s6s=sd.
WASHINGTON. GUERNSEY Co.. o,
Mr., EDITOR :-Stiu the work goes bravely on and
new list of problems are brought to light and our
friends and old are all ssw%k g. 5. robs
few hundTsdths !gt 6 is ths nearest whole mum
Now for q few answers to problem:
12o-Satinet 81 yds: muslins4; ribbon ls-
ias-sa@my 81 Dixie 2s; Delta IS. Hurry up.
Delta, you are behind.
opposite upper corner is 2as256os feet. al " -
i22-Draw triangle A B g, making the angle at
ni Is min. aeM Moro; then, making BTsso rods tSpj
continue the base line A until it meets in the
Hs iine indefnitey from let fall . perpendicu
lar on : c. call this point D. then will the angle
be right gie apd to ind the - me a9 AZ We
min. :: seq $50 B Dies, Ass. and in the triangle
BIC ID we have the three angles and one side given
"a min 90 deg, or !: lss. .47s5: c=l7l. .sl3s
rods, distance from Moro to the ship. a'ssi -
No. 128-The number is 60.
No. 1Si--The remaining sides are 81 and 4s feet
do not feel coud ent that this is the
suCh proSems do not rscoect Of ever seeing such
a rule in nv school days. have not had time TO
examine the other problems. Roll in. boys. and do
your work up in nice Order without any janging so
that we may all improve in mathematics. My best
wishes to all friends of the cause.
Problem No. 1863 949 400 years. cd.
isoIa 49, tsfma SoSrs @,i1d' and as asni; minutes.
l34 rs days, 90 hours.
135-My age, IA Flora, l6.
1857 is the most uncertain question in the
whole list; Asi sanes il i. rather uncertain II
turn, then could give correct answer. ! have no
doubt but many Of our contributors will answer
this by saying 40 but this not correct ans
wer The full or correct answer will be l2U rows,
less times the distance Travelled in turning
reduced to rows of 30 rods in length.
iss-i4se5gs rods.
14o-Length. 80 sss feet; breadth, .sss feet.
li1-lst eats 8 2469 Inches:
sd :. :. = 2eSs 2ees
the merchant: and think if these boys d. not get
sick there will be Of trying to make them so
1857 in place Of 1s76, thinking this was the fact
from the verb died. denoting past time.
7 expected to have been able to hav- closed up the
list to-day, but will have to say that have been
unable to get time. will some time unless Others
have been more fortunate than L. Boys. solve al
'A'' 'OU you --O'' W. ''N' SIX.
Mr. EDITOR: Unfortunately for me have los
week: consequently can make remarks for thi
( weeks paper, Isend the following answers;
hardly young lady: Fiora's ls. and Mr. SIS 50.
134-75 days and 20 hours. ~
1920 rows of corn. TF t
iss-14.ss5. Correct to three decimal places.
l40-Nith so 33s feet; length 90 33S feet, with
small remainder. This is a nice, but rather eas.
problem, involving the application of Algebra t
Geometry GEO. 3. INNS,
WAsHrNeToN, o., July %, 1867.