Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-03-14
raE puzxLEa,s COLUMN.

THE PUZZLER,S COLUMN. =
The wheel theory, started by us some time since
has taken in its revolutions the Scientific Ansricas
and the american Artisan. ard those two scientf,
sheets are all in war with the buzz of the revolv
ing wheel. the Aericon contending for the one snt
the Artisan for the two revolution theory. Our
respondents seem to misapprehend our statement
1t is as follows: How many revolutions on its owl
| axis, does . wheel make in rolling around ixst
| wheel of the same size We declare for two. B,
and by we will give our reasons. when CORES
pondents como to some positive conclusion about it
| In reply to Otiose. we would say our senses ar
not able to detect absolute motion. A point may b.
at rest in relation to some point. and at the sam
time be in motion in relation to some other point
A writer in the Am ricdn Artisan illustrates this
Suppose to be standing on the tow-p path of
canal while canal boat moves past him at the rat,
of ur miles per hour, and. at instant the bow
of the boat is opposite bm, suppose man to wall
from the bow to the stern of the boat at the rate
four miles per hour then the distance of the man OF
the boat from the man the tow path-that is, The
straight line from to the otber-will not bs
changed in length in direction, and the man or
the boat is at rest in relation to the man the
tow-path. and at the same time in motion relatively
to any point the boat--such the bow. which il
continually recedins from him. such as the stern
which is continually approaching him.
NATcHEz, GUERNSEY TO. o., March IL.
+ intended to give my opinion Of the :" wheel pro-
position in my last communication. but scrib-
bled the few sentences contained in it with great
6 neg BsSer g fS So
itself into this: If man. running over the p OF
moving train OF cars at TIE same rate OF speed as
utes he would go twice as fsr in running over the
train if it was stationary. although he would go
hut what the train is absolutely the same length
when in locomotion as when stationary; therefore.
I'M 0fS iyrn har
because Improves absurdity, v that the train
istwice as long when moving when standing still.
ours with Innis' side of the question-but Spiv is
lam gratifed to welcome several more recruits to
the column. Nc one answers No. 30, save Washing
ton. he is rgh,. Having the year. tho month, and
the Day OF the month given, we can always deter
Bro. Inns entertains serious doubts concerning
sry Sow assure Bro INNS that iaeG + salis q least
haven't composed one line. All I'm afraid of is.
this summer that he will not bs able to see the coll
umn' HOPE my fears are idle.
No. 33-Reight 100 feet
No. a4-Age of father s6 years, of son Is years.
No. sSIIts weight is l7ol 900 lbs. if cubic foot
Problems Nos 81 and SO are mine OrrosE.
GRANVILLE, ONO, March 3. 1868.
s5MR: EDIroR: hsve for some time been highly
does, notwithstanding the limited number of con-
tributors. benef; vast number of the youth of the
send few answers: y. s5 .gi.-s
Problem No. ss7. in volume one He has seven
No a4-Fiftsen as, or twenty-one (aD.
No. 25-Six t6) and ten C0)
No. 7-Kobin "a. Otiose 81, whole distance 126
No: 2s.one half of square root of twenty-one.
No. ss-s soas plus pounds.
Very respectfully. D.A.
WASHINGTON. O., March TO- 'ss.
DAvR SPIvINs:-Since my return from Coum-
bus. pastoral duties have occupied nv attention
as to almost forbid entrance into mathematical
fields. Hereafter expect to have more time at my
disposal and will try to be prompt at recitation
The nuts in the last Puzzler's basket were not
hard to crack. herewith send q few ::
To No $3.50.
TO No. 3s-l20 feet.
To No. A--Father's age Sc; Sons Is.
To No, 35--1. SAG, ,568 lbs.
To No. 80 This is a fine little theorem, Brother
Otiose. and may be demonstrated thus Describe
eter. Now draw any line from point Of contact to
the outer and radius from center oflarge Giro
whose base is bisected by the inner arc, This is
proven by drawing chord from the center of the
the Th line
pendicuar and divides the isosceles triangle in to
two equ.l parts. Hence the two bases are equal.
still think you are wrong about the hat.
GIE rHEE9HG GUERNSEY.
15 WASHINGTON. GUERNSEY COUNTY. o.
March 0. 1865
Mr.. EDIroR: Having had by some strange freak
of fortune evening at home. and a half hour to
spare. took up the "coumn" :" and prepared a les
sood quaty %hen working time Is sesres a' 'nA'
Answer t. t. ssIsS ss $50 9ilss. sass .gss
% ST 81 SIS a1s SIS. s''
No. 80 is pretty little theorem. and may thus be
Draw a circle on the radius of another circle.
and diameter in the small circle from Cthe point
external arc. From . oraw radius + Aand g 2
being on side of angle inscribed in semi-circle.
ID G, quod est demonstrdndun..7 s-.-.is
= fear bros Spivins th-t you are wropg the
snce will surely 90 forward M feet while makins
one revolution. with the fucrum at the circnmfer-
hs sss sSs it 0 .Od plane
: Guernsey differed about the number of times one
hat will turn on its axis " while rolling Sa5 around an
brick in it.that might disturb its equal Abraham
as my friend Mrs. Dafodl used to say.
RUsHcREEK. UNION Co.. o.. March 3. 1858,
=. BEssRs. EDIToRs: send answer to problem No:
larger circle sI4 10 yards ss37O yards divided by
~ The most Of the problems too hard for second
or third rate mathemeticians.
Mr. Error: Since the March Lion roars with.
out. will take my seat in the chimney corner with
in and employ the time with nv brother puzzlers:
Happy t meet SO many Of you on gentlemen and glad
so upkind by delinquent puzzlers. who are peni-
think Utose must be mistaken in his answer tc
No. 10. as M have been in my answer to No. r. The
No. issin the first division there are 10 lot, of
each and Is lots of 2. making S5 lots at each l.
lots of each. making "a lots at 81 ea,h The extr,
dollar is gained by increasing the number Of swa
equal, as in the second division.
No. 90-ls a neat triange. The required sides arr
two triangles having the common perpendicuiar i
feet the hycotenuse Of one IL th other is feet. W.
find the base of the first 1853 plus fe t. and se.ont
ID plus feet added together make IL 8l plus feet
the base of the large triangle.
No. 2l-That persons age is l6 years. The squar
root OF 10 is s. when i, sddsd 70 one,nai Oh the az
No. 23-Robin. bv splicing your halter your hors
can Craze on l. II plus acres LIMESTONE.
-.oisslr a.J THEoREM NO. 43.
Given qusdrateral rcumseribed about circle
Prove the sum of two opposite sides equal TO sum
the other two. DELTA.
If the proportion of sea to land be as 10a to an
the average depth of the sea be IL miles in hoy
long time. If the sea were empty, would it bs hled
-sis47fs, -.f PROBLEM NO. 45. - 4i-
After squaring log II feet long and 2s3 inches il
cd from it. supposing the to cut awav 3-l6 of Al
inch each time it passes through the log?
~ .s9z se51assi PROBLEM no. 49, =.
Required four numbers in srithmetrical progress
sion sum of the squares of whose first two term
ls so ndthe sum OF the squares of the last two
| .5t s,s PROBLEM NO. AZ.
Il Hr "