Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-05-02
PUzzLER.s COLUMN.

many days has been partly withdrawn Percsiving
that No SO Zone OF 6rotner otioses'. has not been
Fi!stA2 EQUALS -. .slus D. equals az plus :
spsf msIped b ssd pas plus s6
a2 Plus multiplied by Bad piu+ 9i:: "a plus AID 2
equals az plus multiplied by 4ad plus 1922 and Sc
on.
Therefore: s equals sum Of n terms of Il plus 1
PIN: pnm Of terms Of 70 pins pIu,S oIns 2 6c
multiplied by Fad.
Plus sum of terms of 20 plus /. plus 4. plus o.
But terms of p us |. plus l. plusl &C., equals n,
Ditto Of 0 olos !. pus2 plus ?. &c equals mul-
malteed BY tn pI @iaus multiplied BY e minus
whence equals n multiplied by az plus multi
pied by In minus y multiplied BY ad plus multi
piled by In minus ID multiplied by Cen minus d. di-
vided by multiplied by multiplied by 3.
Multiplied by d. equals nss Plus mad multiplied
multiplied by Can m'nusD. divided by multiplied
by multiplied by 3. equals the sun requi5ed
been given since first began pay attention the
Column" hence give full solution.
WASHINGTON. o.. April ~.
Mr.. EDITOR For the first time since the
wheel" question has been going the rounds.
have Just given it little thought. Nv conclusion
is that the moving wheel revolves tcice its axis,
and is founded on the following bit of reasoning
Call the radius Of the equal wheels X. Then
stance is ar. The center of the revolving wheel
describes a circumference whose radius is AZ,
wRSs Gss Pos
this circumference and the former one &c, and
in order to carry its center 2U must reUoloe t0fce
on its AXIS. If there is any flaw in this view of the
that it is here shown why the outer wheel should
reyoive twice while moving GROUND the fsed one.
gn?" believe it is a matter of fact that the in
habitans of Russian America first say it is Sunday.
have x aedsps
February 2" is answered by considering what a day
Is 1t is possible that there may be six SUNDAYS in
February. on these conditions: 1st That it be leap
year and the 1st of February be Sunday. then the
18th viii be Sunday, making Eve, ID. mariner
sailing round the globe he would gain whole day.
c.nsequently the asth of February would be to hIm
the 29Ln, and in the year supposed would be Sun
day. Now. suppose on the evening Of this day he
comes into the port whence he sailed. There the
next day is Sunday. and he must call it so. Hence
ne will have two In succession, or six sundays in
Februa-y
Bro. Simpson wants to know if l can answer the
question which asked him: Pve forgotten what it
is State it Bro. s.. and I'll try to give you an
swer.
have yet had time to examine but few Of the
problems. Some OF those recently given are so in
the question yourself out of the ra'O material.
DELTA.
NAToHEz. o.. April 90 1t6s.
Mr.. EDIToR:-I send but few answers this time.
beirg very much hurried; would like very well to
have time to answer those fue trgonometrcal prob
lens. but have not.
ANSWERS.
No. es.-They Travelled at the rate of 33s miles per
hour. Differe ice in time of starting seth of an
No. 7o-When % years old.
answer is. he lost 3454
took the price Of the horse to be what he received
for him Archie. it does not say that he gained 90
No. 72.-24 20. Several Answers can be obtained.
We should be careful in stating our problems. The
last two are very indefinite: would be surprised if
any two of us had the sama answers.
No. H.-5 cows. hog. "a sheep.
Good for Spiyins. he has hacl ed his theory of
the wheels with diagram and explanation. Have
not examined it close enough 10 venture opinion
punc,ual n his recitations; Where is his punctu-
ality? N. WIS apples Perhaps; are ike Bro. Lime
stones paper boxes, liable to slip. Anyhow, very
OT1osE.
WILsEYvILLE. OHIO. April 90, 1868.
Mas MASTER SrIyINs: | noticed that Steinerherz
Archie AMI all differ on the size cf the kettle. Can
The wheel question-Hawkeye Gays that " the
revolution" There must be some twisting of gu1g
cons in M this case Steinerherz makes the station
wheel would make but one revolution, to him, but
he would have to turn once around to watch its
No. 6s-B starts hour and 90 minutes after Al
each one travels AZ miles per hour and miles dis
No; ss-From to A 1915 miles; d to 10 miles,
No, 7O-Five Sundays in February. 1880. WIS
No.Ti~Lost s44t
the area of his sheep pen. To DO this, double the
area and extract the square root for each side.
68 hurdles.
No. 73-Too tedious.
No. 74-5 cows, hog, "a sheep. N. w.
OFFICE OF TIE SANDusKY JoURNAL,l
SANDUsKY. OHIO. April ", 1868. !
Of Saturday. the 25th. which the journal devil 4"
TRs Tbs noun noun i Is .2tso;p "Tdo;.
Arranged as follows will meet the case exactly:
$$$$$$ 8 3
You can toot" this to your readers;
P. S.-The lightning calculator {" has been in
[Does be calculate his lightning straight, or with
sugar in it ?-SPIvINs
PROBLEM NO. 81.
What is the of that right-angled triangle,
the dihere -ce in length of the b. pothenuse and
base is equal to 1871 chains.
PROBLEM NO. 50.
If lines be drawn from the middle point of the
sides of risnge to the opposite anses these lines
GROSS at a common point and divide each other in
the ratio OF two to one. Prove this.
JACK.
PROBLEM NO. SO.
A man owes a debt due in four equal instalmen
at the end of =. g. II and 20 months respectively.
nuu NC utue tudI ulsCOunI OelnB dilOWeQ at per
cent, $3.50 will pay the debt. How much did he owe?
WASHISGiOS.
PROBLEM NO. 81.
A man has two square farms, one containing 1000
a fence 10 reil' high snd pannels to the rod re-
quired 81, 900 rails. How many acres in each
PROBLEM NO. So.
Prove this:--1f perpendicular be drawn from the
vertical angle of triangle to the base the differ
ence Of the squares of the sides is equal to the
difference of the squares of tae segments 'f the
base. OTIosE.