Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-12-07
rHEpu.zLEw,s COLUMN.

>s-S1
ters from valued correspond nts. and the letter
full Of informal on and fine mathematical PROPOSE
tions. Adjusting our spectscles, wiping our balt
poll with our red banianna, taking our legender,
pinch Of snuff AMI blowing our nasal protuoeranc'
till the you oysters jump again. we proceed to de
liver our lecture: It5rl- -u-l K H ffl.--f
Young men, you are too verbose. The great secre
of newspaper writing is to say great deal in few
words Because of their great length we com
pelled to lay over the communications of several
our most valued Correspondents. We have SOM
sixteen letters IN our drawer, esch of them of fv
pages o. letter paper or over. We haven't room
enough for them all at one time. Soms one mus
wait he. T. -s b4l-s7 7ft .r" -t-- es
We shall publisS no problems this week for th,
same reason. Work away the unanswered
Glass is dismissed. 49 ah-s isot -sl.a
NATcHEz O., Nov 25. 1867
FsIEsp spIvISs: Iwas rather p evoked last Sat
Column" noticed that Otiose had no answers cred
tied I, him; bu. that he had two new problems fa
answers all the problems. except that of Sam.
mys. an the last in the list; and it was
the same way as one Of Simps ms. Earth r. don'i
want you to put y of my prOblems IN unless have
answers to other problems likewise in the column
for we have great many problems dsr too many
whilst the answers are left to few contributors.
REQUEST Of Snnthst you viii iai the % humber of
problems to eight FER week: | think all of you re
regular contributors are agreed to this Tue-t is ia,
solutonsof three or four problems than just the
answers to twent, problems.
bit) was because in that letter explaioed te diff
cu'tv between SAMMY and mvsc { in pronlem l57, :
had been TO hum" it wo i'd have been all right.
That brair Jewhiliik,ns must nave had the keen
ishing comets" Verv good to give a prob EN- or two
AID then. then sink into obscu ity as tar the
Puzz'er's Column j. conce ned for last week he
n q e 4
for such a ams could not endure long in this col
% so.e used % cheer for Andy Jackson and as
world. Haw-i mean Gee w .iiikin.: did you not not
such an oaalandsh sisnsture? For instance YOU oS
could have had pretty geographical n me uern-
Delta. Now please U don't like to write your name
any morel don't tangent off. but nice short
fellowship. lit will be per :eived that the above
rsTsrks we're made Seesuss could not get Jss
problem $50. Am much obliged for such an excl.
lent rroble given to me by +. H.. " i'll try and
give him as nice one.I
-riisdr ANSWERS TO PROBLEMS. H-'-
No. 2s7-They must be feet part.
No. 2so-Bro innis should remem er that round
ing or heaping brs contains ISIS cubic inches. My
o. 297-About q mile. tr.-. -.,-. L,-r r,-.r
AsI am consuming, too much room, I will give
my demonstration of Sammy's theorems and stop.
a ,- THoREM NO. 2S9. -!-s.p
1t is unlucky that we cant have the seometrical
Ss be S
making CD equal AC. agd complete the isosce,es
afs .osc AcG T Tysw AP the R s6s
the angle q AM equal angle ABB and DAG eq al.
Aes te the sDss sase CaG
plus AbC 9TH; Ia 3 i. Robinsonj which % equal d
Since the snsle @ a ANc equals we have. in the
DAN Plus ADV equal s times the angle b. and and
since all the angles of triangle are equal to Ist
Is equal to Is Of iso degrees equal So 'de des1eee
The angle ACB is twice the angle d therefore ACB
IS saaa n% II the de-
4RG AR .smi, s%a Ra RAG .Ss but therefor.
equals 81 degrees. equals the angle Abe or BXC'
Now: it IS to provo that the angie NAM equals
il is granted that CAN equals the a a,gis n, eaaal.
es deg. - - - - N4f'"''
1t is granted tha, GAG equals twice the angle D
granted that GAM equals angle b. eq gals 81
But CAN. plns GAG. plu. GAM. equals NAN
Therefore. SO degrees, plus 70 degcee,, pf s 81 de-
gree:, equals l6a degrees. which equals the angle
I6s degrees equals NAN. divided by 81 degrees
which equals tae angle q. equals 3. which prove.
had ihtended giving ths-s solution of the mex,
theorsem, nut see !! have consumed to mu:h room
a. sss sea % much
HOPED ALE. HARRISON Co o., Dec 3. 1857
MEssRs EoIToRs: again trouble you with an
other communication. If l am Soma what prolix til 1
time. please pardon me and extend to me the and
sending pr bi ms for gubiication did not in, md
or expect % ssTd any coul not solve myself .nd
with the problems would be found qui; sssiiv by
some of the Puzzers. | believe was mist .ken
bas1lot been published vet. Brother Delta seem:
to lh,pk that isso mrs is the co rect ansye- and
with him suppose that out Of the mouth. Il se
many Puzzl lers that answer should be established
b%t with due respect TO them I'll opine they
frme give my proof With ysu- permission
Messrs Editors. with pie .sure viii try and do so
hours. in 900 hours, and in 455 h.u-s. The Ieas
crmmon multiple of these numbers is 1920 ct th
face or dial Then divide 1920 by the above nn ~
bers. to find the number spaces each and eoe
Bio and Now gains ss1s spaces 91s on nsa B.
spacss on G. and 9 aor D in one b 'ur Then a
81 ,sls' h sos hss The time ,as Tt ,Yel
eOFss brs the time hat q 6r.t overta ,ss .. Ho
takes B ,n soeaz hours. and Is overfakes c. aud {
overtakes ID at he same ii g. are they not alogeth
not through with the solution vet. According t.
TIE ruls in my com rnnication Of Aug. 2ist | re
are 1920 divided by 3. 1890 divided by and 1920 di
vided oy3 then ind The Least common muitipl
common mn divisor Of the denomitors and it is 5. The
divide the !essi comm N mu tipe by this creates
common diyisor, and the qIotient is $685. hours
gether. Pix. and P'of. Ray aeree with me tha
this is the corre,t answer Brother De t. saws fur
ther. that 1870 is the least common demon nato OF
the numbers gave in my cominunicat on Of Aus
2lst. Are Won not mistaken again. brother? Prof
Ray saws that the least conmt multiple of two 0
more nv nbers. is the eas number that ca
be divided by ea"h Of them without remain
der; o SGy1 and 70, "a are the a nImbs5s CAV
! 6n6s5 is the least common mul,ip'e Of these nm
an feD Inda 4 al iyic lIah
2o2 2s and has 8 for quotient and no remainie
Iwnuld Ike to hear from Qt'oss. Limes'c one, an
K. b and l.. T. about that Problem la4 IL al
not rght in the above solution will be under COR
piincnt to some of the brothers if they will set IN
shs sis ,ssa s 81
Thank you thsnk YOU PfS.hs p.S,s 3; and GuerI
cay to make an Egg sss"d on end s6en " you u knn
how. had nevsr seer any problems like tbs
l. solved previous to see ng your solutions; and ther'
4 fore did not know how to solvo it.. do now.
understand both solutions:
p. Answer To-. To- P5sben a.s 3. 20 day. and 80 day
no geometrcian. A. 5. SIMPSON.
1atI' r. 81 @ WASHINGTON, o., Nov. 81.
/ Mr.. EDITOR: There has been a number of nam
proc yse / as members of the Committee Of Arrange
mis- mis- and s RoSl1. with MastesG L. 'a is thereto o.
| Chairman Of the Ceatrsl U5mmiitee.
| My ans YER to the disputed Problem No. 2sa. agre
E .ss ssm ,bsrs yGs WIN
men. isthe excentrieity not the dista 4cs from
| center to the focus? # no, I'm done Is not I'll
+ di ancefrom the end of the MINOR the fuci
equal t" the semi-major axis eqaal 90? Half II
| mi ior axis equal Is plus? With the numbers 1
| by otenu Q ard height. how can he base exce
uicit- be less than fprI? find il over - feet.
We di fer muchly on 28l and 2S5. W hats ths
swer? But Tell not In moarnrul numbers
showing 10y results too wide of the mark.
| My .loafof id"-No. 267 haI been ''orderad nj
bef re it was baked. w ell its up" Let X equ
| thickness of crust. Now consider two snch i ave
| and the portions, within the crust p ac-d togethe
form a spheroid there are our cfusts taken off
| one rec ion and two in the other. Hence le-2
and II Ak are InYj r AID minor axes, and the cu
o. the 50 uare Of tn ir product eq lals s64 whiC