Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-01-04
ACKNOWLEDGEMENTS.

:
ton of eatables, older. blackberry wine. marhemat
les and other necessarios was terrific. not to ss,
constant. On Wednesday they called Juda
Z Scott Judge Thurmau. and other eminent mathema
ticans of this city. whore tsngents. paral,elograms
hypotenuses. and the like were the staple article
Of conversation. Our q journment was as happ
as our meeting. May we all meet gain next year
The following. beautifully written on drawin
of column. was read by its author, brother Lime
b stone. fA 1niAUi - I
THE AcRosTIcAL PUzzLER's COLUMN.
Turn FROM your problems. "a SO your eyes,
ers En read the name Of Spivins wrssthed Ground
frssdine o er ! fsvored happy % group. is'''' ' '''
nitIng Al by friendships chain like .,sa7 ftt
zones y binds the lofty column strong; like
Zones OF distant, oven tempered clmes whore fruit
Lies meath the blooming trees and mong the vaies
Ere day has hosn, the soft wind with its fragran
Retarns with freshness to reward the weary hour
Oornposei of members full four score sad Eve.
Of measurements of earth. or cen the stars ol
Lines Of unknown lengths. and angles. circles
squares and cubes, 81 aly -
~ tions here assume, siF,lf 7 To ~ -
Make up in all q towering column to the mental
Notles colossal than the rising shaft of dumb cold
chisseled stone. staio
cas-, PETERSBURG. December 20. Iss7.
Mr.. EDIToR-Dear SIR : Otiose having asked
should like to state that do mt know how could
have maize such mistake. and having lost the paper
was. But the solution sammy gave was perfectly
plain to me. But the 6r,t principle Otiose worked
see N arc of 90 degrees. he could onefou,t6 Of
me edrtts surface; whereas he would sea ono
will turn to book cightn, proposition terth, cor. 9
(Oavies Lesendre) he will soc where his mistake
Since worked problem sol so diasrsntl, from
Guerusey will giye my solution, which think is
Let sx eausT side Of inscribed square, ex equal
diameter OF inscribed circle, equal hyoothenuse.
o,qaal base and equal Perpen nticglar tdo not mis-
take for the perpendicular erected on the hypoth-
enuse). The side of an inscribed square. standing
on the hypothenuse equal to twice the of the
the hypvthenu- and the area of triangle is equ.
piled by perimeter: therefore we have ID 5x
equaf 3x (h plus plus p) by 16 plus b. Clear
81 s. pus
3soh plus 4h2 equal 9C2 plus lsop plus sp2 biraet
eaus! slooNfsbp: But on account Of similar trian-
giles bp equ Il lsh. hence equation, 4 becomes sh2-
Sch equal $500 fr'm which we. find equal 80. IL
No. s7Hrhs . ma sss drinks four times week, and
one week drinks ls-ss, four thirty thirds Of the
ty-,our seventy-ssvenths. Hence n ~ :is::I:
80 ~ weeks, or ~ days and III hon because the
Is so e w Ths them e.
drink all the rum d9sasu;S BOA sEriiia .Tof3Eg
No sls-I ss have not xo,kei this cut yet. % ala
Of two sides is equal - the half Of the square Of
the third side pias twice the square of the line
the saS Of the q siss equals sSs
gothengse. base and altitude rsspectively.l Then
from what has been said above x2 equals X x2 plus
minus the sqnare of the perpenticalar equals the
square Of the distance from foot of the perpendie-
e. Ss OF
the middle pint Of hypotheause to the faotof per-
psndicglar. and the perpendicular from two sides
il one Of the sides Of the required triangle From
the .bovew We can easily and the acute angles Of
sssqulsed triangle. ssles se min.. sec. II deg,
No. s5-From ash TO pine 40 rods area $50 square
!, No 32s- .6.Bs. Let equal Whist A gave Der
yard az numb Der of yaris he got: x2 equals mum
St dollars ba IS sy
paid. aso4 DIVIDED BY x2-xs equals IS s Gle ar AMI
form equation into perfect square. x4 plus 28x
plus lss equals 5oo x plus IA equals So x3 equals
SO; Z sauals6. sisa,gssd Yours, od, >
- ,lal29ss3 HorEDALE. o.. Dec. 2sth, 1867.
MEssRs ED1roRs:.I have not got much to say
this time therefore will not trouble You with a
long epistle Brother, Delta. your questions to me
don't ask me hard Questions, because. when a man
ss.'s me civil questions and can't answer them,
asked me what will four chaws of tobacco cost, at
two for cent pie:e or if you had asked me. il an
d7zsn of eggs cost2 could have told you, but 1
cant answer your question to me-. / win now try
Problem No. slf.-The wife will finish the rum
Problem No. sao.-A got six yards at % per yard,
and b. eight yards at IS per yard.
In problem No. $40 the product of two numbers.
and the difference Of their squares are given to find
Rule: Add one-f fourth Of the square of the differ,
ence Of squares to the square Of the product take
the difference of squares and the square root of The
remainder will be the less number;
o'clock: Let x equal the time it is now; then <
equals lille of II. minus X.1iI tlfs9 -" .fT''3-
Problem No. sa4.-sa min. 43 I'll sec past two
Problem No. s55 -s acres. Distance from the ash
to the pine 40 rods.
WEST MANCHESTER, o., Dec. 80, 1867
Mr.. EDITOR: l have been looking over .ome of
the problems tonight and Have solved few-t1e
am to
was acquired in an old log school house with tue
dsabinx all punched out. and the teachers held des
feet long more or less. which the essential ele-
ment in "keepins school" But must pass to
nsr NO. S.1g ys az 90 per Yard yards at %
No. 3as--The time past is II aud the time to come
mi ute 72o divided by q equal 1853 equal one
part. 26esXI1 equal 29s1 minuies, or hours 53X
s4-Io dzdsa Sasss by easa 20 20 plus Is euu.
S. 35Xl2 equal 420; 42o divided by 50 I'LL Answer
% g IL minutes past o'clock.
No. 1926 -ls acres at eco per acre equal $3.50: "a
acres of Detas at SEQ per acre s4lO; the IL acre
eiaernsey) and s u acres tDslta. cost sl4to BSt
4O SivSed To- iaoxs equal and pitr 1so
Plus aoso and 500
No 3a5-lt innis travel Is miles per day he will
Eses IS o dys % sa ns s
miles. equal the distance lnnis has to travel after
70 that which R. mas gone forward hence s-s Of 5
time essa "a Of Rs s time; then r travels a4s
- - -, : Yours. A. K M.
- WASHINGTON. O.. Dec 81. 1867.
Ds4E TsAcBER This letter l will hand to
ysntion day. and We Of Guernsey start for Coinm
bus in few hours 1t is forth that the column
is short and easy this week. otherwise some of us
soon seeing Robin, innis. SAMMY E. b. the SEEDS,
the simpson, Limestone. &c., and especially Spiv.
ea sos olsss
that a circle Is diff aren't from its circumference
axis at the same point, A being equal to B. to
test this let Otiose solve my skating rink, No 332
Of B being equal to rods am wrong on sis. uti-
Csc is right thank him for the rule. 1t is ad rem.
SaImy ;iS saStl?n S Of sss is very fine. | followed
altitude of the see one-third the EARTH sur
face nothing be certain than it is radius:
for, line drawn from the position Of the man
through center Of the earth to the opposite surface
is secant and the distance seen on ali sides by the
map is by hyp ,hesis equal TO arc of 60 degrees and
its sine equals one half the cord Of third the
circumference. Hence, radius equals cord of one
this (being the line of vision is mean proper
tonai betweea the secant and K, or radius, the
,he;g ghth'' of the man. 1ai sl-l - 5Ile3 l-,-'.
No s26. Delta S2O40 Guernsey $40 a-5--
No 3z7. Robins uniform rate 10 miles per day.
sensible). gui.5 ~ ',rs- = - = = 7TT,'
No 39s. One side 5.I7-; other 10. 80 plus M By
No $50. 40 degrees
No 33l. Draw right angle triangle Inscribe a
circle. Sides of former angents to latter Con-
meet points of tansency and center of circle. With
divd foot the acute angle at the base and
raiin: equal to tangent described circle cutting