Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-01-18
THE ruzzLEw,s COLUMN.

| i-.l ~
We again miss Sammy from his place. Thii
wontdo. He must report promptly. or we shal
call Guernsey to his assistance and hcrse" the de-
linquent. Il. b. asked and obtained leave of ab
sence. 1t is time for him to answer 'here."
We have received several fne problems fir N
jack. the which we shall hold until We begin or
the new series.
PErsRsBURG. VA. Jan. 9Th, 1858.
Mr.. EDIToR--D Dear SIR: / regret extremely that
could mot mot attend the Conysntion. Sa%my !.
problem. but Isupeose ii, must be right. Soubri:
without another part Of the triangle is given: as.
saned tat i was : right anx . triangle. Ms mis-
on sSs ws y.sy
s2s-Deita a2o4o. Guernsey $50.
s25-lo miles a day. itsE8 &
sao-is6 degrees The sum of the acute angles 8
90 degrees the lines drawn the center Of inscrib
angle having tor its sides the two lines and the
pothenuse of the given triangle. the of the two
acute ANGLES is 45 degrees. and the remaining anglo
No. s3l1Let AID. AE. DE. be the hypothenuse.
s%d attitude .1s Of 1nSs is The eenrs
AB equals AC, because Alb isthe base of right an
equal to the hypoIhenuse and altitude of the tria-
ele whose bas is AC.. For a similar reason BID is
Ac minus dausls c pus G but cE
Plus kG equals FO or thed aueter ofthe inscribed
rectansle. and when rectsnsie has two of its ade
Jacsnt 81, sides @ equal. it isa square. - 81
at $50 dollars b. ad. tfifw a9gag 4 a1 ta.i oii
No. s34-2l rods. 90 rods Sides of each field.
Ne ss.2 in Geometry. in Algebra. and in
M ss1Nffhe man has sI7 and owes %.
= No. 3s5-let x'= cne rart ofhypothenuse. - the
other; II radius inscribed circle. then plus ~
hypothenuse: x plus =Ihe ba Q; y plus alti-
gr Qr.l., o., ~. lxxI~xc
- Plus 2yz plus ne. which becomes xy=zex plus y
plus s but the of triangle is equal to half its
perimeter multiplied by the radius of the inscribed
circle therefore the is * plus plus ~ hence
Ky = area of the triangle JACK.
DEAR SPiyfNs l. could but think. on looking
oyer last week column. that our quiet little bro
advice to Bros. Gnernsev and d elta about writing
poetry to himself for verify he is fast becoming
was sisa to hear FOUR our good friends from Wash
ing'on got home safely. Brother Guernsey says
make him anything else but happy. place him any
Toele. aud under almost anv circumstances. indeed
dom fails to make others happy in being himself.
Or s a. least that was the case during his sojourn
among US. ;. Al. again: I'm Bro: h Gaeinsey
mex! ii,1s. But must sss send = few answers.
No: 34e-This can be nothing else than right an
eed triangle and the angles 90 deg. So deg. and
small it ok two to make ono number. o! Otiosc.
Ne szs second part Length of LIST line 2o4i plus
No ssI-,1ed. Gated to Bro. Simpson. Tbis is q
poser; but will solve it for on Bro if you vii at
ting At Joes age exactly, but think be must have
been about four years old. Jesse IL and Jim Is
le,sac,,isa isuoe-.l WAsHINGToN. January Is.
ME, EpIToE: This is my first appearance since
TRIP to Goia%Sas ASw me to
per-; Oh my absent puzzlers, it was NE At and
drink too.thst you shoul have be n there. We
Eseni answers to all the questions in last number.
except oue.. We have another week after this to
tion,asking friends. to our help against the nigh
hard problems you've propounded. Mine are all
xo.ked and feel as "indepsHdeut" as any equation
D'eii'''.5 ; ssns ANSWERS. afsa
:. No. sl2-Numerator minus 10. denominator minus
Problem 1890. 80 and 60. 81 sfa .r7sfs-e ss
s4s-7so and ms ss. rs''' a-s9.''se-a u = ':aa
3le.Trisnale is right anglcd. That appears from
the side. being in t.e ratio of 3. aud s Acute
anales-36 degrees. 50 minutes. 10 seconds, aud SO
S41-Can. but too long, nif .1T -fsrit
s.-i4 and ao.4 tMr. Printer. please don t give
3i9-7s rodsli sl,5ls ~ = . = 81 .-s --1le
sso-Disme eter 1874 inches; solidity. 1880 inches.
35l-4. y. I6. ts..-.- :, - - !
352-l747 feet. DELTA.
NAroHEz. Guernsey county. o.. Jan. IS. 1885,
Mr.. EDITOR Last weeks was truly fine COL
nmn. What has become of E. b. and Sammy I?
Come. brethren. help us square the books. y |
,s-8It n ANSWERS TO PROBLEMS, ad=D Il
Problem 34l-s35s 90 B. q. asks for the solution;
here it is Given $780, the present value of an au-
nuit the rate per cent. and time fge years, to
6nd the annual payment Assume 81 for the pay
lnent. The present va Of an immediate
annuity Of Sl.00 for aJyears at per cent. |
= - 22 plus $500 divided by 42la equals 1856 o.
No. s4t--Minus 10 divided by minus Is. I'D
No. s4s 1t will take A 20 days, 80 days and go
10. s4s-72o and 5l2 pounds. Bare 91- 77'ii
No! !s346-36 degrees So minutes, and IS degrees |
minute be solution is demanded. AS the sides
triangle is righ htangied. Draw the given bisecting
ines; We now have several equations from either |
9f which the sides may be readily determined.-l
Suppose we take this equation, (3x)5 plus (2x)2
EQUALS ia AZ plus)2 that is 9x2 plus Axe uas 2os or
lsxa equals g. or. equals Z. The sides of the
rightangled with the three sides given to-
ind The other two angles: which angles found by
to be 80 degrees 50 minutes. and S.
degrees minutes. es.r. 5lIt u. l,.r-i Il
No. sH-This is q very fine one indeed. two prob
ems IN one. Answer to first part Bung diameter
s zs inches head diameter is Is inches, and
answer TO second part-lt will take 30 s5 gallons
besides what the small cask contains. --
Next two are mine.
No. 3f9-D ameter is TAX rods.
No 350-Not very clear.
md l6 respectively
No. 352-249 3 plus.
Hoping to see communications this week from all
he brethren, remain yours &c.
.s795isI EtT5dE brs siiiq Oil 5OTIosE.