Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-11-02

cations. notice that Del refers to problems 223
sammy on as think t noonsiseut Afle' If Dets Sits
will examine tho Puzzler's Column Of Sept I4th
teens that can be made out of Common pack % Of
Is equal to the number of combinations of
Sammy, have planted those hills Of corn as you
dlrected bnt got only eight hills more planted, in
ahf'i4o. fiease give me furt Ter directions.
ANSWERS TO PROBLEMS.
No. 25l.-27 acres.
/ No. z52.-I6 inches
Next two are nine Guernsey if you will arrange
Mhsy oa o I'll Sp it w not ks
No. as7.-He must be raised 1890 miles; his sight
must extend 9S24.7 miles to see London,
i No. sso.-32 perches. E.B.
WASHINGTON. o.. Oct. %. 1867.
Mr.. EDIroR:--Owing to important business,
place in the mathematical column, for which the
cas-. vii! please exonerate me from blame rather
ing the column with an approving glance. and am
we'll pleased to old friends again taking hold
new and old from the abyrinths of their mind. Also
new contributors are adding their mite along with
the printed and received By me Sa1 sas Rsee
had given the wrong answer to the problem of J. A.
correct it. should have said that would have to
grind until the stone becomes only 1884 inches in
like to say that No. a4O does not just suit nv
taste: Brother Limestone st. i, wrong on s52 pea
|
sSs
miles and his sight would have to extend 4sl7 sss
miles to see London. Solution: From center A with
4 draw diameter 9 a L; from center 4 lay off IN
,le gle "a equal 81 deg; Thea draw L perpe die
pass through the poiot in the circumference
ihs will form the right angle triangle A B. The
miles the angle equal 81 des So sdas des and aud
L equal 70 deg or X Then we h.ve the proportion
g to l. EhGs
50 deg. :; Ssss in: a B equal ess7 1925 plus
which we subtract the radius. and leaves 2s45 44ss
m,e; ans distance to which the person will have to
ard one that would not desire. '''' ''''''''"'
Problem No. 25s-s 1894 inches. The first anger
inches. | would like some one to give me q clear
Problem No. 25s-l5 inches.
Problem No. 1868 rods length. rods width. equal
ssPs ii ais as: this rain we wi" see
NAroHEz. GUERNSEY Co.. o., Oct 90, 1867
MIR. EDIroR-l heartily concur with the arrange |
giving answers week being entirely too short to
examine carefully all the problems given in the col
Welcome, welcome. MARY" Pray don't you get |
tired Of the column as soon as your sisters, Jennie
"lute-ke tones Of roguis6-eyed sixteen" i like to
read her letters: and what commune atoms Gao be
m95s 9tsrsiDg hao those relating to ihs column
He Msda hHt es1dns So% Is
the rule by which work all such problems: For the
root of the square or cube required. put
the given number. or the highest power of the un-
known quantity. may vanish from the. equation:
proSe% viii Be- Solved by u reducing il ing
The, The eaus,on. But if the unknown quantity be
letters must be assumed to denote. the root. with
and frnn oil
the rest will be determined"
Athouah this rule is rather. genera. and
leaves much to the sagacity AMI skill of the age-
braist. still upon it lay the basis of the solution
Of No. ISL. Upon this rule the solution of the
Now. in regard to this p.oblem by analysis and al
zebra this formula is found, viz: sas s27as l25 2is
l55, if the problem did not read the close thus:
is s the which
easily be overcome, With these few hints l know
amHy .ISa ny can FIJI the conditions Of the problem.
prised If they are not correct. for had time to
Problem No. s55.-Juno's distance from the sun
in round numbers is 252, 600 900 miles 1 received
ap psSss By x a0 s
revoutions are as the cubes of their Distances"
that IT, If one planet was four times as distant as
anotner II would rev0lva IN period eight times as
long for the cube of 45e4 is equal to the of
g." Ihis is an universal l,w-iti is as applicable to
No .957.-He must be raised is47 miles, Instead
of being raised INTO the atmosphere as the prob
atmosphere.
Problem sso.Length of hegarden rods; width 1
rods-36 square rods. OTIosE.
CoLLrNsyILLE. BUTLER Co.. o., Oct. =.
Mr.. EDIToR:EcI would certainly be in a bad humor
on sscount OF to get my papers were it not
statue qno. and the privilege of enjoying the time
fST the ef
don't care very much about the lizing of Ssmbo.
s sns
still he can ENJOY the entertainment, and in "suo
There is something, at least. more practical and
liberal in this way OF spending evening than in
our studio with rule and coupass, and ia olea of
giles and radii. ordinates. normals and abscissas
Indeed. since your paper has quit coming to me. the
think SAMMY is esitins to Be himself a aga yI" n?
Now. Mr.. Editor. if don't get your, or my paper
the sphere of the column and the sports Of the
mathematical g mpasium generally.
the secant line toward the center of ,ttraction In
looking over my scrap book noticed Prob em 1872
yet been solved. examined it little. a aud T think *
hat the following plan will give it. BY means of
Inscribed in the given triangle: This will give al:
titude Of rectangle equal half altitude of the
tangle meet the sides of triangle will be the points
Of tangency of the sides of the triangle to the ell
Of trisngle. Draw lines from The equal angles to
these points, and the point where they ntcrsect on
and this will determine the minor axis Half
9s
by means of right ansled triansie. Then subst-
and have not taken the time to it through yet
the Of r.
it is a case of combinations, and the number of 155
ss shs & .R %SyaS
By asyief If
he means me, the number of aTrangements then leave
forming this %ultig!iession2 9tSse Just ten Us
had It m m pd
brethren who have solved it will admit that my plan
but hSush ss.
Brother lpnis rebuke back to him. If it is the pota
to patch that is occupying all his attention.
Gurnsey. make him pastoral visit. You may get
the sad task to perform Of preaching the funeral
Alas where the seeds! Have the seeds rotted in
the ground and has the Root been broksn en- of?
WASHINGTON. Guernsey Co Oct %.
Mr.. EDIToR:-Glad to see the column again on
tip my toS to Miss Mary a and viii try
her fine question. No 2s5. next week.
three are mine and Guernssys second one: though
can guess the answer stiIl can't yet eliminate.
differ ing the period Juno reSoaton 1eSo
the extent Of several days. The following propor-
is to Square Of Juno's period so is cube Of eartbs
distance. to cube of Junos distance. My answer
Is ABOUT Zoo mlllOnF OF miles. |
Answer to proem 2s9-15 inches
The boys differ in the It answers to problem 252
QuS rectus ests
Brother +. B.-The pea of mon possuns' is on
tered very generally to your problem.
No. l3s. Please favor us with your solution.
+sE-I- .'. DELTA. |
DUBLIN. o., Oct. 81. 1857.
Mr.. EDITOR II am again present at recitation
this week. should like to see some OF our absei
ones again. Can it be possible that it requires all
the autumn days for our dear "Robin'' to find
Seeds enough to satisfy his few wan S? Come in
dear " Robin" !" the window is open, and we are to
have oysters for supper. Come, and bring pretty