The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1876-03-03
Our PuSSte Department.
CHEST SPRINGS, Feb. &c, 1873.


CHEST SpRIsGs, Feb &c, 1915.
fEAR FREEMAS-we will commence this
As ''siniiar solids are to each other as the
cubes uf their like dimensions" i3 gallons, or
} of second, so is The cnbe OF top diameter Of
FIRST kettle to cube of top diameter of 'Loret-
.s inches or may % be- shortened 9i thns f yIu
: l4.7ioD cubed t2i.2) cubed. The other dimen-
Correctly found on former occasion, sup
pose it is unnecessary To rereat the process
Tue area of "Lorettos" hald is IL acres,
rods and % perces.
. The terpendcuar of E. F. NJ g triangle is fs1s
.eet hypothenuse, ,2las feet. T. f. NJ second
problem is a little complicated. / would like
rne soy %I SScn OF the ena 90 eoe is
cubic feet, and that of the small one IS 1.5l0s
to each osSer ' stc sno we nd ihe sebt Of
small cone to be feet, and l. feet, or height of
of tank next represent one side OF the itom
OF the tnnk by Z, and tho other, by plus =, mui-
! square plus r. or the area Of the base OF the
: tank and that multiplied by feet, the depih.
quadratic equation and iO9a5s cubic feet or
the area OF base by the depth. gives the other
SIDE OF the equation. which may be readily
solved.
The only drawback to its solution, I think. is
the obscurity OF the figures which represent
the depth Please give that clearly aud we
will try il next time.
A butcher wishing to buy some sheep, asked
the owner how much he must give him for 20.
On hearing his price he said it was too much.
, The owner replied that he should have 10, pro-
y.ded he woH;d "a give him cent for each differ
emf eh9iee 3i OF 20 IN 70 to which he agreed How
much did he pay Tor the 10 sheep, according to
the bargain!
That abroad is go miles around. So, al.
| right go ahead" A.D, IL.
r. S. "Loretto" was not correct in his an
swer to the circular railroad problem. After
the engine had made the trip to the starting
point asain it would have to gain 6JT miles to
get at equal distance between the man and the
tortoise, and il it has to go 20 miles to gain
l4s1 half miles. the question is, how far will it
have to go beyond the stsrting point to gain 81
TO cx plain little the engine gains is: miles
in day on the tortoise. on the man it gains
ii2i naIf mIrsMihen as ma7 iss :: .aS to the the
number OF miles which the engine has to go
past the starting point to get equal distances
between the men and the tortoise.
FEBRUARY g, 1870.
DEAN FRErMAS-Again I have to Complain
about mistakes ny the printer. In my solution
10 4. ID. HIS tortoise, man and engine problem,
made tho answer rs 4sa-,os miles and sent it
80; but the printer made il 30 4e6- 7Oe which is
snits, problem, hnd it 5sia iO59e OF day by a.
ana Il o"f hf Prnssf mt, ,xr mde n it Ss 9 sun Ill
it. AS feel somewh hut tenacious ia this case,
would like A. d. II; would review his work,
Snits decide 10y giving tho true answer, IL he
In regard to Z. F. Ms tank problem. pre-
sumo the printer made mistake in the giving
g, "; Inc a"p,h OF the w water in the tank be
sVO0 which reduced. would equal over feet
deep Of water in the tank prior to the placing
OF the cone theroin; whereas there could not
be over feet OF water a1trr the cone was
$1,000 feet the depth OF th- water before the
cone WAS placed in the tank then in that case
luton would be feet deep. 6 feet long, and
Answer to f. F. Ms second problem: The
, perpendcuar WAS ls2s feet, and the hypot hem
use was 2Iss feet.
As Ia Rob Roys chalk MARK, must say that
did not pay much attention to it. for con-
stdered he had sent it as a hurlesque on us
mountnincers; hut now that A. D. II. brings it
TO notire again see was mistaken in my idea
ofit; worsinE Ri, itfhmrriedly make the be chalk
, whi'e the carriage went $50 feet. LoHErTo.
CHEST SPRINGS. Feb. 2s, 1876
DEAR FREEMAS-As some OF the contributors
| to your Puzzle Department. appear Ia be get
begin to feel u little that way myself. Hence
am sorry that it hurts A. ID. HIS feelings to be
that he did not amy OF my SOLUTIONS t" prob
Icms, as it prevented him from having the
, pleasure OF criticizing me IA little" Aud.
: lastly, | m.orry that hc did not avail himself
nnon ,he si kettle ,G Gf'1s % ss m
ing I" make him feel happier. and not desiring
cent solurivns, will send some answers to
problems for nii to criticize. Feeling much
answer to his kettle problem was not correct,
,nc,n snSmt nh he fol@Srg: as cd nc T.p diameter s
Answer To A. ID. III. g cubic box constructed
from plank IS feet long II inches wido and
inches thick: Side 49.167 inches.
| In my first problem Of last weeks issue, the
depth OF water in tank did not appear In print
us intended. II should have been 570S3.- O. 90
! feet-a little more than S IS feet, Please cor
rect. Yours, &C., L. r. NJ.
! CHEST SPRINGS, Feb. ~ 1870.
DEAR FRHENAN-I imagine hut may be mis-
taken. that the following solution will give the
! quietus to that everlasting trapezoid question:;
| yet "Loretto' is like the "Nillagc Master in
, Gol1smith's poem. Tor. "e'en though vanQuisil-
cd, he can a-gue STILL" After finding the by
pothenuses Jf innumucrehle small tris nglcs
! founG that the line common to both u, Ids is
e1.45 rods, aud the Other sides OF the first field
, are 40 rods. so roGs and rods, respectively,
} while those of the second are 100 rods, 81 rods
and the common sid0.
The answer to that plank problem Is found
! bv mutt, plying the length In inches by the
width then dividing by and extracting the
| square root Of the Quotient, To which last add
the thickness aud you have the side of the
cubicai box. ] thought il would do no harm
cx plain u lii tie, Ms some didn't get it right.
The length ~ seconds Pendulum is 80 10
inches ncuriy, aud i'm "a hours there $500
seconds; also. in 10 minutes there 600
onds then twice 900 seconds multiplied 10y 81 10
aud divided by $500, gives .543 or one half inch
nearly. A. ID. III.
\ GREAT NATIONAL WORK.