The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1876-02-18
Our I'ttzsle DeDOr;71s

FEBRUARY IA, IS7e.
DEAR FREEMAS-In regard to the solutions 10
grindStone problem by a. ID. H., he will easily
perceive that he did Injustice to T. FOR ar,er th.
stone being worn down to the angles Of the spin
die hole there remained of the stone 4 scxmentE
which were useless 10 c for the purpose So in
stead of deducting from area or face the sGi.atc
oi 3 the square of the hypothenuse OF ofspindlelole
which would be 3o,37 inches; then proceed with
the work In the manner pointed out by A. ID. III.
share In Justice and b ground more than his
Sfarc by 5.TSS inches, face surface Nodoubt IL
| slight oversight OF A. u. IL. and have merely
rendcrs what caused the discrepancy between his
how work it so to jbrire oft the correct answer
Also. IL A. ID. H. will make draft of his trape-
zoda field a true scale then describe an arc of
circle having one of the acute angles as centre
and the diagonal the radius, that the periphery
gle will fall outside the field. or line 90 until II
reaches sSi'hin 10 or l. rods of this acute angle.
Is shorter tl;an the diagonal.
am sorry that A. ID. H.. who is certainly expert
in tie answer to .Iorctto's'' tin kettle, as he
calls II. He lnils in the top or greater diameter
preserving the shape 50 as to be in the form OF
frustrum or cone, as was required to lie done
believe he overlooked the stating OF the problem
for feel satisfied he can solve 1t correctly.
Now. solutions to las: weeks problems: First
second OF them iirst--'rhc deer weighed l22I4 lbs
2d. At the end of one miles iI.clindtiOn, 2o feet
20 10, o. e4fh @ the Chalk op e; viii T 70
far as the carriage. unics: rubbed off in the mean
time Te,y simple too, At tine nth, which was
his FIRST he sceied tp be getting moonish, and
SAYS. "No,c take cnre." l will take hi. advice by
keeping clear OF he moon. and will also keep clear
of "CiOd Jumpers" crOosfd ,rIiiscN except to say
that don't know what he means ny space between
every barrel If he had said between every two
poetical problem Is 16 6O5 feet. Now let him hop
among his c. ooked I whisky barreIs and he may
I think As inches the side of the cubic box that
may DC constructed from A. D. HIS plank, but 1
! he 81 i've of howl lie
N B. Those sending problems should answer
CREST SPRINGS, Feb. I2, 1875.
DEAR FEgENAN-"Rob Roy" said in your last
issue that r. F. Ms answer to his plow ing prob.
lem was Che only correct one. Now, 1 cohtend
rm ne c onc whe @ was SEM u, py me Was the
obliged TO him or Rob Roy If either would show
Rob Roy's" second problem answer us follows;
In The r5t d day there was Gu, on from tho width of
| day, E2e8 1867 rods; and so or, diminishing the
carry it out to u terms If had time. The divI-
dcnd is 10 acres. and the first divider is $50 rods
1t might he made a little more accurate by sub
| tracing the two end pieces from 10 acres every
: timo,
The road varies 20 4oos feet to mile IRON n
perpendicular line.
The education OF an orphan cost alsoo.
The mark on the carriage wheel will go 4So. 1862
S16 yds. moro than a mile
1t would take 1sls3e 81 IA hbls. to rench from
New York to Chicago under the specified condl-
| tions.
The diameter ofthc circle is "e47 feet
In the moon question the man who weighed ls0
lb.- Mt the surface of the earth would weigh
twentieth OF ID, the distance Of the moon and
as the man would attract him with only one
sixtieth of the po,scr of the earth the moon alone
would cause him TO weigh lbs. and lbs, minus
one,twentieth of a lh gives 30 lbs. for weight
of the man a. surface Of the moon.
PROBLEM.
! There is circular island whose circumference
| is encompassed by n railroad. A tortoise. a man
and an engine start at the same time from n Ger
| tain point. The tortoise goes mile day. the
many miles will the engine have to go In order to
get half way between the tortoise and the man :.
a. ID. II.
| FErRrAkr TO- 1870
! "any person is liable to mistakesH and boiIeye
row that made three of them In the solutions
sent you occurred by roniounding time and vorS.
! thus: days moving by G was equal to one-half
| ing hy added, which wsuld equal 1921 of field
moved In non one {. day by g ana by - mistake In work
! will show synopsis Of the operation, snd if
! 1t and show the result work 1t ar follows:
DAY. DAYS.
| a mows field in 7-Szs-314 moving hcld times
| b ruows held in I-514=4 As moving field times
| c movs field In 22lx4=4 s-2l moving n field /.
| times as large:
/. n \
times as large.
! Then = moved ope-fourth of 1t and d moved X
days both added-s5-I2S of fold, and from take
95-l lss and 33 i"s remains for a and & to IL
A mows the field In 314 days, he will NOV two
sevcntiIs of IT in day 1fC nows the field in As
2l-92-33! e+4-l days moving by AMI Ctogethcr
Then 53i-6iI 3S-isS : day 2l252- 4-3cS day,
or b3i3i 05e, day by A and & to finish So think
t3i o'02 of a day is the correct answer-beng a
little over a day. Yours, &c, LoRETTo.
CHEST SPRINGS, FEB. 8, 1876
DEAR FREEMAN-"Loretto" seems to think hat
my solution to the clock pendulum problem is
wrong, because 10 minutes is Liza of 1.-THE
Whole "A years " hat.2l years does he mea n 2
] would advise him to take more notice to the
problems before he makes remark. on the solu-
tions given by other persons. do not pretend to
full understand the science of pendulun:., and L
wait for a demonstration from A. ID. II.
II A, n II. refers to the grindstone problem, be
Will notice that the price of the ndstonc is S3
therefore his solution is not correct.
will submit the following solution to IIoretto's
enlarged kettle q 0S inches depth, 81 o37s inches
diameter OF larger end. Yours, E. T. NJ,
HEMLoCK, Fer. is. 1873
DEAR FRsENAS-I enclose you answer to somo
OF the problems in your last issue:
To "Rob Roy's deer problem-1221x lbs.
To "ROb Roy's' education problem 4l SEQ each.
To A. ID: HIS plank problems feet SO inches.
To Clod Hoppcr's' Ist--I Dps. .5Oe 3,-s7 bbls.
inches.
lady being asked the time, replied that two
thirds of the time past noon equals two-nnths of
the time to midnight. What time WASH
Yours SC, J. y. Brown,
N1OTICE OF DISSOLUTION