The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1875-12-17

sI5s4W
Hut the 400 acres lost s1f00o0-error, $500. In
/ the fence problem he makes tee 62 rods at 10 C.
-*46.St%: and the 3714 rods at sl.25- $46.s1L !:
yet each of them was 10 get or earn so, So he
each But the problem was absurd as stated,
and Mr.. Met may yet learn to know that it is
so when he gets 10 be Il little older.
As regards my answer to Mr.. Trout's watch
problem will say that did NOT make any cal
. culation by figuref. but merely by examining
. the face o: clock. But when | say that at 2OI3
seconcs aster o'clock, y. m., each hour bard
difference between that and the correct answer
would not make n long snot, but "a very short
onds after o'clock, y. M; its should have said
So'e;ock, p. III. Either the printer or the wri
ter made the mistake
! L consider the of A. d. H. to bis own
problem not cosrcct, according to the ratio of Troy
. TO Avordupos as given by himself. thus 516O:7e00
Then as Troy $3.50 1000 A ordupos II Troy
pois bsianees II OF Avoirdupos. it will balance
II 7-.2 o. Troy. Therefore l contend the ratio of
power t. be as to Ii 7-l2.
CHrsT SPRINGS, Dec. 10, 1875.
DEAR FREEMAN--rhe answer to Tor,.tto's
pyramidal problem is, 244s94S4 feet. 1t Is found
by describing q circle around the equilateraI
radius of the circle comedies with a line drawn
from an angle OF the base to the cent re of the
triangle, the perpendicular of which we want
/ TO mud. and we found il rs above. Because
h he s9are OF OF side OF the base is three iimcs
/ Answers TO J. c. Scanlan's probIems-The
imui,,ra , % Sn4,id nave g3ttcn = OF NE plie or
I'd. The cheese weighed II lbs
Answert to Indepcnient's problem-A bought
65 acres and paid 81 per acre. ID bought 30
acres and paid y per acre.
Answer Ia J. c. Browns prob!em--O ne trav-
cleo ~ miles per hour, and the other Travelled
Answer to George w Kaviors brobJeu-
Mans age. 80 > i3 years woman's age ~ IGz13
Also. as | came near to the answer OF the
rs = al tIUh ,lfxi,l fr,... al
/ between us. The method OF the solution was
correct. If there was little error in the decimal
through carclessncss
Here Is my contribution to the problem col
umn a has II field TN the form of IA trnpezium,
/ Two OF its sides teing parallel and the O,hcr
two equal One of the parallel sides il so and
the other 100 rods long, and each of the equal
the field into two equal fields of triangular
shape by fence running from, one angle of
! tnc hcld TO thc coppoeitc angle How many rods
of fence must he build? A. ID. II.
GALIITzIN, Dee. IL, 1875
DEAR Fireman. send answers to problems
aa follows:
J. McTamany's apple problem. IF the first
boy sold apples for cents, he sold one apple
for % of cent. aud Goxap 2-5-12o 5cts.-24c,s
Second boy: 80 apes. for cts ct: apiece.
3oXs 80 Bets. .=l0cts., BOX 80 2cts.-I5 cnts--
second boy. p cents. First boy, "a cents; second
p cents. Reason why, did not sell at The same
rate per apple. Unit is the base OF ali ma he
matecai calculations.
Master e Geo. w Kaylor's rroblem-Man's
age. 69 BIB; woman's age. 30 -l3.
j. e. Browns problcm-Onc man Travelled
~ miles per hour, aud The other travelled Az
mics per hour.
j. e Scanian's problem.-Proposed division
not correct. In taking - bushels from the
/ heap, the tenant had 30 bushels belonging to
( The landlord. In returning Is bushels from the
J heap he only returned q bushels in lien OF 80
Should have divided the balance, and then re-
turned of tenants share so bushels.
Second prOIlem.-If not mistaken I21& lbs, is
the answer.
ORIGINAL PR0BLEN.
a cannon weighing So tons cast in Pitts
bnrgh. and passed over the Pa. Il, X. during
the war. The greatest cube that could be in
scFit ed IN the bore was I0:}r,4 inches. Rcquir-
cd, The weight OF a spherical ball that would
fll the bore of said gun, allowing ball inch
in diameter TO weigh 25.9 lbs. Weight of cast
metal given by Troutwinc, or, if preferred,
Brooks. Allow iTches diameter, W eight 30 lbs.
Respectfully yours, +. j. p.
HEaLoCK, Dec. l3, 1875.
DEAR FREEMAN-I enclose you answers to
some OF the problems in your last issue:
To J. McTamany's-First boy realized "a cts;
second boy realized p cts.
To Master 6. w. kaylor's-Old mans age
% 3 II: his wife's age 30 i0-l3 years.
TOs'l s'lndependent's''- receiy ed IS s. PA acres,
and S received 81 206-2l4 acres.
Here is the answer to j. g. Trout's square
problem: