The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1876-02-04
Our IuSzte Department.
CHEST SPRINGS. Jan. 20. 1875.

DEAR FRERNAM-B. c. DIS cone auf globe
investigation this time. The globe sinks far
enough into the cone to displacc 223 59J5o15 Gu
The grindstone will next be Disposed OF. AS
"surf4ccs are TO each other as the SQUARES Of
two circular rings which are to be ground OF,
s sde the 81 aea drans
proportion 10 the Payments made by each man
The whole stone cost zoo dollars, Of which A
paid "a, B SO. and SD dollars: and dividing
Of s5 Wei we ind @ s sas % grind3 OF 81 81
inches, 397. 1915 and 24s 2125 square inches.
area Of circle left after dcducting W hat grinds
off, is radius OF large CIRCLE to radius OF small
of rUlius which grinds on, etc, which gives
S4g inches from radius, 5.512 inches and G
field in 81 days, b in So of a day c in 49, and
ID in Zig days! After B has done one-r fourth
of the field there would remain of field four
nsS fimss as large part equal TO is.i OF tho first
SI-s OF the field; ;.and rs 4 and C can do: HI
. n aag " i w1Hd ,st9 hsm as ,s ID d'.
~ldch gives 1897 1876 Of a day.
,.Ih The board will have to be cnt Oh feet INCHES
from the point; that Is, taking the dimensions
The height OF the stump of F. J. BIS tree is
long
To find tho specific gravity of Tint log add
55 to As ounces, which gives the weight Of the
united mass in air, from which subtract the
loss of weight of the compound mass, ffom
which substract the loss OF weight OF TIE lead
and you have the loss OF weight OF the wood, or
the weight of quantity of water equal in size
10 the piece OF wood: divide that weight into
It's specific gravity. The log contained ls5 Gu
bic feet; spec fc gravity sjsI ounces to the
cubic foot, and the whole log weighed 4 TONS
10 cwt gr., 10 lbs. o2s
Tho ,oro. pRoB,EM
stand at height of q inches. while at lhe eur
ince ace or the earth it stands at 20 inches, What
rs the eieVa.ion or the balloon?
ursi.respectfully, A, d. III.
JANUARY 81. 1875.
DEAR FREESAN--Permit to ofrer n little
towards filling up your "Puzzlc Department."
First will make few remarks on solutions al
ready published and then will give you nv an
swers to some or the problems in last weeks
issue.
lad II. will examine little closer he will
see that his solution to the division Of his trape-
zi1m ,,nt GrIpfzoid it should have Leen called is
both helds longer than he has made the diagon-
again"
The solutions to the clock pendulum problem
by E. +. VI. and myself differ materially. He
makes it that the pendulum must be shortened
Lila of its length. strd the time lost by the clock
doing it may be right. but hnv, doubts about
it. Will some one or your readers who is better
vcrsed in the science OF clock pendulums than
/ am give decisive solution
Now to solutions to last weeks problems:
and if that is not the correct answer Bonnycas-
ties rule is not correct.
ance Of held in o2s50- 120Ss days No. 1.-THE
board must be cut 4.2426iOos1 feet from small
Sd TO F. ]. B.'s-43 feet, inches, stump; ie
feet, inches. part broken OF.
4th. Grindstone-A ground G.G.5. B l0.311 c
l20l3 inches OF the diameter, the spindle taking
5th. The Conicai Glase-The sphere displaced
2i0.lf6 cubic inches or the water.
9th; The Tinker's Prohlem-The larger diam
etcr "a 1902, the smaller 14.7i0I inches.
The tinker's question is rather ancient and I
presume the most oe school boys have learned
out of it: IL the tinker were asked 70 enlarge
the kettle to hold in ale gallons one less than
two score, by adding TO the larger end prcserv-
ing ing the irastrum r., regular, what would be the
diameter OF ,tarKer end and depth of the ketteS
p 5 haye not tried the quilt problem, one
the arrangement of the figures as given. thus
2.63-16 yards square. Another reason is that /
school marms," who know more about quilts
and quit p'ecins than the rest of mankind. L.
CHEST SPRINGS Jan. 81, 1915
DEAR FREEAANEThe following are my an
swers to some OF the problems in last weeks
Answer to Hans Snits' Problem No. s-The
hoard must be cut 50.elI6sS incnes from the
AS F. =. requests it, will give my solution
Base I5x -225 eO-a5 difference half sum a
-l25 half DIFF 6. .25 feet length of part br oxen
Off. 45-l.25-43.75 feet height of part left stand
PROBLEM NO.
If from a triangle whose three sides are 13 IA
and Is feet be cut off by line parallel to the
longest side triangle whose area is "a square
iect,.wnat the sides OF this Triangle!
PROBLEM q. 2.
One gentleman meeting another and enquir- |
ing the time past II O'Clock receiyed for an
swer 17-lo Of the time from now to midnight
What oclock in the afternoon wasit q?
Yours, +. F. NJ.
WILMORE, Jan, 81, 1876.
DEAR FREEMAM-"Loretto" tries to convict !
me of a Rrievous error in the pigeon question, /
and also endeavors to evade the real issue !
In the first place. my orthosraphy was correct /
as wrote tredccillions. 1t was simply d typo /
graphical error, something similar to his pure
stlck- and III he was possessed of ordinary in |
teitigence he might have inferred that much. /
Secondly did not state the number as my es- |
innate. but merely the remark of who |
thought he knew, Thirdly, it's none of my /
business where the pigeons found food but as |
II is about the only original problem, except !
Rob Roys which has appeared in the Puzzle J
Department l would Ii ke some OF the contribu- }
tors to that column to solve it. 4 nd as a fur 7
tner incentive ! offer az additional premium ,
q $50 confederate bill.
Yours, &C., WILNoRE.
Dr. Fiuucy's COmpOund syrup or Rn. !