The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1876-03-10
Our Pu<S!e Department.
CREssEY STATION, Merced Co.. Cal.

tNESSEf CNAIloN, 0o. ttf-s
Feb. -, 1876.
DEAR FREEMAN--Thea answers 70 my questions
and indeed 10 a'l the questions in your Puzzle
Department., are so much at variance That J
am impeled to write a longer letter than usual
Ef'st, then, in regard to the two glne piows;
IL is evident that the last half OF the last round
is strais hit drive for both teams. as there could
he no inducement for either team TO turn
around. all the ground being plowed; hence
there is onefourth OF a rod lost by the first or
leading team.
Second, i'm regard to the chalk mark on the
feIloe of a carriage wheel. il ia evident that the
chalk mark will travel farther than the carriage
as the former moves in n curved line while the
carriage moves i'm a direct line. Take a piece
of pliahle wire and make n circle thirteen IN
ches in diameter, then press it into An cilipse'
making one diameter, sixteen feet and halr.
aud the semi -circumference OF that ciiipse VIII
Allow a foot for an Inch and you will have the
distanc" in feet which the chalk mark travels
while the carriage goes forward sixteen ana u
half feet, or one turn of a wheel five rect IN d.
ameter, or course | am leaving out the frac-
items In this illustration. The moon makes 81
similar curve as it revolvcs around the earth,
while the earth: like the cnrriage, moves direct
moon travels la ther than the earth. as IL goes
T cen times und it while the earth makes
one annual revolution.
7Tird, as to piowing 2l3 acres in twelve days
and 20 ucres n day, "Lorctto" gave the correct
answers, but wanted the question solved by
ithmetic. I do NOT unfersitnd "a. ID. X. 50 60
luton. He must have got the wrong data
ID. n. is nearly correct IL the man was weighed
with spring balance, but il weighed by scale
weigh just 1s9 lbs, beca usc the moons atirac-
ton in that acts on two points-on the
man and on the weight on the onpositt balance
with equal force. Say, for inftauc-, that on
the earth you have a $50 los. metal weight on
remove the whole machinery to the moon. ard
its attraction. which pulls only Ito ~ hard on
the man pulls only Leo as hard on the weight
opposite: therefore they would balance each
other and the man wouii still weigh $50 lbs.
Yet If he could jump four feet hiyh on the
he could jump two hundred and forty feet high.
nal hat IL N.4f; - IN
compared with what il did To educate orphans
OF Revo!utionary times, or ls.s lines. II cost
about thirty dollars TO educate the orphans
leach ont.) or the Revolutionary war. Ny faith
er only spent thirty dollars on me- and my ed
Sil1h. The door question affords e good illus
/ tTation. showing that in proportion the product
Of the mesOs equals the product of the eT-
trpmps. which is not universally understood, RS
/ notice a differences of r,sul:s in the solutions
gwen. think there was y ttItt III every qIIes-
! ton proposed; but i'll order TO be more point
ed pgopose the following:
LIST. what lS the nvers &c increase in the
eugfh Of day, from Doc Il 10 June Il, in lati-
| tuie 50 degrees north? , ..
tuda in So degrees north latitude. given In sta
| These Two are TO be solved without the use
! OF the cusne or any function nF the circle.
81. How far does tn; moon travel in space
distance of the earth from the sun being 93,o0O,-
/ 60 mites ard the distance of the moon being
ting correction Of errors. f"r obliquity OF orbits
and attraction OF other bodies?
1lD. D'HtS. Win OHt-nd'l vi IL anu
&C, makes 800. i','s money. with Third OF
A.'S and C.'s, makes 500. C.'s money, with
one-fourtn ot As and BIS, make 800. How
much money has each?
5th. II the grass ON 10 acres; together with
wiIst grows thereon, VIII f,~d horses months,
how many acres of grass tnYpther with " hat
grows thereon VIII feed sc horses months?
9Th. Ono stick - three ip~h"s sQUnre and
! foot long; anothe" is , iD~t;-s squire and
foot long. and thc third is = turned stict In
chns in diameter and | fcOt long. Wanted to
know where to cut said 'ieiis. so that each
shall contain the sarne nuinter OF solid inches
fth. II pay in3 million dollars interest in
gold, and the uiIies prouiirr only G3 millions in
gold annually. how long before we can resume
specie reymedt6g Rob Roy.