$14 Mr. Cavendish’s Experiments to determine 
portional to 
b 3 
a x + z 2 l*) 7 - 
a, and the force of that attraction to move 
the arm, is proportional to and the weight of the 
deal rod and wire at the point x, was before said to be 
73»3 48 “ '' 642 ' t3 Z ' P er inch ’ an d therefore, if d x flows, 
the fluxion of the power to move the arm = / z x - l6 f 2 + . i8 4 8 - 
7 3’3 
b 3 xi—z b 3 zx 82 i-f-i 03 2;^-9245: a 
+~^=rr^| = * x 821 + 924% x 
a a •+ z 3 - 
& 3 a: X 821 + 103 z + 
a*+Pz*\* 
<^4* ^ ?j * 
924 a 5 
/ a 
924 b 3 ZY.—+Z 1 
a % ^-l' L 2*] a 
b 3 z x 89$ 1°3 * 924 6 3 i 
I0 3 & 3 1 
/Vfl a 4 -/ a z a "1“ 
P)/a z +l*z* * 
103 S 3 924 & 3 
a 2 4 -/ a 
The fluent of this 
; which, as -=■ = ,08 = 
895 b 3 z 
log. 
lz-\- */a* 4-/ a x 2 
a**/a 7, +l 1 z 2, 
-, and the force 
/ a a P 
with which the attraction of the weight, on the nearest half of 
the deal rod and wire, tends to move the arm, is proportional 
to this fluent generated while z flows from o to 1, that is, to 
128 grains. 
The force with which the attraction of the weight on the 
7 3 
end-piece de tends to move the arm, is proportional to 47 x — 3i 
or 2 9 grains ; and therefore the whole power of the weight to 
move the arm, by means of its attraction on the nearest part 
thereof, is equal to its attraction on 157 grains placed at 6, 
which is - - ^ 6 " , or >0139 of its attraction on the ball. 
It must be observed, that the effect of the attraction of the 
weight on the whole arm is rather less than this, as its attrac- 
tion on the farther half draws it the contrary way ; but, as the 
attraction on this is small, in comparison of its attraction on the 
hearer half, it may be disregarded. 
