Refolution of attractive Powers. i 8 y 
tlon of theabfcifs Ap will be equal to that in the contrary direc- 
tion the force in the direftion (PA) = ax C - — X 
S vJF+f x F : + /)) = W» ill which F : (s/u \ s 
the fundtion of the diftance, according to which the given 
force on the particles varies; the fluent 
Uy 
(u z + f) 
X F : 
v/<X +y*yis contained between the values o and y / -f + a —if} 
of the quantity y 9 and the fluent W is contained between the 
values a and y/(ff + r 2 ) of the quantity u , where rz~PA and r 
the radius of the circle ; but the fame force is = 2 ><3,14 159 
&c. x f au X F : (&), where F : ( u ) denotes the given function 
of the diftance («), and the fluent is contained between the 
values a and s/ a + r z of u. 
PROBLEM III. 
To find the attraction of a given folid on a given point P« 
Find the attradfion of every parallel fedtion on that point by 
the preceding problem, and multiply it into the correfpondent 
fluxion of the fir ft abfciffa AP, and alfo find the fluent of the 
refulting fluxion, which, properly corrected, multiply into the 
fine of the angle, which the fir ft abfciffa makes with the paral- 
lel lections, and the produdt will be proportional to the attrac- 
tion of the folid on the given point P. 
2. Fig. 4. Let the folid ABCH be generated by the rotation 
of a given curve round its axis AB, which paffes through the 
point attradled P, and this folid be fuppofed to confift of fmall 
evanefcent folids, whofe bafes are the furfaces EF, ef &c. of 
fpheres, of which the center is P, and altitudes Ff &c. the 
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