Doctor hutton’s Determination of the 
bced, perpendicular to the planes abd 
and ade, the attraction on a body at 
a in the direction ab, is equal to the 
conftant quantity sr ; where s = fin. 
cbac and s = fin. -<bad, to the ra- 
dius T. 
For, firft, fince the magnitude of the flowing flec- 
tion is every where as a h z , and the attraction of the 
particles of matter inverfely as the fame, or as ; 
therefore their product or — ^ or i (a conftant quantity) 
is as the force of attraction of bced. 
Then to find what that quantity is. Put ab = a, and 
bc=v; then bd or ce (the diftance between the two 
planes at the diftance ab) is = as. Now the force of a 
particle in the line ce is as ~ in the direction ac, and 
AO 
AB 
therefore it is as — in the direction ab ; confequently 
the force of the whole lineola ce in the direction ab 
AB . CE 
IS 
AC* 
and therefore the fluxion of the force of the 
flection bced or / is 
and the fluent gives / 
attraction itfelf. 
AB . CE 
AC 3 
. BC = 
a . as . x 
asx 
71 3 
7 + 71 * ’ 
a z -f* x I 
, = s x ~ = js for the 
3. To 
