as are terminated by Planes , &c. 
3°i 
A = D ■ i* . t D being a function of m ; 
(j**+r*)T 
hence the truth of the proposition is manifest. And because 
the equation of the curve generating the solid of revolution of 
greatest attraction (on the same hypotheses of force and den- 
sity) has been shewn to be — ■ -j= C = o, we have the 
following remarkable 
Theorem. 
m being any whole positive number, and the density either uni- 
form or as any function of x and T, the same curve which, by 
revolving, generates the solid of revolution of greatest attraction , 
when the force is inversely as the mth power, shall be the base of 
the infinitely long cylinder of greatest attraction, when the force is 
inversely as the [m J r ith) power. 
Numberless other interesting questions might be proposed, 
relating to solids of greatest attraction ; for instance, we may 
inquire what must be the curve bounding the base of a cy- 
linder of given mass and length so that it shall exercise the 
greatest action in a direction parallel to its axis. 
But as this kind of inquiry proceeds exactly in the same way 
as the other (only we must use the attraction B, instead of A, 
in Prop, i), it is unnecessary to lengthen a paper which has 
already been extended too far. 
MDCCCXII. 
Rr 
