GENERAL POEMUUC. -' "' 



Kimi'T n were condensed at its centre* 



wing part of the fint 



sphriv ; th- *4cond t phcrc will !* 



. 



nn it a.l if tin* 



ecoii ollected at iU centre. Similarly, the 



attrn any other f the first ] 



tecond will !* the same as if the second were collected at 



its cot 1 ; thu, we find that the whole acti 



the t: .- nn the second is the same as if the second 

 nod at its centre, ai re the mutual attrac- 



H is the same as if each were collected 



law of attract at of the direct distance, 



two bodies of any shape attract each <>th. T with a resultant 

 force which is the same as if each were collected at its < 



proceed to general formulae for the attraction of bodies 

 of any form. 



333 I . : there be a body of anv let p represent the 



' an elcni y, r 



;ites of the element. " 



;i.- j-:irti.-l.'s of masses m and m respectively, at a 

 ice r, to be mm' F(r) ; tlu-n the compoii 

 paral axes, and from t -.>, i tin- att: 



the body on a particle whose mass is unity, and co-ordinates 

 a, A, c are i'- . .0 equations 



r being -[(*-)'+ (y-J)'+ (, -. 



intcgretiona are to be taken so M to include all the ele- 

 ments of the attracting body. 



