Of GREATEST ATTRACTION, i 9 j 



Hence we may compare the attraction of this folid with 

 that of a fphere of which the axis is AB, for the attraction of 



that fphere z= J a= x — zz — a. The attraction of the folid 

 r 6 a % 3 



ADBH, (Fig. i.) is, therefore, to that of the fphere on the fame 



axis as — a to — - a, or as 6 to 5. 

 5 3 



VL 



To find the content of the folid ADBH, we need only inte- 

 grate the fluxionary expreffion for the content of the fhell, viz. 



£5 a a. We have then £— a 3 = the content of the folid 

 5 *5 



ADBH. Since the folidity of the fphere on the axis a is = 1 a , 

 the content of the folid ADBH is to that of the fphere on the fame 



axis as — a 1 to % a 1 j that is, as £■ to ^, or as 8 to 5. 

 IS 6 15 t D 



VII. 



Lastly, To compare the attraction of this folid with the at- 

 traction of a fphere of equal bulk, let m zz any given mafs of 

 matter formed into the folid ADBH ; then for determining: AB, 



we have this equation, ^- a* — m> and a — m y -£ ; and there- 



15 4t 



B b 2 fore 



