Of GREATEST ATTRACTION. 199 
HENcE we may compare the attraction of this folid with 
that of a {phere of which the axis is AB, for the attraction of 
that {phere = ; a? xX 4. = . a. The attraction of the folid 
ADBH, (Fig. 1.) is, therefore, to that of the {phere on the fame 
axis as 47 a to 2% a, or as 6 to 5. 
5 xo 4 
VI. 
To find the content of the folid ADBH, we need only inte- 
grate the fluxionary expreflion for the content of the fhell, viz. 
ie aa. We have then = a? = the content of the folid 
3 
ADBH. Since the folidity of the fphere on the axis 4 is = 
ae 
the content of the folid ADBH is to that of the {phere on the fame 
axis as of a} to : a? that is, as = to 2? or as 8 to 5. 
VII. 
Lastty, To compare the attraction of this folid with the at- 
traction of a {phere of equal bulk, let nm = any given mafs of 
matter formed into the folid ADBH ; then for determining AB, 
we have this equation, ce a* = m, and a= m v3 3 and there- 
Bb 2 fore 
