1 24 Mr. Ivory on the figure requisite to maintain the equilibrium 
every case when a fluid in equilibrio covers, either entirely or 
partially, the surface of any body, however variable in struc- 
ture or density. Now, from the equation, we get, 
V(R) 
R 1 
■O' 
R z ’ C ’ 
and, as it has been proved in §. 1, that is always a func- 
tion of three rectangular co-ordinates of a point in the sur- 
face of a sphere, it follows thatch, and consequently R, must 
be like functions. This inference, being founded on consi- 
derations of the most general nature, cannot but include 
every case of a fluid in equilibrio, placed upon the surface of 
a revolving body. 
Again, suppose that R / is the radius of any level surface 
which contains the attracted point within it; and let V, (r) 
denote the sum of all the molecules of the fluid within the 
level surface, divided by their respective distances from the 
attracted point: then, 
V(r) — V,(r) 
will be the sum of the molecules in the stratum of fluid con- 
tained between the outer surface and the level surface, di- 
vided by their respective distances from the attracted point ; 
and the attractive forces of the stratum upon the attracted 
point in the directions of a, b, c, will be respectively, 
d. f V(r)—V,(r)j 
dc 
