214 ) Of the SOLIDS 
Tue altitude of the cylinder is therefore : of the radius, 
or 2 of the diameter of the {phere, which is Lr Sace’s Theo- 
re) 
rem. 
Tus cylinder is alfo known to be equal in folidity to the 
{phere ; but its attraction is not greater than that of the latter, 
becaufe the proportion of its altitude to the diameter of its 
bafe is not that which gives the greateft attraction. Its alti- 
tude is to the diameter of its bafe, as r to 27, or 4to 63 in 
order to have the greateft effect, it muft be as 4 to 5 nearly, 
a aaa tem oho therefore, that the form of the one of 
thefe cylinders is confiderably different from that of the other, 
their attractions are very nearly equal; the one of them being 
the fame with that of the fphere, and the other greater than it 
by about the 183d part. On each fide of the form which gives 
the maximum of attraction, there may be great variations of 
figure, without much change in the attracting force. A fimi- 
lar property belongs to all quantities near their greateft or leaft 
ftate, but feems to hold efpecially in what regards the attrac- 
tion of bodies. 
XIV. 
In confidering the attraction of the Mountain Shehallien, 
in fuch a manner as to make a due allowance for the heteroge-- 
neity of the mafs, it became neceflary to determine the attrac- 
tion of a half cylinder, or of any fector of a cylinder, on a 
point fituated in its axis, in a given direction, at right angles 
t to 
