212 Of th SOLIDS 
Tue attraction is a maximum, therefore, when « —2—Y 17 
Sv? 
that is, when y is to x, or the radius of the bafe of the cylinder, 
to its altitude, as g—\/17 to 8, or as 5 to 8 nearly. Therefore 
allo the diameter of the bafe is to the altitude, when the at- 
traction of the cylinder is greateft, as 9 —/ 17 to 4, or as 5 ta 
4 nearly. 
5. THE attraction of the cylinder, when a maximum is now 
to be compared with that of a {phere of equal folid content. 
I+u—Vi-+av 
uz 
First, to compute the quantity , when 
a ENR}, 2 2 
u = 27 = .6096, fince u*=.37161, 1-+-+u* = 1.37161, 
and Vr w= 1.17116; fo that r+ u—Vi+u=.43844. 
Arso becaufe w°=.37161, u* =.718945; and therefore 
route _ 4384. Therefore AS aa m Ate Nite 
a3 7189 us 
ey. am m 4384 
7189 
Now, if A’ be the attration of a fphere of the folidity m, 
Aa? m X (2); and AcAts te ak. oy: , 
9 7189 9 
a 
