Of GREATEST ATTRACTION. 199 
being on one fide of a plane, and the particle at a given di- 
ftance from the fame plane on the oppofite fide. The mafs of 
matter which is to compofe the folid being given, it is required 
to conftruct the folid. 
Ler the particle to be attracted be at A (Fig. 3.), from A draw 
AA’ perpendicular to the given plane, and let EF be any ftraight 
line in that plane, drawn through the point A’; it is evident 
that the axis of the folid required muft be in AA’ produced. 
Let B be the vertex of the folid, then it will be\demonftrated 
as has been done above, that this folid is generated by the re- 
volution of the curve of equal attraction, (that of which 
4 2 : : 
the equation is y* = a? x = — x’), about the axis of which one 
extremity is at A, and of which the length muft be found from 
the quantity of matter in the folid. 
Tue folid required, then, is a fegment of the folid of great- 
eft attraction, having B for its vertex, and a circle, of which 
A'E or A’ F is the radius, for its bafe. 
To find the folid content of fuch a fegment, CD being =y, 
BB 44 
and AC= x, we have y* = 43 x7 —x’,and cy 4# = 7a? x? § — 
«x % = the cylinder which is the element of the folid feg- 
ment. 
THEREFORE f xy %, or the folid fegment intercepted be- 
tween B and D muft be z rain? — ia +C. This mutt 
vanifh when « = 4, or when G comes to B, and therefore C = 
ar fs 2 
