C *-«5 ] 
IV. In the Difcourfe I had the Honour of commu- 
nicating to the Royal Society, being then at 
Torneo , printed in the Thilofophical Tranfatfions, 
N° I have demonftrated this Propofition as to a 
homogeneous Spheroid 5 and the faiue Reafoning will 1 
obtain in this Cafe alfo. . 
Problem IIL 
To find the Attraction which the Spheroid Be be 
(Fig. 2.) exerts upon a Corpufcle placed at any 
point N of the Superficies. 
V. We will make, as above, BC=e > CE=e+e^' 
and alfo CN^e + eA, and half the Conjugate Dia- 
meter of CN will be CG~e+ea— eAi whence the 
Radius of a Circle, equal in Superficies to the Ellipfis 
FG, will be a mean proportional between CE and 
and CG, that is to fay, e + e<x~-~eA. Therefore the 
Spheroid BE be exerts the fame Attrattion at N, as 
would be exerted at the Pole of a Spheroid NGOF, 
(Fig. 3.) of which the principal Axis would be 
NO = 2e+2eA, and the^fecond would be to the 
Principal as 1 A to 1. 
Therefore in theExpreffion of the Attraction at the 
Pole, (Art. III.) we muft fubftitute e+eA inftead of 
e, and a — ~A inftead of But if f and g muft no 
longer be the fame 5 for we may eafily perceive by the 
foregoing Theorem , that the Denfity muft be the fame 
in this Spheroid NGOF, at the Diftance r+r A from 
the Centre, as it is in the Spheroid BE be at the 
Diftance 
