[ »8o ] 
Part I. 
la which are found the Laws of Attraction, 
which are exerted upon Bodies at a Di- 
ftance, by a Spheroid compos'd of Orbs of 
different Degrees of Denfity. 
Problem I. 
To find the Attraction which a homogeneous Sphe - 
roid BNEbe, (Tab. i. Fig. i.) differing but very 
little from a Sphere , exerts upon a Corpufcle placed 
at A in the Axis of Revolution . 
I. We may conceive the Space BNEbDMB, in- 
cluded between the Spheroid and the Sphere, to be 
divided into an infinite Number of Sections perpen- 
dicular to the Axe ACb. Suppofing then that every 
one of the Particles, which are contain’d in one ot 
thefe Elements or Moments N nmM, exerts the fame 
Quantity of Attraction upon the Body at A, which 
may be fuppos’d becaufe of the Smallnefs of N M 5 
, \ye fhali have c^PM 8 X ^P x ^n^ f° r Attraction 
of any one of thefe Elements 5 putting c for the Ratio 
pf the Circumference to the Radius, and a for the 
given Ratio of M N tg> P M ? that is, of D E to CD. 
Now if we make CA=Le, CB=r, AM — z$ and 
for PM, AP, Pp, if we fubftitute their Values ex- 
prefs’d by z, and then feek the Fluent of the forego- 
ing Quantity $ we fhali have i £11!— for the 
0 ^ 3.ee fe 4 
Value 
