[ 16 ] 
cerning the figure of the earth ; and who, after hav- 
ing perufed the book, and difcover’d the above mif- 
take of F. Frifi, fent me the above theorem, and its 
demonstration. He likewife fent me the following 
theorems, which, he fays, he had communicated to 
M. de Bremond, in the year 1740, when he w^as 
translating his treatife on failing : But M. de Bremond 
dying toon after, thofe, who had the care of publith- 
ing the translation, printed it incorreCt in feveral 
places j particularly the theorems for the prolate fphe- 
roid : On which account, he fays, if they are thought 
worth preferving, they may be inferted in the Pkilo- 
phical Pranfaclions. 
Pojljcript. 
Theorems for computing the ratio of the attractive 
force of a Spheroid, at its pole or equator, to that 
of the inferibed or circumfcribed Sphere. 
1. In an oblate Spheroid, the ratio is, 
Pole 
1 + 
1 « 
m 2 
Equator „ 
. m 2 — 
ix A : 
2. In a prolate Spheroid, the ratio is, 
Pole !_ -^+== 2 ^x 7 :} ] 
1 — I 1 - if* i I 
] m X / * d 1 
Equator J [m 1 — 1 ’ - rcCTBi X / : 7 J 
In 
