I 2 94 3 
t be Values of f,g,p,q, &c. This may deferve our 
Attention, and the Proof is thus : 
XXII. Becaufe the Ratio of the Gravity to the Cen- 
trifugal Force is very great, and is exprefs'd by m, in 
the Equation A we may rejed the third and fourth 
Terms , by which means the Equation will be reduced 
f , g 4 mfa ( 4mga 
tothis, ? _|_ p ? _j_ q 3 + PX5+P 3+q*5+q 
And if from this Equation we deduce the Value either 
of f or g, and fubftitute it in the Equation B.; (having 
firft reje&ed the firft and fourth Terms of the Deno- 
minator, as in this Cafe may be done) we (hall have 
after the Calculation is made, whatever is the Num- 
ber of Terms in the Equation of the Denfities, 
/ .7 
p — P TO or P — J a, by .putting 280 for 
p 4 m P IT 5 
The .Figure -of m > » r , h « b ? en lon S known. 
the spheroid being It is eahly feen from this Equation, 
known, the Aug - ' 
mentation of Gra - that when cc is determined, E— 
'vityfrom theEqua- P 
tor to the Vole will will be lo too, which was the 
be known alfo', and thing, propofed to be proved, 
y^vicevefla. 
XXIII. But from this Equation there follows a very 
lingular Proportion, and which, in fome fort, is con- 
trary to the Sentiments of Sir Ifaac Newton , Page 
430. of the 3d Edition of his Principles. And this 
is, that if by Obfervation it fhall be difeoverd , that 
the Earth is flatter than according to the Spheroid 
4>f Sir Ifaac, that is , if the Diameter of the Equa- 
tor exceeds the Axis by more than the tjo Dart, the 
■Gravity 
