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its center, in the time of one fiderial day. This mo- 
tion he finds to be = 2 1 - 2 - 9 - x x 3 6o°. Then, 
in order to infer from thence, the motion of the equi- 
noctial points of the earth itfelf, he, firft, diminifhes 
that quantity, in the ratio of 2 to y : Becaufe (as is> 
demonflrated by Sir Ifaac Newton in his 2d Lemma) 
the whole force of all the particles fituated without the 
furface of a fphere, infcribed in the fpheroid, to turn 
the body about its center, will be only a-5ths of the 
force of an equal number of particles uniformly dif- 
pofed round the whole circumference of the equator, 
in the fafhion of a ring. The quantity 
x -x x 360°) thus arifing, will, therefore, ex- 
prefs the true motion of the equinoctial points of a 
ring, equal in quantity of matter to the excefs of the 
whole earth above the infcribed fphere, when the force 
whereby the ring tends to turn about its diameter is 
fuppofed equal to the force whereby the earth itfelf 
tends to turn about the lame diameter, in confequence 
of the fun’s attraction. Thus far our author agrees 
with Sir Ifaac Newton 5 but, in deriving from hence 
the motion of the equinoctial points of the earth itfelf, 
he differs from him ; and, in the corollary to his third 
Lemma, afiigns the reafons, why he thinks Sir Ifaac 
Newton, in this particular, has wandered a little from, 
the truth. Inflead of diminifhing the quantity above 
exhibited (as Sir Ifaac has done) in the ratio of all the 
motion in the ring to the motion in the whole earth, 
he diminifhes it in the ratio of the motion of all the 
matter above the furface of the infcribed fphere to the 
motion of the whole earth : which matter, tho’ equal 
Vo l. 50. I i i to 
