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Volume III.
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2

A P P E ND I X.

ply this hy the Fluxion of the Distancey — ? Cx + 2X ', we shall have A

whole Fluent ilT y i§ proportional

^ „ n A 0 s

the Attraction of any Segment B ^

the Globe upon the Particle P. x

7. Hence, when x=2r, the E*P

C T " 1 th^

lion will become — or simply -r~r> 10

3 b b b b j t

Attraction of the whole Globe. When^^

appears, that the attractive Forces off}^^

Bodies are to one another in a Ratio cotnp 01 ^-. s

of their Quantities of Matter direSlly-> dtl eS

the Squares of the D fiances from their P erl f

inversely. And therefore since the No# 1

of Particles only, and their Distance

the Centre enter the Expression of the * ^

it is plain the Effect will be the fame nf^

a Corpuscle P placed any where without .

Surface of the Globe, as if the whole

of Matter were Contracted into a Point at

Centre. Q. E.D. £

8. To apply this: If all the Mat te ^^

the Earth were contracted into the

and the Waters of the Ocean were to ^

tinue their diurnal Rotation the ^ C a e d

they now do, they would then be aste .

Earth aUftloon

in. the fame Manner by the