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Hydrostatics.

proprio Loco; or, a Fluid weighs the famecommunicating with a Quantity of thatFluid, as in Vacuo ; which all Philosophers(till very lately) have denied (LII).

III. From

2 53

7 c c c c

Circle would be to that of the Square as^-ww to —^

88 i6 *

7 i ,

or as j-r to —, that is, as 14 to 11.

88 16

6. Now since a Sphere may be considered as madeup of circular Areas, it plainly follows, that a Spherewill contain a greater Quantity of Matter under thefame Surface than any other Solid. Thus a Sphere willbe found by Calculation to be more than twice as big'as a Cube of the fame Surface ; and therefore the Watercontained in the Globe mult, when the Figure of theGlobe was altered, be either compressed into a lessSpace, or make its Way through the Pores of theGlobe, as in the Experiment we find it will ; whichtherefore evinces its lncompressbility.

7. Some Philosophers are inclined to think that Wa-ter is not absolutely incompressible, or that the Par-ticles thereof do not touch each other ; but are kept ata Distance by a centrifugal Force superior to anyForce we can apply in compressing them. But becausethis is an Hypothesis that has scarce any thing more thanbare Possibility to recommend it, at least nothing isoffered to render it probable or necessary ; therefore weare not to admit it among the Principles of the New-tonian Philosophy.

(LII) 1. That Fluids gravitate, or are heavy, inthe same Manner with Solids, is evident, because theEarth’s Attraction, which is the Cause of Gravity,equally affects the Particles of all Sorts of Matter; andtherefore excites the same Endeavour or Tendency to-wards the Centre of the Earth in the Particles of aFluid, as in those of a solid Body ; and this is what wecall their Absolute Gravity.

2. Now since in Fluids of the same Kind, as Wa+ter, all the Particles are reasonably supposed equal and

alike