of the water in the middle, which arises from the gravity
of the under
fluid: for since, as I shewed
before, if there were no gravity in the under
fluid,
or that it were equal to that of the upper, the terminating
Surface would be
Spherical, and since it is
the additional pressure of the gravity of water that
makes it so flat, it follows, that the pressure upon
the middle must be greater then towards the sides.
Hence the Ball having a stronger pressure against
that side of it which respects the middle of the
superficies,
then against that which respects the
approximate
side, must necessarily move towards that part, from
whence it finds least resistance, and so be
accelerated,
as the resistance decrease. Hence the more the
water is raised under that part of its way it is passing
above the middle, the faster it is moved: And
therefore you will find it to move faster in E then
in D, and in D then in C. Neither could I find the
floating substance to be moved at all, until it were
placed upon some part of the
Superficies that
was sensibly elevated above the height of the middle
part. Now that this may be the true cause, you
may try with a blown Bladder, and an exactly round
Ball upon a very smooth side of some pliable body,
as
Horn or
Quicksilver. For if the Ball
be placed under a part of the Bladder which is upon
one side of the middle of its pressure, and you press
strongly against the Bladder, you shall find the Ball
moved from the middle towards the sides.
Having therefore shewn the reason of the motion of
any float towards the sides, the reason of the incursion
of any two floating bodies will easily appear:
For the rising of the water against the sides of either
of them, is an Argument sufficient, to shew the pressure
of the Air to be there less, then it is further from
it, where it is not so much elevated; and therefore
the reason of the motion of the other toward it, will
be the same as towards the side of the Glass, only
here from the same reason, they are mutually moved
toward each other, whereas the side of the Glass in
the former remains fixt. If also you gently fill
the Jar so full with water, that the water is protuberant
above the sides, the same piece of Cork that before
did hasten towards the sides, does now fly from it
as fast towards the middle of the Superficies; the
reason of which will be found no other then this,
that the pressure of the Air is stronger against the
sides of the Superficies G and H, then against the
middle I; for since, as I shewed before, the Principle
of congruity would make the terminating Surface Spherical,
and that the flatting of the Surface in the middle
is from the abatement of the waters pressure outwards,
by the contrary indeavour of its gravity; it follows
that the pressure in the middle must be less then
on the sides; and therefore the consecution will be
the same as in the former. It is very odd to
one that considers not the reason of it, to see two