Newton's Principia : $b The mathematical principles of natural philosophyNewton, Isaac
General
Newton's Principia : $b The mathematical principles of natural philosophy
Newton, Isaac
Celestial mechanics -- Early works to 1800; Mechanics -- Early works to 1800
COR. 6. Therefore bodies placed in fluids have a twofold gravity; the
one true and absolute, the other apparent, vulgar, and comparative.
Absolute gravity is the whole force with which the body tends
downwards; relative and vulgar gravity is the excess of gravity with
which the body tends downwards more than the ambient fluid. By the
first kind of gravity the parts of all fluids and bodies gravitate in
their proper places; and therefore their weights taken together compose
the weight of the whole. For the whole taken together is heavy, as may
be experienced in vessels full of liquor; and the weight of the whole
is equal to the weights of all the parts, and is therefore composed of
them. By the other kind of gravity bodies do not gravitate in their
places; that is, compared with one another, they do not preponderate,
but, hindering one another's endeavours to descend, remain in their
proper places, as if they were not heavy. Those things which are in
the air, and do not preponderate, are commonly looked on as not heavy.
Those which do preponderate are commonly reckoned heavy, in as much as
they are not sustained by the weight of the air. The common weights
are nothing else but the excess of the true weights above the weight
of the air. Hence also, vulgarly, those things are called light which
are less heavy, and, by yielding to the preponderating air, mount
upwards. But these are only comparatively light and not truly so,
because they descend in vacuo. Thus, in water, bodies which, by
their greater or[Pg 297] less gravity, descend or ascend, are comparatively
and apparently heavy or light; and their comparative and apparent
gravity or levity is the excess or defect by which their true gravity
either exceeds the gravity of the water or is exceeded by it. But those
things which neither by preponderating descend, nor, by yielding to the
preponderating fluid, ascend, although by their true weight they do
increase the weight of the whole, yet comparatively, and in the sense
of the vulgar, they do not gravitate in the water. For these cases are
alike demonstrated.
COR. 7. These things which have been demonstrated concerning gravity
take place in any other centripetal forces.
COR. 8. Therefore if the medium in which any body moves be acted on
either by its own gravity, or by any other centripetal force, and the
body be urged more powerfully by the same force; the difference of the
forces is that very motive force, which, in the foregoing Propositions,
I have considered as a centripetal force. But if the body be more
lightly urged by that force, the difference of the forces becomes a
centrifugal force, and is to be considered as such.
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