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. 4. And therefore if another body of the same specific gravity,
incapable of condensation, be immersed in this fluid, it will acquire
no motion by the pressure of the incumbent weight: it will neither
descend nor ascend, nor change its figure. If it be spherical, it will
remain so, notwithstanding the pressure; if it be square, it will
remain square; and that, whether it be soft or fluid; whether it swims
freely in the fluid, or lies at the bottom. For any internal part of
a fluid is in the same state with the submersed body; and the case of
all submersed bodies that have the same magnitude, figure, and specific
gravity, is alike. If a submersed body, retaining its weight, should
dissolve and put on the form of a fluid, this body, if before it would
have ascended, descended, or from any pressure assume a new figure,
would now likewise ascend, descend, or put on a new figure; and that,
because its gravity and the other causes of its motion remain. But (by
Case 5, Prop. XIX) it would now be at rest, and retain its figure.
Therefore also in the former case.
COR. 5. Therefore a body that is specifically heavier than a fluid
contiguous to it will sink; and that which is specifically lighter will
ascend, and attain so much motion and change of figure as that excess
or defect of gravity is able to produce. For that excess or defect
is the same thing as an impulse, by which a body, otherwise in
equilibrio with the parts of the fluid, is acted on; and may be
compared with the excess or defect of a weight in one of the scales of
a balance.
Public-domain text, read in full here on John Shaqi.
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