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
ascent thereof towards the sides of the vessel proved its endeavour
to recede from the axis; and this endeavour showed the real circular
motion of the water perpetually increasing, till it had acquired its
greatest quantity, when the water rested relatively in the vessel. And
therefore this endeavour does not depend upon any translation of the
water in respect of the ambient bodies, nor can true circular motion be
defined by such translation. There is only one real circular motion of
any one revolving body, corresponding to only one power of endeavouring
to recede from its axis of motion, as its proper and adequate effect;
but relative motions, in one and the same body, are innumerable,
according to the various relations it bears to external bodies, and
like other relations, are altogether destitute of any real effect, any
otherwise than they may perhaps partake of that one only true motion.
And therefore in their system who suppose that our heavens, revolving
below the sphere of the fixed stars, carry the planets along with them;
the several parts of those heavens, and the planets, which are indeed
relatively at rest in their heavens, do yet really move. For they
change their position one to another (which never happens to bodies
truly at rest), and being carried together with their heavens, partake
of their motions, and as parts of revolving wholes, endeavour to recede
from the axis of their motions.
Wherefore relative quantities are not the quantities themselves, whose
names they bear, but those sensible measures of them (either accurate
or inaccurate), which are commonly used instead of the measured
quantities themselves. And if the meaning of words is to be determined
by their[Pg 82] use, then by the names time, space, place and motion, their
measures are properly to be understood; and the expression will be
unusual, and purely mathematical, if the measured quantities themselves
are meant. Upon which account, they do strain the sacred writings, who
there interpret those words for the measured quantities. Nor do those
less defile the purity of mathematical and philosophical truths, who
confound real quantities themselves with their relations and vulgar
measures.
Public-domain text, read in full here on John Shaqi.
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