The first, called Kepler’s law, is thus defined: “All movement is
naturally rectilinear and uniform; that is to say, any body subject to
the action of a single force which acts upon it instantaneously, moves
constantly in a straight line with invariable speed.” It has been said
that this law is derived from the principle of sufficient reason. The
body must continue in a straight line because there is no reason why it
should deviate from it more on one side than on the other. But, answers
Comte, how do we know that there is no reason for the body to deviate,
except precisely because we see that it does not deviate? The reasoning
“reduces itself to the repetition in abstract terms of the fact itself,
and to saying that bodies have a natural tendency to move in a straight
line, which is precisely the proposition which we have to establish.”
It is by similar arguments that the philosophers of antiquity, and
especially Aristotle, had, on the contrary been led to regard circular
motion as natural to the stars, in that it is the most perfect of all,
a conception which is only the abstract enunciation of a imperfectly
analysed phenomenon. The tendency of bodies to move in a straight line
with constant speed is known to us by experience.
The second fundamental law of mechanics, called Newton’s law,
expresses the constant equality of action and reaction. It is pretty
generally agreed to-day to consider this law as resulting from the
observation of facts. Newton himself understood it so.
Public-domain text, read in full here on John Shaqi.
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