The rest of the planets must be subject to this general law; and if this
law exists, these planets must follow the laws which Kepler discovered.
All these laws, all these relations are indeed observed by the planets
with the utmost exactness; therefore, the power of attraction causes all
the planets to gravitate towards the sun, in like manner as the moon
gravitates towards our globe.
Finally, as in all bodies re-action is equal to action, it is certain
that the earth gravitates also towards the moon; and that the sun
gravitates towards both. That every one of the satellites of Saturn
gravitates towards the other four, and the other four towards it; all
five towards Saturn, and Saturn towards all. That it is the same with
regard to Jupiter; and that all these globes are attracted by the sun,
which is reciprocally attracted by them.
This power of gravitation acts proportionably to the quantity of matter
in bodies, a truth which Sir Isaac has demonstrated by experiments. This
new discovery has been of use to show that the sun (the centre of the
planetary system) attracts them all in a direct ratio of their quantity
of matter combined with their nearness. From hence Sir Isaac, rising by
degrees to discoveries which seemed not to be formed for the human mind,
is bold enough to compute the quantity of matter contained in the sun and
in every planet; and in this manner shows, from the simple laws of
mechanics, that every celestial globe ought necessarily to be where it is
placed.
His bare principle of the laws of gravitation accounts for all the
apparent inequalities in the course of the celestial globes. The
variations of the moon are a necessary consequence of those laws.
Moreover, the reason is evidently seen why the nodes of the moon perform
their revolutions in nineteen years, and those of the earth in about
twenty-six thousand. The several appearances observed in the tides are
also a very simple effect of this attraction. The proximity of the moon,
when at the full, and when it is new, and its distance in the quadratures
or quarters, combined with the action of the sun, exhibit a sensible
reason why the ocean swells and sinks.
After having shown by his sublime theory the course and inequalities of
the planets, he subjects comets to the same law. The orbit of these
fires (unknown for so great a series of years), which was the terror of
mankind and the rock against which philosophy split, placed by Aristotle
below the moon, and sent back by Descartes above the sphere of Saturn, is
at last placed in its proper seat by Sir Isaac Newton.
He proves that comets are solid bodies which move in the sphere of the
sun's activity, and that they describe an ellipsis so very eccentric, and
so near to parabolas, that certain comets must take up above five hundred
years in their revolution.