[A History of Science Volume 2(of 5) by Henry Smith Williams]@TWC D-Link bookA History of Science Volume 2(of 5) BOOK II 303/368
But, without all doubt, the nature of gravity towards the planets is the same as towards the earth.
For, should we imagine our terrestrial bodies removed to the orb of the moon, and there, together with the moon, deprived of all motion, to be let go, so as to fall together towards the earth, it is certain, from what we have demonstrated before, that, in equal times, they would describe equal spaces with the moon, and of consequence are to the moon, in quantity and matter, as their weights to its weight. "Moreover, since the satellites of Jupiter perform their revolutions in times which observe the sesquiplicate proportion of their distances from Jupiter's centre, their accelerative gravities towards Jupiter will be reciprocally as the square of their distances from Jupiter's centre--that is, equal, at equal distances.
And, therefore, these satellites, if supposed to fall TOWARDS JUPITER from equal heights, would describe equal spaces in equal times, in like manner as heavy bodies do on our earth.
And, by the same argument, if the circumsolar planets were supposed to be let fall at equal distances from the sun, they would, in their descent towards the sun, describe equal spaces in equal times.
But forces which equally accelerate unequal bodies must be as those bodies--that is to say, the weights of the planets (TOWARDS THE SUN) must be as their quantities of matter.
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