[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 305/368
But the orbits of the satellites are concentric to Jupiter, and therefore the accelerative gravities of Jupiter and of all its satellites towards the sun, at equal distances from the sun, are as their several quantities of matter; and the weights of the moon and of the earth towards the sun are either none, or accurately proportional to the masses of matter which they contain. "COR.
5 .-- The power of gravity is of a different nature from the power of magnetism; for the magnetic attraction is not as the matter attracted.
Some bodies are attracted more by the magnet; others less; most bodies not at all.
The power of magnetism in one and the same body may be increased and diminished; and is sometimes far stronger, for the quantity of matter, than the power of gravity; and in receding from the magnet decreases not in the duplicate, but almost in the triplicate proportion of the distance, as nearly as I could judge from some rude observations. "PROPOSITION VII., THEOREM VII. "That there is a power of gravity tending to all bodies, proportional to the several quantities of matter which they contain. "That all the planets mutually gravitate one towards another we have proved before; as well as that the force of gravity towards every one of them considered apart, is reciprocally as the square of the distance of places from the centre of the planet.
And thence it follows, that the gravity tending towards all the planets is proportional to the matter which they contain. "Moreover, since all the parts of any planet A gravitates towards any other planet B; and the gravity of every part is to the gravity of the whole as the matter of the part is to the matter of the whole; and to every action corresponds a reaction; therefore the planet B will, on the other hand, gravitate towards all the parts of planet A, and its gravity towards any one part will be to the gravity towards the whole as the matter of the part to the matter of the whole.
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