...instance, and provisionally, his law of universal gravitation, which may be thus abstractly stated : — " Every particle of matter in the universe attracts every other particle, with a force directly proportioned to the mass of the attracting particle, and inversely to the square of the distance...

...advancement in the study of Celestial Mechanics. Already the sublime truth announced by Newton, that every particle of matter in the universe attracts every other particle with a force varying reciprocally as the squares of their mutual distances, has been realised in tbe motions of...

...Apple to his feet and established the memorable, universal Law ; namely, that, every individual partick of matter in the universe attracts every other particle, with a. force, directly as the mass of the attracting particle, and inversely as the squares of their distances. And...

...velocity of projection, and that the magnitude and form of the orbit is calculable. He who announced that every particle of matter in the universe attracts every other particle, with a force varying inversely as the square of the distance, and directly as the mass, ivas not ignorant of, or...

...which counteracts the centrifugal force of bodies in motion. Stated abstractedly, that law is this : " Every particle of matter in the universe attracts every other particle, with a force di;ly proportioned to the mass of the attracting particle, .- inversely to the square of the distance...

...mechanical forces. 1. Universal gravitation. — The principle known as universal gravitation is this, that every particle of matter in the universe attracts every other particle with a force which varies inversely as the square of the distance, ie, when the distance is doubled, the force is...

...terrestrial gravitation, previously established, he arrived at a still more general conclusion, namely, that every particle of matter in the universe attracts every other particle with a force proportional to the product of their masses directly, and the square of their mutual distance inversely,...

...bodies are attracted towards its centre. By that universal attraction (of gravitation) by which ? " Every particle of matter in the universe attracts every other particle, with a force directly proportioned to the mass of the attracting particle, and inversely to the square of the distance...

...afterwards mentioned, Newton is understood to have at first rested his law of universal gravitation : ' Every particle of matter in the universe attracts every other particle with a force directly proportioned to the mass of the attracting particle, and inversely to the square of the distance...

...subject to one source of great uncertainty. Newton laid down the law of universal gravitation, " That every particle of matter in the universe attracts every other particle with a force directly proportionate to the mass of the attracting particle, and inversely to the square of the distance...