...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...

...the known phenomena of physical change. CHAPTER I. ON MATTER AND ETHER. 1. EVERY particle of matter attracts every other particle, with a force varying inversely as the square of the distance between them. This is the great discovery of Newton, which must form the natural starting...

...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...

...exert give rise to all the celestial phenomena. Universal Gravitation is, then, the principle that " every particle of matter in the universe attracts every other particle, with a force which is inversely poportional to the square of the distance between them" or, in other words, with...

...Newton—the last to rush from particular phenomena to general theories—in the grand cosmical law :—' Every particle of matter in the universe attracts every other particle with a force varying directly as the product of the masses and inversely as the square of the distance.' Under this law...

...the last to rush from particular phenomena to general theories— in the grand cosmical law : — ' Every particle of matter in the universe attracts every other particle with a force varying directly as the product of the masses and inversely as the square of the distance.' Under this law...

...which render it prohable that it is derivative. The law of gravitation enunciated by Newton is, that every particle of matter in the universe attracts every other particle with a force which diminishes as the square of the distance increases. Under this law a stone falls to the ground...

...identical with the law itself, and not something different from it. Thus, for example, the fact that every particle of matter in the universe attracts every other particle with a certain force, is the law of gravity. The observance is the law, and the law is the observance. There...