...it has been discovered that all the phases of both phenomena can be perfectly explained, by assuming that every particle of matter in the universe attracts every other particle with a force varying directly as the mass and inversely as the square of the distance. So also the ripples on the...

...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,...

...these causes 120 ATTRACTIONS AND LAPLACE'S FUNCTIONS. 1. THE Law of Universal Gravitation teaches us, that every particle of matter in the universe attracts every other particle of matter with a force varying directly as the mass of the attracting particle and inversely as the...

...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...

...is 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...

...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...

...thus 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 a force which diminishes...

...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...

...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...

...is 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...