...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,...

...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 between...

...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...

...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...

...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...

...would be urged by both powers, and therefore too much urged and forced inwards from her path. (445.) It is on such an argument that Newton is understood...particle, and inversely to the square of the distance betwcen them." In this abstract and general form, however, the proposition is not applicable to the...