...surface. For this purpose, he reasoned on his law of universal gravitation, which may be thus stated; ' Every particle of matter in the universe attracts every other particle, with a force varying inversely as the square of the distance.' Reasoning on this law, he calculated, from the effect...

...results from gravitation. The great Newton discovered and established the law of universal gravitation, " that every particle of matter in the universe attracts every other particle, with a force varying inversely as the square of the distance :" by which is meant, that if a body be attracted by...

...that case, the general law applies in its strict wording." — Sir John Herschefs Astronomy p. 237. " Every particle of matter in the universe attracts...particle with a force directly proportioned to the mas of the attracting particle, and inversely to the square of the distance between them." — Ibid,...

...planetary motions, the velocities of falling bodies, &c., would have frequent occasion to mention the fact that " every particle of matter in the universe attracts every other particle with a force proportional, &c. &c." But this would be extremely troublesome, and even difficult to introduce intelligibly....

...constitution; this being, of course, only a particular case of Newton's law of gravitation, which tells us that every particle of matter in the universe attracts every other particle with a force which depends on their masses and on the distances which separate them; the attraction being proportionately...

...gravitation and attraction, by which all bodies, liquid or solid, are governed. Newton's words are — " Every particle of matter in the universe attracts...particle with a force directly proportioned to the mass (and density) of the attracting particle, and inversely to the square of the distance between them...

...opinion of astronomers. Sir John F. Herschel, in referring to Newton's law of gravitation, says — " Every particle of matter in the universe attracts...directly proportioned to the mass of the attracting partiele, and inversely to the square of the distance between them." And again — " It is in consequence...

...when you see it on record. It is the theory of universal gravitation — the grand generalization, that every particle of matter in the universe, attracts every other particle of matter with a force or power directly proportioned to the quantity of matter in each, and decreasing...

...future 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...

...leave the labors of a few computations to a friend. When they were completed, the law which proved, that "every particle of matter in the universe, attracts every other particle of matter, with a force or power, directly proportioned to the quantity of matter. in each, and decreasing...