...always with results completely confirmatory of Newton's statement of the law of gravitation, namely, every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly proportional to...

...second and third laws, combined with his own principles, the grand theory of universal gravitation, that every particle of matter in the universe attracts every^ other .particle with a force whose direction is that of the line joining the two, and whose magnit^<,de is directly as the product...

...POTENTIAL. SECTION I. Solid Distributions of Matter in General. 229. Universal Law of Attraction.—Every particle of matter in the universe attracts every other particle with a force whose direction is that of the line joining the two particles, and whose magnitude is directly proportional...

...conversant with the subject, " What do you understand by every particle of matter in the universe attracting every other particle, with a force varying inversely, as the square of their mutual distances, and directly as the mass of the attracting particles ?"* The answer given is...

...investigations of free thought with respect to the mechanism of the heavens. His general law was announced, that "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 stone back to itself — an instance of a general law, one operation of an ever-active force. For every particle of matter in the universe * attracts every other particle with a force proportional to the product of their masses, and increasing as the square of the distance decreases....

...preceding pages — minute physical points of matter, acting totally independent of the great law: — "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...

...produce any important effect. We are thus led to the law of universal gravitation, expressed as follows : Every particle of matter in the universe attracts every other particle with a force directly as their masses, and inversely as the square of the distance which separates them. § 2. Gravitation...

...the kind of Judgments here alluded to. Take, for instance, the law of universal gravitation, — that 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 kind of Judgments here alluded to. Take, for instance, the law of universal gravitation, — that every particle of matter in the universe attracts every other particle with a force directly proportioned to the massoflAe attracting particle, and inversely to the square of the distance...