...ina»1ometer. whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distance from each other. ' Thus if the mass of one body be six times a certain unit, and the...

...his theory of gravitation, namely that every particle of matter attracts every other particle, and he suspected that the attraction varied as the product...of their masses and inversely as the square of the distance between them. He also worked out the fluxional calculus tolerably completely: thus in a manuscript...

...particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them ; and he thence deduces the law of attraction for spherical shells of constant...

...with a force, whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distance from * See Whewell, "HM. of InditeUve Sciences," 3d (NY) Ed., I., 549. each other."*...

...direction is that of the straight line joining the two, and whose magnitude is proportional directly as the product of their masses, and inversely as the square of their mutual distance. Previous to Newton's investigations, Kepler, by a truly prodigious amount of...

...particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.' This theory receives such enormous authority from its power of explaining...

...matter in the universe attracts every other particle of matter, with a force which varies directly as the product of their masses and inversely as the square of their distance) an hypothesis which explained and will, in all probability, continue to explain certain...

...Universal Gravitation. 74. Law of Attraction. — • The attraction between two bodies varies directly as the product of their masses, and inversely as the square of the distance between their centres of mass (77). To illustrate : If the attraction between two units of...

...follows: Each particle of matter attracts any other particle with a force whose magnitude is directly as the product of their masses and inversely as the square of their distance from each other. Assume that P, and P2 are two gravitating particles, the coordinates...

...fundamental supposition that erery body must attract every other body with a force which varies directly as the product of their masses, and inversely as the square of the distance by which they are separated, Newton proved that a planet in revolving around the Sun must...