...particle of matter in the F1G. 5. universe attracts every other particle with a force ina»1ometer. whose direction is that of the line joining the two,...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 other body nine times, the whole...

...everywhere to exist : — The attraction between every two bodies of matter in the universe varies directly as the product of their masses, and inversely as the square of the distance between their centers of gravity. Representing the masses of two bodies by m and m', the...

...History of mathematics, London, 1888. 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...

...unit of force. The law of gravitation is, that the attraction between two material particles varies directly as the product of their masses, and inversely as the square oi the distance between them. Hence, if mj, m., denote the masses of two particles expressed in terms...

...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...

...must be sought through the second part of the law, as may be seen from the law as stated in full. " Every particle of matter in the universe attracts...and inversely as the square of their distance from * See Whewell, "HM. of InditeUve Sciences," 3d (NY) Ed., I., 549. each other."* This brings us to the...

...in its orbit round the earth, and, in fact, he formulated his theory of Universal Gravitation 'that every particle of matter in the universe attracts...their masses, and inversely as the square of their distances from each other.' This theory receives such enormous authority from its power of explaining...

...force whose direction is that of the line joining the two, and whose magnitude is directly as tlie product of their masses, and inversely as the square...same law holds for electric and magnetic attractions under properly defined conditions. 459. For the special applications of Statical principles to special...

...attracts every other particle with a force whose direction is that of the line joining the two, awl whose magnitude is directly as the product of their...inversely as the square of their distance from each other. This statement is made in terms of attraction : — ie force. Such a form is convenient for our present...

...force whose 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 labour,...