...rule: " Every particle of matter in the universe attracts every other particle with a force varying directly as the product of their masses, and inversely as the square of the distance between them."]; This is the law of universal gravitation — the law that once grasped...

...concentrated at its centre) seems to be, that the attraction of all bodies toward the earth varies as the product of their masses, and inversely as the square of the distance from the centre of the earth. Experiments with magnets are said to have disclosed the...

...particle of matter in the universe attracts every other particle with a force whose direction is that of a line joining the two, and whose magnitude is directly...as the square of their distance from each other." We know that we ourselves and the things about us are pulled toward the earth by a force (weight) which...

...one general law of gravitation, namely, that the force of attraction between any two particles varies directly as the product of their masses and inversely as the square of their distances. This law was first tested by applying it to the moon's motion about the earth ; and the...

...that every 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...

...that every particle of matter attracts every other particle, and suspected that the attraction varied as the product of their masses and inversely as the square of the distance between them : but it is certain that he did not then know what the attraction of a spherical...

...Principia—of the law of gravitation : Every particle of matter in the universe attracts every other particle with a force whose direction is that of the line joining...inversely as the square of their distance from each other.—Properties of Matter (vii.), p. no. The phenomenon is thus measurable, directly according...

...is as follows: The gravitation stress between every two particles of matter in the universe varies directly as the product of their masses, and inversely as the square of the distance between them. If the masses of two particles be represented by m and m', the distance...

...gravitation. Newton's law of universal gravitation states that "the attraction between any two bodies varies as the product of their masses and inversely as the square of the distance between their centers of mass." For instance, if two bodies, A and B , weigh 100 pounds...

...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 " — this is the generalisation known as the Law of Gravitation.* Another way of phrasing...