...reads as 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...

...Starting with the 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...

...statement 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 deduced the law of attraction for spherical shells of constant...

...force whose direction is that of a straight line joining the two, and whose magnitude is proportional directly as the product of their masses, and inversely as the square of mutual distance. He first showed that if the sun attracts the earth, the direction of this force must...

...that " 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." It is sometimes popularly stated that Newton discovered " Gravity," and " explained...

...has greater density ? [See Chap. V.] Law of Gravitation. 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. We often speak of the larger body's attracting the smaller,...

...fundamental dynamic postulate, "Between each pair of particles exists a stress directly proportional to the product of their masses and inversely as the square of the distance between them," as to seek to evolve a fundamental postulate of the laws of Spirit from the...

...it is only 0.23 times as dense. 90. Law of Gravitation. — The mutual attraction between two bodies varies directly as the product of their masses, and inversely as the square of the distance between their centers of mass. For example, doubling this product doubles the attraction ;...

...Universal Gravitation is as follows : — 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 centroids.* Representing the masses of two bodies by m and m', the distance...

...it is only 0.23 times as dense. 90. Law of Gravitation. — The mutual attraction between two bodies varies directly as the product of their masses, and inversely as the square of the distance between their centers of mass. For example, doubling this product doubles the attraction ;...