...answered by Newton, who came to the conclusion that every particle of matter attracts every other particle with a force proportional to the product of their masses, and inversely proportional to the square of their distances. But this only drives the mystery of gravitation from...

...answered by Newton, who came to the conclusion that every particle of matter attracts every other particle with a force proportional to the product of their masses, and inversely proportional to the square of their distances. But this only drives the mystery of gravitation from...

...answered by Newton, who came to the conclusion that every particle of matter attracts every other particle with a force proportional to the product of their masses, and inversely proportional to the square of their distances. But this only drives the mystery of gravitation from...

...and if all these centres attract each other, the force between any two being proportional directly to the product of their masses and inversely to the square of the distance between them ; — then, if we suppose each body of the solar system to have been projected...

...asserts that any two particles of matter attract one another with a force which is proportional directly to the product of their masses, and inversely to the square of their distance apart. The evidence in favour of this law is mainly derived from the consideration of the elliptic...

...mutual action is such that, if free to move, they approach each other with a force which is proportional to the product of their masses and inversely to the square of their distance apart, ie (1) where 7 is simply a constant of proportionality. It may be proved without much difficulty...

...were manifest ; and the hypothesis was that their motions might be due to their attracting one another with a force proportional to the product of their masses and inversely proportional to the squares of the distances between them. In the Ptolemaic Astronomy, again, there...

...force which acts along the line joining the two particles, and whose magnitude is proportional directly to the product of their masses and inversely to the square of the distance between them. The proportionality expressed in this law may be stated algebraically as...

...law of gravitation, which expresses that the force between any two bodies is proportional directly to the product of their masses and inversely to the square of their distance. We have one further supposition to make, and it is an important one. We shall assume that though each...

...into the dynamical one, that the sun attracts the different planets with forces proportional directly to the product of their masses and inversely to the square of their distances from itself. From this we may pass to Newton's great generalization: Every particle of matter...