...regarded as concentrated at its centre. The attraction of all bodies towards the earth will therefore vary as the product of their masses, and inversely as the square of the distance from the centre of the earth, so that the weight of any body upon the surface of the earth...

...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." For a complete proof and verification of this law, even the mathematical methods...

...whose dimensions are infinitely small in comparison with the distance between them, will be directly as the product of their masses and inversely as the square of the distance between them. "That it is as the product of the masses results from the consideration that...

...is thus expressed: "Any two bodies exert upon each other a mutual attraction, which varies directly as the product of their masses, and inversely as the square of their distanceapart." If their masses be equal, their action or velocity or power will be equal. If...

...particle with a force, whose direction is that of a line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distance asunder." In order to avoid confusion I shall consider all the comparisonswhich. I have...

...particle with a force, whose direction is that of a line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distance asunder." In order to avoid confusion I shall consider all the comparisonswhich I have...

...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 each other. Experiment shows (as will be seen further on) that the same law holds...

...particle vMh 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 each other. This statement divides itself, for proof, into a number of separate...

....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 distance from each other. This statement divides itself, for proof, into a number of separate...

...particle of matter in the universe attracts every other put tide, with an intensity which varies directly as the product of their masses, and inversely as the square of the distance which separates them. Newton deduced this law from his investigations of the relative acceleration...