...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...

...matter. Newton's law 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 distance apart." If their masses be equal, their action or velocity or power will be equal. If...

...approach each other owing to the action of force, the strength of which between any two bodies increased directly as the product of their masses, and inversely as the square of the distance between them, some explanation of the force was made necessary, and Le Sage propounded his...

...particles, 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...

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

...other 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 comparisons which I have...

...most exact and farreaching of all known laws of force. This law is : '//'•• attraction between too particles varies directly as the product of their masses, and inversely as the tquare of the distance between them. In reference to one particle, we HIT. would say that it attracts...

...other 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...

...Gravitation. — It is assumed that any body in the universe attracts any other body with an intensity which varies directly as the product of their masses and inversely as the square of the distance which separates them; also that this attraction is mutual, or that the intensity of the attraction...

...is found 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 distance...