...: — " 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...

...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...

...Treatise, a may be thus enunciated. 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. Experiment shows (as will be seen further on) that the same law holds for electric and magnetic attractions...

...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 one be infinitely...

...all other points of all particles, the number of these equal forces applied between two particles, is directly as the product of their masses and inversely as the square of the distance between them, as a necessary consequence of their situation. • RJ Adcock." We embrace...

...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...

...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...masses, and inversely as the square of their distance asunder." In order to avoid confusion I shall consider all the comparisons which I have occasion herein...

...cause to the generalisation. We then say, for example, that particles attract each other directly as their masses, and inversely as the square of their distance from each other, and stop here. We do not add that gravity or anything else causes this.2 5. The last development in...

...Newton's great generalisation. 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. This statement divides itself, for proof, into a number of separate heads ; as follows : — (a) The...

...every particle of matter in the universe attracts every other particle, 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...