...gravitation " ? It is necessary in order to understand it, to quote Newton's law, which asserts that "every particle 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 as the product of...

...(especially the Third Book), which comprehends all the essentials of 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 the two, and whose magnitude is directly as the product...

...solve the problem we have to appeal to Newton's law of universal gravitation. This law teaches us that every particle of matter in the universe attracts every other particle with a force which is directly proportional to the mass, and inversely proportional to the square of the distance...

...to the higher mathematics showed that all the facts would be accounted for by the following law : " Every particle of matter in the universe attracts every other particle with a force proportioned directly to the mass (or quantity of matter) and inversely to the square of the distance...

...be swept over by a line joining the sun and the planet, in the equal times, would all be equal. 7. Every particle of matter in .the universe attracts every other particle with a force varying directly as the product of the masses acted •upon and inversely as the square of the distances...

...leave for the conception of law in nature ? Translate into the language of his theory the law that every particle of matter in the universe attracts every other particle with a force which is inversely proportional to the square of their distances. Edinburgh, MA Honours, 1884. 883....

...assigned by Kepler's laws is that of universal gravitation, which is thus enunciated by Isaac Newton: That 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...

...the contradiction of the mechanical theory. " Every particle of matter in the universe," it says, " attracts every other particle with a force directly...and inversely to the square of the distance between them." Without this idea of attraction, — this conception of one body acting upon another at a distance,...

...well as between the molecules constituting a single body. Newcomb tersely defines it as follows : " Every particle of matter in the universe attracts every other particle with a force directly as their masses, and inversely as the square of the distance which separates them." (Pop. Astr. [6th...

...accepted by the common sense of intelligent men. I postulate first — Newton's law of gravitation, that every particle of matter in the universe attracts every other particle with a force directly as the mass and inversely as the square of the distance. It will be well to pause and consider this...