...equations of motion are formed on the assumed truth of Newton's law of universal gravitation, " that every particle of matter in the universe attracts every other particle with a force which is proportional to the mass of the attracting particle directly and to the square of the distance...

...Mathematica," commonly known as the "Principia," in which all these facts are summed up in the statement that " 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...

...»' = the number performed by the latter ; then it will be found that 2 £>3 : £?'•i ; or, n=. 10. Every particle of matter in the universe attracts every other particle with a strength which is proportional to the quantity of matter which is in each mass, and inversely to the...

...law is illustrated by Tait's statement, based upon Newton's Principia, of the law of gravitation : 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...

...love one another as I have loved you ' ; ' Every particle of matter in the universe,' said Newton, 'attracts every other particle with a force directly...particle, and inversely to the square of the distance,' are the two monumental deliverances in human knowledge, and the Law of Love in the sphere of metaphysics...

...Newton, upon which the science of the mathematics of our scientists is based. His axiom or law is this: "Every particle of matter in the universe attracts every other particle with a force varying directly as the masses, and inversely as the square of the distance." This axiom or law, however,...

...Newton's formula in evidence as follows : '' Every particle of matter in the universe is attracted to every other particle with a force directly proportioned to the mass of the attracting particles, and inversely as the square of the distance between them." In this formula we have a statement...

...these bodies. In its universality, then, this simple but all-comprehensive law may finally be written : Every particle of matter in the universe attracts every other particle with a force exactly proportioned to the product of the masses, and inversely as the square of the distance between...

...this whole pomp of stars might have been evolved. The law of gravitation enunciated by Newton is> that every particle of matter in the universe attracts every other particle with a force which diminishes as the square of the distance increases. Thus the sun and the earth mutually pull...

...matter of any kind will be apparent if one reflects upon the significance of the law of gravitation as stated. Every particle of matter in the universe attracts every other particle. If there be anything else in the universe which has no such quality, then it should not be called matter,...