...the book of Eevelation that salvation is not by works, but by faith. The discovery by Newton, that every particle of matter in the universe attracts every other particle with a force varying directly as its mass, and inversely as the square of its distance, is simply a fact of nature...

...follow necessarily as the consequence of the law of gravitation, which he had discovered ; namely, that "every particle of matter in the universe attracts every other particle with a force that varies directly as the masses of the particles, and inversely as the square of the distance between...

...this force acts was first stated by Newton, and is known as the law of gravitation. Every particle-of matter in the universe attracts every other particle with a force whose direction is that of a straight line joining the two, and whose magnitude is proportional directly as the product of their...

...under their mutual attraction. In it Newton generalised the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between...

...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...

...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,...

...jarring discords. All the infinitely various and ever-changing operations of gravity are analogous. " Every particle of matter in the universe attracts every other particle with a force directly proportioned to the mass of the attracting particle, and inversely to the square of the distance...

...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...