...author has shown elsewhere (page 105), conforms to the Newtonian law that, bodies attract each other with a force proportional to the product of their masses, and inversely proportional to the square of their distance apart. My hypothesis of gravitation supports the electron theory with its...

...Philosophy, Part I, art. 261.) NEWTON'S LAW OF UNIVERSAL GRAVITATION. All bodies attract each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them. Thus, F = G M-'' G is called the Newtonian constant. Cavendish...

...body. Hence we have almost axiomatically Newton's law of attraction — "All bodies attract each other with a force proportional to the product of their masses and inversely MMi » as the square of the distance, or/ = — — • The action is purely mutual, and the forces...

...mechanics of the universe. The law of gravitation, namely, that any two atoms of matter attract each other with a force proportional to the product of their masses and inversely as the square of the distance between them, states merely observed facts and gives no clue as to the...

...mechanics of the universe. The law of gravitation, namely, that any two atoms of matter attract each other with a force proportional to the product of their masses and inversely as the square of the distance between them, states merely observed facts and gives no clue as to the...

...form, into the domain of mathematics, and led up to the generalization that all particles of matter attract one another with a force proportional to the...of their masses and inversely proportional to the square of the distance between them, from which law it would seem that all the known phenomena of the...

...general of scientific laws — the law of gravitation. It asserts that any two bodies are attracted to one another with a force proportional to the product of their masses and in inverse ratio to the square of the distance between them. The only feature of this law which...

...finally generalized statement of the law will be: every material body attracts every other material body with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.23 Such was Newton's final rationalization, or ascription to a...

...four-dimensional world lines are unique. 2. That space is everywhere Euclidean. 3. That bodies or energies attract one another with a force proportional to the product of their masses. 4. That this force varies inversely as the square of the distance. 5. That a quasi-magnetic force acts...

...is, for example, a proposition of universal application that two material bodies attract each other with a force proportional to the product of their masses and inversely proportional to the square of their distance. But if the general theory of relativity be true this is a statement of fact...