...shewn by Newton, says Bergman, that' the great bodies of the universe exert the power of attraction, directly as their masses, and inversely as the squares of their distances. But, the tendency to union, which is observed in all neighbouring bodies on the surface of the earth...

...in given directions and with given; velocities, and gravitating to one another with forces that are directly as their masses, and inversely as the squares of their distances, — to trace the orbits they describe, and to find their positions at any given time. This is no other...

...rotation, and composed of an infinity of fluids, of different densities, whose particles attract each other directly as their masses, and inversely as the squares of their distances. Legendre had already solved thia problem by a very ingenious analysis, which supposes the mass homogeneous....

...matter within the bodies; and hence, in general, the force urging the bodies towards one another will be directly as their masses, and inversely as the squares of their distances. Thus, by mechanical action, the. Newtonian law of gravitation is explained in all its parts. The principal...

...things for granted : first, the great fundamental law of attraction that all the particles of matter attract one another directly as their masses, and inversely as the squares of their distances : and secondly, that a body of any shape will attract a particle of matter any where, with the same force...

...things for granted : first, the great fundamental law of attraction that all the particles of matter attract one another directly as their masses, and inversely as the squares of (heir distances ; and secondly, that a body of any shape will attract a particle of matter any where,...

...instance of the general fact, that any two bodies tend to fall towards each other with a force which is directly as their masses and inversely as the squares of their distances. Generalization of facts, not the ascertainment of causes, is the sole business of science. The regular...

...truth hitherto discovered by the industry and sagacity of man ; viz. " That all the particles of matter attract one another, directly as their masses, and inversely as the squares of their distances." Having thus experimentally examined the nature of gravitation as far, at least, as that can be effected...

...Newton. The planets gravitate towards the sun, and towards each other; that is, they are attracted, directly as their masses, and inversely as the squares of their distances. Hence, they would all fall together, and meet in their common centre of gravity, did not their motion...

...be succinctly stated in the following formula:—The gravitating forces of bodies are to each other, directly as their masses, and inversely as the squares of their distances. Thus, if the mass of one "Reduce the given time to seconds; take the square of the number of seconds...