...class of variations. Thus, the law of gravitation is the affirmation that bodies attract each other directly as their masses, and inversely as the squares of their distances; that is, that as masses vary gravitation increases or decreases, the progression being arithmetical;...

...Almighty that is as regular and immutable as that other law, that the attraction of two bodies varies directly as their masses and inversely as the squares of their distances. "The Origin of Species by Natural Selection," announced by Darwin in 1863, proved, as well as anything...

...varies directly with -• Thus the force of the attraction of gravitation between two bodies varies directly as their masses and inversely as the squares of their distances. If m represents the masses of two bodies, d their distance, and в the force of their attraction due...

...astronomical calculations upon the Newtonian theory of gravitation; viz., that bodies attract each other directly as their masses, and inversely as the squares of their distances. But here is the old problem, as yet scientifically unsolved — how can bodies thus attract and be...

...therefore, not intermittent or capricious, but is subject to unvarying Law — it works upon all Bodies directly as their masses and inversely as the squares of their distances. Space interjected between material objects has thus a power of lessening their Gravitation; it separates...

...had replied that it might similarly be " remarked that the formula — ' bodies attract one another directly as their masses and inversely as the squares of their distances,' was at best but a blank form for solar systems and sidereal clusters." Whereupon Prof. Tait assumes...

...of transformations, might similarly have remarked that the formula — 'bodies attract one another directly as their masses and inversely as the squares of their distances,' was at best but a blank form for solar systems and sidereal clusters." We now see why Mr Spencer calls...

...formulated by Newton and known by heart to every freshman, reads as follows: "All bodies attract each other directly as their masses, and inversely as the squares of their distances apart." Through one of those fatal lapses to which astronomy of all the sciences has been most prone,...

...limits of variation of the variables. The law of gravitation tells us that bodies attract one another directly as their masses and inversely as the squares of their distances; it does not tell us how many bodies there are in the universe, or even the solor system, nor what their...

...science. When astronomy speaks of two planets as attracting each other with a " force " which varies directly as their masses and inversely as the squares of their distances apart, it simply uses the phrase as a convenient metaphor by which to describe the manner in which...