...never was a law of such vast importance announced in so few words. The simple principle, that gravity varies directly as the mass, and inversely as the square of the distance, enables us to infer it priori all of Kepler's laws. If one of several bodies of a system...

...theory of gravitation as stated in the last and present articles, namely, that the force of attraction varies directly as the mass, and inversely as the square of the distance, was first promulgated by Sir Isaac Newton ; and hence it is sometimes called, The Newtonian...

...distance one-ninth, and so on. These two!laws are expressed by saying, — that the force of gravitation varies directly as the mass, and inversely as the square of the distance. Bodies are attracted by the earth as if the whole of its mass were collected in its centre...

...at treble oneninth, and so on. These two laws are expressed by saying, that the force of gravitation varies directly as the mass, and inversely as the square of the distance. Bodies are attracted by the earth as if the whole of its mass were collected in its centre...

...but only tells us that all masses or portions of matter tend towards each other with a force which varies directly as the mass, and inversely as the square of the distance. This law enables us to measure and calculate the force- of gravitation, but throws no gleam...

...hour ; how far and how long must the first travel before he is overtaken by the second? 17. Gravity varies directly as the mass and inversely as the square of the distance. Compare the amount of the earth's attraction on two bodies, the one having a mass 35 at a...

...lying within the scope of the law that every particle of matter attracts every other with a force which varies directly as the mass, and inversely as the square of the distance. It is the object of Philosophy to ascend from a knowledge of facts to a knowledge of laws;...

...planets exterior to the orbit of Mercury exert an amount of power on this nearest planet to the sun which varies directly as the mass, and inversely as the square of the distance of the disturbing body. Let us suppose the earth and Venus to be in conjunction with Mercury,...

...Newton) the mechanism by which these masses are regulated in their orbits, by an attracting force which varies directly as the mass and inversely as the square of the distance. These wonderful achievements of the Great Author of Nature teach us lessons of humility as...

...is But, since the planet is retained in its orbit by the attraction of the sun, and this attraction varies directly as the mass, and inversely as the square of the distance, Art. 256, we shall have B»~ T2 ' M=^5!. (1) For the same reason, if we put m to represent...