...the researches of Lagrange, Laplace, and others, every portion of matter attracts and is attracted directly as the quantity of matter, and inversely as the square of the distance from the attracting body. This is the law of universal gravitation ; and it may be perceived...

...bodies to fall towards the earth's centre. The great law of gravitation is, that " the attraction is directly as the quantity of matter, and inversely as the square of the distance." This law also regulates the movements of the solar system. Capillarity. — This is the...

...second and the reciprocal of the third. Thus, in physics, the attraction of a planetary body varies directly as the quantity of matter, and inversely as the square of the distance. • 330. If A varies as B, then A is equal to B multiplied by tome constant quantity. Let...

...beauty, and harmony. That law is — " That the centres of all bodies arc attracted towards each other directly as the quantity of matter, and inversely as the square of their distances." Leibnitz said of Newton, " Taking mathematicians from the beginning of the world...

...7. The mass of the earth is 80 times that of the moon, and their mean distance asunder 240000 miles. The attraction of gravitation being directly as the...24134.5— " " " moon. Or, 270210.4+ « •" " earth, and 30210.4+ " beyond the moon from the earth. This question involves the same principles as the Problem...

...familiar force, attracting falling bodies, was astronomic as well as terrestrial, and that it operated directly as the quantity of matter, and inversely as the square of the distance, and called it gravitation ; did he thereby give us any idea of what it was ? Have we any...

...to be 80 times that of the moon, their distance 240,000 miles, and'the force of attraction to vary directly as the quantity of matter, and inversely as the square of the distance, at what point between them will a third body be equally attracted by the earth and moon ?...

...it at more than twice that of the earth. e. Superficial Gravity at Mercury.—Since gravity varies directly as the quantity of matter, and inversely as the square of the distance from the centre, at the surface of Mercury it must be nearly (tSSS) 8 X .063, or ^ X .063...

...7. The mass of the earth is 80 times that of the moon, and their mean distance asunder 240000 miles. The attraction of gravitation being directly as the...miles from the earth, and 24134.5— " '< " moon. Or, 270210.4-f « " " earth, and 30210.4+ " beyond the moon from the earth. This question involves the...

...which the force acts that causes a uniform fact, — as when it is said that the force of gravity is directly as the quantity of matter, and inversely as the square of the distance. As thus applied, the characteristics of law are uniformity, and, so far as the human will...