...other particle with a force whose direction is that of a line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distance from each other." In order that what follows may be the better understood, I will restate...

...to be recast in terms exhibiting the precise quantitative variation, — bodies attract each other directly as the product of their masses, and inversely as the square of their distance. It is evident that the special function of this method of concomitant variations consists...

...drawing it along the base and raising it vertically upward. 4. If two particles attract each other directly as the product of their masses, and inversely as the square of the distance between them, find the work done, wheri they have moved from an infinite distance apart to...

...Newton and is known by his name. It may be stated as follows: The gravitation between any two bodies varies directly as the product of their masses and inversely as the square of the distance between their centers of mass. Weight or Gravity. — The most familiar example of gravitation...

...were. For instance, when we observe that two bodies always attract each other with a force varying directly as the product of their masses and inversely as the square of their distance apart, we call this fact the " law of gravitation " ; but when we go and deliberately...

...According to Newton's law of gravitation, two bodies attract each other with a force proportional to the product of their masses, and inversely as the square of the distance between the bodies. From this law the paths of the planets about the sun have been calculated,...

...concerned, was the following : ' That all bodies tend to attract each other mutually with a force that varies directly as the product of their masses and inversely as the square of the distance between them.'t In his attempt, then, to explain causally the movements of the heavenly bodies,...

...concerned, was the following : ' That all bodies tend to attract each other mutually with a force that varies directly as the product of their masses and inversely as the square of the distance between them.'f In his attempt, then, to explain causally the movements of the heavenly bodies,...

...identified and which states that every particle of matter attracts every other particle with a force varying as the product of their masses and inversely as the square of the distance between them. We shall first prove that if the radius vector drawn to a moving particle from...

...that every particle of matter attracts every other particle, and suspected that the attraction varied as the product of their masses, and inversely as the square of the distance between them; but it is certain that he did not then know what the attraction of a spherical...