 | 1829 - 726 pages
...attraction, and ascertained that all material substances gravitate towards each other with forces which are directly as their masses, and inversely as the squares of their mutual distances, the whole mechanism of nature was in a manner revealed ; a new direction was given... | |
 | Mary Somerville - 1831 - 720 pages
...being given of three bodies projected from three given points, with velocities given both in quantity and direction ; and supposing the bodies to gravitate...directly as their masses, and inversely as the squares of the distances, to find the lines described by these bodies, and their position at any given instant.... | |
 | Mary Somerville - 1834 - 666 pages
...being given of three bodies projected from three given points, with velocities given both in quantity and direction ; and, supposing the bodies to gravitate...directly as their masses and inversely as the squares of the distances, to find the lines described by these bodies, and their IK>sitions at any given instant.... | |
 | Mary Somerville - 1834 - 390 pages
...being given of three bodies projected from three given points, with velocities given both in quantity and direction ; and, supposing the bodies to gravitate...directly as their masses and inversely as the squares of the distances, to find the lines described by these bodies, and their positions at any given instant.... | |
 | John Frederic Daniell - 1839 - 606 pages
...granted two fundamental laws of attraction, first, that all the particles of matter attract one another directly as their masses, and inversely as the squares of their distances; secondly, that a body of any shape will attract a particle of matter anywhere, with the same force... | |
 | Roswell Park - 1841 - 624 pages
...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... | |
 | John Lee COMSTOCK (and HOBLYN (Richard Dennis)), John Lee COMSTOCK - 1846 - 506 pages
...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... | |
 | Roswell Park - 1847 - 626 pages
...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... | |
 | Mary Somerville - 1849 - 568 pages
...being given of three bodies projected from three given points, with velocities given both in quantity and direction ; and, supposing the bodies to gravitate...directly as their masses, and inversely as the squares of the distances, to find the lines described by these bodies, and their positions at any given instant... | |
 | Charles Davies - 1850 - 398 pages
...science. V. 1. ii was the result. The ways of ascertaining facts are known: LOGIC. [BOOK i. varying directly as their masses, and inversely as the squares of their distances, by Induction. He saw an apple falling from the tree : a mere fact ; and asked himself the cause : that... | |
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But such a personification of "force" is a remnant of barbaric thought, in no wise sanctioned by physical science. When astronomy speaks of two planets as attracting each other with a " force " which varies directly as their masses and inversely as the... 
