 On which the comment may be that one who had studied celestial mechanics as much as the reviewer has studied the general course of transformations, might similarly have remarked that the formula — " bodies attract one another directly as their masses...  Science - Síða 310 breytti - 1880Heildartexta - Um bókina
 | Roswell Park - 1847 - 626 síður
...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... | |
 | Charles Davies - 1850 - 398 síður
...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... | |
 | Anna Cabot Lowell - 1850 - 378 síður
...cjuantity and direction ; and, supposing the bodies to gravitate to one another with forces that are directly as their masses, and inversely as the squares of their distances, to find the lines described by these bodies, and their positions at any given instant : or in other... | |
 | Sir George Cornewall Lewis - 1852 - 500 síður
...certain centres, (as, for example, the law, that bodies gravitate to one another with forces which vary directly as their masses, and inversely as the squares of their distances,) are constant, not recurrent in their action : their character is not cyclical; and, having been once... | |
 | Samuel Neil - 1853 - 314 síður
...may, perhaps, suffice : — If it be true that " the gravitating forces of bodies are to each other, directly as their masses, and inversely as the squares of their distances" then the sun, and all the bodies which revolve round him, should act and react on each other, in accordance... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1854 - 566 síður
...instance of the general fact, that any two bodies tend to fall towards each other with a force which is directly as their masses and inversely as the squares of their distances. Generalization of facts, not the ascertainment of causes, is the sole business of science. The regular... | |
 | Bartholomew Price - 1856 - 662 síður
...is that which gives rise to the speculation : Three particles or bodies M, m, m' attract each other directly as their masses and inversely as the squares of their distances, and move in one plane ; it is required to determine the relations between them, so that the equations... | |
 | Thomas Tate (mathematical master.) - 1860 - 394 síður
...and phenomena. Thus for example, that the planetary bodies attract one another with forces which are directly as their masses, and inversely as the squares of their distances, is a general fact ; for the force really exists, and really acts by the law which is assigned to it.... | |
 | Henry James Slack - 1860 - 260 síður
...and direction, being given, and it being known that they gravitate to each other with forces that are directly as their masses and inversely as the squares of their distances — the lines described by these bodies and their positions at any given instant shall be found.* If... | |
 | 1861 - 600 síður
...another name for it. Newton showed also that all the bodies of the solar system attract each other directly as their masses, and inversely as the squares of their distances, and that their movements, even to minute oscillations or secular variations, could be calculated from... | |
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