 | John Henry Pratt - Celestial mechanics - 1836 - 672 pages
...omit the remainder of this Chapter till he enters upon those investigations. We shall suppose that the law of attraction is that of the inverse square of the distance. PEOP. To obtain formulas for the calculation of the attraction of a heterogeneous mass upon any particle.... | |
 | John Henry Pratt - Architecture - 1842 - 674 pages
...remainder of this Chapter till 156 STATICS. he enters upon those investigations. We shall suppose that the law of attraction is that of the inverse square of the distance. PROP. To obtain formula; for the calculation of the attraction of a heterogeneous mass upon any particle.... | |
 | Isaac Todhunter - Statics - 1853 - 362 pages
...produce a given resultant law, the law of attraction of the constituent molecules must be the same. 232. From Art. (224), it appears that when the law...an external particle with a resultant force, which i* the same as if the sphere were condensed at its centre. It may be shewn also that two such spheres... | |
 | Hugh Godfray - Lunar theory - 1853 - 140 pages
...sphere were collected at its centre. 8. This remarkable result, which, as may be shewn, holds only when the law of attraction is that of the inverse square of the distance, or that of the direct distance, or a combination of these by addition or subtraction, reduces the problem... | |
 | Bartholomew Price - 1856 - 670 pages
...Some remarkable results arise, when a spherical shell or a sphere attracts a material particle, if the law of attraction is that of the inverse square of the distance; (1) the attraction of a spherical shell or of a sphere on an external particle is the and (2) the attraction... | |
 | William Thomas Brande - Encyclopedias and dictionaries - 1866 - 992 pages
...proportional to the velocities with which the body moves at the points of contact of those tangents. When the law of attraction is that of the inverse square of the di>tanoe, the orbit is a conic of which the centre of force is the focus; nnd by a well-known theorem... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...constant factor pros, the three components of attraction or repulsion on a material particle placed at M. When the law of attraction is that of the inverse square of the distance, the potential may be defined as the sum of each mass-element of the attracting body divided by the... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...constant factor pres, the three components of attraction or repulsion on a material particle placed at M. When the law of attraction is that of the inverse square of the distance, the potential may be defined as the sum of each mass-element of the attracting body divided by the... | |
 | Philosophical Society of Washington (Washington, D.C.) - Science - 1895 - 646 pages
...an experienced Kanaka guide, led the expedition from Kalaieha to the summit at Waiau. Assuming that the law of attraction is that of the inverse square of the distance, the measure of the force/, exerted by any mass, M, at a distance, d, from the attracted point, may... | |
 | William Henry Besant - Dynamics - 1885 - 376 pages
...of course at once derivable by geometry from the preceding. 171. Motion of two particles in a plane when the law of attraction is that of the inverse square of the distance. Taking the force between the particles to be TO7ยป7(Distance)2, the acceleration of P in the direction... | |
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It may he shewn also that two such spheres attract each other in the same manner as if each were condensed at its centre. For consider any element of mass forming part of the first sphere; the attraction of this on the second sphere will... 
