 | Samuel Vince - 1812 - 298 lapas
...would be the same, it being independent of a. Hence, the attraction of a corpuscle to a sphere is just the same as if all the matter of the sphere were collected into its centre. i a. SECTION VIL • ON SECOND, THIRD, &c. FLUXIONS. PHoP. XXXVII. nnO explain under... | |
 | Samuel Vince - 1814 - 628 lapas
...matter, the attraction would be the same; consequently the attraction of a corpuscle to a sphere is just the same as if all the matter of the sphere were collected into its center. If the corpuscle be at the surface of the sphere, then a = b, and the attraction varies... | |
 | William Dealtry - 1816 - 492 lapas
...a*, the attraction varies as the content divided by the square of the distance from the center ; and is the same as if all the matter of the sphere were collected into the center. a plane LloO infinitely extended, the force of each particle varying inversely as... | |
 | Samuel Vince - 1818 - 444 lapas
...attraction would be the same, it being independent of a. Hence, the attraction of a corpuscle to a sphere, is the same as if all the matter of the sphere were collected into it's centre. COR. 1 . Hence, if P be a sphere of finite magnitude, the attraction of that sphere... | |
 | 1834 - 578 lapas
...each of their particles. It happens however, that the attraction of a sphere upon a point without it is the same as if all the matter of the sphere were united at its centre, provided the sphere be homogeneous, or at least composed of concent rical homogeneous... | |
 | Augustus Fendler - 1874 - 172 lapas
...inversely as the squares of the distances. 4. A particle outside a homogeneous sphere is attracted the same as if all the matter of the sphere were collected in its centre. 578. Notwithstanding these drawbacks I was, simply by reflecting upon the properties... | |
 | 1874 - 430 lapas
...the 8th degree.] 86. "Prove that the attraction of a sphere of uniform density upon an external point is the same as if all the matter of the sphere were concentrated at its centre." SOLUTION BY AB NELSON MD, DANVILLE, KY. Let A be the point, and suppose... | |
 | 1874 - 490 lapas
...HODGENVILLE, KY. — Prove that the attraction of a sphere of uniform density upon an external point is the same as if all the matter of the sphere were concentrated at its centre. 87. BY GM DAY, LOCKPORT, NY — There are n tickets in a bag numbered 1,... | |
 | 1874 - 834 lapas
...the 8th degree.] 86. "Prove that the attraction of a sphere of uniform density upon an external point is the same as if all the matter of the sphere were concentrated at its centre." SOLUTION BY AB NELSON MD, DANVILLE, KY. Let A be the point, and suppope... | |
 | Edward Leamington Nichols, William Suddards Franklin - 1895 - 252 lapas
...constant. Fig. 31. Proposition. — The gravitational action of a spherical body on an external particle is the same as if all the matter of the sphere were concentrated at its center. [For proof see chapter on Electrostatics.] Corollary. — The mutual action... | |
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Prove that the attraction of a sphere of uniform density upon an external point is the same as if all the matter of the sphere were concentrated at its centre. 