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" Now if the sphere were evanescent in magnitude, with the same quantity of matter, the attraction 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... "
A Complete System of Astronomy - Page 13
by Samuel Vince - 1814
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The Principles of Fluxions

Samuel Vince - 1812 - 298 pages
...with the same quantity of matter, the attraction would be the same, it being independent of a. Hence, the attraction of a corpuscle to a sphere is just...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 what circumstances...
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The Principles of Fluxions: Designed for the Use of Students in the University

Samuel Vince - 1812 - 274 pages
...attraction would be the same, it being independent of a. Hence, the attraction of a corpuscle to a sphere js just the same as if all the matter of the sphere were cpllecte.d into its centre, SECTION VII, ON SECOND, THIRD, &p. FLUXIONS, PROP. XXXVII. *T*0 explain...
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A Treatise of Mechanics, Theoretical, Practical, and Descriptive, Volume 1

Olinthus Gregory - 1815 - 604 pages
...motion of the body would be stopped at the first point of intersection of the two curves. 293. PROP. The attraction of a corpuscle to a sphere is just the same as if all the matter of the sphere rcere collected into its centre : the force being supposed to rary inversely as the square of the distance....
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The Principles of Fluxions: Designed for the Use of Students in the Universities

William Dealtry - 1816 - 492 pages
...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 the dist.l...
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A Treatise on Fluxions

Samuel Vince - 1818 - 444 pages
...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 to...
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Gravitation: An Elementary Explanation of the Principal Perturbations in the ...

Sir George Biddell Airy - 1834 - 248 pages
...at the centre by nearly T-feih of their whole attraction ; but the attraction of the whole sphere is the same as if all the matter of the sphere were collected at the centre ; therefore, when these parts are removed, they must leave a mass, whose attraction is...
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The Mechanism of the Universe, and Its Primary Effort-exerting Powers: The ...

Augustus Fendler - 1874 - 172 pages
...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...
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