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" LXXIV) inversely proportional to the square of its distance from the centre of the sphere; therefore the attraction of the sphere, equal thereto, is also in the same ratio. "
Elementary Statics - Page 69
by John Bascombe Lock - 1888 - 248 pages
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The Southern Review, Volume 5

Albert Taylor Bledsoe, Sophia M'Ilvaine Bledsoe Herrick - Periodicals - 1869 - 530 pages
...beautiful conclusion, that the force which draws it to the sun in one of the foci of the ellipse, is always inversely proportional to the square of its distance from the centre of attraction. But the third step in the Newtonian discovery, if we consider the grandeur and magnificence...
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The elements of dynamics, mechanics

James Andrew Blaikie - 1878 - 184 pages
...law of gravitation that this force is proportional to the mass of the body, and varies inversely as the square of its distance from the centre of the earth. Thus a body weighs less at the top of a hill than at the bottom, and, owing to the shape of the earth, weighs...
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Argon and Newton : a Realisation

W. Sedgwick - Argon - 1896 - 308 pages
...distances. Corollary II. — Since the outer shell in the spherical mass is drawn inwards by an attraction inversely proportional to the square of its distance from the centre of the mass, it is plain that any mass or body attached to the outer shell, and therefore to the outside of...
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Algebra for Schools

George W. Evans - Algebra - 1899 - 458 pages
...pounds, how much can an animal 4.3 feet long pull ? • 2. If the weight of a body is reciprocally proportional to the square of its distance from the centre of the earth, how much weight will a 3-pound ball indicate on a spring balance, at a distance above the earth equal...
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The Laws of Gravitation: Memoirs by Newton, Bouguer and Cavendish, Together ...

Isaac Newton - Earth - 1900 - 190 pages
...they are attracted by BY it. But that attraction of the corpuscle would be (by prop. 74) reciprocally proportional to the square of its distance from the centre of the sphere ; therefore the attraction of the sphere, equal thereto, is also in the same ratio. QED Cor....
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An Introductory Course of Mathematical Analysis

Charles Walmsley - History - 1926 - 316 pages
...constant. Shew that the meteor is subject to a variable acceleration towards the centre of the earth inversely proportional to the square of its distance from the centre of the earth. 11. Determine the limits (a) lim (1 - cos ,«)/sin #, (6) lira [loge (1 +#)]/#, i-»o z-».o (c) lim...
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The Theory of Education: The Philosophy of Education as Derived from the ...

Ira Woods Howerth - Education - 1926 - 436 pages
...Every particle of matter in the universe he said, attracts every other particle with a force directly proportional to its mass and inversely proportional to the square of its distance. But nobody has yet discovered the principle of gravitation; that is to say, nobody can explain the...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

English periodicals - 1889 - 574 pages
...planets in the solar system, on the supposition that the determining effect of each planet is directly proportional to its mass and inversely proportional to the square of its distance from the sun. If in be the mass of a planet, d its distance from the sun, P its period, the average to be determined...
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Philosophical Magazine

Physics - 1889 - 600 pages
...planets in the solar system, on the supposition that the determining effect of each planet is directly proportional to its mass and inversely proportional to the square of its distance frOm the sun. If m be the mass of a planet, d its distance from the sun, P its period, the average to be determined...
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Philosophical Magazine

Physics - 1867 - 1174 pages
...upwards from the earth, it not only loses all its motion, but it loses its attraction in proportion to the square of its distance from the centre of the earth. What becomes of the motion imparted to the stone? It is not transformed into attraction, for the attraction...
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