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" ... the sun by a force which varies inversely as the square of the distance... "
A Complete System of Astronomy - Page 13
by Samuel Vince - 1814
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A Treatise of Mechanics, Theoretical, Practical, and Descriptive, Volume 1

Olinthus Gregory - 1815 - 604 pages
...nearly; the preceding propositions, therefore, furnish astronomers with just reason for concluding, that each planet is attracted to the sun by a force which is directly as the quantity <f matter in the central body, and inversely as the square of the distance...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 pages
...to move in circular orbits (from which they, in fact, differ but little), they are solicited towards the sun by a force which varies inversely as the square of the distance. This supposition is not rigorous. But the coustant relation of the squares of the periodic...
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An Elementary Treatise on Astronomy: In Two Parts. The First Containing, a ...

John Gummere - 1837 - 506 pages
...•* It therefore follows, from Kepler's second Iaw,'that each planet is continually urged towards the sun, by a force which varies inversely as the square of the distance from the sun's centre. 6. Since each planet is urged towards the sun by a fon|e varying inversely...
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Unity of Purpose, Or Rational Analysis: Being a Treatise Designed to ...

Augustus Young - 1846 - 304 pages
...distance is concerned.) And in the result, we find Mr. Vince coming to the following conclusion, viz. : " Hence, we conclude that each planet is attracted to...force which varies inversely as the square of the distance of its centre, and that the constituent particles also attract each other by a force varying...
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Analytical View of Sir Isaac Newton's Principia

Henry Brougham Baron Brougham and Vaux, Edward John Routh - 1855 - 512 pages
...these latter attractions compared with that of the sun, we know that the comet, being attracted towards the sun by a force which varies inversely as the square of the distance, must move in a conic section with the sun in one focus, and describe round it areas proportional...
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Analytical View of Sir Isaac Newton's Principia

Henry Brougham Baron Brougham and Vaux, Edward John Routh - 1855 - 540 pages
...these latter attractions compared with that of the sun, we know that the comet, being attracted towards the sun by a force which varies inversely as the square of the distance, must move in a conic section with the sun in one focus, and describe round it areas proportional...
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The Logical Bases of Education

James Welton - 1899 - 316 pages
...the planets round the sun was a natural Motion. development. Indeed, that the different planets are attracted to the sun by a force which varies inversely as the square of the distance was already known to be approximately true. Newton, however, starting with the facts of planetary...
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Scientific Method: An Historical and Philosophical Introduction

Barry Gower - 1997 - 296 pages
...the action exerted by the sun on the planets'. In other words, deduction from these phenomena shows that each planet is attracted to the Sun by a force which is proportional to the product of the mass of the Sun and the mass of the planet, and inversely proportional...
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