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" The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. "
Descriptive Astronomy - Page 31
by George Frederick Chambers - 1867 - 816 pages
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The Intellectual repository for the New Church. (July/Sept. 1817 ...

New Church gen. confer - 1855 - 590 pages
...planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not seen....
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 3

1823 - 894 pages
...relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of the Orbit j of the Comets. OF all the celestial bodies,...
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Mechanism of the Heavens

Mary Somerville - 1831 - 710 pages
...is J cdt ; hence the law of Kepler gives ^ cdt: V~ : T -, whence c But, by Kepler's third law, the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun ; therefore T* = K> a\ k being the same for all the planets. (85) 03. Hence c = but 2a...
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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 pages
...the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies,...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 666 pages
...the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies,...
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Transactions of the ... Annual Meeting of the Western Literary ..., Volume 6

Western Literary Institute and College of Professional Teachers - 1837 - 286 pages
...thought conveyed by it, any more than it would lead him to the knowledge of the Keplerian law, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun's centre! ' These are subsequent efforts. A child of four years of age can say, "God exists,"...
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An Elementary Treatise on Astronomy: In Four Parts. Containing a Systematic ...

William Augustus Norton - 1839 - 530 pages
...is an ellipse, of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. These laws are known by the denomination of...
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An Elementary Treatise on Astronomy: In Two Parts. The First Containing, a ...

John Gummere - 1842 - 516 pages
...round the sun and their mean distances from him, Kepler discovered that the squares of the periodical times of the planets are proportional to the cubes of their mean distances from him. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig....
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A System of Logic, Ratiocinative and Inductive: Being a Connected ..., Volume 2

John Stuart Mill - 1843 - 648 pages
...opposite angles are equal, is true of all such lines and angles, by whatever cause produced. That the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun, is an uniformity derived from the laws of the causes which produce the planetary...
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Introductory Book of the Sciences

James Nicol - 1844 - 152 pages
...time a planet takes to move round its orbit is named its periodic time; and the third law is, that the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun. Thus, Mars is about four times farther from the sun than Mercury, and its time...
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