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" The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. "
A treatise on the motion of a single particle and of two particles acting on ... - Page 86
by Archibald Sandeman - 1850 - 190 pages
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An Introduction to Astronomy

John Bonnycastle - 1816 - 428 pages
...that the squares of the times in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the sun. To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and...
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Library for the people. (Division 1). The wonders of nature and art ...

Library - 1827
...is as follows : 5. " The squares of the times of revolution in any two planets, vary in proportion to the cubes of their mean distances from the sun," — that is, if the square of the time of one be multiplied by the cube of the distance of another, the products...
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Mechanism of the Heavens

Mary Somerville - Celestial mechanics - 1831 - 621 pages
...law of Kepler gives whence (85) 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' = *" a\ k being the same for all the planets. Hence c == but 2a (1 — e*) is 2SV, the...
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Elements of Astronomy: Descriptive and Physical ...

Hervey Wilbur - Astronomy - 1831 - 144 pages
...the squares of the periods, in which any two pla* nets complete their revolutions in their orbits, are proportional to. the cubes of their mean distances from the Sun. \ This proportion requires illustration. Let the period of tha Earth's revolution, be called 12 months,...
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On the Connexion of the Physical Sciences

Mary Somerville - Physical science - 1834 - 458 pages
...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, which is not...
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The connexion of the physical sciences

Mary Somerville - 1834
...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, which is not...
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Elements of Astronomy, Descriptive and Physical: In which the General ...

Hervey Wilbur - Astronomy - 1834 - 144 pages
...that the squares of the periods, in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the Sun. This proportion requires illustration. Let the period of the Earth's revolution, be called 12 months,...
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Transactions of the ... Annual Meeting of the Western Literary ..., Volume 6

Education - 1837
...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," but...
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An Elementary Treatise on Astronomy: In Four Parts. Containing a Systematic ...

William Augustus Norton - Astronomy - 1839 - 373 pages
...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 Kepler's Laws....
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - Best books - 1841 - 587 pages
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being...
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