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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. "
Fourteen Weeks Course in Descriptive Astronomy - Page 29
by Joel Dorman Steele - 1876 - 336 pages
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American Practical Navigator, Volume 1

Nautical astronomy - 1977
...over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets are proportional to the cubes of their mean distances from the sun. In 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets....
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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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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - Astronomy - 1827 - 420 pages
...probable by a reference to the third law of Kepler, that the squares of the times of the revolutions of the planets about the sun, are proportional to the cubes of their mean distances. The earth, on the supposition " that it is in motion about the sun, is included in this law. It is...
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Mechanism of the Heavens

Mary Somerville - Astronomy - 1831 - 621 pages
...observation, that the squares of the periodic times of the planets, or the times of their revolutions round the sun, are proportional to the cubes of their mean distances from his centre : whence it follows, that the intensity of gravitation of all the bodies towards the sun...
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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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Mechanism of the Heavens

Mary Somerville - Celestial mechanics - 1831 - 621 pages
...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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On the Connexion of the Physical Sciences

Mary Somerville - Physical sciences - 1834 - 458 pages
...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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On the Connexion of the Physical Sciences

Mary Somerville - Physical science - 1834 - 458 pages
...observation, that the squares of the periodic times of the planets, or the times of their revolutions round the sun, are proportional to the cubes of their mean distances from his centre : whence it follows that the intensity of gravitation of all the bodies towards the sun...
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The Mathematical Principles of Mechanical Philosophy: And Their Application ...

John Henry Pratt - Gravitation - 1836 - 616 pages
...the same orbit, proportional to the time of describing them. III. The squares of the periodic times of the planets about the Sun are proportional to the cubes of the mean distances. We shall shew how we are led by these empiric laws to conjecture respecting the...
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