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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. "
An Elementary Treatise on Astronomy: In Two Parts. The First Containing a ... - Page 79
by John Gummere, Ezra Otis Kendall - 1854 - 477 pages
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New American Practical Navigator, Volume 1

1977 - 1412 pages
...sweeps 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 - 490 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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The Imperial Magazine, Or, Compendium of Religious, Moral ..., Volume 12

1830 - 614 pages
...sin«> 919 Discourse on the Theory of the Planetary System. 922 according to the law of John Kepler, who discovered that the squares of the periodical times of the planets, are as the cubes of their mean distances from the sun. Hence, their velocities must decrease the farther...
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Mechanism of the Heavens

Mary Somerville - 1831 - 710 pages
...comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts on a moving body be known, the curve...
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Elements of Astronomy: Descriptive and Physical ...

Hervey Wilbur - 1831 - 170 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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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 pages
...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, which is not...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 666 pages
...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, which is not...
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Elements of Astronomy, Descriptive and Physical: In which the General ...

Hervey Wilbur - 1834 - 172 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

Western Literary Institute and College of Professional Teachers - 1837 - 286 pages
...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," but...
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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 Kepler's Laws....
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