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" But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent of secular changes. They are so connected by Kepler's law, of the squares of the periodic times being proportional... "
The Elements of Astronomy: Or, The World as it Is, and as it Appears - Page 262
by Anna Cabot Lowell - 1850 - 376 pages
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Systematic Education: Or Elementary Instruction in the Various ..., Volume 2

William Shepherd, Jeremiah Joyce, Lant Carpenter - 1815 - 598 pages
...times, and of course proportional to the times of describing them. He also discovered by trials, that the cubes of the mean distances of the planets from the sun, are in the same proportion as the squares of the periodical times in which they revolve about the sun....
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Encyclopædia Americana: A Popular Dictionary of Arts, Sciences ..., Volume 12

Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford, Henry Vethake - 1832 - 624 pages
...possess the measure of our whole planetary system, as, according to the second • law of Kepler (qv), the cubes of the mean distances of the planets from the sun are as the squares of the periods of their revolutions (which have long been known). Therefore the...
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Mechanism of the Heavens

Mary Somerville - 1831 - 720 pages
...before the earth's orbit became a circle. But in the midst of all these vicissitudes, the major axes and mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. With the exception of these two elements, it appears, that all the bodies are in motion, and every...
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Mechanism of the Heavens

Mary Somerville - 1831 - 710 pages
...planet and comet this force is reciprocally as the square of the distance from the sun; and, lastly, the squares of the periodic times, being proportional to the cubes of the mean distances, proves that the areas described in equal times by the radius vector of each body in the different orbits,...
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Encyclopædia Americana, ed. by F. Lieber assisted by E. Wigglesworth (and T ...

Encyclopaedia Americana - 1832 - 620 pages
...possess the measure cf our whole planetary system, as, according to the second law of Kepler (qv), the cubes of the mean distances of the planets from the sun are as the squares of the periods of their revolutions (which have long been known). Therefore the...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 666 pages
...the earth's orbit became a circle. But, in the midst of all these vicissitudes, the major axes and mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. With the exception of these two elements, it appears that all the bodies are in motion, and every orbit...
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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 pages
...before the earth's orbit became a circle. But in the midst of all these vicissitudes, the major axes and mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. With the exception of these two elements, it appears that all the bodies are in motion, and every orbit...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 484 pages
...orbit became a circle. But, in the midst of all these vicissitudes, the major axes and mean motions cf the planets remain permanently independent of secular...from the sun, that one cannot vary without affecting die other. With the exception of these two elements, it appeals that all the bodies are in motion,...
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The Monthly Repository, Volume 8

Leigh Hunt - 1834 - 972 pages
...which Kepler might have apprized you that, the squares of the times of the planetary revolutions are as the cubes of the mean distances of the planets from the sun. But this was not all. It was not the tone for any mere physical truth. The enunciation was that of...
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Encyclopædia Americana: A Popular Dictionary of Arts, Sciences ..., Volume 12

Francis Lieber, Edward Wigglesworth - 1835 - 620 pages
...possess the measure of our whole planetary system, as, according to the second law of Kepler (qv), the cubes of the mean distances of the planets from the sun are as the squares of the periods of their revolutions (which have long been known). Therefore the...
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