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Books Books 61 - 70 of 121 on The third, viz. that the squares of the periodic times are proportional to the cubes....
" The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... "
History of Astronomy - Page 53
by George Forbes - 1909 - 200 pages
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An Elementary Treatise on Theoretical Mechanics

Sir James Hopwood Jeans - Mechanics, Analytic - 1907 - 364 pages
...earth. 5. Assuming that the planets describe circles round the sun with different periodic times, such that the squares of the periodic times are proportional to the cubes of the radii of the circles, show that the accelerations of the planets are inversely proportional to the...
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Astronomical Essays Historical and Descriptive

John Ellard Gore - Astronomy - 1907 - 342 pages
...many attempts, he at last arrived at the following result : the squares of the periods of revolution are proportional to the cubes of the mean distances from the sun. This is the famous third law of Kepler, and its truth has been abundantly verified by all subsequent...
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The Problem of Logic

William Ralph Boyce Gibson, Augusta Klein - Logic - 1908 - 500 pages
...drawn from it to the sun passes over equal areas in equal times. To these Kepler added a third : 3. The squares of the periodic times are proportional to the cubes of the mean distances from the sun (the periodic time being the time which the planet requires for the completion of its orbit) — T2...
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The Problem of Logic

William Ralph Boyce Gibson - Logic - 1908 - 500 pages
...drawn from it to the sun passes over equal areas in equal times. To these Kepler added a third : 3. The squares of the periodic times are proportional to the cubes of the mean distances from the sun (the periodic time being the time which the planet requires for the completion of its orbit) — T2...
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Journal and Proceedings, Issues 24-27

Hamilton Association for the Cultivation of Science, Literature and Art - Science - 1908
...the distance of all the others follows as a natural consequence of the discovery of Kepler's great law, that : " The squares of the periodic times are...proportional to the cubes of the mean distances." The task, therefore, is only to find out the scale upon which the solar fysteni has been formed, as...
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Problems of Science

Federigo Enriques - Logic - 1914 - 392 pages
...The areas described by the radius vectors are proportional to the time taken in describing them. 3. The squares of the periodic times are proportional to the cubes of the major axes. The same laws apply to the relative motions of the satellites of Jupiter and of other planets,...
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The Encyclopedia Americana: A Library of Universal Knowledge, Volume 13

Encyclopedias and dictionaries - 1919
...third, that the distances of the various planets are so related to the periods of their revolution that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. From these laws Newton made the following deductions : He inferred from the second law that the planet...
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The Monist, Volume 30

Paul Carus - Philosophy - 1920
...easily find that T is proportional to a3/2 or that T2 is proportional to a8. This expresses Kepler's third law that the squares of the periodic times are proportional to the cubes of the major axes ; and, in the fourth theorem of the tract of 1684, Newton proved this law of Kepler and...
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Kepler

Walter William Bryant - 1920 - 62 pages
...exactly the sesquiplicate proportion of the mean distances of the orbits," or as generally given, " the squares of the periodic times are proportional to the cubes of the mean distances." Kepler was evidently transported with delight and wrote, " What I prophesied two and twenty years ago,...
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ELEMENTARY FUNCTIONS AND APPLICATIONS

ARTHUR SULLIVAN GALE, CHARLES WILLIAM WATKEYS - 1920
...planetary motion states that for different planets the squares of the times of describing their orbits are proportional to the cubes of the mean distances from the sun. That is ^ = jy ELEMENTARY FUNCTIONS 15. If the distance of the earth from the sun changed from 93,000,000...
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