 | James Jeans - Mechanics, Analytic - 1907 - 375 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... | |
 | James Jeans - Mechanics, Analytic - 1907 - 388 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... | |
 | John Ellard Gore - Astronomy - 1907 - 412 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... | |
 | William Ralph Boyce Gibson, Augusta Klein - Logic - 1908 - 520 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... | |
 | William Ralph Boyce Gibson, Augusta Klein - Logic - 1908 - 524 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... | |
 | Hamilton Association for the Cultivation of Science, Literature and Art - Science - 1908 - 644 pages
...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... | |
 | Federigo Enriques, Katharine Head Royce - Science - 1914 - 416 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,... | |
 | Federigo Enriques - Logic - 1914 - 446 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,... | |
 | Encyclopedias and dictionaries - 1919 - 878 pages
...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... | |
 | Paul Carus - Electronic journals - 1920 - 644 pages
...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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The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... 
