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" That the squares of the periodic times of the planets are in the same proportion as the cubes of their mean distances from the sun. "
Proceedings of the Canadian Institute - Page 378
by Canadian Institute - 1884
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The Life and Work of Earnest Men

William King Tweedie - 1864 - 482 pages
...orbit the moving body may be. 3. The Rquares of the periodic times of any two planets are to each other in the same proportion as the cubes of their mean distances from the sun. The mere announcement of these laws, we repeat, is enough to show how difficult and how lofty were...
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Popular Astronomy: A Series of Lectures

George Biddell Airy - 1866 - 318 pages
...planets going round the sun, we shall find that the squares of the times of revolution of the different .planets are in the same proportion as the cubes of their mean distances from the sun. That was a most important thing to establish. The second of Kepler's laws was this. In Figure 30, let...
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Manual of modern geography, mathematical, physical, and political, Volume 1

Alexander Mackay - 1870 - 382 pages
...the sun is situated. 3. The squares of the times of revolution of any two planets are to each other in the same proportion as the cubes of their mean distances from the sun. 2. If a line be drawn connecting any planet with the centre of the sun, that line—called the radius-vector—will...
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The Treasury of Science: Natural and Physical ...

Friedrich Schoedler - 1872 - 652 pages
...meanwhile traverse. 3. The squares of the times of revolution of any two planets are to each other in the same proportion as the cubes of their mean distances from the sun. The world-renowned Newton placed the key-stone upon the noble edifice jaded by his great predecessor....
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Student's Class Book of Astronomy

Francis Bullock - 1873 - 240 pages
...taken to describe them ; and (3) The squares of the Periodic Times of any two planets are to each other in the same proportion as the cubes of their Mean Distances from the sun (Lesson 6). 3. Q. What is meant by the Mean Distaace of a Planetr and Lti the Iaclination and Eccentricity...
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Manual of modern geography, mathematical, physical, and political

Alexander Mackay - 1873 - 712 pages
...planet may be moving. 3. The squares of the times of revolution of any two planeta are to ear h other in the same proportion as the cubes of their mean distances from the snn. Finally, the world-renowned Newton (horn at Woolsthorpe in Lincolnshire, in 1643) placed the keystone...
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Elements of astronomy

Hugo Reid - 1874 - 274 pages
...times of the motions. II. Each planet describes an ellipse, having the sun in one of the foci. III. The squares of the periodic times* of the planets...as the cubes of their mean distances from the sun. 455. The first of Kepler's Laws is shortly expressed as follows : — " The radius vector of a planet...
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Essays on Medicine: Being an Investigation of Homoeopathy and Other Medical ...

William Sharp - 1874 - 848 pages
...in equal times. 3rd — The squares of the times of revolution of any two planets are to each other, in the same proportion as the cubes of their mean distances from the sun. " Of all the laws," says Sir John Herschel, "to which induction from pure observation has ever conducted...
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Theory of the Moon's Motion

John Nelson Stockwell - 1875 - 74 pages
...equal times; and III. The squares of the times of revolution of the different planets are to each other in the same proportion as the cubes of their mean distances from the sun. These three laws, which were discovered by KEPLER, may be regarded as the embodiment of the theory...
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Papers and Proceedings of the Royal Society of Tasmania

Royal Society of Tasmania - 1875 - 666 pages
...which was to the effect that the "squares of the periodic times of any two planets are to each other in the same proportion as the cubes of their mean distances from the sun." This was expressed in algebraic formulae. He explained the importance of obtaining as large a base...
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