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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. "
A Treatise on the Motion of a Single Particle, and of Two Particles Acting ... - Page 86
by Archibald Sandeman - 1850 - 190 pages
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The Elementary Principles of Mechanics, Volume 1

Augustus Jay Du Bois - Mechanics - 1894 - 286 pages
...equal areas in equal times. III. The " Harmonic Law," so called. The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. The second law, as we have seen (page 130), is a necessary consequence of central acceleration. From...
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Pushing to the Front: Or, Success Under Difficulties; a Book of Inspiration ...

Orison Swett Marden - Conduct of life - 1894 - 480 pages
...spaces in equal times, and that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. This boy with no chance became one of the world's greatest astronomers. "When 1 found that I was black,"...
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Progress of Science: Its Origin, Course, Promoters, and Results

J. Villin Marmery - Science - 1895 - 444 pages
...times (1609) ; III. The squares of the period of complete revolution, or periodic times of any two planets, are proportional to the cubes of their mean distances from the sun — or, the squares of the periodic times of the planets are proportional to the cubes of their distances...
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The Complete Compendium of Universal Knowledge: Containing All You Want to ...

William Ralston Balch - Bookbinding - 1895 - 830 pages
...times." The third law is, that " The squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun." Galileo was contemporary with Kepler. • He discovered the laws of the pendulum and of falling bodies....
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Poetry Realized in Nature: Samuel Taylor Coleridge and Early Nineteenth ...

Trevor H. Levere, Trevor Harvey Levere - Science - 2002 - 296 pages
...equal areas in equal times. 3. The squares of the periods of rotation of the planets about the sun are proportional to the cubes of their mean distances from the sun. Steffens reversed this order, so that his first law was Kepler's third. His derivation was based, obscurely...
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Frame of the Universe

Frank Durham, Robert D. Purrington - Computers - 1985 - 300 pages
...out equal areas in equal times. The Third Law, the harmonic law. The squares of the periods of the planets are proportional to the cubes of their mean distances from the Sun. This can be written T* = kd i or T = k'd 3lt . In the solar system, with T in years and distance in...
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The Awesome Life Force: The Hermetic Laws of the Universe as Applied to All ...

Joseph H. Cater - Philosophy - 1984 - 498 pages
...calculated by the use of Kepler's third law, which states that "the square of the periods of any two planets are proportional to the cubes of their mean distances from the sun." Since the orbital periods of the planets are known with a reasonable accuracy, most of the other unknowns...
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Superforce

Paul Davies - Science - 1985 - 269 pages
...relationships governing the motions of the planets, such as the fact that the squares of the orbital periods are proportional to the cubes of their mean distances from the sun. All this culminated in Newton's establishment of the laws of mechanics and gravity. He found that gravity...
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The Birth of a New Physics

I. Bernard Cohen - History - 1985 - 280 pages
...which states that the squares of times of revolution of any two planets around the sun (earth included) are proportional to the cubes of their mean distances from the sun. In mathematical language, we may say that "T* is always proportional to D 3 " or ~ K D3 where AT is...
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The Galileo Connection

Charles E. Hummel - Religion - 1986 - 300 pages
...we now call his third law of motion: For any two planets, the squares of their periods of revolution are proportional to the cubes of their mean distances from the sun. Kepler was especially pleased with that law because it neatly linked the planetary distances with their...
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