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" Kepler also deduced from observation, that the squares of the periodic times of the planets, or the times of their revolutions round the sun, are proportional to the cubes of their mean distances from... "
The Connection of the Physical Sciences - Page 10
by Mary Somerville - 1834 - 356 pages
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The Story of the Stars: A Descriptive Astronomy

Joel Dorman Steele - 1884 - 352 pages
...and he reached (1018) the third law — 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.* In rapture over the discovery of these three laws, so marked by that Divine simplicity which...
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Home Culture: A Self-instructor and Aid to Social Hours at Home, Comprising ...

Thomas Hunter - 1884 - 670 pages
...passes over equal spaces in equal times. (3) 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 (1571-1630). 4. He discovered the law of the pendulum and of falling bodies, and constructed...
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Celestial Motions: A Handy Book of Astronomy

William Thynne Lynn - 1889 - 164 pages
...areas of the ellipse proportional to the time of sweeping ; the third that the squares of the periodic times of their revolutions round the Sun are proportional to the cubes of their mean distances from him. The first two of these laws were shown by Newton to be necessary consequences of their being attracted...
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Differential and Integral Calculus: With Applications

Sir George Greenhill - 1891 - 494 pages
...in equal times. The third law of Kepler — (iii.) the squares of the periodic times of the planets round the Sun are proportional to the cubes of their mean distances — was easily inferred by arithmetical calculation, when once the distances of the planets from the...
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Pushing to the Front: Or, Success Under Difficulties; a Book of Inspiration ...

Orison Swett Marden - 1894 - 480 pages
...over equal 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...
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The Complete Compendium of Universal Knowledge: Containing All You Want to ...

William Ralston Balch - 1895 - 836 pages
...equal times." The third law is, that " The squares of ike 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...
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Pushing to the Front, Or, Success Under Difficulties: A Book of Inspiration ...

Orison Swett Marden - 1896 - 490 pages
...over equal 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...
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Pushing to the Front, Or Success Under Difficulties: A Book of Inspiration ...

Orison Swett Marden - 1896 - 488 pages
...over equal 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...
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Stars and Telescopes: A Hand-book of Popular Astronomy, Founded on the 9th ...

David Peck Todd - 1899 - 494 pages
...ellipse in equal times, as the figure shows ; (3) the squares of the periodic times of the planets' revolutions round the Sun are proportional to the cubes of their mean distances from him. The first two of these laws were shown by NEWTON to be necessary consequences of the planets being...
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A Short History of Astronomy

Arthur Berry - 1899 - 578 pages
...third law : — The squares of the times of revolution of any two planets (including the earth) about the sun are proportional to the cubes of their mean distances from the sun. If, for example, we express the times of revolution of the various planets in terms of any...
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