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" The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. "
The Cambridge Modern History - Page 683
edited by - 1908
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The American Cyclopædia: A Popular Dictionary of General Knowledge, Volume 2

George Ripley, Charles Anderson Dana - Encyclopedias - 1879 - 836 pages
...continually drawn from the sun to any given planet, this line will sweep over equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances. In the mean time the telescope had been invented, and when less than one year...
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A short history of natural science

Arabella Burton Fisher - 1879 - 550 pages
...64. This law holds equally true of all the planets, and is expressed in scientific language thus : ' The squares of the periodic times of the planets are proportional to the cubes of their distances' These three laws of Kepler were very great discoveries ; especially the last one,...
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A Naval Encyclopædia: Comprising a Dictionary of Nautical Words and Phrases ...

Naval art and science - 1880 - 1054 pages
...ellipse, having one of its foci in the sun. 2d. That equal areas are described in equal times. 3d. That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Kerfe. The notch or slit made in cutting or sawing timber. Kerguelen's...
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The System of Calculating Diameter, Circumference, Area, and Squaring the ...

James Morton - Circle-squaring - 1881 - 236 pages
...other ; so that equal areas of the orbit are described by the planets in equal times. Third Law. — That the squares of the periodic times of the planets are proportional to the cubes of their major axis or of their mean distances. (Seventy-eight years after Kepler's discoveries, Newton...
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Popular scientific recreations, tr. and enlarged from 'Les récréations ...

Gaston Tissandier - 1882 - 830 pages
...from the sun, continually, to any planet, this line will sweep over equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Kepler also remarked that gravity was a power existing between all...
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The Great Inventions: Their History, from the Earliest Period to the Present ...

Franc Bangs Wilkie - Inventions - 1883 - 700 pages
...the planet (radius vector) describes equal areas in equal times ; and some years later, he discovered that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These are known as the three laws of Kepler; the last was discovered...
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Geography Generalised; Or, An Introduction to the Study of Geography on the ...

Robert Sullivan - Geography - 1884 - 510 pages
...be about 10 times the apparent diameter of the sun from each other, they are about 5 degrees apart. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Hence, as the distance of the earth from the sun has been found...
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Elementary Text-books of Physics

William Arnold Anthony, Cyrus Fogg Brackett - Physics - 1884 - 276 pages
...II. The radius vector drawn from the sun to the planet sweeps out equal areas in equal times. III. The squares of the periodic times of the planets are proportional to the cubes of their distances from the sun. Kepler could give no physical reason for the existence of such laws....
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The hundred greatest men: portraits, reprod. from steel engravings

Hundred greatest men - 1885 - 530 pages
...second law is that planeta describe equal areas about their centre in equal times ; and the third law is that the squares of the periodic times of the planets are proportional to the cubes of their distances. Even if Kepler had never turned his attention to the heavens, his optical labours...
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Praktik handbok för alla utarbetad af sakkunniga personer: under redaktion ...

Wilhelm Kôersner - Science - 1886 - 904 pages
...in one of the two foci. (2) Radius-vector of each planet sweeps over equal areas in equal times. (3) The squares of the periodic times of the planets are proportional to the cubes of their mean distance from the sun. Keratin. A horny, insoluble, sulphur-containing protein of outer...
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