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" areas in equal times. 2. The orbits of the planets are ELLIPSES, having the sun in one of the foci. 3. The squares of the periodic times of the planets are in the same proportion as the cubes of, their mean distances from the sun. "
Elements Or Physical Geography: With Outlines of Geology, Mathematical ... - Page 124
by Hugo Reid - 1851 - 144 pages
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A System of Mechanical Philosophy, Volume 3

John Robison - Astronomy - 1822 - 842 pages
...about the law of the solar force were founded on much easier observations. Kepler's third law is, that the squares of the periodic times of the planets are in the same proportion with the cubes of their mean distances from tJte Sun. Thus, Mars is nearly four times as far from the...
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A System of Mechanical Philosophy, Volume 3

John Robison - Astronomy - 1822 - 860 pages
...the law of the solar force were founded on much easier observations. Kepler's third law is, that tJie squares of the periodic times of the planets are in the same proportion with the cubes oftlieir mean distances from the Sun. Thus, Mars is nearly four times as far from the...
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Astronomy

sir John Frederick W. Herschel (1st bart.) - 1833 - 500 pages
...following proposition: — " 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." Take, for example, the earth and Mars*, whose periods are in the proportion of 3052564 to 6809796,...
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A Treatise on Astronomy

Sir John Frederick William Herschel - Astronomy - 1838 - 444 pages
...following proposition:—" 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." Take, for example, the earth and Mars,* whose periods are in the proportion of 3652564 to 6869796,...
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...body as their common centre of motion, the squares of their periodical times will be to each other in the same proportion as the cubes of their mean distances from the central body ; and hence the following rule :— As the square of the earth's periodical or annual...
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Elements of Astronomy

Hugo Reid - 1842 - 180 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. 274. The first of KEPLER'S LAWS is shortly expressed as follows:—" The radius vector of a planet...
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Caloric: Its Mechanical, Chemical, and Vital Agencies in the Phenomena of ...

Samuel Lytler Metcalfe - Heat - 1843 - 1198 pages
...iii. Sect. 7.) strated 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,—a law which has been found equally true of satellites and their primaries,—if we except the...
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Caloric: Its Mechanical, Chemical, and Vital Agencies in the ..., Volume 1

Samuel Lytler Metcalfe - Heat - 1843 - 498 pages
...iii. Sect. 7.) strated 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,—a law which has been found equally true of satellites and their primaries,—if we except the...
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An introduction to geography and astronomy, with the use of the globes, by E ...

Edward Bruce (bookseller.), John Bruce - Astronomy - 1846 - 398 pages
...the centre of a planet to the centre of the un describes equal areas round him in equal times. 2nd. The orbits of the planets are ellipses, having the sun in one of leir foci. 3rd The squares of the periodic times are proportional to the cubes f their mean distances...
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Outlines of Astronomy

John Frederick William Herschel - Astronomy - 1849 - 672 pages
...following proposition:—" 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." Take, for example, the Earth and Mars,* whose periods are in the proportion of 3G52564 * The expression...
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