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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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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 666 pages
...therefore, is the centre of a force extending inuoiinitely in space, and including all the bodies of the system in its action. Kepler also deduced from...planets, or the times of their revolutions round the sun, ate proportional to the cubes of their mean distances from his centre : whence it follows that the...
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On the Connexion of the Physical Sciences

Mary Somerville - 1835 - 532 pages
...system in its action. Kepler also deduced from observation, that the squares of the periodic times2 of the planets, or the times of their revolutions...proportional to the cubes of their mean distances from his centre.3 Hence the intensity of gravitation of all the bodies towards the sun is the same at equal...
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On the Connexion of the Physical Sciences

Mary Somerville - 1840 - 858 pages
...therefore, is the centre of a force extending indefinitely in space, and including all the bodies of the system in its action. Kepler also deduced from...observation, that the squares of the periodic times l of the planets, or the times of their revolutions round the sun, are proportional to the cubes of...
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Mechanical Philosophy, Horology and Astronomy

William Benjamin Carpenter - 1843 - 604 pages
...perceived that the relation was as follows : — The squares of the times in which the planets revolve round the sun, are proportional to the cubes of their mean distances from the centre. This will be best explained by an example. The mean distance of Jupiter from the sun is...
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Popular cyclopaedia of natural science (by W.B. Carpenter).

William Benjamin Carpenter - 1843 - 290 pages
...perceived that the relation was as follows:—The sgtiares of the times in which the planets revolve round the sun, are proportional to the cubes of their mean distances from the centre. This will be best explained by an example. The mean distance of Jupiter from the sun is...
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On the Connexion of the Physical Sciences

Mary Somerville - 1849 - 568 pages
...therefore, is the centre of a force extending indefinitely in space, and including all the bodies of the system in its action. Kepler also deduced from...observation, that the squares of the periodic times (N. 25) of the planets, or the times of their revolutions round the sun, are proportional to the cubes...
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The Dynamical Theory of the Formation of the Earth, Volume 2

Archibald Tucker Ritchie - 1850 - 678 pages
...conic sections. And Kepler, likewise, deduced, that the squares of the periodic times of the planets round the sun are proportional to the cubes of their mean distances from his centre. Hence the intensity of gravitation of all bodies towards the sun is the same at equal distances. "...
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Elements of Analytical Mechanics

William Holms Chambers Bartlett - 1853 - 462 pages
...one of its foci in the sun's centre. III. That the squares of the periodic times of the planets about the sun are proportional to the cubes of their mean distances from that body. These are called the laws of Kepler, and lead directly to a knowledge of the nature of the...
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Mechanics' Magazine, Volume 63

1855 - 626 pages
...His third law simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ¡ from which Newton, having already established in accordance with the two first laws, the...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 63

Perry Fairfax Nursey - 1855 - 640 pages
...His third law simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ; from which Newton, having already established in accordance with the two first laws, the...
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