 | 1856 - 418 pages
...the periodic times of the planets, that is, of the times of a complete revolution in their orbits, are proportional to the cubes of their mean distances from the sun ; in other words, that the square of the periodic time of one planet is to the square of the periodic... | |
 | John Gummere - 1857 - 526 pages
...mean distances from him, Kepler discovered that the squares of the periodical times of the planets are proportional to the cubes of their mean distances from the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on,... | |
 | W. Smyth - 1859 - 250 pages
...the sun in one of their foci. 3°. The squares of the times of the revolutions of the planets about the sun, are proportional to the cubes of their mean distances from the sun. 184. From these laws, derived from observation, Newton deduced the law of universal gravitation. We... | |
 | George Ripley, Charles Anderson Dana - 1860 - 816 pages
...containing the third of his celebrated laws, viz. : that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Such was the transport with which this discovery, which for 17 years had baffled all his skill and... | |
 | 1861 - 600 pages
...proportional to the times of describing them ; and that the squares of the periods of different planets are proportional to the cubes of their mean distances from the sun, — he may well be excused the exultation with which he announced the completion of his discoveries,... | |
 | Anonymous - 1861 - 604 pages
...proportional to the times of describing them ; and that the squares of the periods of different planets are proportional to the cubes of their mean distances from the sun, — he may well be excused the exultation with which he announced the completion of his discoveries,... | |
 | P. McGregor - 1862 - 496 pages
...from the Sun is readily ascertained from the law that the squares of the times of their revolutions round the Sun, are proportional to the cubes of their mean distances, a law which is a necessary consequence of those of motion and gravitation. The distance and apparent... | |
 | Augustus William Smith - 1863 - 340 pages
...of the sun is one of the foci. 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi.major axes of their orbits. These laws relate only to the center of inertia of each planet,... | |
 | William Chauvenet - 1864 - 726 pages
...their revolutions about the sun, since, by KEPLER'S third law, the squares of their periodic times are proportional to the cubes of their mean distances from the sun, that is, to the cubes of the serai-major axes of their orbits. The ratios of these distances are therefore... | |
 | William Chauvenet - 1864 - 720 pages
...their revolutions about the sun, since, by KEPLER'S third law, the squares of their periodic times are proportional to the cubes of their mean distances from the sun, that is, to the cubes of the semi-major axes of their orbits. The ratios of these distances are therefore... | |
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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. 
