 | Augustus Young - 1846 - 304 pages
...is an ellipse, of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. And Mr. Norton says that " The first two Kepler assumed... | |
 | Edward Bruce (bookseller.), John Bruce - 1846 - 398 pages
...the planets are ellipses, having the sun in one of their foci. 3rd The squares of the periodic times are proportional to the cubes of their mean distances from the sun. The secondary planets or satellites obey the same laws as the primary. They all move from west to east... | |
 | Roswell Park - 1847 - 632 pages
...sun, pass over equal areas in equal times ; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being... | |
 | Mary Somerville - 1849 - 568 pages
...it is probable that they really move in very long flat ellipses; others appear to move inhyperbolas, like fig. 8. The third law is, that the squares of...that number multiplied by itself, and the cube of a number is that number twice multiplied by itself. For example, the squares of the numbers 2, 3, 4,... | |
 | Archibald Sandeman - 1850 - 222 pages
...planet, are proportional to these lengths of time. (3) The squares of the periodic times of different planets are proportional to the cubes of their mean .distances from the sun, that is, of the semi-axes major of their elliptic orbits. If the sun and planets be considered material... | |
 | James M'Intire - 1850 - 352 pages
...describes areas proportional to the times. 3. That the squares of the periodic times of the earth and planets, are proportional to the cubes of their mean distances from the sun, or to the cubes of the semi-major axes of their orbits. These laws of the earth, and planets 86. Describe... | |
 | Thomas Kentish - 1852 - 258 pages
...is for the use of the line A in conjunction with that of E. According to Kepler's famous discovery, the squares of the periodic times of the planets are...proportional to the cubes of their mean distances. Now, since the line A is laid down twice, and the line E thrice, in the same space, when the slide... | |
 | Robert Grant - 1852 - 686 pages
...distance alone, and by this means to ascertain the law according to which it varied. Now, Kepler had shown that the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun ; Newton hence inferred that the planets are retained in their orbits by a force... | |
 | Auguste Comte - 1853 - 562 pages
...last his labour issued in the discovery that the squares of the times of the planetary revolutions are proportional to the cubes of their mean distances from the sun : a law which all subsequent observations have verified. One important result of this law is that we... | |
 | Literary and Philosophical Society of Liverpool - 1872 - 522 pages
...discovered, between the periodic times and the distances of the planets, which is thus expressed : — The squares of the periodic times of the planets are...proportional to the cubes of their mean distances. From this law it follows that the relative distances between the sun and all the planets in the solar system... | |
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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. 
