| William Brown - Jews - 1823 - 532 pages
...explained; philosophers having shown that the planetary motions are so regulated, that the squares of the times, in which the planets revolve round the sun, are always proportional to the cubes of their mean distances from that body: a fact which is in perfect... | |
| James M'Intire - Globes - 1826 - 234 pages
...from the sun. The distance of any planet from the sun may be found by Kepler's rule. Thus, the squares of the times in which the planets revolve round the sun are as tne cubes of their mean distances from him; or, the square of the time in which the earth revolves... | |
| Mary Somerville - Celestial mechanics - 1831 - 720 pages
...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 his centre : whence it follows, that the intensity of gravitation of all the bodies towards the sun... | |
| Mary Somerville - Physical science - 1834 - 390 pages
...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 his centre : whence it follows that the intensity of gravitation of all the bodies towards the sun... | |
| William Benjamin Carpenter - Astronomy - 1844 - 604 pages
...kind ; and after many efforts, Kepler perceived that the relation was as follows : — Tke squares of the times in which the planets revolve round the...of Jupiter from the sun is almost exactly 5'2 (or 5-J-) times that of the earth ; consequently, reckoning the latter as 1, the culies of their mean distances... | |
| Mary Somerville - Science - 1846 - 496 pages
...that the squares of the periodic times (N. 25) of the planets, or the times of their revolutions ^ound the sun, are proportional to the cubes of their mean distances from his center (N. 26). Hence the intensity of gravitation of all the bodies toward the sun is the same... | |
| Mary Somerville - Physical sciences - 1849 - 568 pages
...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 of their mean distances from its centre (N. 26). Hence the intensity of gravitation of all the bodies towards the sun is the same... | |
| Archibald Tucker Ritchie - Cosmogony - 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.... | |
| William Holms Chambers Bartlett - Mechanics, Analytic - 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... | |
| Technology - 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 truth... | |
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