| Nautical astronomy - 1977
...over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets **are proportional to the cubes of their mean distances from the sun. In** 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets.... | |
| John Bonnycastle - 1816 - 428 pages
...that the squares of the times in which any two planets complete their revolutions in their orbits, **are proportional to the cubes of their mean distances from the sun.** To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and... | |
| John Farrar - Astronomy - 1827 - 420 pages
...probable by a reference to the third law of Kepler, that the squares of the times of the revolutions **of the planets about the sun, are proportional to the cubes of their mean distances.** The earth, on the supposition " that it is in motion about the sun, is included in this law. It is... | |
| Mary Somerville - Astronomy - 1831 - 621 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... | |
| Hervey Wilbur - Astronomy - 1831 - 144 pages
...the squares of the periods, in which any two pla* nets complete their revolutions in their orbits, **are proportional to. the cubes of their mean distances from the Sun.** \ This proportion requires illustration. Let the period of tha Earth's revolution, be called 12 months,... | |
| Mary Somerville - Celestial mechanics - 1831 - 621 pages
...Kepler gives whence (85) But, by Kepler's third law, the. squares of the periodic times of the planets **are proportional to the cubes of their mean distances from the sun** ; therefore T' = *" a\ k being the same for all the planets. Hence c == but 2a (1 — e*) is 2SV, the... | |
| Mary Somerville - Physical sciences - 1834 - 458 pages
...having the sun in one of their foci ; and third, that the squares of the periodic times of the planets **are proportional to the cubes of their mean distances from the sun.** These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which is not... | |
| Hervey Wilbur - Astronomy - 1834 - 144 pages
...that the squares of the periods, in which any two planets complete their revolutions in their orbits, **are proportional to the cubes of their mean distances from the Sun.** This proportion requires illustration. Let the period of the Earth's revolution, be called 12 months,... | |
| Mary Somerville - Physical science - 1834 - 458 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... | |
| John Henry Pratt - Gravitation - 1836 - 616 pages
...the same orbit, proportional to the time of describing them. III. The squares of the periodic times **of the planets about the Sun are proportional to the cubes of** the mean distances. We shall shew how we are led by these empiric laws to conjecture respecting the... | |
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