| Nautical astronomy - 1977 - 1412 pages
...sweeps 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.... | |
| Charles Hutton - Astronomy - 1815 - 686 pages
...their periods round him ; the great law of which is, that the squares of the periodic times are always **proportional to the cubes of their mean distances from the sun. , The** periods, both tropical and sidereal, with the proportions of the mean distances of the several planets,... | |
| John Bonnycastle - Astronomy - 1816 - 490 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... | |
| Mary Somerville - Celestial mechanics - 1831 - 720 pages
...the law of 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... | |
| Hervey Wilbur - Astronomy - 1831 - 170 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 - Physical sciences - 1834 - 666 pages
...conic sections, 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 - 172 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 - Astronomy - 1835 - 532 pages
...appear to move in hyperbolas, like fig. 8. The third law is, that the squares of the periodic times **of the planets are proportional to the cubes of their...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,... | |
| Western Literary Institute and College of Professional Teachers - Education - 1837 - 286 pages
...than it would lead him to the knowledge of the Keplerian law, that the squares of the periodic times **of the planets are proportional to the cubes of their mean distances from the** sun's centre! ' These are subsequent efforts. A child of four years of age can say, "God exists," but... | |
| William Augustus Norton - Astronomy - 1839 - 534 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. These laws are known by the denomination of Kepler's Laws.... | |
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