 | 1823 - 894 pages
...some relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of tit Orbits of tie Comets. OF all the celestial bodies,... | |
 | Mary Somerville - 1834 - 666 pages
...orbits of the planets and comets are conic sections, having the sun in one of their foci; and third, that the squares of the periodic times of the planets...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... | |
 | Mary Somerville - 1834 - 390 pages
...orbits of the planets and comets are conic sections, having the sun in one of their foci; and third, that the squares of the periodic times of the planets...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... | |
 | Mary Somerville - 1834 - 484 pages
...orbits of the planets and comets are conic sections, having the sun in one of their foci; and third, that the squares of the periodic times of the planets...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... | |
 | Jean-Louis Boucharlat - 1836 - 474 pages
...proportional to the times of description* 3°. The squares of the times of revolution of the several planets are. proportional to the cubes of their mean distances from the sun. 496. The first of these laws, as will be demonstrated, is a particular case resulting from the more... | |
 | Western Literary Institute and College of Professional Teachers - 1837 - 286 pages
...the thought conveyed by it, any more than it would lead him to the knowledge of the Keplerian law, that the squares of the periodic times of the planets...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... | |
 | Hugh Murray - 1837 - 618 pages
...between them. From Kepler'e third law, we know that the squares of the periodical times of any two of the planets are proportional to the cubes of their mean distances from the sun. This law ie independent of the eccentricities of the orbits ; and the same relation would subsist between... | |
 | Richard Brookes - 1838 - 840 pages
...Olbers in 1807. * It was first discovered by Kepler, a Prussian astronomer, that the squares of the I periodic times of the planets are proportional to the cubes of their mean distances from the sun. The following Table shows the distances of the planets from the sun ; with their magnitudes and periods,... | |
 | William Augustus Norton - 1839 - 530 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 sim, or of the semi-major axes of their orbits. These laws are known by the denomination of Kepler's... | |
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That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. 
