 | 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.... | |
 | New Church gen. confer - 1855 - 590 pages
...planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not seen.... | |
 | John Bonnycastle - 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... | |
 | 1823 - 894 pages
...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 the Orbit j of the Comets. OF all the celestial bodies,... | |
 | Mary Somerville - 1831 - 710 pages
...is J cdt ; hence the law of Kepler gives ^ cdt: V~ : T -, whence c 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* = K> a\ k being the same for all the planets. (85) 03. Hence c = but 2a (1 — e1) is... | |
 | Hervey Wilbur - 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 - 1834 - 390 pages
...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 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... | |
 | Mary Somerville - 1834 - 666 pages
...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 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 - 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,... | |
 | Western Literary Institute and College of Professional Teachers - 1837 - 286 pages
...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 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... | |
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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. 
