| 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.... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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,"... | |
| 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 sun, or of the semi-major axes of their orbits. These laws are known by the denomination of... | |
| John Gummere - 1842 - 516 pages
...round the sun and their mean distances from him, Kepler discovered that the squares of the periodical **times of the planets are proportional to the cubes of their mean distances** from him. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig.... | |
| John Stuart Mill - 1843 - 648 pages
...opposite angles are equal, is true of all such lines and angles, by whatever cause produced. That the **squares of the periodic times of the planets are proportional to the cubes of their** distances from the sun, is an uniformity derived from the laws of the causes which produce the planetary... | |
| James Nicol - 1844 - 152 pages
...time a planet takes to move round its orbit is named its periodic time; and the third law is, that the **squares of the periodic times of the planets are proportional to the cubes of their** distances from the sun. Thus, Mars is about four times farther from the sun than Mercury, and its time... | |
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