 | New Church gen. confer - 1855 - 590 pages
...present 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... | |
 | Encyclopedias and dictionaries - 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 the Orbit j of the Comets. OF all the celestial bodies,... | |
 | John Farrar - Astronomy - 1827 - 464 pages
...the force is in this ratio, the curve is a conic section. 3d. The squares of the times of revolution of the planets are proportional to the cubes of the major axes of their orbits ; or what amounts to the same thing, the areas described in equal times in different orbits, are proportional... | |
 | Mary Somerville - Astronomy - 1831 - 710 pages
...the orbits of the planets and comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts... | |
 | Mary Somerville - Celestial mechanics - 1831 - 720 pages
...indefinitely small time dt, is J cdt ; hence 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... | |
 | Mary Somerville - Physical science - 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 are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing... | |
 | Mary Somerville - Physical sciences - 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 are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing... | |
 | Western Literary Institute and College of Professional Teachers - Education - 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 are proportional to the cubes of their mean distances from the sun's centre! ' These are subsequent efforts. A child of four years of... | |
 | John Stuart Mill - Knowledge, Theory of - 1843 - 654 pages
...other the 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... | |
 | James Nicol - Science - 1844 - 152 pages
...aphelion. The 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... | |
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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. 
