| 1977
...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.... | |
| John Bonnycastle - 1816 - 428 sivua
...the most accurate observations, he discovered, 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 - 1831 - 621 sivua
...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 - 1834 - 144 sivua
...series of the most accurate observations, that the squares of the periods, in which any two planets **complete their revolutions in their orbits, are proportional...proportion requires illustration. Let the period of** the Earth's revolution, be called 12 months, and the period of Mercury's revolution, 3 months. By the... | |
| Mary Somerville - 1834 - 458 sivua
...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 - 458 sivua
...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... | |
| Hugh Murray - 1837
...From Kepler's 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 is independent of the eccentricities of the orbits; and the same relation would subsist between... | |
| William Augustus Norton - 1839 - 373 sivua
...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.... | |
| Roswell Park - 1841 - 587 sivua
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution **are proportional to the cubes of their mean distances from the sun.** By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being... | |
| Ezra Otis Kendall - 1845 - 365 sivua
...in making a revolution. Kepler discovered that the squares of the periodic times of any two planets **are proportional to the cubes of their mean distances from the sun.** Take, for example, the Earth and Mars, whose periods are 365.2504 and 686.9796 days, and whose distances... | |
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