 | 1977 - 1412 sidor
...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 - 490 sidor
...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 - 720 sidor
...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 - 172 sidor
...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 - 484 sidor
...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 - 390 sidor
...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 - 612 sidor
...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 - 530 sidor
...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 - 722 sidor
...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 - 408 sidor
...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... | |
| |
The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
