 | Roswell Park - 1847 - 632 páginas
...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... | |
 | Mary Somerville - 1849 - 568 páginas
...inhyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a number is that number twice... | |
 | James M'Intire - 1850 - 352 páginas
...periodic times of the planets and their mean distances from the sun. From these comparisons he found that the squares of the periodic times are proportional to the cubes of their mean distances, or to the cubes of the semi-major axes of their elliptic orbits. This law prevails among the satellites... | |
 | Archibald Sandeman - 1850 - 222 páginas
...are proportional to these lengths of time. (3) The squares of the periodic times of different planets are proportional to the cubes of their mean .distances from the sun, that is, of the semi-axes major of their elliptic orbits. If the sun and planets be considered material... | |
 | Anna Cabot Lowell - 1850 - 412 páginas
...in inverse proportion to the squares of the radii. Hence we have which is Kepler's third law, that the squares of the periodic times are proportional to the cubes of the mean distances. This same proposition gives us the mass of two attracting bodies, the orbits and... | |
 | Robert Grant - 1852 - 686 páginas
...that a line joining the planet and the sun sweeps over equal areas in equal times; the third, that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. Kepler was conducted to the first and second of these laws by researches... | |
 | Auguste Comte - 1853 - 562 páginas
...last his labour issued in the discovery that the squares of the times of the planetary revolutions are proportional to the cubes of their mean distances from the sun : a law which all subsequent observations have verified. One important result of this law is that we... | |
 | John Gummere, Ezra Otis Kendall - 1854 - 484 páginas
...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 the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on opposite... | |
 | Perry Fairfax Nursey - 1855 - 640 páginas
...simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ; from which Newton, having already established in accordance with the two first laws, the truth that... | |
 | 1855 - 626 páginas
...simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ¡ from which Newton, having already established in accordance with the two first laws, the truth that... | |
| |
The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
