 | John Gummere, Ezra Otis Kendall - 1854 - عدد الصفحات: 484
...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 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... | |
 | Literary and Philosophical Society of Liverpool - 1872 - عدد الصفحات: 522
...times and the distances of the planets, which is thus expressed : — The squares of the periodic times of the planets are proportional to the cubes of their mean distances. From this law it follows that the relative distances between the sun and all the planets in the solar system... | |
 | Thomas Kentish - 1854 - عدد الصفحات: 268
...conjunction with that of E. According to Kepler's famous discovery, the squares of the periodic times of the planets are proportional to the cubes of their mean distances. Now, since the line A is laid down twice, and the line E thrice, in the same space, when the slide... | |
 | Augustus William Smith - 1855 - عدد الصفحات: 368
...center of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,... | |
 | Augustus William Smith - 1855 - عدد الصفحات: 340
...center of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,... | |
 | Perry Fairfax Nursey - 1855 - عدد الصفحات: 640
...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 - عدد الصفحات: 626
...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... | |
 | 1856 - عدد الصفحات: 418
...the periodic times of the planets, that is, of the times of a complete revolution in their orbits, are proportional to the cubes of their mean distances from the sun ; in other words, that the square of the periodic time of one planet is to the square of the periodic... | |
 | Edward Hughes - 1856 - عدد الصفحات: 482
...fastest when nearest to the sun, 1 slowest when farthest from him. 3. The squares of their periodic times are proportional to the cubes of their mean distances from the sun. 8. It is with the latter of these laws alone that we are concerned at present, and its use in investigating... | |
 | John Gummere - 1857 - عدد الصفحات: 526
...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 the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on,... | |
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The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun ; that is, ti2 : k2 ,• ,• ai3 ,• (h3This is the so-called harmonic law. 
