 The radius vector of each planet describes equal areas in equal times. (3) The squares of the periods of the planets are proportional to the cubes of their mean distances from the su» ; ie, £12 : ia2 : : «!3 : a28. This is the so-called "Harmonic Law.  The Elements of Astronomy: A Textbook - Сторінка 172автори: Charles Augustus Young - 1903 - 464 стор.Повний перегляд - Докладніше про цю книгу
 | Western Literary Institute and College of Professional Teachers - 1837 - 286 стор.
...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 age can say, "God exists," but... | |
 | John Gummere - 1842 - 516 стор.
...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 him. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24,... | |
 | Anna Cabot Lowell - 1850 - 412 стор.
...of all the planets are ellipses, of which the sun occupies one focus. II. The radius vector of the planet describes equal areas in equal times. III. The squares of the periodic times are as the cubes of the mean distances of the planets, or as the cubes of the major... | |
 | Thomas Kentish - 1852 - 272 стор.
...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... | |
 | Literary and Philosophical Society of Liverpool - 1872 - 522 стор.
...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 - 268 стор.
...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... | |
 | 1864 - 286 стор.
...reverse is the case. This may be deduced from Xeplcr's third law, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances, — a law which is proved, from mechanical considerations, to bo true of all cases of planetary motion.... | |
 | George Frederick Chambers - 1867 - 888 стор.
...planets describe equal areas of their orbits in equal times. 3. Tlie squares of the periodic times of the planets are proportional to the cubes of their mean distances. These laws hold good for all the planets and all their satellites. I have already referred in general... | |
 | Literary and Philosophical Society of Liverpool - 1872 - 530 стор.
...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... | |
 | Literary and Philosophical Society of Liverpool - 1872 - 538 стор.
...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... | |
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