 | Colin MacLaurin - Calculus - 1801 - 506 pages
...planet to the sun in equal times are equal, and the squares of the periodic times of the different planets are as the cubes of their mean distances from the sun (as was observed by the famous Kepler), and because the same laws obtain in the motions of the satellites... | |
 | 1844 - 784 pages
...law discovered by Kepler, which we have already noticed, namely : ' That the squares of the periodic times of the revolutions of the planets, are as the cubes of their distances,' is a law which is established ou the most accurate observations, and by which all the planets,... | |
 | George Gregory - Astronomy - 1808 - 452 pages
...star or sun is at S, which is one of the foci. The second law of Kepler is, that the square of 'the times of the revolutions of the planets are as the cubes of their distances from the sun. That is, if we compare the square of the time which any two of the primary... | |
 | William Enfield - Astronomy - 1811 - 476 pages
...the squares of those distances. It appears from observation, that the squares of the periodical times of the planets are as the cubes of their mean distances from the sun. For example, Saturn's periodical time being found to be to Jupiter's about as 30 to 12, and the distance... | |
 | Samuel Vince - Astronomy - 1811 - 260 pages
...agreement between them. Thus he discovered that famous law, That the squares of the periodic times of all the planets are as the cubes of their mean distances from the sun. Sir I. Newton afterwards proved that this is a necessary consequence of the motion of a body in an... | |
 | Jedidiah Morse - Geography - 1814 - 696 pages
...portions of the space, contained within the planet's orbit. 2. " The squares of the periodical times ot the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to describe its orbit, is to the square... | |
 | Samuel Vince - Astronomia - 1814 - 602 pages
...agreement between them. Thus he discovered the famous Law, That the squares of the periodic times of all the planets are as the cubes of their mean distances from the sun. Sir I. NEWTON afterwards proved that this is a necessary consequence of the motion of a body in an... | |
 | George Gregory - Science - 1820 - 458 pages
...star or sun is at S, which is one of the foci. The second law of Kepler is, that the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun. That is, if we compare the square of the time which any two of the primary planets occupy in completing... | |
 | Sidney Edwards Morse - Atlases - 1822 - 706 pages
...portions of the space, contained within the planet's orbit. 2. *' The squares of the periodical times of the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to 'describe its orbit, is to the square... | |
 | John Playfair - Science - 1822 - 458 pages
...planet describes equal areas in equal times. The third and last, that the squares of the periodic times of the planets are as the cubes of their mean distances from the sun. The knowledge of each of these was the result of much research, and of the comparison of a vast multitude... | |
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That the planets all move in elliptic orbits, of which the sun occupies one of the foci. 3. That the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun. 
