 | William Nicholson - 1809 - 716 σελίδες
...numbers by which they are expressed, he found that the squares of the times of the revolutions of the planets are to each other as the cubes of their mean distances from the sun ; and that the same law applies equally to their satellites. See KBPLER. At the same time also that... | |
 | Jedidiah Morse - 1814 - 696 σελίδες
...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 of the time,... | |
 | Edward Polehampton - 1815 - 592 σελίδες
...discovered his third fundamental law; namely, III. The squares of the times of the revolutions of the planets are to each other as the cubes of their mean distances. The ellipses, which the planets describe, however, are not unalterable. Their major axes appear to... | |
 | John Bonnycastle - 1816 - 490 σελίδες
...of the periodic times, in which the planets perform their annual revolutions, are in proportion to each other as the cubes of their mean distances from the sun; so that the distance of any one of them being known, the distance of any other may be easily determined.... | |
 | William Nicholson - 1819 - 370 σελίδες
...numbers by which they are expressed, he found that the squares of the times of the revolutions of the planets are to each other as the cubes of their mean distances from the sun; and that the same law applies equally to their satellites. See KEFLF.R. At the same time also that... | |
 | 1824 - 604 σελίδες
...other body in the whole compass of space. This law, viz. that the squares of the periodic times of the planets are to each other as the cubes of their mean distances from the central body, was first discovered by Kepler, and afterwards demonstrated by Sir Isaac Newton. Thus,... | |
 | George Gregory - 1820 - 458 σελίδες
...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 their orbits,... | |
 | 1822 - 694 σελίδες
...that the squares of the revolutionary periods of the planets are in exactly the same proportion to each other as the cubes of their mean distances from the sun. Lastly, I may add, that all our knowledge of mechanical astronomy has been derived from the motions... | |
 | Alexander Jamieson - 1821 - 448 σελίδες
...discovered his third fundamental law; namely, 252. The squares of the times of the revolutions of the planets are to each other as the cubes of their mean distances. Obs. The ellipses, which the planets describe, however, are not unalterable. Their major axes appear... | |
 | 1843 - 684 σελίδες
...the times employed in describing them. 3d. The squares of the times of the sidereal revolution of the planets are to each other as the cubes of their mean distances. Kepler's rapture on this discovery was unbounded. " It is now," says he, " eighteen months since I... | |
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The squares of the periodic times of any two planets are to each other, in the same proportion as the cubes of their mean distances from the sun. 
