 | William Nicholson - 1809 - عدد الصفحات: 716
...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... | |
 | Edward Polehampton - 1815 - عدد الصفحات: 592
...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 - عدد الصفحات: 490
...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 - عدد الصفحات: 370
...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 - عدد الصفحات: 604
...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,... | |
 | 1822 - عدد الصفحات: 694
...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 - عدد الصفحات: 448
...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... | |
 | Thomas Arnold - 1822 - عدد الصفحات: 1008
...squares 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.... | |
 | 1843 - عدد الصفحات: 684
...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... | |
 | George G. Carey - 1825 - عدد الصفحات: 274
...describes an ellipse, having the sun in one of its foci.* 3. That the squares of the periodic times of the planets are to each other as the cubes of their mean distances from the sun. These three laws are the basis of all physical astronomy. But in a popular work like the present, it... | |
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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. 
