 | Nautical astronomy - 1977 - 1412 pages
...over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets are proportional to the cubes of their mean distances from the sun. In 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets.... | |
 | William Nicholson - 1809 - 722 pages
...ones do round their centre the .Sun; viz. in such manner that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITE« of Jupiter, are four little moons, or secondary planets... | |
 | Charles Hutton - Astronomy - 1815 - 686 pages
...do round their centre the sun ; viz, in ¡>ueh a maniirr that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. For the physical cause of their motions, see GRAVITY. See also PLANETS.... | |
 | John Bonnycastle - Astronomy - 1816 - 490 pages
...that the squares of the times in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the sun. To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and... | |
 | William Nicholson - Natural history - 1821 - 384 pages
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary planets,... | |
 | William Nicholson - Natural history - 1819 - 414 pages
...proportional to the times in which they are described. The squares of their periodical times are as the cubes of their mean distances from the sun. The secondary planets describe also circles or ellipses, one of whose foci is in the center of their primary ones, &c. From... | |
 | William Nicholson - Natural history - 1821 - 382 pages
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary planets,... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...mean distances. Farther, it is rigorously demonstrable, that when bodies circulate in such manner that the squares of the periodic times are proportional to the cubes of the distances, the central force which actuates them is in the inverse ratio of the square of the distance... | |
 | 1824 - 492 pages
...if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are proportional to the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits, according to the... | |
 | George Miller - History - 1824 - 538 pages
...proportional to the times ; 3. that in the movements of different planets round the same central body the squares of the periodic times are proportional to the cubes of the mean distances. The Rhodolphirie tables of the planetary movements, in constructing which he assisted... | |
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The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
