 The radii vectores describe areas in one plane proportional to the time. (2) The orbits are ellipses having the Sun in one of their foci. (3) The squares of the periodic times are proportional to the cubes of the mean distances from the Sun. The  The Elements of the Theory of Astronomy - Page 55by John Hymers - 1840 - 354 pagesFull view - About this book
 | William Nicholson - 1809 - 722 pages
...ones do round their centre the Sun; riz. 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... | |
 | John Robison - Astronomy - 1822 - 842 pages
...round him in ellipses, having Saturn in the focus. They describe areas proportional to the times, and the squares of the periodic times are proportional to the cubes of their mean distances. 142. Besides this numerous band of satellites, Saturn is also accompanied by... | |
 | John Robison - Astronomy - 1822 - 860 pages
...round him in ellipses, having Saturn in the focus. They describe areas proportional to the times, and the squares of the periodic times are proportional to the cubes of their mean distances. 142. Besides this numerous band of satellites, Saturn is also accompanied by... | |
 | Encyclopedias and dictionaries - 1823 - 872 pages
...parts of its orbit, are proportional to the times of description. 3. The squares of the periodic thnes are proportional to the cubes of the mean distances from the sun. By , w of By this observation or discovery, the study of the placon's notary motions were greatly promoted,... | |
 | Industrial arts - 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 conditions... | |
 | Thomas Curtis (of Grove house sch, Islington) - 824 pages
...: pM* : 2 CB' • PC : CB J • KI : : PC : KI. But P and I being indefinitely near, KI 253. Again, the squares of the periodic times are proportional to the cubes of the transverse axes. For let i be the less, d the greater axis, and a the parameter ; then by conies ad... | |
 | Sir George Biddell Airy - Gravitation - 1834 - 248 pages
...ellipses; that the radius vector in each orbit passes over areas proportional to the times, and that the squares of the periodic times are proportional to the cubes of the mean distances, are commonly called Kepler's laws. They were discovered by Kepler from observation, before the theory... | |
 | Sir George Biddell Airy - Gravitation - 1834 - 252 pages
...ellipses; that the radius vector in each orbit passes over areas proportional to the times, and that the squares of the periodic times are proportional to the cubes of the mean distances, are commonly called Kepler's laws. They were discovered by Kepler from observation, before the theory... | |
 | George Biddell Airy - 1834 - 248 pages
...ellipses ; that the radius vector in each orbit passes over areas proportional to the times, and that the squares of the periodic times are proportional to the cubes of the mean distances, are commonly called Kepler's laws. They were discovered by Kepler from observation, before the theory... | |
 | Encyclopedias and dictionaries - 1838 - 554 pages
...ellipses, that the radius vector in each orbit passes over areas proportional to the times, and that the squares of the periodic times are proportional to the cubes of the mean distances,— are commonly called Kepler's laws. They were discovered by Kepler from observation, before the theory... | |
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