 | John Hunter (of Uxbridge.) - 1847 - 266 pages
...Ans. 135, 297, and 264. Kepler's Third Law. Newton demonstrated the law ascertained by Kepler, that the cubes of the mean distances of the planets from the Sun are as the squares of their times of revolution. Examp. If the Earth's mean distance from the Sun be... | |
 | Mary Somerville - 1849 - 568 pages
...the age of Ptolemy. But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. And it is proved, that any variations which do take place are transient, and depend only on the relative... | |
 | Archibald Tucker Ritchie - 1850 - 580 pages
...the midst of all the vicissitudes which affect the solar system, the length of the major axes and the mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. And it is proved that any variations which do take place are transient, and depend only on the relative... | |
 | Anna Cabot Lowell - 1850 - 378 pages
...Ptolemy's time. § 381. Bat, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent...that one cannot vary without affecting the other. And it is proved that any variations which do take place are transient, and depend only on the relative... | |
 | Francis Lieber - 1851 - 618 pages
...possess the measure of our whole planetary system, as, according to the second law of Kepler (qv), the cubes of the mean distances of the planets from the sun are as the squares of the periods of their revolutions (which have long been known). Therefore the... | |
 | Franz Brünnow - 1865 - 584 pages
...planets as well as that of the sun can be found by means of the third law of Kepler, according to which the cubes of the mean distances of the planets from the sun are as the squares of the times of revolution. Thus from this determination the parallax of the sun... | |
 | Archibald Tucker Ritchie - 1874 - 690 pages
...the midst of all the vicissitudes which affect the solar system, the length of the major axes and the mean motions of the planets remain permanently independent...that one cannot vary •without affecting the other. And it is proved that any variations which do take place are transient, and depend only on the relative... | |
 | Isaac Newton, Percival Frost - 1878 - 326 pages
...produced by the planets on each others orbits, the statement of Kepler's third law should be amended to " The cubes of the mean distances of the planets from the sun are as the squares of the periodic times multiplied into the sum of the masses of the sun and the planet.... | |
 | Edward John Chalmers Morton - 1882 - 370 pages
...the laborious calculations in which he was involved. The result he ultimately arrived at was that " The cubes of the mean distances of the planets from the sun are to one another as the squares of the times they take to describe their orbits." His delight at... | |
 | Ernst Mach - 1893 - 648 pages
...joining each planet with the laws. Their . . part in the sun describes equal areas in equal times. 3) The cubes of the mean distances of the planets from the sun are proportional to the squares of their times of revolution. He who clearly understands the doctrine... | |
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Kepler's law, of the squares of the periodic times being proportional to the cubes of the mean distances of the planets from the sun, that one cannot vary without affecting the other. 
