 | Augustus William Smith - Mechanics, Analytic - 1855 - 340 pages
...center of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...center of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,... | |
 | Perry Fairfax Nursey - Industrial arts - 1855 - 640 pages
...simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ; from which Newton, having already established in accordance with the two first laws, the truth that... | |
 | Technology - 1855 - 626 pages
...simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ¡ from which Newton, having already established in accordance with the two first laws, the truth that... | |
 | Edward Hughes - 1856 - 482 pages
...fastest when nearest to the sun, 1 slowest when farthest from him. 3. The squares of their periodic times are proportional to the cubes of their mean distances from the sun. 8. It is with the latter of these laws alone that we are concerned at present, and its use in investigating... | |
 | 1856 - 418 pages
...the periodic times of the planets, that is, of the times of a complete revolution in their orbits, are proportional to the cubes of their mean distances from the sun ; in other words, that the square of the periodic time of one planet is to the square of the periodic... | |
 | John Gummere - Astronomy - 1857 - 526 pages
...and their mean distances from him, Kepler discovered that the squares of the periodical times of the planets are proportional to the cubes of their mean distances from the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on,... | |
 | François Arago - Scientists - 1859 - 486 pages
...sun sweeps over equal areas in equal times' the third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. The first two laws were discovered by Kepler in the course of a laborious examination of the theory... | |
 | W. Smyth - Calculus - 1859 - 250 pages
...in one of their foci. 3°. The squares of the times of the revolutions of the planets about the sun, are proportional to the cubes of their mean distances from the sun. 184. From these laws, derived from observation, Newton deduced the law of universal gravitation. We... | |
 | George Ripley, Charles Anderson Dana - Encyclopedias and dictionaries - 1860 - 816 pages
...as containing the third of his celebrated laws, viz. : that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Such was the transport with which this discovery, which for 17 years had baffled all his skill and... | |
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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. 
