| Friedrich Carl L. Schoedler - 1872
...portion of its orbit the planet may in the meanwhile traverse. 3. The squares of the times of revolution **of any two planets are to each other in the same proportion...as the cubes of their mean distances from the sun.** The world-renowned Newton placed the key-stone upon the noble edifice jaded by his great predecessor.... | |
| Astronomy - 1873 - 224 pages
...described by the radius-vector of a planet are proportional to the times taken to describe them ; and (3) **The squares of the Periodic Times of any two planets...as the cubes of their Mean Distances from the sun** (Lesson 6). 3. Q. What is meant by the Mean Distaace of a Planetr and Lti the Iaclination and Eccentricity... | |
| Alexander Mackay - Geography - 1873 - 676 pages
...the planet may be moving. 3. The squares of the times of revolution of any two planeta are to ear h **other in the same proportion as the cubes of their mean distances from the** snn. Finally, the world-renowned Newton (horn at Woolsthorpe in Lincolnshire, in 1643) placed the keystone... | |
| Thomas Milner - Constellations - 1873 - 315 pages
...which they complete their revolution. Its technical form is, that the squares of the periodic times **are to each other in the same proportion as the cubes of** the mean distances. The square of any quantity is found by multiplying it by itself: the cube results... | |
| William Sharp - Alternative medicine - 1874 - 809 pages
...— The planets move over equal areas in equal times. 3rd — The squares of the times of revolution **of any two planets are to each other, in the same...as the cubes of their mean distances from the sun.** " Of all the laws," says Sir John Herschel, "to which induction from pure observation has ever conducted... | |
| Arthur Searle - Astronomy - 1874 - 415 pages
...sixty-four times as great ; and so on, according to the same rule. The general statement of this rule is **that the squares of the periodic times of any two planets are to each other** as the cubes of their mean distances ; but the above instances of its application may perhaps give... | |
| William Chambers, Andrew Findlater - 1874
...between the motions of all the planets, or all the bodies that revolve round the same centro. It is, **that the squares of the periodic times of any two planets are to each other** as the cubes of their mean distances from the sun ; that is, if there be two planets, and one farther... | |
| Hugo Reid - Astronomy - 1874 - 262 pages
...ellipse, having the sun in one of the foci. III. The squares of the periodic times* of the planets are **in the same proportion as the cubes of their mean distances from the sun.** 455. The first of Kepler's Laws is shortly expressed as follows : — " The radius vector of a planet... | |
| William Sharp - Alternative medicine - 1874 - 809 pages
...2nd—The planets move :>-equal areas in equal times. 3rd—The squares of the times of revolution **of any two planets are to each other, in the same proportion as the** cuoes of their meati distances from the sun. " Of all the laws," says Sir John Herschel, "to which... | |
| 1875
...reference to these calculations, the importance of the great third law of Kepler which was to the effect **that the "squares of the periodic times of any two...as the cubes of their mean distances from the sun."** This was expressed in algebraic formulae. He explained the importance of obtaining as large a base... | |
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