 The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun ; that is, ti2 : k2 ,• ,• ai3 ,• (h3This is the so-called harmonic law.  Encyclopedia of the Solar System - Page 56redigeeritud poolt - 2006 - 992 lehteLimited preview - About this book
 | Charles Joyce White - 1872 - 300 lehte
...in its orbit, are proportional to the times. (3.) The squares of the times of revolution of any two planets are proportional to the cubes of their mean distances from the sun. These laws were verified by Newton in his Principia, in a course of mathematical reasoning, the foundation... | |
 | Francis Bullock - 1873 - 240 lehte
...of a Planet moves over Equal Areas in Equal Times ; and (3) that tho Squares of the Periodic Times of the Planets are Proportional to the Cubes of their Mean Distances from the Sun. But these Laws were not universally accepted as the real expression of the phenomena before Newton... | |
 | Charles Robert Cross - 1873 - 182 lehte
...vector of any planet describes equal areas m equal times. III. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun. The following is an outline of the course of reasoning followed by Newton. In the first place the proposition... | |
 | George Farrer Rodwell - 1873 - 752 lehte
...areas in equal times. 3. The squares of the period of complete revolution, or periodic times of any two planets are proportional to the cubes of their mean distances from the BUD. (See Central Forces.) Kctone. See Acetone. Kilogrammetre. The French unit used in estimating the... | |
 | Robert Sullivan - 1874 - 502 lehte
...will be easily understood—36, 69, 95, 144, 490, 900, 1,800, 2,800. The squares of the periodic times of the planets are proportional to the cubes of -their mean distances from the sun. Hence, as the distance of the earth from the sun has been found by the transits of Venus to be about... | |
 | Smithsonian Institution. Board of Regents - 1875 - 428 lehte
...the 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... | |
 | 1875 - 588 lehte
...planets from the sun. This law is expressed as follows : — " The squares of the times of revolution of the planets are proportional .to the cubes of their mean distances from the sun." To give an illustration of this law, we may take the planets Venus and the Earth, whose times of revolution... | |
 | Smithsonian Institution. Board of Regents - 1875 - 432 lehte
...the 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 gun. The first two laws were discovered by Kepler in the course of a laborious examination of the theory... | |
 | Balfour Stewart, Peter Guthrie Tait - 1875 - 228 lehte
...are proportional to the times of description ; while the squares of the periodic times of the various planets are proportional to the cubes of their mean distances from the sun These are Kepler's laws ; they are yet, however, only empirical. AYe know them to be true, but we cannot... | |
 | Balfour Stewart - 1875 - 244 lehte
...are proportional to the times of description ; while the squares of the periodic times of the various planets are proportional to the cubes of their mean distances from the sun. These are Kepler's laws ; they are yet, however, only empirical. We know them to be true, but we cannot... | |
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