 | Charles Augustus Young - Astronomy - 1889 - 518 pages
...vector of each planet describes equal areas in equal times. III. The squares of the periods of the planets, are proportional to the cubes of their mean distances from the sun; ie, ti :t 3 *:: a* : a/. This is the so-called " Harmonic law." 252. To make sure that the student... | |
 | Charles Joyce White - Astronomy - 1890 - 298 pages
...can be obtained by Kepler's Third Law (Art. 117), that "the squares of the periodic times of any two planets are proportional to the cubes of their mean distances from the sun." 93. Transit of Venus.—In Fig. 36, let S denote the centre of the sun, and CADN its disc: let V be... | |
 | Charles Augustus Young - Astronomy - 1898 - 396 pages
...areas in equal times. (See Art. 121, Fig. 13, for illustration.) III. The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. This is known as the Harmonic Law. Stated as a proportion it reads : PI : P? : : Af : A}, or in words... | |
 | John Thornton (M.A.) - Astronomy - 1890 - 372 pages
...equal areas in equal times. (3) The squares of the periodic times of the planets are in proportion to the cubes of their mean distances from the sun. These laws are only close approximations to the truth. They would be perfectly accurate if the masses of the planets... | |
 | Sir William Peck - Astronomy - 1891 - 280 pages
...to west. * This is found from the " harmonic law," which is, that the squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. NEPTUNE. " Hence the view is profound, It floats between the world And the depths of the sky." —... | |
 | 1891 - 846 pages
...Newton's tation. Kepler's third and greatest law is that the squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the Sun. Themost unmathematical reader has no cause to be alarmed by this somewhat technical statement, for... | |
 | Charles Augustus Young - Astronomy - 1891 - 422 pages
...areas in equal times. (See Art. 121, Fig. 13, for illustration.) IIL The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. This is known as the Harmonic Law. Stated as a proportion it reads : Pf : P,2 : : A? : A£, or in words... | |
 | Evan William Small - Earth - 1894 - 296 pages
...of England), containing the celebrated law that " The squares of the periodic times of the different planets are proportional to the cubes of their mean distances from the sun " (Kepler's third law) ; that is to say, that the mean distance of a planet (defined as being half... | |
 | Augustus Jay Du Bois - Mechanics - 1894 - 286 pages
...equal areas in equal times. III. The " Harmonic Law," so called. The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. The second law, as we have seen (page 130), is a necessary consequence of central acceleration. From... | |
 | Orison Swett Marden - Conduct of life - 1894 - 480 pages
...spaces in equal times, and that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. This boy with no chance became one of the world's greatest astronomers. "When 1 found that I was black,"... | |
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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. 
