 | 1830 - 614 pages
...sin«> 919 Discourse on the Theory of the Planetary System. 922 according to the law of John Kepler, who discovered that the squares of the periodical times of the planets, are as the cubes of their mean distances from the sun. Hence, their velocities must decrease the farther... | |
 | Mary Somerville - 1831 - 710 pages
...comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts on a moving body be known,... | |
 | Mary Somerville - 1834 - 390 pages
...are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which... | |
 | Mary Somerville - 1834 - 666 pages
...are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which... | |
 | Western Literary Institute and College of Professional Teachers - 1837 - 286 pages
...more than it would lead him to the knowledge of the Keplerian law, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun's centre! ' These are subsequent efforts. A child of four years of age can say, "God exists,"... | |
 | William Augustus Norton - 1839 - 530 pages
...is an ellipse, of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. These laws are known by the denomination of Kepler's... | |
 | Mary Somerville - 1846 - 506 pages
...nppenr to move in hyperbolas, liko fig. 8. The third lav. is, that the squares of the periodic limes of the planets are proportional to the cubes of their mean distances from the sun. The square of a number Is that number multiplied by itself, and the cube of a numher is thai... | |
 | Augustus Young - 1846 - 304 pages
...is an ellipse, of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. And Mr. Norton says that " The first two Kepler... | |
 | Mary Somerville - 1849 - 568 pages
...others appear to move inhyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a number is that... | |
 | Thomas Kentish - 1852 - 258 pages
...in conjunction with that of E. According to Kepler's famous discovery, the squares of the periodic times of the planets are proportional to the cubes of their mean distances. Now, since the line A is laid down twice, and the line E thrice, in the same space, when the slide... | |
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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. 
