...present planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not...

...relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of the Orbit j of the Comets. OF all the celestial bodies,...

...orbits of the planets and 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...

...of the planets and comets 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...

...of the planets and comets 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...

...thought conveyed by it, any 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...

...the opposite angles are equal, is true of all such lines and angles, by whatever cause produced. That the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun, is an uniformity derived from the laws of the causes which produce the...

...time a planet takes to move round its orbit is named its periodic time; and the third law is, that the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun. Thus, Mars is about four times farther from the sun than Mercury, and...

...in very long flat ellipses; 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...

...is, describes equal areas in equal times. 2. The orbits of the planets are ELLIPSES, having the sun in one of the foci. 3. The squares of the periodic times of the planets are in the same proportion as the cubes of their mean distances from the sun. _ 497. The radius vector...