...to a little science, when he announced the law that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. It has been generally believed that these three great laws of planetary motion were not only discovered...

...earth. From the relation of the motions of different planets expressed in Kepler's third law (that the squares of the periodic times are proportional to the cubes of the distances), it follows that the periodic times increase in a greater proportion than the distances...

...ellipse, in which the Sun occupies one focus. (3.) The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. Each of the smaller systems constituted by a planet and its satellites is subject to the same three...

...ellipses, that the radius vector in each orbit passes over areas proportional to the tunes, and that the squares of the periodic times are proportional to the cubes of the mean distances, — are commonly called Kepler's laws. They were discovered by Kepler from observation,...

...The radius drawn from a planet to the sun describes in any time an area proportional to the time. (3) The squares of the periodic times are proportional to the cubes of the major axes of the orbits. From the second law it follows, by Art. 159, that each planet is acted...

...ellipses, that the radius vector in each orbit passes over areas proportional to the times, and that the squares of the periodic times are proportional to the cubes of the mean distances, — are commonly called Kepler's laws. They were discovered by Kepler from observation,...

...passes over equal areas in equal periods of time. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Anterior to the promulgation of the Copernican theory of planetary motion, the circle, and the circle...

...The radius drawn from a planet to the sun describes in any time an area proportional to the time. (3) The squares of the periodic times are proportional to the cubes of the major axes of the orbits. From the second law it follows, by Art. 159, that each planet is acted...

...discovered that all the planets are subject to one general LAW, which is, that the " square» of thtir periodic times are proportional to the cubes of their mean distances from the sun." This law was fully demonstrated and established by Sir ISAAC NEWTON. Astronomers found it very easy...

...of the diii'ereiit planets round the sun, had discovered that the squares of the times of revolution are proportional to the cubes of their mean distances from the sun.. It is possible, moreover, to calculate for each of the planets (as already indicated for the moon)...