...each having one of its foci in the surfs centre. III. That the squares of the periodic times of the planets about the sun, are proportional to the cubes of their mean distances from that body. These are called the laws of Kepler, and lead directly to a knowledge of the nature of the...

...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...

...remarks on the Third Law of Kepler, namely, that the squares of the times of planetary revolution round the sun are proportional to the cubes of their mean distances from that central luminary, Sir J. Ilerschel has the following pertinent observations. " Of all the laws...

...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...

...is the third law ? A. It is that the squares of the times of the revolutions of the planets around the sun, are proportional to the cubes of their mean distances from the sun. THE MEAN AND THUE PLACE OF A PLANET. Q. What is the mean place of«the earth, or a planet in its orbit...

...of the di licrent planets round the sun, had discovered that tin- squares of the times of revolution are proportional to the cubes of their mean distances from the sun. It is possible, moreover, to caleulate for each of the planefs (as already indicated for the moon)...

...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)...

...will sweep over equal areas in equal times. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun. The first of these theorems defines the form of the curve in which the planet revolves, and its position...

...areas in equal times, and the third that the squares of the times in which the planets revolve round the sun are proportional to the cubes of their mean distances from the centre. The shadow of eclipse first stains the bright disk of sun or moon at the appointed moment to...

...proportional to the times of describing them. 3rd. That the squares of the periods of different planets are proportional to the cubes of their mean distances from the sun. The first law determines the figure of the orbit, the second regulates the velocity of the planet,...