...planet to the sun in equal times are equal, and the squares of the periodic times of the different planets are as the cubes of their mean distances from the sun (as was observed by the famous Kepler), and because the same laws obtain in the motions of the satellites...

...squares of those distances. It appears from observation, that the squares of the periodical times of the planets are as the cubes of their mean distances from the sun. For example, Saturn's periodical time being found to be to Jupiter's about as 30 to 12, and the distance...

...between them. Thus he discovered that famous law, That the squares of the periodic times of all the planets are as the cubes of their mean distances from the sun. Sir I. Newton afterwards proved that this is a necessary consequence of the motion of a body in an...

...of the space, contained within the planet's orbit. 2. " The squares of the periodical times ot the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to describe its orbit, is to the square...

...between them. Thus he discovered the famous Law, That the squares of the periodic times of all the planets are as the cubes of their mean distances from the sun. Sir I. NEWTON afterwards proved that this is a necessary consequence of the motion of a body in an...

...in each proportional to the times in which they are described. The squares of their periodical times are as the cubes of their mean distances from the sun. The secondary planets describe also circles or ellipses, one of whose foci is in the center of their primary...

...one of the foci. The second law of Kepler is, that the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun. That is, if we compare the square of the time which any two of the primary planets occupy in completing...

...describes equal areas in equal times. The third and last, that the squares of the periodic times of the planets are as the cubes of their mean distances from the sun. The knowledge of each of these was the result of much research, and of the comparison of a vast multitude...

...of the space, contained within the planet's orbit. 2. *' The squares of the periodical times of the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to 'describe its orbit, is to the square...

...DISSERTATION. +7 areas in equal times. The third and last, that the squares of the periodic times of the planets are as the cubes of their mean distances from the sun. The knowledge of each of these was the result of much research, and of the comparison of a vast multitude...