...in its orbit, are proportional to the times. (3.) The squares of the times of revolution of any two planets are proportional to the cubes of their mean distances from the sun. These laws were verified by Newton in his Principia, in a course of mathematical reasoning, the foundation...

...of a Planet moves over Equal Areas in Equal Times ; and (3) that tho Squares of the Periodic Times of the Planets are Proportional to the Cubes of their Mean Distances from the Sun. But these Laws were not universally accepted as the real expression of the phenomena before Newton...

...vector of any planet describes equal areas m equal times. III. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun. The following is an outline of the course of reasoning followed by Newton. In the first place the proposition...

...areas in equal times. 3. The squares of the period of complete revolution, or periodic times of any two planets are proportional to the cubes of their mean distances from the BUD. (See Central Forces.) Kctone. See Acetone. Kilogrammetre. The French unit used in estimating the...

...will be easily understood—36, 69, 95, 144, 490, 900, 1,800, 2,800. The squares of the periodic times of the planets are proportional to the cubes of -their mean distances from the sun. Hence, as the distance of the earth from the sun has been found by the transits of Venus to be about...

...the sun sweeps over equal areas in equal times ; the third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. The first two laws were discovered by Kepler in the course of a laborious examination of the theory...

...planets from the sun. This law is expressed as follows : — " The squares of the times of revolution of the planets are proportional .to the cubes of their mean distances from the sun." To give an illustration of this law, we may take the planets Venus and the Earth, whose times of revolution...

...the sun sweeps over equal areas in equal times ; the third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the gun. The first two laws were discovered by Kepler in the course of a laborious examination of the theory...

...are proportional to the times of description ; while the squares of the periodic times of the various planets are proportional to the cubes of their mean distances from the sun These are Kepler's laws ; they are yet, however, only empirical. AYe know them to be true, but we cannot...

...are proportional to the times of description ; while the squares of the periodic times of the various planets are proportional to the cubes of their mean distances from the sun. These are Kepler's laws ; they are yet, however, only empirical. We know them to be true, but we cannot...