...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...

...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...

...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...

...relation between the mean distances of the planets from the sun and the times of their revolutions ; " the squares of the periodic times are proportional to the cubes of the distances." -In "An Epitome of the Copernican System," published in 1618, he announced this law,...

...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...

...The squares of the periodic times (the periods of complete revolution round the sun) of two planets are proportional to the cubes of their mean distances from the sun. These laws were discovered from calculations on Tycho Brahe's observations; they enabled Newton to...

...and he reached the third law — THE SQUARES OP THE TIMES OF REVOLUTION OF THE PLANETS ABOUT THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN.* In rapture over the discovery of these three laws, so marked by that divine simplicity which pervades...

...each planet describes equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. These laws hold good for all the planets and all their satellites. I have already referred in general...

...of Kepler, though it is not based on any theory and is derivde from actual observation, viz that " The squares of the periodic times are proportional to the cubes of the distances from the sun." To us it appears that all the arguments of the Docter turn upon one point,...

...planetary motion, one of which says: — "The squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun." That is to say, there is a fixed relation between the mean distances of the planets from the sun and...