 | Ofer Gal - History - 2002 - 276 pages
...that the centripetal force is inversely proportional to the square of the distance from the center, the squares of the periodic times are as the cubes of the transverse axes.15 (De Gandt, 41) The direction of this last theorem is opposite to that of Theorema... | |
 | Baden Powell - Mathematics - 1834 - 436 pages
...the periodic times in which those orbits are completed; and establishes the remarkable relation, that the squares of the periodic times are, as the cubes of the major axes, the halves of which are the mean distances, as a dynamical consequence from a law of force... | |
| |
... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances. 
