 | Isaac Newton - 1962 - 452 oldal
...times are as the squares of the radii, the centripetal forces are reciprocally as the radii. 5. If the squares of the periodic times are as the cubes of the radii, the centripetal forces are reciprocally as the squares of the radii. 3. That the centripetal... | |
 | I. Bernard Cohen - 1980 - 428 oldal
...In both works (De motu, corol. 5, theor. 2; Principia, corol. 6, prop. 4), Newton observes that if the squares of the periodic times are as the cubes of the radii, the centripetal forces will be inversely as the squares of the radii. In De motu (schol. to... | |
 | William Whewell - 1989 - 386 oldal
...not reconcile Kepler's first two laws, of equal elliptical areas in equal times, with his third law, that the squares of the periodic times are as the cubes of the mean distances.8 Bernoulli, with his circular vortices, could accommodate the velocities at different... | |
 | Ofer Gal - 2002 - 276 oldal
...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 - 1834 - 436 oldal
...Newton's system. But the scope of the Principia is not limited to this. The illustrious author follows out his principle into a vast variety of consequences....genius, lavished in profusion upon every page of the Principia, perhaps, more than any other circumstance, will impress upon the reader's mind the vastness... | |
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... 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. 
