 | Isaac Newton - Celestial mechanics - 1729 - 444 pages
...circles. QED COR. i. Therefore, fince thofe arcs are as the velocities of the bodies, the centripetal forces are in a ratio compounded of the duplicate ratio of the velocities direttly, and of the iimple ratio of the radji inverfely. COR. z. And, flnce the periodic... | |
 | John Mason Good - 1813 - 830 pages
...Q. E- 0. Con. 1. Therefore, since those arcs »re as th« velocities of the bodies, the centripetal forces are in a ratio compounded of the duplicate ratio of the velocities directly, and of the simple ratio of the radii inversely. Co«. Î. And since the periodic... | |
 | Isaac Newton - Curves, Plane - 1826 - 208 pages
...was to be demonstrated. Cor. 1. Since those arcs are as the velocities of the bodies, the centripetal forces are in a ratio compounded of the duplicate ratio of the velocities directly, and of the simple ratio of the radii inversely. Cor. 2. And, since the periodical... | |
 | Joseph Denison - 1846 - 106 pages
...fallacy. E 2 " Cor. 1. Therefore, since those arcs are as the velocities of the bodies, the centripetal forces are in a ratio compounded of the duplicate ratio of the velocities directly, andof the simple ratio of the radii inversely." Comment. The second branch of... | |
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COR. 1. Therefore, since those arcs are as the velocities of the bodies, the centripetal forces are in a ratio compounded of the duplicate ratio of the velocities directly, and of the simple ratio of the radii inversely. COR. 2. And since the periodic... 