 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 512 pages
...revolves, was proved to be as the centripetal force, and as the square of the times ; or as F x T2. Therefore the force F is directly as the versed sine,...force in its middle point P. Then the areas being as the times ; twice the triangle SPQ, or QL x SP is as T in the last expression ; and, therefore,... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 540 pages
...revolves, was proved to be as the centripetal force, and as the square of the times ; or as F x T2. Therefore the force F is directly as the versed sine,...force in its middle point P. Then the areas being as the times ; twice the triangle SPQ, or QL x SP is as T in the last expression ; and, therefore,... | |
 | Michel Blay - History - 1998 - 230 pages
...produced passing through the centre of force: the centripetal force in the middle of the arc will be directly as the versed sine and inversely as the square of the time.71 The demonstration that follows draws upon two results previously obtained: the fourth corollary... | |
 | Jed Z. Buchwald, I. Bernard Cohen - Biography & Autobiography - 2001 - 380 pages
...force and the square of the time. Divide both sides by the square of the time, and the force will be directly as the versed sine, and inversely as the square of the time. QED 36 Figure 8.3 / in the middle of the arc is like the versed sine and inversely like the square... | |
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XXXV. nexion between its corollaries, and the Theory of Gravitation. The versed sine of the half of any evanescent arc (or sagitta of the arc) of a curve in which a body revolves, was proved to be as the centripetal force, and as the square of the times... 