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An elementary course of mathematics, designed principally for students of the University of Cambridge (1853)

Goodwin, Harvey, 1818-1891 · Cambridge, Deighton · leaf 397

An illustration from An elementary course of mathematics, designed principally for students of the University of Cambridge, 1853, leaf 397
int R, either within orwithout the curve, two straight lines be drawn parallel to twogiven directions, and cutting the curve in M, M and Q, Qrespectively, then the ratio of the rectangles RM. EM: RQ . RQ will be independent of the position of the point R. (l) In the parabola. Through the point R… … In like manner for any other chord MEM we shouldhave, RM .EM = 4&P SP RMJiM METHOD OF FINDING CENTRIPETAL FORCES. 377 Now the points P and P remain the same as long as thechords are drawn parallel to fixed directions: hence the pro-position is true. (2) In the ellipse. Through the centre C…

Newton, Isaac, Sir, 1642-1727 · Astronomy · Mathematics · Physics, Mathematical

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