Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 76
Fig. 17 CURVES OP SECOND ORDER AND SECOND CLASS 63 Let P (Fig. 18) be any point with coordinates y{, let p be the polarof P, and let m be any line through P cutting p in Q and the curvein E and S. Then, if zt are the coordinates of Q, the coordinates ofR and S are yt+\zt and yt+\zL, where \ and \… … Fig. 18 But since Q is on the polar of P, we have 2)«lt^i%= 0> an(itherefore \=— \- By § 14 the theorem is proved. This theorem gives a method of finding the polar of P whenthe curve of second order consists of two straight lines intersectingin a point 0 (Fig. 19). Draw through P any straight…
Geometry, Analytic
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