Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 140
Fig. 76 102. Conjugate diameters. If P (.^\, ,?/,) is any point on acentral conic and PT is the tangent at P, then the diameterthrough P and the diameter parallel to PT are called con-jugate diameters. Thus, PO andQO are conjugate diameters (Figs.76 and 77). Theorem. If m and m are theslopes of a… … then mm = T-^, Fig. 77 according as the conic is an ellipse oran hypierhola. 124 LOCI OF SECOND ORDER [Chap. VII. In either Fig. 76 or Fig. 77, the slope of PO is V\ a-i ^^^ the slope of QO, = the slope of PT, = m = T^\ according as the conic is an ellipse or an hyperbola. Consequently, -r bmm = T…
Geometry, Analytic
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