Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 138
, y{) is given in (2),Art. 98. From this equation we find the intercept on the X-axisis (Fig. 73) (a^-b^)x, c^x, a^e^x, „ a^ a^ a- But FO = OFi = ae, and therefore FN = ae + e^x^ and NF^^ = ae — e\.The ratio of FN to NF^ is, therefore, FN_a-\-ex^_ FP NF^ a - ex^ F,P (Art. 50). Art. 100] REFLECTION… … Fig. 73 A ray of light from either focus of an ellipse is reflected fromthe curve to the other focus. Theorem II. The angle formed by the focal radii drawn to anypoint of an hyperbola is bisected by the tangent at that point. The equation of the tangent at {x-^, y^) is a b- Hence the intercept on…
Geometry, Analytic
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