Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 134
^m a^yi Since the tangent passes through the point of contact, itsequation is 2/ - 2/1 = m(^ - ^i) = ~ ^ (•^ ~ ^^y (^) Art. 97] COORDINATES OF POINT OF CONTACT 117 Clearing of fractions and remembering that IP-x-^ -\- a?yi = a^b^,since the point of contact is on the ellipse, equation (1) reduces to… … (3) Qcxi^h, 2/^+t) Fig. 71 Clearing of fractions and remember-ing that yi^ = 4 j^x^, we have 2/!/i = 2i>(a? + a?i). (4) Second method. Let a secant meeta curve in the points P(x^, ?/i) andQ(% + h, ?/i + k) (Fig. 71), so thatthe projections of the segment PQupon the X- and F-axes are respectively…
Geometry, Analytic
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