Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 148
erpendicular toRS. Then, from the definition, PF_PM~^ or PF = e^ PM. But PM = X, the ordinate of P, and by [1], § 3, PF=(x-2p)2+y2.Therefore (x-2p)^ + y = eV [30] is the required equation of the conic section. If we place x = 0 in equation [30], we find the corre-sponding value of y to be… … Fig. 60. If we place e = 1 in equation [30], it becomes(x-2p)2 + y■^=x^or y — 4px + 4p-^0. By placing y = 0 in this equation, we find that the curveintersects the axis of x in one point, namely x = p. Thispoint is called the vertex (A) of the parabola, and the line(AF) drawn through the focus and…
Geometry, Analytic
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