Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 89
tively, the curve is symmetric with respect to the origin; if it isnot changed when x and y are interchanged, the curve is symmetric withrespect to y =x. 78 PLANE ANALYTIC GEOMETRY [V, § 71 71. Slope of Secant. Let P{x, y) be any point of theparabola (1) y = ax^.If Pi {Xi, yi)be any other point… … (4) tan «i = J2ls=Jfl = a{x + a;i).9^ — a; 72. Slope of Tangent. Keeping the point P (Fig. 45)fixed, let the point Pj move along the parabola toward P; thelimiting position which the secant PP^ assumes at the instantwhen Pi passes through P is called the tangent to the parabolaat the point P. Let…
Geometry, Analytic
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