584 ± CHAPTER 9 THE CONIC SECTIONS; POLAR COORDINATES; PARAMETRIC EQUATIONS ± CHAPTER HIGHLIGHTS 9.1 Translations; The Parabola translation of axes: x = x0 + X , y = y0 + Y (p. 514) distance between a point and a line (p. 515) the parabola directrix, focus, axis, vertex (p. 517) reFecting property (p. 520) A parabola is the set of points equidistant from a ±xed line and a ±xed point not on that line. 9.2 The Ellipse and Hyberbola the ellipse foci, standard position (p. 523) vertices, axes, center (p. 524) elliptical reFectors (p. 529) eccentricity (p. 532) An ellipse is the set of points the sum of whose distances from two ±xed points is constant. the hyperbola foci, standard position (p. 526) asymptotes (p. 527) vertices, transverse axis, center (p. 528) hyperbolic reFectors (p. 531) eccentricity (p. 532) A hyperbola is the set of points the difference of whose distances from two ±xed points is constant. 9.3
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