Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 126
B\ are given.Describe circles of radii a = OA andb = OB, with the origin O as thecommon center. Draw any ray fromO, making an angle <j> with the posi-tive axis of x, as shown in thefigure. Through the points Q and Rdraw the parallels indicated. Theirpoint of intersection, P, will lie onthe… … Fig. 15 Hence(2) sin2 <f> -1- cos2 <£ = 1. if- Conversely, any point (x, y) on the ellipse (2) has corre-sponding to it an angle <f>, for which equations (1) are true. Equations (1) afford what is known as a parametric repre-sentation of the coordinates of a variable point (x, y) of…
Geometry, Analytic
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