Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 127
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… … These parametric representations, though, little used in Ana-lytic Geometry, are an important aid in the Calculus. The larger of the two circles in Fig.15 is commonly called the auxiliarycircle of the ellipse, and the points Itand P are known as corresponding points.The angle <f> is called…
Geometry, Analytic
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