Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 92
The ellipse and the hyperbola can be constructed easily bymeans of parametric equations (Figs. 47 and 48). Draw the concentric circles whose radii are the semiaxes a Art. 61] GEOMETRICAL CONSTRUCTION 75 and h. These circles are called the major and minor auxiliarycircles, respectively. For the… … Fig. 47 Fig. 48 Similarly, for the hyperbola, OD = a sec ^ and EM=h tan ^are the coordinates of the point P on the curve. The points P, P, and P are called corresponding points. Asthe radius OP revolves about 0, the points P and P move ontheir respective auxiliary circles, and P describes the…
Geometry, Analytic
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