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About: Focal conics     Goto   Sponge   NotDistinct   Permalink

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In geometry, focal conics are a pair of curves consisting of either * an ellipse and a hyperbola, where the hyperbola is contained in a plane, which is orthogonal to the plane containing the ellipse. The vertices of the hyperbola are the foci of the ellipse and its foci are the vertices of the ellipse (see diagram). or * two parabolas, which are contained in two orthogonal planes and the vertex of one parabola is the focus of the other and vice versa. Focal conics are used as directrices for generating Dupin cyclides as canal surfaces in two ways.