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Conic Section

Definition: The conic sections are the nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. For a plane perpendicular to the axis of the cone, a circle is produced. For a plane that is not perpendicular to the axis and that intersects only a single nappe, the curve produced is either an ellipse or a parabola (Hilbert and CohnVossen 1999, p. 8). The curve produced by a plane intersecting both nappes is a hyperbola (Hilbert and CohnVossen 1999, pp. 89).
Source: http://mathworld.wolfram.com

Listed under: Precalculus, Multivariable Calculus
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