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High Quality Content by WIKIPEDIA articles! In mathematics, the parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface. Given a point (the focus) and a corresponding line (the directrix) on the plane, the locus of points in that plane that are equidistant from them is a parabola. While the parabola is not an important concept in abstract mathematics, it is seen with considerable frequency in the physical world, and there are many practical applications for the construct in engineering, physics, and other domains.