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parabolaAny point on a parabola is the same distance from the directrix as it is from the focus (F). AC equals CF and BD equals DF.paÂ·rabÂ·oÂ·la Â (pə-răb′ə-lə)n. A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone or by the locus of points equidistant from a fixed line and a fixed point not on the line.[New Latin, from Greek parabolē, comparison, application, parabola (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix), from paraballein, to compare; see parable.]