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Any 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.
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.]
(Mathematics) a conic section formed by the intersection of a cone by a plane parallel to its side. Standard equation: y2 = 4ax, where 2a is the distance between focus and directrix
[C16: via New Latin from Greek parabolē a setting alongside; see parable]
pa•rab•o•la(pəˈræb ə lə)
n., pl. -las.
a plane curve formed by the intersection of a right circular cone with a plane parallel to a generator of the cone; the set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane. See also diag. at conic section.
[1570–80; < New Latin < Greek parabolḗ an application]
The parabola at left is formed by graphing the function y = x2.
The curve formed by the set of points in a plane that are all equally distant from both a given line (called the directrix) and a given point (called the focus) that is not on the line.