# parabola

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**parabola**

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.

## pa·rab·o·la

(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**.]## parabola

(pəˈræbələ)*n*

(Mathematics) a conic section formed by the intersection of a cone by a plane parallel to its side. Standard equation:

*y*^{2}= 4*ax*, where 2*a*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]## pa·rab·o·la

(pə-răb′ə-lə) 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.

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Noun | 1. | parabola - a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curveconic, conic section - (geometry) a curve generated by the intersection of a plane and a circular cone |

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