Parabola



[puh-rab-uh-luh] /pəˈræb ə lə/

noun, Geometry.
1.
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. Equation: y 2 = 2 px or x 2 = 2 py.
/pəˈræbələ/
noun
1.
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
n.

1570s, from Modern Latin parabola, from Greek parabole “parabola, comparison, analogy; application” (see parable), so called by Apollonius of Perga c.210 B.C.E. because it is produced by “application” of a given area to a given straight line. It had a different sense in Pythagorean geometry. Related: Parabolic.
parabola
(pə-rāb’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.
parabola [(puh-rab-uh-luh)]

A geometrical shape (see geometry) consisting of a single bend and two lines going off to an infinite distance.

Note: An object that is propelled away from the Earth and then drawn back by gravity, such as a fly ball in baseball, follows a path shaped like a parabola.

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