Parabola
Definition as a locus of points

A parabola can be defined geometrically as a set of points (locus of points) in the Euclidean plane:

The midpoint V {\displaystyle V} of the perpendicular from the focus F {\displaystyle F} onto the directrix l {\displaystyle l} is called the vertex, and the line F V {\displaystyle FV} is the axis of symmetry of the parabola.
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