# Parabola as a Locus of Centers of Circles

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A parabola is the set of all the points that are equidistant from a fixed point (the focus, red point) and a fixed line (the directrix, dashed green line).

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Contributed by: Abraham Gadalla (June 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

In this Demonstration, is the origin .

Let be the distance from to and be the radius of . If is vertical, then the equation of the parabola is , where is the focal distance .

## Permanent Citation

"Parabola as a Locus of Centers of Circles"

http://demonstrations.wolfram.com/ParabolaAsALocusOfCentersOfCircles/

Wolfram Demonstrations Project

Published: June 20 2012