# Focus and Directrix of Ellipse

In the presence of a point F and a straight line d, ellipse can be characterized is the locus of points P whose distances to F and d are in a fixed ratio less than 1: *focus* and the line a *directrix* of the ellipse. This property is often taken for a definition of ellipse.

For every ellipse there are two focus/directrix combinations. The line joining the foci is the axis of summetry of the ellipse and is perpendicular to both directrices.

Below is an interactive illustration. Drag the point on the ellipse to see how the distances to a focus or directrix change.

What if applet does not run? |

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny