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Conics: focus at origin, drag the directrix

Author:Marc Renault

In this figure, the conic has one focus fixed at the origin. You can do two things to affect its shape:

Drag the directrix
Change the eccentricity,

The conic is then determined by the focus-directrix equation

. If

is a point on the conic, then the distance from

to the focus at the origin is

times the distance from

to the directrix. All three types of conics -- ellipses, parabolas, and hyperbolas -- can be defined this way.

This applet was developed for use with Interactive Calculus, published by Pearson.

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