WOLFRAM|DEMONSTRATIONS PROJECT

Pedal Curves of Conics

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ellipse
The pedal curve
C
P
of a curve
C
with respect to a point
P
(the pedal point) is the locus of the foot of the perpendicular from
P
to the tangent line of the curve
C
.
Drag the locator (red pedal point) to change the pedal curve of a given conic.
Choose an item from the popup menu to change the type of conic and drag the slider to change its shape.