![Circle negative pedal curve](/images/gifs/circnped.gif)
For a unit circle with parametric equations
(1)
| |||
(2)
|
the negative pedal curve with respect to the pedal point is
(3)
| |||
(4)
|
Therefore if the point is inside the circle (), the negative pedal is an ellipse,
if
,
it is a single point, if the point is outside the circle (
), the negative pedal is a hyperbola.