Pedals of Specific Curves
Pedals of some specific curves are:
| Curve | Equation | Pedal point | Pedal curve |
|---|---|---|---|
| Circle | Point on circumference | Cardioid | |
| Circle | Any point | Limaçon | |
| Parabola | Focus | The tangent line at the vertex | |
| Parabola | Vertex | Cissoid of Diocles | |
| Central conic | Focus | Auxiliary circle | |
| Central conic | Center | (a hippopede) | |
| Rectangular hyperbola | Center | Lemniscate of Bernoulli | |
| Logarithmic spiral | Pole | Logarithmic spiral | |
| Sinusoidal spiral | Pole | (another Sinusoidal spiral) |
Read more about this topic: Pedal Curve
Famous quotes containing the words specific and/or curves:
“The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.”
—Herbert Spencer (1820–1903)
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