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)
“For a hundred and fifty years, in the pasture of dead horses,
roots of pine trees pushed through the pale curves of your ribs,
yellow blossoms flourished above you in autumn, and in winter
frost heaved your bones in the ground—old toilers, soil makers:
O Roger, Mackerel, Riley, Ned, Nellie, Chester, Lady Ghost.”
—Donald Hall (b. 1928)