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 permanence of all books is fixed by no effort friendly or hostile, but by their own specific gravity, or the intrinsic importance of their contents to the constant mind of man.”
—Ralph Waldo Emerson (1803–1882)
“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)