List of Roulettes
| Fixed curve | Rolling curve | Generating point | Roulette |
|---|---|---|---|
| Any curve | Line | Point on the line | Involute of the curve |
| Line | Circle | Any | Trochoid |
| Line | Circle | Point on the circle | Cycloid |
| Line | Conic section | Center of the conic | Sturm roulette |
| Line | Conic section | Focus of the conic | Delaunay roulette |
| Line | Parabola | Focus of the parabola | Catenary |
| Line | Ellipse | Focus of the ellipse | Elliptic catenary |
| Line | Hyperbola | Focus of the hyperbola | Hyperbolic catenary |
| Line | Hyperbola | Center of the hyperbola | Rectangular elastica |
| Line | Epicycloid or Hypocycloid | Center | Ellipse |
| Circle | Circle | Any | Centered trochoid |
| Parabola | Equal parabola parameterized in opposite direction | Vertex of the parabola | Cissoid of Diocles |
| Catenary | Line | See example above | Line |
Read more about this topic: Roulette (curve)
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