Evolute of a curve

### 16.2.3 Evolute of a curve

The evolute command finds and draws the evolute of a curve.

- To find the evolute from a parameterization, evolute takes two arguments:
  - C, a curve.
  - t, the parameter of the curve.
- evolute(C,t) draws and returns the evolute of the curve.
- To find the evolute from a curve object, evolute takes C, a curve.
- evolute(C) draws and returns the evolute of C.

#### Examples

evolute(plot(x^2))

equation(evolute(plot(x^2)))

27 x2−16 y3+24 y2−12 y+2=0 |  |  |  |  |  |  |  |  |  |

equation(evolute([t^2,t],t))

16 x3−24 x2+12 x−27 y2−2=0 |  |  |  |  |  |  |  |  |  |