EVOLUTE : Summary

If you have worked through the evolute constructions, you will have discovered the results in the following table.

CURVES AND THEIR EVOLUTES
Curve
Evolute

Astroid

Astroid

Cardioid

Cardioid

Catenary

Cissoid

Cycloid

Cycloid

Ellipse

Lamé curve

Hyperbola

Lamé curve

Nephroid

Nephroid

Parabola

Semi-cubical parabola

Tractrix

Catenary