# Curves

### Cayley's Sextic

- Cartesian equation:
- $4(x^{2} + y^{2} - ax)^{3} = 27a^{2}(x^{2} + y^{2})^{2}$

- Polar equation:
- $r = 4a \cos^{3}( \theta /3)$

- Cartesian equation:
- $4(x^{2} + y^{2} - ax)^{3} = 27a^{2}(x^{2} + y^{2})^{2}$

- Polar equation:
- $r = 4a \cos^{3}( \theta /3)$