# Curves

### Talbot's Curve

- Parametric Cartesian equation:
- $x = (a^{2} + f^{2}\sin^{2}(t))\cos(t)/a, y = (a^{2} - 2f^{2} + f^{2}\sin^{2}(t))\sin(t)/b$

- Parametric Cartesian equation:
- $x = (a^{2} + f^{2}\sin^{2}(t))\cos(t)/a, y = (a^{2} - 2f^{2} + f^{2}\sin^{2}(t))\sin(t)/b$