# Curves

### Lissajous Curves

- Parametric Cartesian equation:
- $x = a \sin(nt + c), y = b \sin(t)$

### Description

Lissajous curves or Lissajous figures are sometimes called*Bowditch curves*after Nathaniel Bowditch who considered them in 1815. They were studied in more detail (independently) by Jules-Antoine Lissajous in 1857.

Lissajous curves have applications in physics, astronomy and other sciences.

Nathaniel Bowditch (1773-1838) was an American. He learnt Latin to study Newton's

*Principia*and later other languages to study mathematics in these languages. His

*New American Practical Navigator*(1802) and his translation of Laplace's

*Mécanique céleste*gave him an international reputation.