The Lissajous Curve

Introduction:

The Lissajous curve is sometimes also called the Bowditch curve, after Nathaniel Bowditch, who studied pendulums (among other things), and Jules Lissajous, a French physicist who studied vibrations.

Definition:

Properties:

Velocity and Acceleration:

The Tangent Vector:

Arc Length:

Curvature:

kappa[t] = [click for formula]