Circles, Ellipses, and Lissajous Curves
- J Mulholland
Some of the most basic parametric curves. Here we see that circles, ellipses and Lissajous curves all arise from sine and cosine through parametrizations. All the examples here are curves of the form for constants . Drag the slider to change the input and what the curve be drawn. Drag the slider "Example" to change to a different example.
You can type your own examples into the input field. For a curve parametrized by , from t=a to t=b, type curve[f(t), g(t), t, a, b] where f and g are some functions of t. If you want to use the slider to control how your example is drawn use T for the value of b.