# Manuals/calci/LISSAJOUSCURVE

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**LISSAJOUSCURVE (Type,Div,Settings)**

- is the Type of the curve.

## Description

- This function shows the Lissajous curve for each values.
- Lissajous Curve is a parametric plot of the harmonic system.
- It is also called Bowditch Curves.Lissajous used sounds of different frequencies to vibrate a mirror.
- A beam of light reflected from the mirror, was allowed to trace patterns which depended on the frequencies of the sounds – in a setup similar to projectors used in today's laser light shows.
- Lissajous figure is the intersection of two sinusoidal curves, the axes of which are at right angles to each other.
- Mathematically, this translates to a Complex harmonic function:

,

- The appearance of a figure is highly sensitive to a/b, the ratio of a and b.
- According to the ratio value, the shapes of the figures change in interesting ways.
- For a a/b ratio=1, the figure is an ellipse.
- For a=b, = radians, the figure is a circle.
- For = 0, the figure is a line.
- For a/b = 2, = , the result is a parabola.
- The Lissajous curve gets more complicated for other ratios, which are closed only if a/b is rational.

## Examples

- LISSAJOUSCURVE("ellipse")

## Related Videos

## See Also

## References