# Manuals/calci/LISSAJOUS

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**LISSAJOUS (TypeOrSettings,AsTable)**

- is any type like Ellipse or circle and so on.

## Description

- This function shows the values of the Lissajous curve.
- 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: In the Lissajous equation,a=1,b=1,A=1,B=1 and = radians, the figure is a circle.
- So these values substitute in the equation and it will shows the result.With the above values when =0,then the value will show for line.
- In the same way the ratio =1 and =0,then the values will be shown for ellipse.
- Suppose = 2, = , then the values will show for parabola.
- The Lissajous curve gets more complicated for other ratios, which are closed only if a/b is rational.

## Examples

- LISSAJOUS("circle",4..6)

4.999998731727338 | 1 |

4.98033339924072 | 1.3993336665873126 |

4.9208978911521815 | 1.7946773231802449 |

4.822286067411776 | 2.1820808266453584 |

4.685483224765582 | 2.5576733692346023 |

4.511856251996312 | 2.917702154416812 |

4.303139972422432 | 3.2585698935801415 |

4.061419810117014 | 3.576870748950764 |

3.789110953039751 | 3.8694243635980907 |

3.48893422127722 | 4.133307638509933 |

3.163888881507954 | 4.365883939231585 |

2.817222679321226 | 4.564829440245742 |

2.4523993888166733 | 4.728156343868905 |

2.073064203718472 | 4.854232741668772 |

and so on.

## Related Videos

## See Also

## References