MatheAss 9.0Analysis

Parametric Curves

Curves, which are not determined by an explicit function term, but by two functions for the horizontal and vertical direction, can be plotted with this program.

Examples:

1. The Circle

    x(k) = sin(k)

    y(k) = cos(k)

    k from -Pi to Pi

2. The Spirale

    x(k) = k/8*sin(k)

    y(k) = k/8*cos(k)

    k from 0 to 20

3. The Lissajou figures

    x(k) = sin(3*k)

    y(k) = cos(5*k)

    k from -Pi to Pi

Lissajou figures are obtained when two a-c voltages with different frequencies are applied to an oscilloscope.


See also:

Supported Functions
Adjusting the Coordinate System
Wikipedia: Parametric equation | Lissajous curve
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