Lissajous curve construction
This worksheet shows how to construct a Lissajous curve.
- Point B' is the rotation of point B around the origin by angle α times the value of slider #1.
- Point b'<sub>1</sub> is the rotation of point B around the origin by the angle α times the value of slider #2.
- The Lissajous curve is the locus of point D, which is the intersection of lines e and f.
- Lines e and f are perpendicular to each other.
- Move point C to trace the locus of point B.
- Adjust sliders #1 and #2 to change the shape of the Lissajous curve.
Click here to download the worksheet. Note: the file is not a Zip file, even though it has the "zip" extension. Simply change the extension to "ggb" after downloading it. You can download an old Geometer's Sketchpad version of this worksheet, here.
Created by Michael Horvath using GeoGebra. Last modified: Monday, 08-Dec-08 13:27:15 PST