Lissajous Curve Construction

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

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'₁ 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.

Download the worksheet here. Download an older Geometer's Sketchpad version of this worksheet here.

Listed works are licensed under a Creative Commons GNU Lesser General Public License License.

This page © Copyright 2009 Michael Horvath. Last modified: February 21 2010 20:34:51.