Circle and Hyperbola As Lighthouse Curves A Mathematical Droodle Two lines rotate with constant angular velocities around two points in a plane. (An apt metaphore of two lighthouses was invented by R. K. Guy of the University of Calgary.) The point illuminated by two beams traces a curve. What is it? Equal angular velocities: This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. Buy this applet What if applet does not run? Opposite angular velocities This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. Buy this applet What if applet does not run? Copyright © 1996-2008 Alexander Bogomolny                 Copyright © 1996-2008 Alexander Bogomolny

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