Dynamic Geometry

Abstract

Can you decompose a regular triangle into four pieces and reassemble them to form a square? H. Dudeney performed the trick with a brass-hinged mahogany model before the Royal Society of London in 1905. We are to perform the construction under the dynamic geometry environment provided by the software Geometer's Sketchpad. For preparation, please visit the web site: http:// poncelet.math.nthu.edu.tw/disk4/jsp-all/jsp.html