Doodling and Miracles
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http://www.cuttheknot.org/triangle/Morley/Morley.shtml  


Cut the Knot!, Alexander Bogomolny  
Almost 100 years ago, Frank Morley proved a curious theorem from elementary geometry that had remained unknown until 1899. With time, the theorem became known in mathematical folklore as Morley's Miracle (Morley's Trisector Theorem is a more mundane term.) The theorem states that the three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle. A series of applets is provided for explorations of this theorem. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles, Articles, Web Interactive/Java 
Math Topics:  Triangles and Other Polygons 
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