Discussion:  All Topics 
Topic:  equilaterial Triangle 
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Subject:  Viviani's Theorem 
Author:  Chuck 
Date:  Sep 17 2003 
called "Viviani's Theorem."
A year ago I coauthored an online exercise featuring this theorem at a
workshop called "WebFeats II" sponsored by Duke and West Point.
http://www.math.duke.edu/education/webfeatsII/
The exercise and associated JavaSketchpad applets can be found at
http://www.math.duke.edu/education/webfeatsII/gdrive/Team%20D/project/
Back in 1961 in the Second Scientific American book of Mathematical Puzzles and
Diversions Martin Gardner pointed out the ambiguities that might arise from
using this theorem for solving the Broken Stick Problem. Our online exercise is
extended to this problem.
Charles Oelsner
Syracuse, NY
 
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