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An Anticomplementary Triangle Surprise: What Is It About?
A Mathematical Droodle


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.


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The applet purports to demonstrate a surprising result in triangle geometry: two step Napoleon's triangle construction yields the anticomplementary triangle, i.e. the triangle formed by the straight lines passing through the reference triangle's vertices parallel to the opposite sides.

Explanation

Copyright © 1996-2009 Alexander Bogomolny

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