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Cheng-Pleijel Point of a Quadrangle

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Visit this site: http://home.earthlink.net/~benny/ChengPleijel.html

Author:Ben Cheng
Description: A Java applet that lets you play with the Cheng-Pleijel point: imagine a point O' at a certain height H above the flat plane containing the quadrangle ABCD and which orthogonally projects down directly to the point O on the plane. By definition, the Cheng-Pleijel point O is the point where the sums of the areas of the triangles O'AB, O'BC, O'CD, O'DA, are at a minimum for a given value of H. The applet lets you manipulate the quadrangle and the height of O'.

Levels: High School (9-12), College
Languages: English
Resource Types: Web Interactive/Java
Math Topics: Higher-Dimensional Geometry

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