Equilic Quadrilateral I, A Variation: What is this about?
A Mathematical Droodle
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Discussion
Copyright © 1996-2008 Alexander Bogomolny
The applet may suggest the following generalization of a statement due to Jack Garfunkel concerning equilic quadrilaterals :
Assume in a quadrilateral ABCD AD = BC, S the intersection of AD and BC. Let Q be the apex of an isosceles triangle CDQ drawn away from AB with CQD = BSA. Then S is the midpoint of the arc of the circumcircle of ΔABS containing S.
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.
The proof is identical to the one of a similar problem for equilic quadrilaterals.
Copyright © 1996-2008 Alexander Bogomolny
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