Equilic Quadrilateral I, A Variation: What is this about?
A Mathematical Droodle


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Discussion

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Copyright © 1996-2018 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.


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The proof is identical to the one of a similar problem for equilic quadrilaterals.

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|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny
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