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A Butterfly Theorem for Quadrilaterals

by Sidney Kung (University of North Florida)

This article originally appeared in:
Mathematics Magazine
October, 2005

Subject classification(s): Patterns | Plane Geometry | Geometry and Topology
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The Butterfly Theorem states, "Through the midpoint I of a chord AC of a circle, two other chords EF and HG are drawn. If EG and HF intersect AC at M and N, respectively, then IM = IN."

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