Miquel's Pentagram Theorem


	Extend the sides of a pentagon to form five triangles, one on each side of the pentagon. Then the five points of intersection of neighboring pairs of circumcircles that are not on the pentagon lie on a circle.


	Contributed by: Jay Warendorff

Concyclic (Wolfram MathWorld)

Miquel's Pentagram Theorem (Wolfram MathWorld)

Miquel Five Circles Theorem (Wolfram MathWorld)

Pentagon (Wolfram MathWorld)

Pentagram (Wolfram MathWorld)

"Miquel's Pentagram Theorem" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/MiquelsPentagramTheorem/

Contributed by: Jay Warendorff

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Plane Geometry
Polygons

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Hoehn's Theorem
Ptolemy's Theorem
Fuhrmann's Theorem
The Midpoint Quadrilateral Theorem
Van Aubel's Theorem for Quadrilaterals
Pick's Theorem
Théorème de Pascal (French)
Opposite Angles of a Quadrilateral in a Circle
Lindgren's Dissection of a Pentagram into a Decagon
Miquel's Theorem

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