Miquel's Pentagram Theorem

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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.

External Links

Concyclic (Wolfram MathWorld)
Miquel's Pentagram Theorem (Wolfram MathWorld)
Miquel Five Circles Theorem (Wolfram MathWorld)
Pentagon (Wolfram MathWorld)
Pentagram (Wolfram MathWorld)

Permanent Citation

Jay Warendorff
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​"Miquel's Pentagram Theorem"​
​http://demonstrations.wolfram.com/MiquelsPentagramTheorem/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011