Miquel’s Theorem

Miquel’s Theorem, named after Auguste Miquel. Draw any triangle, pick a point on each side, and connect these in pairs to the vertices using circles as shown. The circles will always intersect in a single point, called the Miquel point. Further, the angles marked in green will all be equal. credits: Greg Ross http://www.futilitycloset.com/2013/08/18/miquels-theorem/ https://en.wikipedia.org/wiki/Miquel%27s_theorem