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