Theorem of the Day Glossary icon

Java applet illustrating Miquel's Triangle Theorem

interactive Miquel triangle
The above applet, created using David Joyce's Geometry Applet software, shows Miquel's Theorem in action. Click and drag any of the points (A, B, C, a, b or c ) to move the point of intersection of the three red circles. The magenta triangle abc reduces to a line when its vertices are collinear and at this point you should find the red circles meet in a point lying on the green circle on ABC.

 

Return to Miquel's Triangle Theorem