Theorem of the Day

Java applet illustrating The Five Circle Theorem

Test the theorem with this applet, created using David Joyce's Geometry Applet software. Move the circle on points X, Y and Z until they lie exactly on any three distinct points of intersection of the circles, other than the points A, B, C, D and E of the pentagon. You will find that two other circle intersections are automatically included! Move the points P, Q, R, S and T to set yourself a new challenge! |

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