Miquel's Theorem
Miquel's Theorem
Let A', B', and C' be points (green, not labeled in the figure) on the sides BC, CA, and AB of the triangle ABC. Then the circumcircles through the triangles AB'C', A'BC', and A'B'C intersect in a common point.
Drag the vertices of the triangle or the sliders to change the figure.
External Links
External Links
Permanent Citation
Permanent Citation
Jay Warendorff
"Miquel's Theorem"
http://demonstrations.wolfram.com/MiquelsTheorem/
Wolfram Demonstrations Project
Published: March 7, 2011