Cyclic Quadrilaterals, Subtriangles, and Incenters


	The incenters of the four triangles determined by the vertices of a cyclic quadrilateral taken three at a time form a rectangle. Drag the blue points on the circle to reshape the blue quadrilateral and the red rectangle.


	Contributed by: Jay Warendorff

Cyclic Quadrilateral (Wolfram MathWorld)

"Cyclic Quadrilaterals, Subtriangles, and Incenters" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CyclicQuadrilateralsSubtrianglesAndIncenters/

Contributed by: Jay Warendorff

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Plane Geometry
Triangles

Browse all topics

The Contact Triangle and Two Other Subtriangles
The Intersections of Extended Cevians with Three Circumcircles of Subtriangles
Perpendicular Lines Generated by a Quadrilateral
Collinearity of an Incenter and Two Circumcenters
The Line through the Incenter and Circumcenter
Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Division of an Angle Bisector by the Incenter
Collinearity of an Orthocenter, the Incenter, and the Circumcenter
A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter
Three Subtriangles of a Triangle

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