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Three Circles Defined by Chords


	Through a point on a circle draw three chords. Using each chord as a diameter, draw three circles. The pairwise intersections of the circles are collinear. Drag the red points to change the figure.


	Contributed by: Jay Warendorff

See problem 9 in Classical Theorems in Plane Geometry.

Chord (Wolfram MathWorld)

Circle (Wolfram MathWorld)

Collinear (Wolfram MathWorld)

"Three Circles Defined by Chords" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ThreeCirclesDefinedByChords/

Contributed by: Jay Warendorff

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