Three Circles Defined by Chords
Initializing live version

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.
[more]
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
See problem 9 in Classical Theorems in Plane Geometry.
Permanent Citation
"Three Circles Defined by Chords"
http://demonstrations.wolfram.com/ThreeCirclesDefinedByChords/
Wolfram Demonstrations Project
Published: March 7 2011