First Droz-Farny Circle

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Draw three circles of equal diameter around the vertices of a triangle ABC. Extend the lines joining the midpoints of the sides of ABC to meet those circles in six points. Then those points lie on a circle (the first Droz-Farny circle).
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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"First Droz-Farny Circle"
http://demonstrations.wolfram.com/FirstDrozFarnyCircle/
Wolfram Demonstrations Project
Published: March 7 2011