Medians AD, BE, and CF split a triangle ABC into six smaller triangles. Prove that their circumcenters O1, O2, O3, O4, O5, and O6 are concyclic
(lie on a circle called van Lamoen circle).
The figure below was created using the
Geometry Designer for iPad.

Geometry Designer for iPad and iPhone
Geometry Designer is an apps for Math Education on iPad,
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Download on the App Store: Geometry Designer - McTavish Solutions LLC.
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