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Draw squares on AB and BC on two sides of the triangle ABC. Let R and S be the points on the squares opposite vertex B. Then the midpoint M of RS is independent of B.
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
For more information see Bottema's Theorem: What Is It?
Wolfram Demonstrations Project
Published: March 7 2011