Geometry Problem 1344: Bottema's Theorem, Triangle, Two Squares, Midpoint
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Draw squares ABDE and BCFG on sides AB and BC of a triangle ABC. Then the midpoint M of EF is independent of B and the triangles AMC
and DMG are an isosceles right triangles.
Oene Bottema (1901-1992), the great Dutch geometer, was also a good historian
of mathematics. He published several math-history articles, mainly in the
Dutch periodical "Euclides".
Background image: Rector Magnificus Oene Bottema. Source:
Wikipedia, Oene Bottema