: Mathématiques: lune of Hippocrates

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lune of Hippocrates

In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It was the first curved figure to have its exact area calculated mathematically.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lune_of_Hippocrates)

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