Back هلال أبقراط Arabic Lluna d'Hipòcrates Catalan Möndchen des Hippokrates German Μηνίσκοι του Ιπποκράτη Greek Kvadraturo de la luno Esperanto Cuadratura de la lúnula Spanish هلال بقراط Persian Hippokrateen puolikuut Finnish Théorème des deux lunules French הסהרון של היפוקרטס HE
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.[1]
- ^ Postnikov, M. M. (2000), "The problem of squarable lunes", American Mathematical Monthly, 107 (7): 645–651, doi:10.2307/2589121, JSTOR 2589121. Translated from Postnikov's 1963 Russian book on Galois theory.