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Morley centers : ウィキペディア英語版 | Morley centers In geometry the Morley centers are two special points associated with a plane triangle. Both of them are triangle centers. One of them called first Morley center (or simply, the Morley center ) is designated as X(356) in Clark Kimberling's Encyclopedia of Triangle Centers, while the other point called second Morley center〔 (or the 1st Morley–Taylor–Marr Center〔) is designated as X(357). The two points are also related to Morley's trisector theorem which was discovered by Frank Morley in around 1899. ==Definitions==
Let ''DEF'' be the triangle formed by the intersections of the adjacent angle trisectors of triangle ''ABC''. Triangle ''DEF'' is called the ''Morley triangle'' of triangle ''ABC''. Morley's trisector theorem states that the Morley triangle of any triangle is always an equilateral triangle.
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