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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Van Lamoen circle ： ウィキペディア英語版 Van Lamoen circle In Euclidean plane geometry, the van Lamoen circle is a special circle associated with any given triangle $T$. It contains the circumcenters of the six triangles that are defined inside $T$ by its three medians.〔〔 Specifically, let $A$, $B$, $C$ be the vertices of $T$, and let $G$ be its centroid (the intersection of its three medians). Let $M\_a$, $M\_b$, and $M\_c$ be the midpoints of the sidelines $BC$, $CA$, and $AB$, respectively. It turns out that the circumcenters of the six triangles $AGM\_c$, $BGM\_c$, $BGM\_a$, $CGM\_a$, $CGM\_b$, and $AGM\_b$ lie on a common circle, which is the van Lamoen circle of $T$.〔 ==History== The van Lamoen circle is named after the mathematician Floor van Lamoen who posed it as a problem in 2000.〔〔 A proof was provided by Kin Y. Li in 2001,〔 and the editors of the Amer. Math. Monthly in 2002.〔〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Van Lamoen circle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.