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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 Lemoine hexagon ： ウィキペディア英語版 Lemoine hexagon In geometry, the Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point. There are two definitions of the hexagon that differ based on the order in which the vertices are connected. ==Area and perimeter== The Lemoine hexagon can be drawn defined in two ways, first as a simple hexagon with vertices at the intersections as defined before. The second is a self-intersecting hexagon with the lines going through the symmedian point as three of the edges and the other three edges join pairs of adjacent vertices. For the simple hexagon drawn in a triangle with side lengths $a,\; b,\; c$ and area $\backslash Delta$ the perimeter is given by :$$ p = \frac and the area by :$$ K = \frac \Delta For the self intersecting hexagon the perimeter is given by :$$ p = \frac and the area by :$$ K = \frac\Delta 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「Lemoine hexagon」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.