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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 Perpendicular bisector construction of a quadrilateral ： ウィキペディア英語版 Perpendicular bisector construction of a quadrilateral In geometry, the perpendicular bisector construction of a quadrilateral is a construction which produces a new quadrilateral from a given quadrilateral using the perpendicular bisectors to the sides of the former quadrilateral. This construction arises naturally in an attempt to find a replacement for the circumcenter of a quadrilateral in the case that is non-cyclic. ==Definition of the construction== Suppose that the vertices of the quadrilateral $Q$ are given by $Q\_1,Q\_2,Q\_3,Q\_4$. Let $b\_1,b\_2,b\_3,b\_4$ be the perpendicular bisectors of sides $Q\_1Q\_2,Q\_2Q\_3,Q\_3Q\_4,Q\_4Q\_1$ respectively. Then their intersections $Q\_i^=b\_b\_$, with subscripts considered modulo 4, form the consequent quadrilateral $Q^$. The construction is then iterated on $Q^$ to produce $Q^$ and so on. An equivalent construction can be obtained by letting the vertices of $Q^$ be the circumcenters of the 4 triangles formed by selecting combinations of 3 vertices of $Q^$. 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「Perpendicular bisector construction of a quadrilateral」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.