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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 Barrow's inequality ： ウィキペディア英語版 Barrow's inequality In geometry, Barrow's inequality is an inequality relating the distances between an arbitrary point within a triangle, the vertices of the triangle, and certain points on the sides of the triangle. ==Statement== Let ''P'' be an arbitrary point inside the triangle ''ABC''. From ''P'' and ''ABC'', define ''U'', ''V'', and ''W'' as the points where the angle bisectors of ''BPC'', ''CPA'', and ''APB'' intersect the sides ''BC'', ''CA'', ''AB'', respectively. Then Barrow's inequality states that : $PA+PB+PC\backslash geq\; 2(PU+PV+PW),\backslash ,$ with equality holding only in the case of an equilateral triangle. 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「Barrow's inequality」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.