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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 Fenchel's theorem ： ウィキペディア英語版 Fenchel's theorem In differential geometry, Fenchel's theorem (Werner Fenchel, 1929) states that the average curvature of any closed convex plane curve is : $\backslash frac,$ where ''P'' is the perimeter. More generally, for an arbitrary closed curve in space the average curvature is $\backslash ge\; \backslash frac$ with equality holding only for convex plane curves. ==References== * W. Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), 238-252. () 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「Fenchel's theorem」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.