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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 Tangent indicatrix ： ウィキペディア英語版 Tangent indicatrix In differential geometry, the tangent indicatrix of a closed space curve is a curve on the unit sphere intimately related to the curvature of the original curve. Let $\backslash gamma(t)\backslash ,$ be a closed curve with nowhere-vanishing tangent vector $\backslash dot$. Then the tangent indicatrix $T(t)\backslash ,$ of $\backslash gamma\backslash ,$ is the closed curve on the unit sphere given by $T\; =\; \backslash frac|\}$. The total curvature of $\backslash gamma\backslash ,$ (the integral of curvature with respect to arc length along the curve) is equal to the arc length of $T\backslash ,$. ==References== * Solomon, B. "Tantrices of Spherical Curves." Amer. Math. Monthly 103, 30-39, 1996. 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「Tangent indicatrix」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.