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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 Fundamental theorem of curves ： ウィキペディア英語版 Fundamental theorem of curves In differential geometry, the fundamental theorem of space curves states that every regular curve in three-dimensional space, with non-zero curvature, has its shape (and size) completely determined by its curvature and torsion.〔.〕〔.〕 ==Use== A curve can be described, and thereby defined, by a pair of scalar fields: curvature $\backslash kappa$ and torsion $\backslash tau$, both of which depend on some parameter which parametrizes the curve but which can ideally be the arc length of the curve. From just the curvature and torsion, the vector fields for the tangent, normal, and binormal vectors can be derived using the Frenet-Serret formulas. Then, integration of the tangent field (done numerically, if not analytically) yields the curve. 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「Fundamental theorem of curves」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.