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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 Parabolic coordinates ： ウィキペディア英語版 Parabolic coordinates Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version of parabolic coordinates is obtained by rotating the two-dimensional system about the symmetry axis of the parabolas. Parabolic coordinates have found many applications, e.g., the treatment of the Stark effect and the potential theory of the edges. == Two-dimensional parabolic coordinates == Two-dimensional parabolic coordinates $(\backslash sigma,\; \backslash tau)$ are defined by the equations, in terms of cartesian coordinates: :$$ x = \sigma \tau\, :$$ y = \frac \left( \tau^ - \sigma^ \right) The curves of constant $\backslash sigma$ form confocal parabolae :$$ 2y = \frac} - \sigma^ that open upwards (i.e., towards $+y$), whereas the curves of constant $\backslash tau$ form confocal parabolae :$$ 2y = -\frac} + \tau^ that open downwards (i.e., towards $-y$). The foci of all these parabolae are located at the origin. 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「Parabolic coordinates」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.