翻訳と辞書 Words near each other ・ Parabolic cylinder function ・ Parabolic cylindrical coordinates ・ Parabolic fractal distribution ・ Parabolic geometry ・ Parabolic geometry (differential geometry) ・ Parabolic induction ・ Parabolic Lie algebra ・ Parabolic loudspeaker ・ Parabolic microphone ・ Parabolic partial differential equation ・ Parabolic reflector ・ Parabolic SAR ・ Parabolic trajectory ・ Parabolic trough ・ Paraboloid ・ Paraboloidal coordinates ・ Paraborne Aviation ・ Paraborne Backplane ・ Parabothus ・ Parabotia ・ Parabouchetia ・ Parabounce ・ Parabrachial area ・ Parabrachionycha ・ Parabrachylomia ・ Parabradysaurus ・ Parabrahm ・ Parabrahm (album) ・ Parabramis pekinensis ・ Parabraxas Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Paraboloidal coordinates ： ウィキペディア英語版 Paraboloidal coordinates Paraboloidal coordinates are a three-dimensional orthogonal coordinate system $(\backslash lambda,\; \backslash mu,\; \backslash nu)$ that generalizes the two-dimensional parabolic coordinate system. Similar to the related ellipsoidal coordinates, the paraboloidal coordinate system has orthogonal quadratic coordinate surfaces that are ''not'' produced by rotating or projecting any two-dimensional orthogonal coordinate system. ==Basic formulae== The Cartesian coordinates $(x,\; y,\; z)$ can be produced from the ellipsoidal coordinates $(\; \backslash lambda,\; \backslash mu,\; \backslash nu\; )$ by the equations :$$ x^ = \frac :$$ y^ = \frac :$$ z = \frac \left( A + B - \lambda - \mu -\nu \right) where the following limits apply to the coordinates :$$ \lambda < B < \mu < A < \nu Consequently, surfaces of constant $\backslash lambda$ are elliptic paraboloids :$$ \frac + \frac = 2z + \lambda and surfaces of constant $\backslash nu$ are likewise :$$ \frac + \frac = 2z + \nu whereas surfaces of constant $\backslash mu$ are hyperbolic paraboloids :$$ \frac + \frac = 2z + \mu 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「Paraboloidal 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.