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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 toroidal coordinates ： ウィキペディア英語版 toroidal coordinates Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci $F\_1$ and $F\_2$ in bipolar coordinates become a ring of radius $a$ in the $xy$ plane of the toroidal coordinate system; the $z$-axis is the axis of rotation. The focal ring is also known as the reference circle. ==Definition== The most common definition of toroidal coordinates $(\backslash sigma,\; \backslash tau,\; \backslash phi)$ is :$$ x = a \ \frac \cos \phi :$$ y = a \ \frac \sin \phi :$$ z = a \ \frac where the $\backslash sigma$ coordinate of a point $P$ equals the angle $F\_\; P\; F\_$ and the $\backslash tau$ coordinate equals the natural logarithm of the ratio of the distances $d\_$ and $d\_$ to opposite sides of the focal ring :$$ \tau = \ln \frac}. The coordinate ranges are and $\backslash tau\backslash ge\; 0$ and 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「toroidal 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.