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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 are defined by the equations, in terms of cartesian coordinates: : : The curves of constant form confocal parabolae : that open upwards (i.e., towards ), whereas the curves of constant form confocal parabolae : that open downwards (i.e., towards ). 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
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