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Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal coordinate system is not produced by rotating or projecting any two-dimensional orthogonal coordinate system. ==Basic formulae== The Cartesian coordinates can be produced from the ellipsoidal coordinates by the equations : : : where the following limits apply to the coordinates : Consequently, surfaces of constant are ellipsoids : whereas surfaces of constant are hyperboloids of one sheet : because the last term in the lhs is negative, and surfaces of constant are hyperboloids of two sheets : because the last two terms in the lhs are negative. 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「Ellipsoidal coordinates」の詳細全文を読む スポンサード リンク
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