High Quality Content by WIKIPEDIA articles! Paraboloidal coordinates are a three-dimensional orthogonal coordinate system (?,?,?) 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.Differential operators such as nabla cdot mathbf{F} and nabla times mathbf{F} can be expressed in the coordinates (?,?,?) by substituting the scale factors into the general formulae found in orthogonal coordinates.

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