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Oblique Coordinates


ObliqueCoordinates

A plane coordinate system whose axes are not perpendicular. The x-coordinate of a point P is the abscissa of its projection onto the x-axis in the direction of the y-axis, and the y-coordinate is similarly determined.

ObliqueCoordinatesCircle

Unlike in the more general case of affine coordinates, in oblique coordinates, the unit length is the same on both axes. If the Cartesian equation of a curve in a Cartesian coordinate system is applied to an oblique coordinate system, the result will be a distorted curve. For example, a circle will be transformed into an ellipse.


See also

Cartesian Coordinates, Curvilinear Coordinates

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Oblique Coordinates." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ObliqueCoordinates.html

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