What are the Cartesian coordinates of an oblique?
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In oblique coordinates the axes are not perpendicular; the abscissa of P is measured along a parallel to the x -axis, and the ordinate is measured along a parallel to the y -axis, but neither of these parallels is perpendicular to the other coordinate axis as in rectangular coordinates. Similarly, a point in space may be specified by the triple of numbers ( x,y,z ) representing the distances from three planes determined by three intersecting straight lines not all in the same plane; i.e., the x -coordinate represents the distance from the yz -plane measured along a parallel to the x -axis, the y -coordinate represents the distance from the xz -plane measured along a parallel to the y -axis, and the z -coordinate represents the distance from the xy -plane measured along a parallel to the z -axis (the axes are usually taken to be mutually perpendicular).
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