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High Quality Content by WIKIPEDIA articles! In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space. In a Cartesian coordinate system, the origin is the point where the axes of the system intersect. In Euclidean geometry, the origin may be chosen freely as any convenient point of reference. The most common coordinate systems are two-dimensional (contained in a plane) and three-dimensional (contained in a space) systems, having two and three perpendicular axes, respectively.