In geometry, a **coordinate system** is a system which uses one or more numbers, or **coordinates**, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space. The order of the coordinates is significant and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in 'the *x*-coordinate'. In elementary mathematics the coordinates are taken to be real numbers, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and *vice versa*; this is the basis of analytic geometry.

Read more about Coordinate System: Number Line, Cartesian Coordinate System, Polar Coordinate System, Cylindrical and Spherical Coordinate Systems, Homogeneous Coordinate System, Coordinates of Other Elements, Transformations Between Coordinate Systems, Coordinate Curves and Surfaces, Coordinate Maps, Change of Coordinates, Transformations, Systems Commonly Used, List of Orthogonal Coordinate Systems

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### Famous quotes containing the word system:

“In the course of the actual attainment of selfish ends—an attainment conditioned in this way by universality—there is formed a *system* of complete interdependence, wherein the livelihood, happiness, and legal status of one man is interwoven with the livelihood, happiness, and rights of all. On this *system*, individual happiness, etc. depend, and only in this connected *system* are they actualized and secured.”

—Georg Wilhelm Friedrich Hegel (1770–1831)