##### Wiktionary

**coordinate system**

n. (context mathematics English) A method of representing points in a space of given dimensions by coordinates from an origin

##### WordNet

**coordinate system**

n. a system that uses coordinates to establish position [syn: frame of reference, reference system, reference frame]

##### Wikipedia

**Coordinate system**

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". The coordinates are taken to be real numbers in elementary mathematics, 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.