- See: Analytic Geometry, Geometry, Manifold, Euclidean Space, Tuple, Real Number, Complex Number, Commutative Ring.
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/coordinate_system Retrieved:2015-11-7.
- 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.
- Woods p. 1