# Coordinate System

A Coordinate System is a mathematical system that uses coordinates to uniquely determine the position of a point.

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**Example(s):****See:**Analytic Geometry, Geometry, Manifold, Euclidean Space, Tuple, Real Number, Complex Number, Commutative Ring.

## References

### 2015

- (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.^{[1]}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.

- In geometry, a

- ↑ Woods p. 1