"Coordinate" redirects here. For coordinates on the Earth, see Spatial reference system. For other uses, see Coordinate (disambiguation).
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.[1][2] 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.[3]
^Woods p. 1
^Weisstein, Eric W. "Coordinate System". MathWorld.
In geometry, a coordinatesystem is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other...
In geometry, a Cartesian coordinatesystem (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinatesystem that specifies each point uniquely...
In mathematics, a spherical coordinatesystem is a coordinatesystem for three-dimensional space where the position of a given point in space is specified...
A geographic coordinatesystem (GCS) is a spherical or geodetic coordinatesystem for measuring and communicating positions directly on the Earth as latitude...
In mathematics, the polar coordinatesystem is a two-dimensional coordinatesystem in which each point on a plane is determined by a distance from a reference...
The galactic coordinatesystem is a celestial coordinatesystem in spherical coordinates, with the Sun as its center, the primary direction aligned with...
A cylindrical coordinatesystem is a three-dimensional coordinatesystem that specifies point positions by the distance from a chosen reference axis (axis...
The equatorial coordinatesystem is a celestial coordinatesystem widely used to specify the positions of celestial objects. It may be implemented in spherical...
In astronomy, the ecliptic coordinatesystem is a celestial coordinatesystem commonly used for representing the apparent positions, orbits, and pole orientations...
A projected coordinatesystem – also called a projected coordinate reference system, planar coordinatesystem, or grid reference system – is a type of...
The horizontal coordinatesystem is a celestial coordinatesystem that uses the observer's local horizon as the fundamental plane to define two angles:...
A spatial reference system (SRS) or coordinate reference system (CRS) is a framework used to precisely measure locations on the surface of Earth as coordinates...
In astronomy, coordinatesystems are used for specifying positions of celestial objects (satellites, planets, stars, galaxies, etc.) relative to a given...
The Swiss coordinatesystem (or Swiss grid) is a geographic coordinatesystem used in Switzerland and Liechtenstein for maps and surveying by the Swiss...
In geometry, a barycentric coordinatesystem is a coordinatesystem in which the location of a point is specified by reference to a simplex (a triangle...
various galaxies defined in 1976 the equator of the supergalactic coordinatesystem de Vaucouleurs developed. In years thereafter with more observation...
was used. The World Geodetic System WGS84 ellipsoid is now generally used to model the Earth in the UTM coordinatesystem, which means current UTM northing...
The selenographic coordinatesystem is used to refer to locations on the surface of Earth's moon. Any position on the lunar surface can be referenced...
A planetary coordinatesystem (also referred to as planetographic, planetodetic, or planetocentric) is a generalization of the geographic, geodetic, and...
The State Plane CoordinateSystem (SPCS) is a set of 125 geographic zones or coordinatesystems designed for specific regions of the United States. Each...
The perifocal coordinate (PQW) system is a frame of reference for an orbit. The frame is centered at the focus of the orbit, i.e. the celestial body about...
The sigma coordinatesystem is a common coordinatesystem used in computational models for oceanography, meteorology and other fields where fluid dynamics...
In geometry, curvilinear coordinates are a coordinatesystem for Euclidean space in which the coordinate lines may be curved. These coordinates may be...
The Hexagonal Efficient CoordinateSystem (HECS), formerly known as Array Set Addressing (ASA), is a coordinatesystem for hexagonal grids that allows...
phrase machine coordinatesystem refers to the physical limits of the motion of the machine in each of its axes, and to the numerical coordinate which is assigned...
In solar observation and imaging, coordinatesystems are used to identify and communicate locations on and around the Sun. Since the Sun is gaseous in...
astronomy, a frame of reference (or reference frame) is an abstract coordinatesystem whose origin, orientation, and scale are specified by a set of reference...