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Projected Coordinate Systems

A Projected coordinate system (PCS) is a two-dimensional planar surface. However, the Earth's surface is three-dimensional. Transforming three-dimensional space onto a two-dimensional surface is called projection. Projection formulas are mathematical expressions that convert data from a geographical location (latitude and longitude) on a sphere or spheroid to a corresponding location (x and y) on a flat, two dimensional surface.

The PCS uses two axes: the x-axis, representing east-west, and the y-axis, representing north-south. They intersect at the origin, (0,0). Locations are defined relative to the origin, using the notation (x,y), where x refers to the distance along the horizontal axis, and y refers to the distance along the vertical axis.

The projected or planar coordinate system locates points relative to the point of origin (0,0) and the x- and y-axes. Points below the x-axis or to the left of the y-axis have negative values.

A PCS inherits the components of a geographic coordinate system and also has:

  • Projection: The mathematical transformation used to convert from geographic coordinates to planar (projected) coordinates.
  • Parameters: Parameters used in the transformation. These parameters are specific to the projection.
  • Units: Linear measurement for coordinates on the plane.

The following example is the string representation of the California State Plane Zone #1, which is a projected coordinate system.

PROJCS["NAD_1983_California_I",GEOGCS["GCS_North_American_1983", DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137,298.257222101]], PRIMEM["Greenwich",0],UNIT["Degree",0.0174532925199433]], PROJECTION["Lambert_Conformal_Conic"],PARAMETER["False_Easting",2000000], PARAMETER["False_Northing",500000],PARAMETER["Central_Meridian",122], PARAMETER["Standard_Parallel_1",40],PARAMETER["Standard_Parallel_2", 41.66666666666666],PARAMETER["Latitude_Of_Origin",39.33333333333334], UNIT["Meter",1]]

See also

Map Projections
Projection Horizons
Linear Units
Geographic Coord Sys as part of PCS Definitions
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