Map projection
representation of the surface of a sphere or ellipsoid onto a plane map

In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane.
Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography.
All projections of a sphere to a plane necessarily distort the surface in some way. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections.
More generally, projections are considered in several fields of pure mathematics, including differential geometry, projective geometry, and manifolds. However, the term map projection refers specifically to a cartographic projection.
Despite the name's literal meaning, projection is not limited to perspective projections, such as those resulting from casting a shadow on a screen, or the rectilinear image produced by a pinhole camera on a flat film plate.
Begin with the source’s own compact description: “Map projection” is representation of the surface of a sphere or ellipsoid onto a plane map. The dossier treats that line as a proposition to test through projection, representation and surface, not as a finished interpretation.
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The phrase “representation of the surface of a sphere or ellipsoid onto a plane map” supplies a clear boundary for inquiry. It also exposes the unanswered questions: who defined that boundary, when it became stable and which sources sit outside it.
The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Sep 20, 2026. The linked authority identifier is Q186386.
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This entry incorporates text from “Map projection” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.