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The universal polar stereographic (UPS) coordinate system is used in conjunction with the universal transverse Mercator (UTM) coordinate system to locate positions on the surface of the Earth. Like the UTM coordinate system, the UPS coordinate system uses a metric-based cartesian grid laid out on a conformally projected surface.
A two-dimensional coordinate system on the stereographic plane is an alternative setting for spherical analytic geometry instead of spherical polar coordinates or three-dimensional cartesian coordinates. This is the spherical analog of the Poincaré disk model of the hyperbolic plane.
Stereographic projection of the world north of 30°S. 15° graticule. The stereographic projection with Tissot's indicatrix of deformation. The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity.
This transverse, ellipsoidal form of the Mercator is finite, unlike the equatorial Mercator. Forms the basis of the Universal Transverse Mercator coordinate system. 1922 Roussilhe oblique stereographic: Henri Roussilhe 1903 Hotine oblique Mercator Cylindrical Conformal M. Rosenmund, J. Laborde, Martin Hotine 1855 Gall stereographic: Cylindrical
An example is the NADCON method for transforming from the North American Datum (NAD) 1927 to the NAD 1983 datum. [26] ... Universal polar stereographic coordinate system;
Hyperspherical coordinates. Sphere S 2: Spherical coordinates. Stereographic chart Central projection chart Axial projection chart Mercator chart. 3-sphere S 3: Polar chart. Stereographic chart Mercator chart. Euclidean spaces: n-dimensional Euclidean space E n: Cartesian chart: Euclidean plane E 2: Bipolar coordinates. Biangular coordinates ...
Universal Transverse Mercator (UTM): not a single coordinate system, but a series of 60 zones (each being a gore 6° wide), each a system with its own Transverse Mercator projection. Universal Polar Stereographic (UPS): a pair of coordinate systems covering the Arctic and Antarctica using a Stereographic projection.
Another early example of this system is the world map by ‛Ali b. Ahmad al-Sharafi of Sfax in 1571. [3] The projection appears in many Renaissance maps, and Gerardus Mercator used it for an inset of the north polar regions in sheet 13 and legend 6 of his well-known 1569 map.