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A transverse Mercator projection. The transverse Mercator map projection (TM, TMP) is an adaptation of the standard Mercator projection.The transverse version is widely used in national and international mapping systems around the world, including the Universal Transverse Mercator.
The Universal Transverse Mercator (UTM) is a map projection system for assigning coordinates to locations on the surface of the Earth.Like the traditional method of latitude and longitude, it is a horizontal position representation, which means it ignores altitude and treats the earth surface as a perfect ellipsoid.
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
This transverse Mercator projection is mathematically the same as a standard Mercator, but oriented around a different axis. Once a choice is made between projecting onto a cylinder, cone, or plane, the aspect of the shape must be specified.
A transverse Mercator projection tilts the cylinder axis so that it is perpendicular to Earth's axis. The tangent standard line then coincides with a meridian and its opposite meridian, giving a constant scale factor along those meridians and making the projection useful for mapping regions that are predominately north–south in extent.
Mercator projection (conformal cylindrical projection) Mercator projection of normal aspect (Every rhumb line is drawn as a straight line on the map.) Transverse Mercator projection. Gauss–Krüger coordinate system (This projection preserves lengths on the central meridian on an ellipsoid) Oblique Mercator projection
Most state plane zones are based on either a transverse Mercator projection or a Lambert conformal conic projection. The choice between the two map projections is based on the shape of the state and its zones. States that are long in the east–west direction are typically divided into zones that are also long east–west.
Transverse Mercator projection has many implementations. Louis Krüger in 1912 developed one of his two implementations [1] that expressed as a power series in the longitude difference from the central meridian. These series were recalculated by Lee in 1946, [2] by Redfearn in 1948, [3] and by Thomas in 1952.