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  1. Transverse Mercator projection - Wikipedia

    • A typical value of the scale factor is k 0 = 0.9996 so that k = 1 when x is approximately 180 km. When x is approximately 255 km and k 0 = 1.0004: the scale factor is within 0.04% of unity over a strip of about 510 km wide. See more

    Overview

    The transverse Mercator map projection (TM, TMP) is an adaptation of the standard Mercator projection. The … See more

    Standard and transverse aspects

    The transverse Mercator projection is the transverse aspect of the standard (or Normal) Mercator projection. They share the same underlying mathematical construction and consequently the transverse … See more

    Spherical transverse Mercator

    In constructing a map on any projection, a sphere is normally chosen to model the Earth when the extent of the mapped region exceeds a few hundred kilometers in length in both dimensions. For maps of smaller regi… See more

    Ellipsoidal transverse Mercator

    The ellipsoidal form of the transverse Mercator projection was developed by Carl Friedrich Gauss in 1822 and further analysed by Johann Heinrich Louis Krüger in 1912.
    The project… See more

    Formulae for the spherical transverse Mercator

    The normal cylindrical projections are described in relation to a cylinder tangential at the equator with axis along the polar axis of the sphere. The cylindrical projections are constructed so that all points on a meridian ar… See more

    Formulae for the ellipsoidal transverse Mercator

    Details of actual implementations
    • Gauss-Kruger series in longitude: Transverse Mercator: Redfearn series
    • Gauss-Kruger series in n (third flattening): Transverse Mercator: flattening series… See more

    Coordinates, grids, eastings and northings

    The projection coordinates resulting from the various developments of the ellipsoidal transverse Mercator are Cartesian coordinates such that the central meridian corresponds to the x axis and the equator correspond… See more

     
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