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Albers projection

The Albers equal-area conic projection, or Albers projection, is a conic, equal area map projection that uses two standard parallels. Although scale and shape are not preserved, distortion is minimal between the standard parallels. It was first described by Heinrich Christian Albers (1773-1833) in a German geography and astronomy periodical in 1805.

Official adoption
The Albers projection is used by some big countries as "official standard projection" for Census and other applications. Some "official products" also adopted Albers projection, for example most of the maps in the National Atlas of the United States. ==Formulas==
Formulas
For sphere Snyder describes generating formulae for the projection, as well as the projection's characteristics. Coordinates from a spherical datum can be transformed into Albers equal-area conic projection coordinates with the following formulas, where {R} is the radius, \lambda is the longitude, \lambda_0 the reference longitude, \varphi the latitude, \varphi_0 the reference latitude and \varphi_1 and \varphi_2 the standard parallels: : \begin{align} x &= \rho \sin\theta, \\ y &= \rho_0 - \rho \cos\theta, \end{align} where : \begin{align} n &= \tfrac12 (\sin\varphi_1 + \sin\varphi_2), \\ \theta &= n (\lambda - \lambda_0), \\ C &= \cos^2 \varphi_1 + 2 n \sin \varphi_1, \\ \rho &= \tfrac{R}{n} \sqrt{C - 2 n \sin \varphi}, \\ \rho_0 &= \tfrac{R}{n} \sqrt{C - 2 n \sin \varphi_0}. \end{align} Lambert equal-area conic If just one of the two standard parallels of the Albers projection is placed on a pole, the result is the Lambert equal-area conic projection. ==See also==
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