Lambert cylindrical equal-area projection
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Lambert cylindrical equal-area projection with Tissot's indicatrix of deformation.
In cartography, the Lambert cylindrical equal-area projection, or Lambert cylindrical projection, is a cylindrical, equal area map projection. It is a member of the cylindrical equal-area projection family. This projection is undistorted along the Equator (its standard parallel), but compression between parallels increases rapidly away from the poles. Like any cylindrical projection, it stretches parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points.
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[edit] History
The invention of this projection is attributed to the Alsatian mathematician Johann Heinrich Lambert in 1772.[1]
The projection is:
where
is the latitude,
is the longitude and
is the central meridian[2].
[edit] See also
[edit] References
- ^ Mulcahy, Karen. "Cylindrical Projections". City University of New York. http://www.geo.hunter.cuny.edu/mp/cylind.html. Retrieved 2007-03-30.
- ^ Map Projections – A Working Manual, USGS Professional Paper 1395, John P. Snyder, 1987, pp. 76–85
[edit] External links
- Table of examples and properties of all common projections, from radicalcartography.net
- An interactive Java Applet to study the metric deformations of the Lambert Cylindrical Equal-Area Projection.
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