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[[File:Lambert cylindrical equal-area projection SW.jpg|450px|thumb|Lambert cylindrical equal-area projection of the world.]] | |||
[[Image:Oceans base map.svg|right|thumb|450px|Lambert cylindrical equal-area projection of the world, central meridian at 160°W to focus the map on the oceans.]] | |||
[[Image:Tissot indicatrix world map Lambert cyl equal-area proj.svg|thumb|right|450px|Lambert cylindrical equal-area projection with [[Tissot's indicatrix]] of deformation.]] | |||
[[Image:Cilinderprojectie-constructie.jpg|thumb|right|200px|How the Earth is projected onto a cylinder]] | |||
In [[cartography]], the '''Lambert cylindrical equal-area projection''', or '''Lambert cylindrical projection''', is a | |||
[[Map projections#Cylindrical|cylindrical]], [[Map projection#Equal-area|equal area]] [[map projection]]. It is a member of the [[cylindrical equal-area projection]] family. This projection is undistorted along the [[equator]], which is its [[standard parallel]], but distortion increases rapidly towards the poles. Like any cylindrical projection, it stretches parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points. | |||
==History== | |||
The projection is attributed to the [[Alsace|Alsatian]] mathematician [[Johann Heinrich Lambert]] in 1772.<ref name="mulcahy_lambert">{{Cite web | |||
| last =Mulcahy | |||
| first =Karen | |||
| authorlink = | |||
| coauthors = | |||
| title =Cylindrical Projections | |||
| work = | |||
| publisher = [[City University of New York]] | |||
| date = | |||
| url =http://www.geo.hunter.cuny.edu/mp/cylind.html | |||
| doi = | |||
| accessdate = 2007-03-30 | |||
}}</ref> | |||
==Formulae== | |||
:<math>\begin{align} | |||
x &= \lambda - \lambda_0\\ | |||
y &= \sin \varphi | |||
\end{align}</math> | |||
where <math>\scriptstyle\varphi\,</math> is the [[latitude]], <math>\scriptstyle\lambda\,</math> is the [[longitude]] and <math>\scriptstyle\lambda_0\,</math> is the central meridian.<ref>[http://pubs.er.usgs.gov/usgspubs/pp/pp1395 ''Map Projections – A Working Manual''], [[United States Geological Survey|USGS]] Professional Paper 1395, John P. Snyder, 1987, pp. 76–85</ref> | |||
{{Clear}} | |||
==See also== | |||
{{Portal|Atlas}} | |||
* [[List of map projections]] | |||
*[[Lambert azimuthal equal-area projection]] | |||
*[[Lambert conformal conic projection]] | |||
==References== | |||
<references /> | |||
==External links== | |||
* [http://www.radicalcartography.net/?projectionref Table of examples and properties of all common projections], from radicalcartography.net | |||
* [http://www.uff.br/mapprojections/LambertCylindricalEqualArea_en.html An interactive Java Applet to study the metric deformations of the Lambert Cylindrical Equal-Area Projection]. | |||
{{DEFAULTSORT:Lambert Cylindrical Equal-Area Projection}} | |||
[[Category:Equal-area projections]] | |||
{{Map Projections}} | |||
{{Cartography-stub}} | |||
Revision as of 00:11, 29 January 2014
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, which is its standard parallel, but distortion increases rapidly towards the poles. Like any cylindrical projection, it stretches parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points.
History
The projection is attributed to the Alsatian mathematician Johann Heinrich Lambert in 1772.[1]
Formulae
where is the latitude, is the longitude and is the central meridian.[2]
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See also
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References
- ↑ Template:Cite web
- ↑ Map Projections – A Working Manual, USGS Professional Paper 1395, John P. Snyder, 1987, pp. 76–85