en>دالبا at 15:06, 13 January 2014

2014-01-13T15:06:37Z

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[[File:Miller projection SW.jpg|thumb|450px|A Miller projection of the [[Earth]].]]
The '''Miller cylindrical projection''' is a modified [[Mercator projection]], proposed by [[Osborn Maitland Miller]] (1897–1979) in 1942. The latitude is scaled by a factor of 4/5, projected according to Mercator, and then the result is multiplied by 5/4 to retain scale along the equator.<ref>''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.</ref> Hence:

:<math>x = \lambda\,</math>

:<math>y = \frac 5 4 \ln\left[\tan\left(\frac 1 4 \pi + \frac 2 5 \varphi\right)\right]</math>

where ''λ'' is the longitude from the central meridian of the projection, and ''<math>\varphi\,</math>'' is the latitude. Meridians are thus about 0.733 the length of the equator.

In GIS applications, this projection is known as: "EPSG:54003 - World Miller Cylindrical"

==See also==
{{Portal|Atlas}}
* [[List of map projections]]

==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/Miller1_en.html An interactive Java Applet to study the metric deformations of the Miller Projection].
* [http://mathworld.wolfram.com/MillerCylindricalProjection.html Math formulae information]
* [http://spatialreference.org/ref/esri/54003 Spatial information]
* [http://www.progonos.com/furuti/MapProj/Dither/ProjCyl/projCyl.html Historical information]
{{Map Projections}}

{{cartography-stub}}

[[Category:Cartographic projections]]

Natural frequency - Revision history

en>دالبا at 15:06, 13 January 2014