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| [[File:Bottomley projection SW.JPG|450px|thumb|Bottomley projection of the world with standard parallel at 30°N.]]
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| The Bottomley map projection is an [[map projection#Equal-area|equal area map projection]]
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| defined as:
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| :<math>x = \frac{\rho \sin E }{ \sin \phi_1} \,</math>
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| :<math>y = \tfrac{\pi}{2} - \rho \cos E \,</math>
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| where
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| :<math>\rho = \tfrac{\pi}{2} - \phi\,</math>
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| :<math>E = \frac {\lambda \sin \phi_1 \sin \rho} {\rho}</math>
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| and φ is the latitude, λ is the longitude from the central meridian, and φ<sub>1</sub> is the given parallel of the projection which determines its shape, all in radians.
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| Parallels (i.e. lines of latitude) are concentric [[ellipse|elliptical]] arcs of constant [[eccentricity (mathematics)|eccentricity]], centred on the [[north pole]]. On the central [[meridian (geography)|meridian]], shapes are not distorted, but elsewhere they are. Different projections can be produced by altering the eccentricity of the arcs, making it vary between the [[sinusoidal projection]] and the [[Werner projection]].
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| It was introduced by [[Henry Bottomley]] as an alternative to the [[Bonne projection]] to reduce the extent of extreme distortion at the edges and give a more satisfying overall shape.
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| ==See also== | |
| {{Portal|Atlas}}
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| * [[List of map projections]]
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| ==External links==
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| *[http://www.cybergeo.eu/index3977.html Cybergeo article]
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| {{Map Projections}}
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| [[Category:Cartographic projections]]
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| [[Category:Equal-area projections]]
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| {{Cartography-stub}}
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Latest revision as of 13:53, 5 May 2014
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