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Miller cylindrical projection : ウィキペディア英語版
Miller cylindrical projection

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.〔''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.〕 Hence:
:x = \lambda
:y = \frac\ln\left(+ \frac\right)\right ) = \frac\sinh^\left(\tan\frac\right)
or inversely,
:\lambda = x
:\varphi = \frac\tan^\left(e^\frac\right) - \frac = \frac\tan^\left(\sinh\frac\right)
where ''λ'' is the longitude from the central meridian of the projection, and ''\varphi\,'' is the latitude.〔(【引用サイトリンク】publisher=Wolfram MathWorld )〕 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==

* List of map projections

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Miller cylindrical projection」の詳細全文を読む



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