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Bonne projection
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Bonne projection : ウィキペディア英語版
Bonne projection

A Bonne projection is a pseudoconical equal-area map projection, sometimes called a dépôt de la guerre or a Sylvanus projection. Although named after Rigobert Bonne (1727–1795), the projection was in use prior to his birth, in 1511 by Sylvano, Honter in 1561, De l'Isle before 1700 and Coronelli in 1696. Both Sylvano and Honter’s usages were approximate, however, and it is not clear they intended to be the same projection.〔''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 60–62, ISBN 0-226-76747-7〕
The projection is:
:x = \rho \sin E\,
:y = \cot \varphi_1 - \rho \cos E\,
where
:\rho = \cot \varphi_1 + \varphi_1 - \varphi\,
:E = \frac
and φ is the latitude, λ is the longitude, λ0 is the longitude of the central meridian, and φ1 is the standard parallel of the projection.〔(''Map Projections - A Working Manual'' ), USGS Professional Paper 1395, John P. Snyder, 1987, pp. 138–140〕
Parallels of latitude are concentric circular arcs, and the scale is true along these arcs. On the central meridian and the standard latitude shapes are not distorted.
The inverse projection is given by:
:\varphi = \cot \varphi_1 + \varphi_1 - \rho\,
:\lambda = \lambda_0 + \rho \ / \cos \varphi
where
: \rho = ± (x^2 + ( \cot \varphi_1 - y)^2 )^
taking the sign of \varphi_1.
Special cases of the Bonne projection include the sinusoidal projection, when φ1 is zero, and the Werner projection, when φ1 is π/2. The Bonne projection can be seen as an intermediate projection in the unwinding of a Werner projection into a Sinusoidal projection; an alternative intermediate would be a Bottomley projection〔(Between the Sinusoidal projection and the Werner: an alternative to the Bonne ), Henry Bottomley 2002〕
==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「Bonne projection」の詳細全文を読む



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