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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Van der Grinten projection ： ウィキペディア英語版 Van der Grinten projection The van der Grinten projection is a compromise map projection that is neither equal-area nor conformal. It projects the entire Earth into a circle, though the polar regions are subject to extreme distortion. The projection was the first of four proposed by Alphons J. van der Grinten in 1904, and, unlike most projections, is an arbitrary geometric construction on the plane. It was made famous when the National Geographic Society adopted it as their reference map of the world from 1922 until 1988.〔''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp.258-262, ISBN 0-226-76747-7.〕 The geometric construction given by van der Grinten can be written algebraically:〔(''Map Projections - A Working Manual'' ), USGS Professional Paper 1395, John P. Snyder, 1987, pp.239-242〕 :$x\; =\; \backslash frac\; \backslash ,$ :$y\; =\; \backslash frac$ where $x\backslash ,$ takes the sign of $\backslash lambda\; -\; \backslash lambda\_0\backslash ,$, $y\backslash ,$ takes the sign of $\backslash phi\backslash ,$ and :$A\; =\; \backslash frac\; \backslash left|\backslash frac\; -\; \backslash frac\; \backslash right|$ :$G\; =\; \backslash frac$ :$P\; =\; G\backslash left(\backslash frac\; -\; 1\backslash right)$ :$\backslash theta\; =\; \backslash arcsin\; \backslash left|\backslash frac\; \backslash right|$ :$Q\; =\; A^2\; +\; G\backslash ,$ Should it occur that $\backslash phi\; =\; 0\backslash ,$, then :$x\; =\; \backslash left(\backslash lambda\; -\; \backslash lambda\_0\backslash right)\backslash ,$ :$y\; =\; 0\backslash ,$ Similarly, if $\backslash lambda\; =\; \backslash lambda\_0\backslash ,$ or $\backslash phi\; =\; \backslash pm\; \backslash pi\; /\; 2\backslash ,$, then :$x\; =\; 0\backslash ,$ :$y\; =\; \backslash pm\; \backslash pi\; \backslash tan$ In all cases, $\backslash phi\backslash ,$ is the latitude, $\backslash lambda\backslash ,$ is the longitude, and $\backslash lambda\_0\backslash ,$ is the central meridian of the projection. ==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「Van der Grinten projection」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.