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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 Aitoff projection ： ウィキペディア英語版 Aitoff projection The Aitoff projection is a modified azimuthal map projection proposed by David A. Aitoff in 1889. Based on the equatorial form of the azimuthal equidistant projection, Aitoff first halves longitudes, then projects according to the azimuthal equidistant, and then stretches the result horizontally into a 2:1 ellipse to compensate for having halved the longitudes. Expressed simply: :$x\; =\; 2\; \backslash mathrm\_x\backslash left(\backslash frac\backslash lambda\; 2,\; \backslash phi\backslash right)\backslash ,$ :$y\; =\; \backslash mathrm\_y\; \backslash left(\backslash frac\backslash lambda\; 2,\; \backslash phi\; \backslash right)$ where $\backslash mathrm\_x$ and $\backslash mathrm\_y$ are the x and y components of the equatorial azimuthal equidistant projection. Written out explicitly, the projection is: :$x\; =\; \backslash frac\backslash ,$ :$y\; =\; \backslash frac\backslash ,$ where :$\backslash alpha\; =\; \backslash arccos\backslash left(\backslash cos(\backslash phi)\backslash cos\backslash left(\backslash frac\backslash lambda\; 2\backslash right)\backslash right)\backslash ,$ and $\backslash mathrm(\backslash alpha)$ is the unnormalized sinc function with the discontinuity removed. In all of these formulas, $\backslash lambda$ is the longitude from the central meridian and $\backslash phi$ is the latitude. Three years later, Ernst Hermann Heinrich Hammer suggested the use of the Lambert azimuthal equal-area projection in the same manner as Aitoff, producing the Hammer projection. While Hammer was careful to cite Aitoff, some authors have mistakenly referred to the Hammer projection as the Aitoff projection.〔''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp.130-133, ISBN 0-226-76747-7.〕 ==See also== * List of map projections * Mollweide projection * Hammer projection 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「Aitoff 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.