翻訳と辞書 Words near each other ・ Cassinga ・ Cassinga Day ・ Cassinga mine ・ Cassington ・ Cassington Halt railway station ・ Cassini ・ Cassini (lunar crater) ・ Cassini (Martian crater) ・ Cassini (surname) ・ Cassini and Catalan identities ・ Cassini Glacier ・ Cassini Grid ・ Cassini map ・ Cassini oval ・ Cassini periodical cicadas ・ Cassini projection ・ Cassini Regio ・ Cassini's Division ・ Cassini's laws ・ Cassinia ・ Cassinia (journal) ・ Cassinia aculeata ・ Cassinia adunca ・ Cassinia arcuata ・ Cassinia aureonitens ・ Cassinia compacta ・ Cassinia copensis ・ Cassinia cunninghamii ・ Cassinia decipiens ・ Cassinia denticulata Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cassini projection ： ウィキペディア英語版 Cassini projection The Cassini projection is a map projection described by César-François Cassini de Thury in 1745.〔''Flattening the Earth: Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 74–76, ISBN 0-226-76747-7.〕 It is the transverse aspect of the equirectangular projection, in that the globe is first rotated so the central meridian becomes the "equator", and then the normal equirectangular projection is applied. Considering the earth as a sphere, the projection is composed of these operations: :$x\; =\; \backslash arcsin(\backslash cos(\backslash phi)\backslash sin(\backslash lambda))\backslash ,$ :$y\; =\; \backslash arctan\backslash left(\backslash frac\backslash right)$ where $\backslash lambda$ is the longitude from the central meridian and $\backslash phi$ is the latitude. When programming these equations, the inverse tangent function used is actually the atan2 function, with the first argument $\backslash sin(\backslash phi)$ and the second $\backslash cos(\backslash phi)\backslash cos(\backslash lambda)$. In practice, the projection has always been applied to models of the earth as an ellipsoid, which greatly complicates the mathematical development but is suitable for surveying. Nevertheless the use of the Cassini projection has largely been superseded by the Transverse Mercator projection, at least with central mapping agencies. ==Distortions== Areas along the central meridian, and at right angles to it, are not distorted. Elsewhere, the distortion is largely in a north-south direction, and varies by the square of the distance from the central meridian. As such, the greater the longitudinal extent of the area, the worse the distortion becomes. Due to this, the Cassini projection works best on long, narrow areas, and worst on wide areas. 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「Cassini 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.