翻訳と辞書 Words near each other ・ Angus Cobblestone Farmhouse and Barn Complex ・ Angus College ・ Angus Cooper ・ Angus Cottrell ・ Angus Council election, 2007 ・ Angular aperture ・ Angular artery ・ Angular bone ・ Angular bundle ・ Angular cheilitis ・ Angular defect ・ Angular diameter ・ Angular diameter distance ・ Angular displacement ・ Angular distance ・ Angular eccentricity ・ Angular frequency ・ Angular gyrus ・ Angular hocicudo ・ Angular house ・ Angular incisure ・ Angular mil ・ Angular misalignment loss ・ Angular momentum ・ Angular momentum coupling ・ Angular momentum diagrams (quantum mechanics) ・ Angular momentum of light ・ Angular momentum operator ・ Angular momentum problem ・ Angular pebblesnail 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 Angular eccentricity ： ウィキペディア英語版 Angular eccentricity The angular eccentricity is one of many parameters which arise in the study of the ellipse or ellipsoid. It is denoted here by α (alpha). It may be defined in terms of the eccentricity, ''e'', or the aspect ratio, ''b/a'' (the ratio of the semi-minor axis and the semi-major axis): :$\backslash alpha=\backslash sin^e=\backslash cos^\backslash left(\backslash frac\backslash right).$ \,\! Angular eccentricity is not currently used in English language publications on mathematics, geodesy or map projections but it does appear in older literature. Any non-dimensional parameter of the ellipse may be expressed in terms of the angular eccentricity. Such expressions are listed in the following table after the conventional definitions.〔Rapp, Richard H. (1991). ''Geometric Geodesy, Part I'', Dept. of Geodetic Science and Surveying, Ohio State Univ., Columbus, Ohio.()〕 in terms of the semi-axes. The notation for these parameters varies. Here we follow Rapp〔 :: | style="padding-left: 1.5em"| $\backslash sin\backslash alpha$ |- | second eccentricity | style="padding-left: 0.5em"| $e\text{'}$  | style="padding-left: 1.5em"| $\backslash frac$   | style="padding-left: 1.5em"|$\backslash tan\backslash alpha$  |- | third eccentricity | style="padding-left: 0.5em"| $e\text{'}\text{'}$  | style="padding-left: 1.5em"| $\backslash sqrt\}$   | style="padding-left: 1.5em"|$\backslash frac$ | style="padding-left: 1.5em"|$1-\backslash cos\backslash alpha$ |$=2\backslash sin^2\backslash left(\backslash frac\backslash right)$ |- | style="padding-left: 0.5em"|second flattening | style="padding-left: 0.5em"|$f\text{'}$ | style="padding-left: 1.5em"|$\backslash frac$ | style="padding-left: 1.5em"|$\backslash sec\backslash alpha-1$ | $=\backslash frac)\})\}$   |- | style="padding-left: 0.5em"| third flattening | style="padding-left: 0.5em"|$n$ | style="padding-left: 1.5em"|$\backslash frac$ | style="padding-left: 1.5em"|$\backslash frac$ |$=\; \backslash tan^2\backslash left(\backslash frac\backslash right)$ |} The alternative expressions for the flattenings would guard against large cancellations in numerical work. ==References== 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「Angular eccentricity」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.