翻訳と辞書 Words near each other ・ Dupee Estate-Mary Baker Eddy Home ・ Dupee Shaw ・ Dupeljevo ・ Dupeljne ・ Duper ・ Duper Sessions ・ Duperrea ・ Duperrey ・ Duperron ・ Duperré Bay ・ Dupetit Thouars ・ DuPhos ・ Dupilumab ・ Dupin ・ Dupin cyclide ・ Dupin indicatrix ・ Duping ・ Duping (gaming) ・ Duping (town) ・ Dupioni ・ Dupiq ・ Dupjačani ・ Dupla Identidade ・ Duplain ・ Duplain Township, Michigan ・ Duplais Balance ・ Duplaix ・ Dupland ・ Duplantin, Chardonnières, Haiti ・ Duplantis 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 Dupin indicatrix ： ウィキペディア英語版 Dupin indicatrix In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. Draw a plane parallel to the tangent plane and a small distance away from it. Consider the intersection of the surface with this plane. The shape of the intersection is related to the Gaussian curvature. The Dupin indicatrix is the result of the limiting process as the plane approaches the tangent plane. The indicatrix was invented by Charles Dupin. For elliptical points where the Gaussian curvature is positive the intersection will either be empty or form a closed curve. In the limit this curve will form an ellipse aligned with the principal directions. For hyperbolic points, where the Gaussian curvature is negative, the intersection will form a hyperbola. Two different hyperbola will be formed on either side of the tangent plane. These hyperbola share the same axis and asymptotes. The directions of the asymptotes are the same as the asymptotic directions. ==See also== * Euler's theorem (differential geometry) 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「Dupin indicatrix」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.