翻訳と辞書 Words near each other ・ "O" Is for Outlaw ・ "O"-Jung.Ban.Hap. ・ "Ode-to-Napoleon" hexachord ・ "Oh Yeah!" Live ・ "Our Contemporary" regional art exhibition (Leningrad, 1975) ・ "P" Is for Peril ・ "Pimpernel" Smith ・ "Polish death camp" controversy ・ "Pro knigi" ("About books") ・ "Prosopa" Greek Television Awards ・ "Pussy Cats" Starring the Walkmen ・ "Q" Is for Quarry ・ "R" Is for Ricochet ・ "R" The King (2016 film) ・ "Rags" Ragland ・ ! (album) ・ ! (disambiguation) ・ !! ・ !!! ・ !!! (album) ・ !!Destroy-Oh-Boy!! ・ !Action Pact! ・ !Arriba! La Pachanga ・ !Hero ・ !Hero (album) ・ !Kung language ・ !Oka Tokat ・ !PAUS3 ・ !T.O.O.H.! ・ !Women Art Revolution 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 channel surface ： ウィキペディア英語版 channel surface A channel or canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve, its ''directrix''. If the radii of the generating spheres are constant the canal surface is called pipe surface. Simple examples are: * right circular cylinder (pipe surface, directrix is a line, the axis of the cylinder) * torus (pipe surface, directrix is a circle), * right circular cone (canal surface, directrix is a line (the axis), radii of the spheres not constant), * surface of revolution (canal surface, directrix is a line), Canal surfaces play an essential role in descriptive geometry, because in case of an orthographic projection its contour curve can be drawn as the envelope of circles. *In technical area canal surfaces can be used for ''blending surfaces'' smoothly. == Envelope of a pencil of implicit surfaces == Given the pencil of implicit surfaces :$\backslash Phi\_c:\; f(,c)=0\; ,\; c\backslash in\; ()$. Two neighboring surfaces $\backslash Phi\_c$ and $\backslash Phi\_$ intersect in a curve that fulfills the equations :$f(,c)=0$ and $f(,c+\backslash Delta\; c)=0$. For the limit $\backslash Delta\; c\; \backslash to\; 0$ one gets $f\_c(,c)=\; \backslash lim\_\; \backslash frac,c+\backslash Delta\; c)\}=0$. The last equation is the reason for the following definition * Let be $\backslash Phi\_c:\; f(,c)=0\; ,\; c\backslash in\; ()$ a 1-parameter pencil of regular implicit $C^2$ - surfaces ($f$ is at least twice continuously differentiable). The surface defined by the two equations *:$f(,c)=0,\; \backslash quad\; f\_c(,c)=0$ is the envelope of the given pencil of surfaces.〔(''Geometry and Algorithms for COMPUTER AIDED DESIGN'' ), p. 115〕 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「channel surface」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.