翻訳と辞書 Words near each other ・ Hyperbolic point ・ Hyperbolic quaternion ・ Hyperbolic secant distribution ・ Hyperbolic sector ・ Hyperbolic set ・ Hyperbolic space ・ Hyperbolic spiral ・ Hyperbolic structure ・ Hyperbolic tetrahedral-octahedral honeycomb ・ Hyperbolic trajectory ・ Hyperbolic tree ・ Hyperbolic triangle ・ Hyperbolic trigonometry ・ Hyperbolic volume ・ Hyperbolization theorem ・ Hyperboloid ・ Hyperboloid model ・ Hyperboloid structure ・ Hyperbolus ・ Hyperborea ・ Hyperborea (album) ・ Hyperborea (band) ・ Hyperborea (collection) ・ Hyperborea (disambiguation) ・ Hyperborea (moth) ・ Hyperborean cycle ・ Hyperbow ・ Hyperbowl Plus! Edition ・ Hyperbubble ・ Hypercacher 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 Hyperboloid ： ウィキペディア英語版 Hyperboloid In mathematics, a hyperboloid is a quadric – a type of surface in three dimensions – described by the equation :$+\; -\; =\; 1$   (hyperboloid of one sheet), or :$+\; -\; =\; -1$   (hyperboloid of two sheets). Both of these surfaces asymptote to the same conical surface as x or y become large: :$+\; -\; =\; 0$ These are also called elliptical hyperboloids. If and only if ''a'' = ''b'', it is a hyperboloid of revolution, and is also called a circular hyperboloid. == Cartesian coordinates == Cartesian coordinates for the hyperboloids can be defined, similar to spherical coordinates, keeping the azimuth angle , but changing inclination ''v'' into hyperbolic trigonometric functions: One-surface hyperboloid: :$x=a\; \backslash cosh\; v\; \backslash cos\backslash theta$ :$y=b\; \backslash cosh\; v\; \backslash sin\backslash theta$ :$z=c\; \backslash sinh\; v$ Two-surface hyperboloid: :$x=a\; \backslash sinh\; v\; \backslash cos\backslash theta$ :$y=b\; \backslash sinh\; v\; \backslash sin\backslash theta$ :$z=\backslash pm\; c\; \backslash cosh\; v$ 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「Hyperboloid」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.