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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cesàro equation ： ウィキペディア英語版 Cesàro equation In geometry, the Cesàro equation of a plane curve is an equation relating the curvature ($\backslash kappa$) at a point of the curve to the arc length ($s$) from the start of the curve to the given point. It may also be given as an equation relating the radius of curvature ($R$) to arc length. (These are equivalent because $R\; =\; 1/\backslash kappa$.) Two congruent curves will have the same Cesàro equation. Cesàro equations are named after Ernesto Cesàro. ==Examples== Some curves have a particularly simple representation by a Cesàro equation. Some examples are: * Line: $\backslash kappa\; =\; 0$. * Circle: $\backslash kappa\; =\; 1/\backslash alpha$, where $\backslash alpha$ is the radius. * Logarithmic spiral: $\backslash kappa=C/s$, where $C$ is a constant. * Circle involute: $\backslash kappa=C/\backslash sqrt\; s$, where $C$ is a constant. * Cornu spiral: $\backslash kappa=Cs$, where $C$ is a constant. * Catenary: $\backslash kappa=\backslash frac$. 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「Cesàro equation」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.