翻訳と辞書 Words near each other ・ Limax dacampi ・ Limax doriae ・ Limax ecarinatus ・ Limax flavus ・ Limax maximus ・ LiMAx test ・ Limay ・ Limay Mahuida ・ Limay Mahuida Department ・ Limay River ・ Limay, Bataan ・ Limay, Yvelines ・ Limaye ・ Limaysaurus ・ Limaçon ・ Limaçon trisectrix ・ Limb ・ Limb (album) ・ Limb (anatomy) ・ Limb body wall complex ・ Limb Brook ・ Limb bud ・ Limb darkening ・ Limb development ・ Limb girdle syndrome ・ Limb independence ・ Limb infarction ・ Limb lengthening methods ・ Limb McKenry ・ Limb Music 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 Limaçon trisectrix ： ウィキペディア英語版 Limaçon trisectrix In geometry, a limaçon trisectrix (called simply a trisectrix by some authors) is a member of the Limaçon family of curves which has the trisectrix, or angle trisection, property. It can be defined as locus of the point of intersection of two lines, each rotating at a uniform rate about separate points, so that the ratio of the rates of rotation is 2:3 and the lines initially coincide with the line between the two points. Thus, it is an example of a sectrix of Maclaurin. ==Equations== If the first line is rotating about the origin, forming angle θ with the ''x''-axis, and the second line is rotating about the point (''a'', 0) with angle 3θ/2, then the angle between them is θ/2 and the law of sines can be used to determine the distance from the point of intersection to the origin as :$r=a\; \backslash frac\; \backslash theta\}\backslash theta\}\; =\; a(3\backslash cos^2\; \backslash tfrac\backslash theta\; -\; \backslash sin^2\; \backslash tfrac\backslash theta)\; =\; a(1+2\backslash cos\backslash theta)$. This is the equation with polar coordinates, showing that the curve is a Limaçon. The curve crosses itself at the origin, the rightmost point of the outer loop is at (3''a'', 0) and the tip of the inner loop is at (''a'', 0). If the curve is shifted so that the origin is at the tip of the inner loop then the equation becomes :$r\; =\; 2a\backslash cos$ so it is also in the rose family of curves. 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「Limaçon trisectrix」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.