翻訳と辞書 Words near each other ・ Rotem Gafinovitz ・ Rotem Kowner ・ Rotem KW1 Scorpion ・ Rotation around a fixed axis ・ Rotation Curation ・ Rotation flap ・ Rotation formalisms in three dimensions ・ Rotation group (disambiguation) ・ Rotation group SO(3) ・ Rotation map ・ Rotation matrix ・ Rotation method ・ Rotation Model of Learning ・ Rotation number ・ Rotation of ammunition ・ Rotation of axes ・ Rotation operator ・ Rotation operator (quantum mechanics) ・ Rotation period ・ Rotation system ・ Rotational angiography ・ Rotational bell painting ・ Rotational Brownian motion ・ Rotational Brownian motion (astronomy) ・ Rotational correlation time ・ Rotational cryptanalysis ・ Rotational diffusion ・ Rotational energy ・ Rotational invariance ・ Rotational modulation collimator 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 Rotation of axes ： ウィキペディア英語版 Rotation of axes In mathematics, a rotation of axes in two dimensions is a mapping from an ''xy''-Cartesian coordinate system to an ''x'y'''-Cartesian coordinate system in which the origin is kept fixed and the ''x'''- and ''y'''-axes are obtained by rotating the ''x''- and ''y''-axes counterclockwise through an angle $\backslash theta$. A point ''P'' has coordinates (''x'', ''y'') with respect to the original system and coordinates (''x''', ''y''') with respect to the new system. In the new coordinate system, the point ''P'' will appear to have been rotated in the opposite direction, that is, clockwise through the angle $\backslash theta$. A rotation of axes in more than two dimensions is defined similarly. A rotation of axes is a linear map and a rigid transformation. == Motivation == When we want to study the equations of curves and when we wish to use the methods of analytic geometry, coordinate systems become essential. When we use the method of coordinate geometry we place the axes at a position "convenient" with respect to the curve under consideration. For example, when we study the equations of ellipses and hyperbolas, the foci are usually located on one of the axes and are situated symmetrically with respect to the origin. But now suppose that we have a problem in which the curve (hyperbola, parabola, ellipse, etc.) is ''not'' situated so conveniently with respect to the axes. We would then like to change the coordinate system in order to have the curve at a convenient and familiar location and orientation. The process of making this change is called a transformation of coordinates. The solutions to many problems can be simplified by rotating the coordinate axes to obtain new axes through the same origin. 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「Rotation of axes」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.