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In mathematics, a translation of axes in two dimensions is a mapping from an ''xy''-Cartesian coordinate system to an ''x'y : : or equivalently : In the new coordinate system, the point ''P'' will appear to have been translated in the opposite direction. For example, if the ''xy''-system is translated a distance ''h'' to the right and a distance ''k'' upward, then ''P'' will appear to have been translated a distance ''h'' to the left and a distance ''k'' downward in the ''x'y == 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 that is "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 translating the coordinate axes to obtain new axes parallel to the original ones. 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「Translation of axes」の詳細全文を読む スポンサード リンク
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