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单词 rectangular hyperbola
释义

rectangular hyperbola

A hyperbola whose asymptotes are perpendicular. With the origin at the centre and the coordinate x-axis along the transverse axis, it has equation x2 − y2 = a2. Instead, the coordinate axes can be taken along the asymptotes in such a way that the two branches of the hyperbola are in the first and third quadrants. The rectangular hyperbola then has equation of the form xy = c2. For example, y=1/x is a rectangular hyperbola. For xy = c2, it is customary to take c>0 and to use, as parametric equations, x = ct, y = c/t (t ≠ 0).

A rectangular hyperbola

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更新时间:2024/6/3 4:27:35