“Hyperbolic Paraboloid”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hyperbolic Paraboloid

释义

Hyperbolic Paraboloid

A Quadratic Surface given by the Cartesian equation

(1)

(left figure). This form has parametric equations

			(2)
			(3)
			(4)

(Gray 1993, p. 336). An alternative form is

(5)

(right figure; Fischer 1986), which has parametric equations

			(6)
			(7)
			(8)

See also Elliptic Paraboloid, Paraboloid, Ruled Surface

References

Fischer, G. (Ed.). Mathematical Models from the Collections of Universities and Museums. Braunschweig, Germany: Vieweg, pp. 3-4, 1986.

Fischer, G. (Ed.). Plates 7-9 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, pp. 8-10, 1986.

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 211-212 and 336, 1993.

Meyer, W. ``Spezielle algebraische Flächen.'' Encylopädie der Math. Wiss. III, 22B, 1439-1779.

Salmon, G. Analytic Geometry of Three Dimensions. New York: Chelsea, 1979.

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