“Catalan's Surface”的概念、定义、习题解题方法及翻译-数学辞典

单词

Catalan's Surface

释义

Catalan's Surface

A Minimal Surface given by the parametric equations

			(1)
			(2)
			(3)

(Gray 1993), or

			(4)
			(5)
			(6)

where

(7)

(do Carmo 1986).

References

Catalan, E. ``Mémoire sur les surfaces dont les rayons de courbures en chaque point, sont égaux et les signes contraires.'' C. R. Acad. Sci. Paris 41, 1019-1023, 1855.

do Carmo, M. P. ``Catalan's Surface'' §3.5D in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, pp. 45-46, 1986.

Fischer, G. (Ed.). Plates 94-95 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, pp. 90-91, 1986.

Gray, A. Modern Differential Geometry of Curves and Surfaces.Boca Raton, FL: CRC Press, pp. 448-449, 1993.

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