单词 | Space Curve | ||||||||||||||
释义 | Space CurveA curve which may pass through any region of 3-D space, as contrasted to a Plane Curve which must lie ina single Plane. Von Staudt (1847) classified space curves geometrically by considering the curve
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do Carmo, M.; Fischer, G.; Pinkall, U.; and Reckziegel, H. ``Singularities of Space Curves.'' §3.1 in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, pp. 24-25, 1986. Fine, H. B. ``On the Singularities of Curves of Double Curvature.'' Amer. J. Math. 8, 156-177, 1886. Fischer, G. (Ed.). Plates 57-64 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, pp. 58-59, 1986. Gray, A. ``Curves in Griffiths, P. and Harris, J. Principles of Algebraic Geometry. New York: Wiley, 1978. Saurel, P. ``On the Singularities of Tortuous Curves.'' Ann. Math. 7, 3-9, 1905. Staudt, C. von. Geometrie der Lage. Nürnberg, Germany, 1847. Wiener, C. ``Die Abhängigkeit der Rückkehrelemente der Projektion einer unebenen Curve von deren der Curve selbst.'' Z. Math. & Phys. 25, 95-97, 1880. |
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