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单词 Generalized Helicoid
释义

Generalized Helicoid

The Surface generated by a twisted curve when rotated about a fixed axis and, at the same time, displacedParallel to so that the velocity of displacement is always proportional to the Angular Velocity ofRotation.

See also Generalized Helix, Helicoid, Helix


References

do Carmo, M. P.; Fischer, G.; Pinkall, U.; and Reckziegel, H. ``General Helicoids.'' §3.4.3 in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, pp. 36-37, 1986.

Fischer, G. (Ed.). Plate 89 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 85, 1986.

Kreyszig, E. Differential Geometry. New York: Dover, p. 88, 1991.


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