Projective and Affine Quadrics

Boris Odehnal (), Hellmuth Stachel () and Georg Glaeser ()
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Boris Odehnal: University of Applied Arts Vienna, Department of Geometry
Hellmuth Stachel: Vienna University of Technology, Institute of Discrete Mathematics and Geometry
Georg Glaeser: University of Applied Arts Vienna, Department of Geometry

Chapter Chapter 4 in The Universe of Quadrics, 2020, pp 119-175 from Springer

Abstract: Abstract Dupin ring cyclide with a three-web consisting of Villarceau circles of both kinds and of isogonal trajectories of the circular curvature lines. In a conformal model of elliptic geometry, the cyclide represents a Clifford surface, where each kind of Villarceau circles is a family of Clifford parallels, while the isogonal trajectories play the role of coaxial helices.

Date: 2020
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DOI: 10.1007/978-3-662-61053-4_4

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