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Differential Geometry

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

Chapter 3 in The Universe of Conics, 2016, pp 61-126 from Springer

Abstract: Abstract The picture shows a triaxial ellipsoid with its curvature lines. The top and front view of the curvature lines of the ellipsoid are affine images of confocal conics. The four umbilical points U 1, … ,U 4 (singularities of the curvature line parametrization) map to the common focal points in the top and front view.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-45450-3_3

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DOI: 10.1007/978-3-662-45450-3_3

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