Other geometries

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 10 in The Universe of Conics, 2016, pp 435-479 from Springer

Abstract: Abstract At the ‘spherical Wankel engine’ the common path t of the three vertices of the rotor is a trochoid. It can be generated when the circle m which is attached to the rotor, is rolling along the fixed circle o. The angular velocities of the rotor’s rotations about M and additionally about the fixed center O build the constant ratio −3 ∶ 2.

Keywords: Great Circle; Hyperbolic Plane; Minkowski Plane; Quadratic Cone; Spherical Conic (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-45450-3_10

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DOI: 10.1007/978-3-662-45450-3_10

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