Polarities and pencils

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 7 in The Universe of Conics, 2016, pp 259-350 from Springer

Abstract: Abstract A hyperbolic pencil of circles gives rise to a hyperbolic pencil of spheres by simply revolving it about its axis. Pencils of circles are special families of conics which are classified by means of a projectivity induced on the circles’ common diameter line.

Keywords: Base Point; Ideal Point; Conjugate Point; Exceptional Point; Common Tangent (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-662-45450-3_7

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