Polarities and pencils

Georg Glaeser, Hellmuth Stachel and Boris Odehnal
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Georg Glaeser: University of Applied Arts Vienna Department of Geometry, Department of Geometry
Hellmuth Stachel: Vienna University of Technology Inst. of Disc. Mathematics and Geometry, Inst. of Disc. Mathematics and Geometry
Boris Odehnal: University of Applied Arts Vienna Department of Geometry, Department of Geometry

Chapter 7 in The Universe of Conics, 2024, pp 273-376 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.

Date: 2024
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DOI: 10.1007/978-3-662-70306-9_7

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