Projective conics

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 6 in The Universe of Conics, 2016, pp 217-258 from Springer

Abstract: Abstract Studying conics in the framework of Projective Geometry leads to a much deeper understanding of their properties. The results are independent on the choice of the model as is the case for example with PASCAL’s theorem stating that any six points on a conic define a Pascal axis. The distinction between the three affine types (ellipse, parabola, hyperbola) is no longer necessary.

Date: 2016
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DOI: 10.1007/978-3-662-45450-3_6

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