Abstract
Canonical forms for conics are given, and tangents and ‘polarity’ are introduced. Various metric planes are derived from the projective plane by specializing an ‘absolute conic’. Pascal’s hexagrammum mysticum and the extended Pascal configuration of 60 Pascal lines are discussed. Quadric surfaces are introduced and their affine classification is discussed. Various kinds of metric space are derived from projective 3-space containing a specialized ‘absolute quadric’.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Lord, E. (2013). Quadratic Figures. In: Symmetry and Pattern in Projective Geometry. Springer, London. https://doi.org/10.1007/978-1-4471-4631-5_4
Download citation
DOI: https://doi.org/10.1007/978-1-4471-4631-5_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4630-8
Online ISBN: 978-1-4471-4631-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)