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Some Generalizations of Quadrics

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Abstract

In this chapter, we try to present ideas for generalizing quadrics. Quadrics in three-dimensional space carry a three-parameter family of conics: Each conic on a quadric is a planar intersection of the quadric, and thus, there are as many conics on a quadric as there are planes in a three-dimensional space.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Department of GeometryUniversity of Applied Arts ViennaViennaAustria
  2. 2.Institute of Discrete Mathematics and GeometryVienna University of TechnologyViennaAustria

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