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Quadrics in Euclidean 3-space

In: The Universe of Quadrics

Author

Listed:
  • Boris Odehnal

    (University of Applied Arts Vienna, Department of Geometry)

  • Hellmuth Stachel

    (Vienna University of Technology, Institute of Discrete Mathematics and Geometry)

  • Georg Glaeser

    (University of Applied Arts Vienna, Department of Geometry)

Abstract

To begin with, we present the different types of quadrics in Euclidean space 3 in an intuitive way, based on their standard equations. Contrary to conics, there is no way to define all quadrics simultaneously by a metric relation such that the different properties of quadrics are easy to achieve.

Suggested Citation

  • Boris Odehnal & Hellmuth Stachel & Georg Glaeser, 2020. "Quadrics in Euclidean 3-space," Springer Books, in: The Universe of Quadrics, chapter 0, pages 7-90, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-61053-4_2
    DOI: 10.1007/978-3-662-61053-4_2
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