Geometric Thinking and the Geometry of Conics and Quadrics

  • Paul Zsombor-MurrayEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 809)


This is a show-and-tell of what is essential exposure to geometry embedded in three examples, the quadric on three skew lines and stationary distances between conics and quadrics. With geometry one generalizes the specific. In other math for engineers general principles are introduced, i.e., theorems, etc., in the hope that given such rigorous stimulation the student will grasp all sorts of practical application. During this journey we will meet the familiar, e.g., linear algebra, and the not-so-familiar, e.g., line geometry and Gröbner basis solution of simultaneous polynomial equations.


Algebraic and computational geometry Line geometry Stationary distance 


  1. 1.
    Zsombor-Murray, P.J.: Hyperboloid of one sheet on three given skew lines revisited. Geomet. Mech. MECH 576, (2015)
  2. 2.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.McGill UniversityMontrealCanada

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