• Ilja N. Bronshtein
  • Konstantin A. Semendyayev
  • Gerhard Musiol
  • Heiner Muehlig


Points and straight lines are not defined in today’s mathematics. We determine the relations between them only by axioms. We can imagine a line as a trace of a point moving in a plane along the shortest route between two different points without changing its direction.


Intersection Point Analytical Geometry General Quadrangle Spherical Distance Hyperbolic Paraboloid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Ilja N. Bronshtein
  • Konstantin A. Semendyayev
  • Gerhard Musiol
  • Heiner Muehlig

There are no affiliations available

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