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Journal of Geometry

, Volume 66, Issue 1–2, pp 55–71 | Cite as

On the cubic of Napoleon

  • Zvonko Cerin
Article
  • 54 Downloads

Abstract

This paper explores properties of an interesting cubic from the Euler pencil of analagmatic cubics associated to a triangle. Our arguments are algebraic and use a combination of trilinear coordinates and complex numbers. We study its basic properties with emphasis on ways how to recognise this curve in various geometric configurations. Since this cubic is closely tied with the so called Napoleon configuration of a scalene triangle, we named it the Napoleon cubic.

Keywords

Basic Property Complex Number Geometric Configuration Scalene Triangle 
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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Copyright information

© Birkhäuser Verlag 1999

Authors and Affiliations

  • Zvonko Cerin
    • 1
  1. 1.ZagrebCroatia

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