Characterisations of Kiepert, Jarabek and Feuerbach hyperbolas

Authors

  • Zvonko Cerin

DOI:

https://doi.org/10.1285/i15900932v18n1p17

Keywords:

Orthologic triangles, Feuerbach hyerbola, Kiepert hyperbola, Jarabek hyperbola, Complex numbers

Abstract

We obtain several characterisations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a scalene triangle ABC using the family of triangles with vertices on Euler lines of triangles BCP, CAP, and ABP for a variable point P in the plane and the notion of orthologic triangles.

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Published

01-01-1998

Issue

Volume 18, Issue 1 (1998)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode