Original scientific paper

https://doi.org/10.31896/k.21.5

The Loci of Vertices of Nedian Triangles

Iva Kodrnja orcid.org/0000-0003-3976-4166 ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Helena Koncul orcid.org/0000-0002-6890-7835 ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

Abstract

In this article we observe nedians and nedian triangles of ratio η for a given triangle. The locus of vertices of the nedian triangles for η \in R is found and its correlation with isotomic conjugates of the given triangle is shown. Furthermore, the curve on which lie vertices of a nedian triangle for fixed η, when we iterate nedian triangles, is found.

Keywords

triangle; cevian; nedian; nedian triangle; isotomic conjugate

Hrčak ID:

192206

URI

https://hrcak.srce.hr/192206

Publication date:

9.1.2018.

Article data in other languages: croatian

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