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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 551=26, 2022.

Original scientific paper

https://doi.org/10.21857/94kl4cl6wm

Loci of centers in pencils of triangles in the isotropic plane

Ema Jurkin orcid id orcid.org/0000-0002-8658-5446 ; Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, 10 000 Zagreb, Croatia

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Abstract

In this paper we consider a triangle pencil in an isotropic plane consisting of those triangles that have two fixed vertices, while the third vertex is moving along a line. We study the curves of centroids, Gergonne points, symmedian points, Brocard points and Feuerbach points for such a pencil of triangles.

Keywords

Isotropic plane; pencil of triangles; centroid; Gergonne point; symmedian point; Brocard points; Feuerbach point

Hrčak ID:

283933

URI

https://hrcak.srce.hr/283933

Publication date:

27.9.2022.

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