Rad HAZU, Matematičke znanosti, Vol. 26 (2022), 155-169.

LOCI OF CENTERS IN PENCILS OF TRIANGLES IN THE ISOTROPIC PLANE

Ema Jurkin

Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: ema.jurkin@rgn.unizg.hr

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.

2020 Mathematics Subject Classification.   51N25.

Key words and phrases.   Isotropic plane, pencil of triangles, centroid, Gergonne point, symmedian point, Brocard points, Feuerbach point.

Full text (PDF) (free access)

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

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