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Original scientific paper

https://doi.org/10.21857/ypn4ocdlj9

Equisegmentary lines of a triangle in the isotropic plane

Ružica Kolar-Šuper orcid id orcid.org/0000-0002-8945-2745 ; Faculty of Education, University of Osijek, 31 000 Osijek, Croatia


Full text: english pdf 598 Kb

page 171-187

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Abstract

In this paper we introduce the concept of equisegmentary lines in the isotropic plane. We derive the equations of equisegmentary lines for a standard triangle and prove that the angle between them is equal to the Brocard angle of a standard triangle. We study the dual Brocard circle, the circle whose tangents are equisegmentary lines, as well as the inertial axis and the Steiner axis. Some interesting properties of this circle are also investigated.

Keywords

Isotropic plane; equisegmentary lines; Brocard angle; dual Brocard circle

Hrčak ID:

283954

URI

https://hrcak.srce.hr/283954

Publication date:

27.9.2022.

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