Original scientific paper
https://doi.org/10.21857/ypn4ocdlj9
Equisegmentary lines of a triangle in the isotropic plane
Ružica Kolar-Šuper
orcid.org/0000-0002-8945-2745
; Faculty of Education, University of Osijek, 31 000 Osijek, Croatia
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
Publication date:
27.9.2022.
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