Rad HAZU, Matematičke znanosti, Vol. 26 (2022), 171-187.

EQUISEGMENTARY LINES OF A TRIANGLE IN THE ISOTROPIC PLANE

Ružica Kolar-Šuper

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.

2020 Mathematics Subject Classification.   51N25.

Key words and phrases.   Isotropic plane, equisegmentary lines, Brocard angle, dual Brocard circle.

DOI: https://doi.org/10.21857/ypn4ocdlj9

References:

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