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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


Puni tekst: engleski pdf 598 Kb

str. 171-187

preuzimanja: 370

citiraj


Sažetak

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.

Ključne riječi

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

Hrčak ID:

283954

URI

https://hrcak.srce.hr/283954

Datum izdavanja:

27.9.2022.

Posjeta: 805 *