Rad HAZU, Matematičke znanosti, Vol. 27 (2023), 175-187.

BISECTORS OF CONICS 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 introduce the concept of a bisector of two curves in an isotropic plane. We study the bisectors of conics and classify them according to their type of circularity. In general the bisector of conics is a quartic, while in the case when both conics are circular, its degree decreases.

2020 Mathematics Subject Classification.   51N25.

Key words and phrases.   Isotropic plane, conic, bisector, circular curve.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/mzvkptljl9

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