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EVOLUTES OF CONICS IN THE PSEUDO-EUCLIDEAN PLANE

izvorni znanstveni rad

izvorni znanstveni rad

EVOLUTES OF CONICS IN THE PSEUDO-EUCLIDEAN PLANE

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2023
Časopis Mathematica Pannonica
Volumen 2023
Svesčić 29
Stranice str. 77-86
DOI https://doi.org/10.1556/314.2023.00006
ISSN 0865-2090
Status objavljeno

Sažetak

The evolute of a conic in the pseudo-Euclidean plane is the locus of centers of all its osculating circles. It’s a curve of order
six and class four in general case. In this paper we discuss and compute the order and class of evolutes of different types of
conics. We will highlight those cases that have no analogy in the Euclidean plane.

Ključne riječi

Pseudo-Euclidean plane, conic, osculating circle, evolute