Naslov
Conics and Osculating Circles in Hyperbolic Plane

Autori
Halas, Helena

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstracts, 2nd Croatian Conference on Geometry and Graphics / Došlić, T. ; Šimić, M. - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2010, 18-18

Skup
2nd Croatian Conference on Geometry and Graphics

Mjesto i datum
Šibenik, Hrvatska, 05.09.2010. - 09.09.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
Cayley-Klein plane; Hyperbolic plane; perspective collineation; elation; osculating circle; curvature

Sažetak
The Cayley-Klein model is suitable for representing hyperbolic plane for creating geometric constructions, because the projective-geometric point of view in this model for Euclidean and hyperbolic plane are the same. Thus we show the classification of conics in Cayley-Klein model of hyperbolic plane, which can be constructed with perspective collineation as a collineary related image to the absolute conic. It is shown how to "translate" an Euclidean construction of an osculating circle in an arbitrary point of a conic which is given by a general data into Hyperbolic plane

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA