Naslov
Osculating Circles of Conics in Cayley-Klein Planes

Autori
Weiss, Gunter ; Sliepčević, Ana

Izvornik
KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku (1331-1611) 13 (2009); 7-12

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Cayley-Klein plane; elation; pencil of conics; osculating circle; curvature centre

Sažetak
In the Euclidean plane there are several well-known methods of constructing an osculating (Euclidean) circle to a conic. We show that at least one of these methods can be “translated” into a construction scheme of finding the osculating non-Euclidean circle to a given conic in a hyperbolic or elliptic plane. As an example we will deal with the Klein-model of these non-Euclidean planes, as the projective geometric point of view is common to the Euclidean as well as to the non-Euclidean cases.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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