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Classification of perspective collineations and application to a conic

stručni rad

stručni rad

Classification of perspective collineations and application to a conic

Vrsta prilog u časopisu
Tip stručni rad
Godina 2011
Časopis KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku
Nadređena publikacija KoG : znanstveno-stručni časopis Hrvatskog društva za geometriju i grafiku
Volumen 15
Svesčić 15
Stranice str. 63-66
ISSN 1331-1611
EISSN 1846-4068
Status objavljeno

Sažetak

All perspective collineations in a real projective plane are classified according to a characteristic constant. In this paper it will be shown that it is possible to construct certain types of conic pencils from a given conic by using the appropriate perspective collineation. On the affine models of an isotropic and pseudo - Euclidean plane the osculating circle of a conic is constructed by using perspective collineations.

Ključne riječi

perspective collineation; homology; elation; characteristic constant; conic