Conics and Osculating Circles in Hyperbolic Plane (CROSBI ID 565977)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | domaća recenzija
Podaci o odgovornosti
Halas, Helena
engleski
Conics and Osculating Circles in Hyperbolic Plane
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
Cayley-Klein plane; Hyperbolic plane; perspective collineation; elation; osculating circle; curvature
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Podaci o prilogu
18-18.
2010.
objavljeno
Podaci o matičnoj publikaciji
Abstracts, 2nd Croatian Conference on Geometry and Graphics
Došlić, T. ; Šimić, M.
Zagreb: Hrvatsko društvo za geometriju i grafiku
Podaci o skupu
2nd Croatian Conference on Geometry and Graphics
predavanje
05.09.2010-09.09.2010
Šibenik, Hrvatska