Circular Quartics in Isptropic Plane Generatied by Projectively Linked Pencils of Conics (CROSBI ID 553721)
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Podaci o odgovornosti
Jurkin, Ema
engleski
Circular Quartics in Isptropic Plane Generatied by Projectively Linked Pencils of Conics
A curve in an isotropic plane is circular if it passes through the absolute point. Its degree of circularity is defined as the number of its intersection points with the absolute line falling into the absolute point. A curve of order four can be obtained as the locus of the intersections of corresponding conics of projectively linked pencils of conics. The conditions that the pencils and the projectivity have to fulfill in order to obtained a circular quartic of a certain type are determined analytically. The quartics of all degrees of circularity and all types are constructed using these results.
circular quatric; projectivity; pencil of conics; isotropic plane
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Podaci o prilogu
44-44.
2009.
objavljeno
Podaci o matičnoj publikaciji
Conference on Geometry Theory and Aplications Book of Abstracts
Bastl, B., Lavička, M.
Plzeň:
978-80-86843-27-8
Podaci o skupu
Conference on Geometry: Theory and Aplications
predavanje
29.06.2009-02.07.2009
Plzeň, Češka Republika