Pregled bibliografske jedinice broj: 99131
Die projektive Erzeugung der vollstandig zirkularen Kurven 3. Ordnung in der isotropen Ebene
Die projektive Erzeugung der vollstandig zirkularen Kurven 3. Ordnung in der isotropen Ebene // Mathematica Pannonica, 11 (2000), 2; 223-237 (međunarodna recenzija, članak, znanstveni)
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Naslov
Die projektive Erzeugung der vollstandig zirkularen Kurven 3. Ordnung in der isotropen Ebene
(The Projective Mapping of Circular Cubics at the isotropic Plane)
Autori
Sliepčević, Ana ; Szirovicza, Vlasta
Izvornik
Mathematica Pannonica 11
(2000), 2;
223-237
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Geometrie; Zirkulare Kubiken; Isotrope Ebene
(Geometry; Isotropic Plane; Completely Circular Cubic)
Sažetak
Under the adequate selection of settings elements the product of projectivity between the pencil of circles and the pencil of lines is the entirely circular cubic. The type of generated cubic is determined by the type of the pencil of circles: a touching pencil generates a divergent parabola, an osculation pencil generates a cubic parabola and a hiperosculation pencil generates a tridens curve. It is given a normal form with respect to the group B3 of isotropic plane. This paper also contains a construction for each of these curves at the finit model of isotropic plane.
Izvorni jezik
Ger
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- MathSciNet
- Zentralblatt fur Mathematik
