Pregled bibliografske jedinice broj: 854671
Line-inversion and pedal transformation in the quasi-hyperbolic plane
Line-inversion and pedal transformation in the quasi-hyperbolic plane // Acta mathematica Hungarica, 151 (2017), 2; 462-481 doi:10.1007/s10474-016-0686-y (međunarodna recenzija, članak, znanstveni)
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Naslov
Line-inversion and pedal transformation in the quasi-hyperbolic plane
Autori
Halas, Helena
Izvornik
Acta mathematica Hungarica (0236-5294) 151
(2017), 2;
462-481
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quasi-hyperbolic plane ; class curve ; line-inversion ; pedal transformation
Sažetak
The line-inversion and pedal transformation are defined in the quasi-hyperbolic plane and certain properties of these transformations are shown with regard to analogous transformations in the Euclidean [1, 3, 10, 12, 20], hyperbolic [4, 15, 18] isotropic [17, 19] and pseudo-Euclidean plane [5, 6, 7, 14]. As it is natural to observe class curves in the quasi-hyperbolic plane, i.e. line envelopes, the construction of a tangent point on any line of the class curve obtained by the line-inversion and pedal transformation is shown.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
