Pregled bibliografske jedinice broj: 503253
Butterfly Curve Theorems in pseudo-Euclidean Plane
Butterfly Curve Theorems in pseudo-Euclidean Plane // Mathematica Pannonica, 22 (2011), 1; 119-126 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 503253 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Butterfly Curve Theorems in pseudo-Euclidean Plane
Autori
Sliepčević, Ana ; Jurkin, Ema
Izvornik
Mathematica Pannonica (0865-2090) 22
(2011), 1;
119-126
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
pseudo-Euclidean plane; Butterfly theorem; butterfly points' curve
Sažetak
Up till now the validity of the Butterfly theorem has been verified in the Euclidean isotropic, and hyperbolic plane. In the present paper we prove that the Butterfly theorem also holds in the pseudo-Euclidean plane. Furthermore, it is shown that an infinite number of butterfly points, located on a conic, is associated with any quadrangle inscribed into a circle. In the Euclidean plane this conic is always a rectangular hyperbola while in the pseudo-Euclidean plane it can also be an ellipse or a special parabola.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Rad je kao predavanje prezentiran na skupu Mathematics in Architecture and Civil Engineering, Design and Education, održanom od 06.-28.05.2011., Pečuh, Mađarska ; uz međunarodnu recenziju objavljen u Knjizi sažetaka.
POVEZANOST RADA
Projekti:
082-0000000-0893 - Krivulje i plohe u euklidskom i neeuklidskim prostorima
Ustanove:
Građevinski fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
