Pregled bibliografske jedinice broj: 384851
Butterfly Points' Curve in Isotropic Plane
Butterfly Points' Curve in Isotropic Plane // Annales Universitatis Scientiarum Budapestinensis, 51 (2008), 3-9 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 384851 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Butterfly Points' Curve in Isotropic Plane
Autori
Jurkin, Ema ; Sliepčević, Ana
Izvornik
Annales Universitatis Scientiarum Budapestinensis (0524-9007) 51
(2008);
3-9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
isotropic plane; Butterfly theorem; Butterfly Points' Curve
Sažetak
There are many varieties of the Butterfly theorem in the Euclidean plane, [2], [5], [7], but also in the hyperbolic, [6], and the isotropic plane, [1]. In the paper [1] the Butterfly theorem is proved by using the analytical method on the affine model of the isotropic plane. In this paper, it is proved by using the synthetic method on the projective model. It was shown earlier that with any quadrangle inscribed into a circle, an infnite number of butterfly points is associated which are located on a conic, [5], [6]. Here we prove that the analogues of those theorems also hold in the isotropic plane.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
