Pregled bibliografske jedinice broj: 225151
The Butterfly Theorems in the Hyperbolic Plane
The Butterfly Theorems in the Hyperbolic Plane // Annales Universitatis Scientiarum Budapestinensis, 48 (2005), 109-117 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 225151 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Butterfly Theorems in the Hyperbolic Plane
Autori
Sliepčević, Ana ; Jurkin, Ema
Izvornik
Annales Universitatis Scientiarum Budapestinensis (0524-9007) 48
(2005);
109-117
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Butterfly Theorem; hyperbolic plane
Sažetak
There are many varieties of Butterfly Theorem in the Euclidean plane. Here some analogous theorems in the hyperbolic plane are proved. It is shown that proofs do not depend on the class of circle into which complete quadrangle is inscribed. The only difference is between the case when qadrangle is inscribed into absolute conic and the case when it is inscribed into one of three classes of circles. The construction of the points with butterfly property is given. It is proved that with any quadrangle an infinite number of butterfly points is associated which are located on a second order curve.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0082201
Ustanove:
Građevinski fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
