Pregled bibliografske jedinice broj: 150606
Better butterfly theorem in the isotropic plane
Better butterfly theorem in the isotropic plane // Mathematical Communications, 11 (2006), 1; 33-38 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 150606 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Better butterfly theorem in the isotropic plane
Autori
Beban-Brkić, Jelka
Izvornik
Mathematical Communications (1331-0623) 11
(2006), 1;
33-38
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
isotropic plane; butterfly theorem; Klamkin's generalisation; better butterfly theorem
Sažetak
The Butterfly theorem deals with a specific point related to a quadrangle inscribed into a circle. Many solutions to the well-known theorem have been given and various generalisations have lately been discussed. I was first puzzled with the adaptation of the theorem for the Isotropic plane. After giving a few proofs by aid of Isotropic geometry, the generalisations of the theorem followed as a sequel. The Klamkin's generalisation, as well as the "Better Butterfly" Theorem, in I_2, has been proved.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
