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Better butterfly theorem in the isotropic plane (CROSBI ID 106051)

Prilog u časopisu | izvorni znanstveni rad

Beban-Brkić, Jelka Better butterfly theorem in the isotropic plane // Mathematical communications, 11 (2006), 1; 33-38

Podaci o odgovornosti

Beban-Brkić, Jelka

engleski

Better butterfly theorem in the isotropic plane

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.

isotropic plane; butterfly theorem; Klamkin's generalisation; better butterfly theorem

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Podaci o izdanju

11 (1)

2006.

33-38

objavljeno

1331-0623

Povezanost rada

Matematika