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