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A New Generalization of the Butterfly Theorem (CROSBI ID 95674)

Prilog u časopisu | izvorni znanstveni rad

Sliepčević, Ana A New Generalization of the Butterfly Theorem // Journal for geometry and graphics, 6 (2002), 1; 61-68-x

Podaci o odgovornosti

Sliepčević, Ana

engleski

A New Generalization of the Butterfly Theorem

The butterfly theorem and some of its generalizations deal with a specifics point related to a quadrangle inscribed into a circle. By use of the Sturm-Desargues involution theorem it is proved that with any such quadrangle an infinite number of butterfly points is associated which are located on an equilateral hyperbola. Finally an infinite number of quadrangles sharing the same butterfly curve is presented.

Butterfly theorem; Desargues' involution theorem; pencil ofconics

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Podaci o izdanju

6 (1)

2002.

61-68-x

objavljeno

1433-8157

Povezanost rada

Matematika