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A New Generalization of the Butterfly Theorem (CROSBI ID 95674)
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Sliepčević, Ana
A New Generalization of the Butterfly Theorem // Journal for geometry and graphics, 6 (2002), 1; 61-68-x
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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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