Pregled bibliografske jedinice broj: 88314
A New Generalization of the Butterfly Theorem
A New Generalization of the Butterfly Theorem // Journal for Geometry and Graphics, 6 (2002), 1; 61-68 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
A New Generalization of the Butterfly Theorem
Autori
Sliepčević, Ana
Izvornik
Journal for Geometry and Graphics (1433-8157) 6
(2002), 1;
61-68
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
teorem o leptiru; Desarguesov teorem o involuciji; pramen konika
(Butterfly theorem; Desargues' involution theorem; pencil ofconics)
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt fuer Mathematik
- Mat Sci Net
