The Butterfly Theorems in the Hyperbolic plane (CROSBI ID 507971)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Jurkin, Ema
engleski
The Butterfly Theorems in the Hyperbolic plane
There are many varieties of Butterfly Theorem in the Euclidean plane. Here some analogous theorems in the hyperbolic plane are proved. It is shown that proofs do not depend on the class of circle into which complete quadrangle is inscribed. The only difference is between the case when qadrangle is inscribed into absolute conic and the case when it is inscribed into one of three classes of circles. The construction of the points with butterfly property is given. It is proved that with any quadrangle an infinite number of butterfly points is associated which are located on a second order curve.
Butterfly Theorem; Hyperbolic plane
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
2005.
objavljeno
Podaci o matičnoj publikaciji
Abstracts
Budimpešta: Szent Istvan University Ybl Miklos Faculty of Building Sciences
Podaci o skupu
Konstruktive Geometrie
predavanje
05.09.2005-09.09.2005
Balatonföldvár, Mađarska