Pregled bibliografske jedinice broj: 523213
On Feuerbach's Theorem and a pencil of circles in I2
On Feuerbach's Theorem and a pencil of circles in I2 // Journal for geometry and graphics, 10 (2006), 2; 125-132 (međunarodna recenzija, članak, znanstveni)
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Naslov
On Feuerbach's Theorem and a pencil of circles in I2
Autori
Beban-Brkić, Jelka ; Volenec, Vladimir ; Kolar- Begović, Zdenka ; Kolar-Šuper, Ružica
Izvornik
Journal for geometry and graphics (1433-8157) 10
(2006), 2;
125-132
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
isotropic plane ; triangle ; Feuerbach theorem ; pencil of circles
Sažetak
After adapting the well-known Euler and Feuerbach theorems for the isotropic plane, the connection among the circumcircle, Euler circle, tangential circumcircle, and the polar circle of a given allowable triangle has been shown. It has been proved that all four circles belong to the same pencil of circles. There are two more interesting circles in this pencil.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Geodetski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku,
Fakultet za odgojne i obrazovne znanosti, Osijek
Profili:
Zdenka Kolar-Begović
(autor)
Vladimir Volenec
(autor)
Jelka Beban-Brkić
(autor)
Ružica Kolar-Šuper
(autor)
