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On Feuerbach's Theorem and a pencil of circles in I2 (CROSBI ID 173575)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Beban-Brkić, Jelka ; Volenec, Vladimir ; Kolar- Begović, Zdenka ; Kolar-Šuper, Ružica On Feuerbach's Theorem and a pencil of circles in I2 // Journal for geometry and graphics, 10 (2006), 2; 125-132

Podaci o odgovornosti

Beban-Brkić, Jelka ; Volenec, Vladimir ; Kolar- Begović, Zdenka ; Kolar-Šuper, Ružica

engleski

On Feuerbach's Theorem and a pencil of circles in I2

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.

isotropic plane ; triangle ; Feuerbach theorem ; pencil of circles

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Podaci o izdanju

10 (2)

2006.

125-132

objavljeno

1433-8157

Povezanost rada

Matematika

Poveznice