Geodesic
On Feuerbach's Theorem and a Pencil of Circles in the Isotropic Plane
Journal for geometry and graphics, Tome 10 (2006) no. 2, pp. 125-132.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 51N25
Mots-clés : Isotropic plane, triangle, Feuerbach theorem, pencil of circles 
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     title = {On {Feuerbach's} {Theorem} and a {Pencil} of {Circles} in the {Isotropic} {Plane}},
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J. Beban-Brkic; R. Kolar-Super; Z. Kolar-Begovic; V. Volenec . On Feuerbach's Theorem and a Pencil of Circles in the Isotropic Plane. Journal for geometry and graphics, Tome 10 (2006) no. 2, pp. 125-132. http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a0/