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
Cet article a éte moissonné depuis 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
Mots-clés : Isotropic plane, triangle, Feuerbach theorem, pencil of circles
@article{JGG_2006_10_2_JGG_2006_10_2_a0,
author = {J. Beban-Brkic and R. Kolar-Super and Z. Kolar-Begovic and V. Volenec },
title = {On {Feuerbach's} {Theorem} and a {Pencil} of {Circles} in the {Isotropic} {Plane}},
journal = {Journal for geometry and graphics},
pages = {125--132},
year = {2006},
volume = {10},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a0/}
}
TY - JOUR AU - J. Beban-Brkic AU - R. Kolar-Super AU - Z. Kolar-Begovic AU - V. Volenec TI - On Feuerbach's Theorem and a Pencil of Circles in the Isotropic Plane JO - Journal for geometry and graphics PY - 2006 SP - 125 EP - 132 VL - 10 IS - 2 UR - http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a0/ ID - JGG_2006_10_2_JGG_2006_10_2_a0 ER -
%0 Journal Article %A J. Beban-Brkic %A R. Kolar-Super %A Z. Kolar-Begovic %A V. Volenec %T On Feuerbach's Theorem and a Pencil of Circles in the Isotropic Plane %J Journal for geometry and graphics %D 2006 %P 125-132 %V 10 %N 2 %U http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a0/ %F JGG_2006_10_2_JGG_2006_10_2_a0
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/