engleski

On Feurbach's Theorem and a Pencil of Circles in I_2

A trinagle in I_2 is called allowable if no one of its sides is isotropic. Each allowable triangle in an isotropic plane can be set in a standard position, in which it is possible to prove analitycally in a simplified way the geometric properties by means of the algebraic theory. Using that very method for adapting the well-known the well-known Euler and Feurbach theorems for the isotropic plane, the connection among the circumcircle, Euler circle, tangential circumcircle, and the polar circle of a given allowable triangle will be shown.

isotropic plane; circle; standard triangle

nije evidentirano