Curves Related to the Gergonne Point in an Isotropic Plane

The notion of the Gergonne point a triangle in Euclidean plane is very well known, and study them isotropic setting has already appeared earlier. In this paper, we give two generalizations plane, several curves related to them. first generalization based on fact that for ABC its contact AiBiCi, there pencil circles such each circle km from lines AAm, BBm, CCm concurrent at Gm, where Am, Bm, Cm are points parallel Ai,Bi,Ci, respectively. To introduce second point, prove ABC, I three q1,q2,q3 through G1,2 Q1,Q2,Q3 with d(I,Q1)=d(I,Q2)=d(I,Q3), AQ1,BQ2 CQ3 G1,2. We achieve these results by using standardization simple analytical method.