Not Easy

Suppose excircle triangle $ABC$ opposite point $A$ offending side $BC$ at point $A_1$ . Defined point $B_1$ on $CA$ and $C_1$ point on $AB$ analog, respectively using excircles opposite $B$ and $C$ . Suppose that the center point of the circle outside the triangle $A_1B_1C_1$ are in the outer circle of the triangle $ABC$ . triangle $ABC$ is a/an $\text{\_\_\_\_\_\_\_\_\_\_}$ .

Note:

Excircle triangle ABC opposite the vertex A is the circle of the offensive line segment BC, AB, after the offending beam B, offensive rays after C. Excircle AC at odds with defi ned B and C are similar.