It is the circle that has the center to the incenter. To obtain ii first we will calculate the tangent points of the inscribed circumference and we will trace the Gergonne triangle which is what passes through those points. Then we will get the Gergonne point of the base triangle. By the Gergonne point we draw a parallel line to one side of the Gergonne triangle and we will obtain one of the points through which the Adams circumference passes. We will calculate the radius at that point and the center.