Mandart's inellipse is tangent to each side of the triangle that contains it and its center is the mittenpunkt, which is the point that results from the intersection of the lines that leave the vertices of the triangle formed by the centers of the circumferences exinscribed to the original triangle and that pass through each of its midpoints. The Nagel point is added in this version, which is the intersection point of the lines that go from each tangent point of the exinscribed circles to the opposite vertex of the triangle that contains the Mandart inellipse.