Given a triangle , construct the contact triangle . Then the Nobbs points are the intersections of the corresponding sides of triangles and , i.e., the first Nobbs point is the intersection of and , and similarly for and . The Nobbs points are collinear and fall along the Gergonne line. They have trilinear coordinates , , and .
Given the tangent circles of a reference triangle, the pairwise external centers of similitude are the Nobbs points.