Let ab, ac, bc, ba, ca, cb be the six tangents to the ninecircle perpendicular to the sides. Let ra be the line joining the intersection between ba, ca with the intersection between cb, bc and define analogously rb, rc. The parallels from the vertices to ra, rb, rc concur at the centroid G and the parallels from the midpoints of the sides to ra, rb, rc concur at the Spieker point Sp.