Let A', B', C' be the cevian traces of the incenter I. Let Ab, Ac be the orthogonal projections of A' on the bisectors BB', CC'. Let ra be the radical axis between the ninecircles of AbBC, AcBC. The lines ra, rb, rc concur at the incenter I. (only the construction of ra is shown). The parallels from the vertices to ra, rb, rc concur at the Nagel point Ng.