On the unified Eistein-Weyl-Dirac theory

The most general conformal theory of the gravitation, based on the Weyl's geometry, is considered. It is shown from the analysis of the curvature tensor properties that Dirac's conformal unified theory would be supplement with the Weyl's term which is quadratic on the curvature tensor. The question that the term corresponds to the own energy-momentum tensor of the gravitational field for Einstain's or Dirac's theories is discussed