By employing an anisotropic scaling of the cartesian coordinates, the properties of a system of perfectly aligned ellipsoidal molecules can be exactly related to the analogous properties of a system of spherical molecules. This approach is used to determine for such a model system the structure of the liquid surface and the orientational dependence of the surface tension. It is found that the surface tension and surface stiffness are no longer equal as they are in an isotropic liquid. The smectic phase is absent, while a continuum of crystal phases exist, differing in the relative orientation between the molecular axis and the crystal axis.