  A general equation of state for the hard-body reference system of real fluid
has been developed from first principles, statistical mechanical arguments
using metric differential geometry to describe the "available volume," V0, and
its determining surface, S0, of a hard-body fluid. The rigorous, exact results
of scaled particle theory of Reiss et al., which themselves obtain from
statistical geometry, have been applied following the extension of Boublik et
al. for hard bodies of non-spherical shape. The geometric description of the
hard-body system can be used with the Boublik equation of state at low and
modest densities. At high densities, this geometric description specifies the
procedure to specify V0 and S0, notwithstanding that both become
multiply-connected.
