  We use the Thomas-Fermi method to examine the thermodynamics of particles
obeying Haldane exclusion statistics. Specifically, we study
Calogero-Sutherland particles placed in a given external potential in one
dimension. For the case of a simple harmonic potential (constant density of
states), we obtain the exact one-particle spatial density and a {\it closed}
form for the equation of state at finite temperature, which are both new
results. We then solve the problem of particles in a $x^{2/3} ~$ potential
(linear density of states) and show that Bose-Einstein condensation does not
occur for any statistics other than bosons.
