  We demonstrate cavity cooling of all motional degrees of freedom of an atomic
ensemble using light that is far detuned from the atomic transitions by several
gigahertz. The cooling is achieved by cavity-induced frequency-dependent
asymmetric enhancement of the atomic emission spectrum, thereby extracting
thermal kinetic energy from the atomic system. Within $100 ~\mathrm{ms}$, the
atomic temperature is reduced from $200 ~\mu\mathrm{K}$ to $10 ~\mu\mathrm{K}$,
where the final temperature is mainly limited by the linewidth of the cavity.
In principle, the technique can be applied to molecules and atoms with complex
internal energy structure.
