  We present abundances for 12 giants in the Sagittarius Dwarf Spheroidal
Galaxy (Sgr dSph) obtained from VLT - UVES spectra. Moving on a short period,
polar orbit around the Milky Way, the Sgr dSph is undergoing tidal disruption
and will eventually dissolve in the Halo.Our sample is dominated by a metal
rich, alpha-element-poor population, indicative of long chemical processing of
the dSph gas during a slow, probably bursting star formation history. This
population is the most metal-rich ever observed in a Dwarf Galaxy of the Local
Group, and has the lowest alpha-element content. Placing the known abundances
of the LG dwarfs on the [alpha/Fe] vs. [Fe/H] plane allows now to recognize a
well defined evolutive sequence, different from the one followed by the MW disk
stars, but apparently superimposed to the one followed by many of the Damped
Lyman Alpha systems.
