TrÃÂbowiec Duà ¼y is a village in the administrative district of Gmina Mirzec, within Starachowice County, à ÂwiÃÂtokrzyskie Voivodeship, in south-central Poland. It lies approximately north-east of Mirzec, north of Starachowice, and north-east of the regional capital Kielce.