MADIAN, in Ancient Geography, a town of Arabia Petraea, near the Arnon; so called from one of the sons of Abraham by Ketura; in ruins in Jerome's time. Jerome mentions another MADIAN, or MIDIAN, beyond Arabia, in the desert, to the south of the Red sea; and hence Madianari, and Madianitari, the people; and Madianca Regio, the country.