The desert, a vast steppe, or elevated expanse of sand, with occasional hills and a sparse vegetation. It has the mountains of Gilead on the west, and the river Euphrates on the east, and extends far to the south. It comprehends the country of the Itureans, the Ishmaelites, the people of Kedar, and others, who led a wandering life, having no cities, houses, or fixed habitations, but wholly dwelling in tents; in modern Arabic, such are called Bedawin. When Paul says he "went into Arabia and returned again to Damascus," he meant doubtless the northern part of Arabia Deserta, which lay adjacent to the territories of Damascus, Galatians 1:17.

And ii.
... in the field of Moab; and further, to Lamentations 4:21, according to which Edom
dwells in the land of Uz, which can be sought for only in Arabia Deserta. ...
/.../hengstenberg/christology of the old testament/chap i and ii.htm

The Poetical Books.
... of Uz," and the geographers agree that the descriptions of the book apply to the
region known in the classical geographies as "Arabia Deserta," southeast of ...
/.../gladden/who wrote the bible/chapter vii the poetical books.htm

The Psalter of Solomon.
... having defeated Aristobulus with the aid of Aretas, king of Arabia, was besieging ...
in perditionem et in improperium populo; et domus h??c erit deserta; et omnis ...
//christianbookshelf.org/deane/pseudepigrapha/the psalter of solomon.htm