Now these are the kings of the land, whom the children of Israel struck, and possessed their land beyond the Jordan toward the sunrise, from the valley of the Arnon to Mount Hermon, and all the Arabah eastward:
As for the scope of the territories that belonged to Sihon and Og, they may be described thus:  between them, they controlled all of the Trans-Jordan eastward from the Jordan Valley, with the Jabbok river lying between their territories.  Og controlled the northern area as far as mount Hermon, and Sihon controlled the southern sector south of the Jabbok.  The mention of "half of Gilead," indicates that the rather indefinite area called "Gilead" was divided about equally between Sihon and Og. (For further details regarding the conquest of Transjordania eastward, see notes, above on Deuteronomy, chapters 2,3.  Also, see Vol. 3 in this series of commentaries, under  Numbers 21.)