[Footnote 91: Dion Cassius, lxviii. 8.] [Footnote 92: Dion Cassius, lxviii. 9.] [Footnote 93: See vignette at the end of this chapter.] [Footnote 94: All these places, along with the lines indicating existing remains of Roman roads, will be found on our map.] [Footnote 95: Full details of games, gladiatorial fights, coins struck, &c., in Dierauer, pp. 105 _et seq._] [Footnote 96: Those of our readers who desire to follow these superficial outlines of the story, as represented on the column, will do well to inspect the beautiful line engravings of Piranese, without however accepting his interpretations as conclusive.] III. Whatever uncertainty attaches to the details of Trajan's expeditions, there is none as to their ultimate result, nor concerning the chief operations of the conqueror and his successors in the newly-acquired territory, which was formally annexed as a province of the Empire. Some historians have attempted to define with great minuteness the boundaries of the new province, but more cautious writers content themselves with naming approximate limits; and these have done wisely, as there is no doubt that the movements of the neighbouring tribes and even of the conquered Dacians (for it is a mistake to suppose, as some do, that they went out of existence) prevented any strict line of demarcation. The nominal boundaries of Roman Dacia were the river Theiss on the west, the Pruth on the east, 'barbarians' on the north, and the river Danube on the south. The country actually colonised embraced the Banate of Temesvar, Transylvania (Siebenbürgen), and Roumania as they exist to-day. There were several centres of colonisation, of which the chief was Ulpia Trajana, including the old capital of Decebalus, Sarmizegethusa (now Varhely), and other important centres were Apulum and Cerna or Tierna.[97]