c. 2. c. 3. c. 4. c. 5. c. (5. c. 7. c. 8. c. 9. c. 10. c. 11. c. vz. 536 APPENDIX I. (Chaps. 1-12) Chap. 1. Concerning the Patzinaks, and the importance of being at peace with them. The relations of the Patzinaks with the Russians ('Pws). The rehitions of the Patzinaks with the Hungarians {TovpKoi], Conclusion, drawn from c. 3 and c. 4, that, if the Empire is on good terms with the Patzinaks, it need not fear Russian or Hungarian inva.sions. since the Russians and Hungarians cannot leave their countries exposed to the depredations of the Patzinaks. Relations of the Patzinaks wth the Bulgarians. Relations of the Patzinaks with the Chersonites. The sending of Imperial ambassadors to the Patzinaks via Cherson. The route of Imjierial ambassadors to the Patzinaks via the Danube and the Dnieper. The route of Russians coming b_v water from Russia to Constantinople. An account of the Dnieper waterfalls (cp. below, Appendix 15). Concerning Chazaria. VCar can be made on the Chazars with the help of their neighbours the Uzes, or of the Alans. Concerning the forts of Cherson and Bosporus, and how the Alans can attack the Chazars. Black Bulgaria {i.e. Bulgaria on the Volga) can also attack the Chazars. [Thus there are three checks on the Chazars : the Uzes, the Alans, and the Eastern Bulgarians. ] c. 13fl. The nations which march on the Hungarians. II. {c. 13) 2 c. 13'j. Showing how unreasonable requests on the part of barbarian nations are to be met. Three such requests, which an Emperor must never grant, are dealt with : (1) for Imperial robes and crowns (of the kind called Ka/j.eavKta) ; (2) for Greek fire ; (3) for a bride of the Imperial family. The authority of Constantine the Great is in all cases to be quoted a-s a reason for refusal. For the exceptions to (3) see above, p. 87-8. III. (c. 14-46) c. 14. The genealogy of Mohammad. c. 15. The race of the Patimids. c. K). The date of the Hijra (l|o3os of the Saracens). c. 17. An extract from the Chronicle of Theophanes on the death of ^lo- hammad and his doctrine. c. IS. Abu Bekr. c. ly. Omar (at Jerusalem). c. 20. Othman. c. 21, c. 22. Extracts from the Chronicle of Theophanes on the caliphates of 3Iuawa and some of his successors. c. 23, c. 24. Iberia and Spain. (Quotations from old geographers.) c. 25<i. Extract from Theophanes on Aetius and Boniface (in the reign of Valentinian III.). c. '251. On the divisions of the Caliphate.' 0. 26. The genealogy of King Hugo of Burgundy (whose daughter married Romanus II.). - The first two paragraphs of c. 13, with the title of the chapter (p. 81, ed. B.), really belong to part i., and should be separated from the rest of c. 13 (which ought to be entitled 3 P. 113, 1. 6 to end ; this piece ought to be a separate chapter.