[311:3] See Thatcher and McNeal, No. 13, 14. Bryce, 61-62.

[311:4] Waitz, iii., 184, note.

[312:1] Ludwig II. was led to admit that right in 871. Thatcher and McNeal, No. 51, 52.

[312:2] Döllinger, Empire of Charles the Great.

[313:1] Gratian, Decret., Dist. 63, Can. 22; Lea, Stud. in Ch. Hist., 81, 89, 90.

[313:2] Lea, Stud. in Ch. Hist., 63.

[313:3] Thatcher and McNeal, No. 47.

[313:4] Hincmari Inst. Reg., ch. 34 and 35.

[314:1] Harduin, iv., 1006.

[314:2] Lea, Stud. in Ch. Hist., 64-65.