A.M.= Anno Mundi ; i.e. in the year of the world. B.C.=
Before Christ. Reckoned as from 4004 A.M.
A.C.= Anno Christi ; i.e. in the year of Christ. Reckoned
from the Nativity, in 4000 A.M. and 749-750 A.U.C.
A.U.C.= Anno Urbis conditoe ; i.e. in the year in which the City (Rome)
was founded.
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1. ZUMPT fixes Quirinus' (Cyrenius') First Govenorship as 4 B.C. to 1 B.C. Justin Martyr thrice says that our Lord was born under Quirinus (Apol.1.XXXIV, p.37; XLVI, p. 46; Dial. LXXVIII, p. 195. Clark's ed.).
2. According to some, Augustus died August 19, A.D. 14. Therefore if Tiberius' co-regnancy was for two years before Augustus' death his first year was 765 A.U.C. = 12 A.D. His fifteenth year consequently was A.U.C. 779 = 26 A.D. = 4030 A.M. and A.C. 30. for our Lord was thirty years of age when He begun His Ministry (Luke 3:23). Clement of Alexandria gives the years of Augustus' reign as being 43-46, according to different reckonings in his day.
3. According to Clement of Alexandria (c. A.D. 190-220)
"Our Lord was born in the twenty-eighth year when first the census was
taken every fourteen years, then the next would fall in A.D. 10, and the
succeeding one would have been due A.D.24.