Upon the arrival, therefore, of the eighth day, on which it was customary for the circumcision in the flesh to be performed according to the enactment of the law, He receives His Name, even Jesus, which by interpretation signifies, the Salvation of the people. For so had God the Father willed that His Son should be named, when born in the flesh of a woman. For then especially was He made the salvation of the people, and not of one only, but of many, or rather of every nation, and of the whole world. He received His name, therefore, on the same occasion on which He was circumcised.
But come, and let us again search and see, what is the riddle, and to what mysteries the occurrence directs us. The blessed Paul has said, "Circumcision is nothing, and uncircumcision is nothing." To this it is probable that some may object, Did the God of all then command by the all-wise Moses a thing of no account to be observed, with a punishment decreed against those that transgressed it? Yes, I say: for as far as regards the nature of the thing, of that, I mean, which is done in the flesh, it is absolutely nothing, but it is pregnant with the graceful type of a mystery, or rather contains the hidden manifestation of the truth. For on the eighth day Christ arose from the dead, and gave us the spiritual circumcision.
Cyril of Alexandria, Commentary on Luke, Sermon III.