When Baby is "Born" Through C-Section

The Torah says that when a woman gives birth to a male baby, he is to be circumcised on the eighth day of his life. (Leviticus 12:2-3)

What happens when the birth is not really a "birth"?

Consider this: In "Macbeth," Macduff was able to kill Macbeth, who was unable to be harmed by anyone of woman born, because Macduff was "from his mother's womb untimely ripp'd" — born via a Caesarean section.

A similar thought process occurs in some cases when a child is brought into this world through this abdominal surgical procedure.