Person in the Trinity
All this was worked out in greater detail by Augustine. He does not derive the Trinity from the Father but from the unity of the divine essence, nor does he conceive of it as accidental but rather as an essential characteristic of the divine being. It belongs to God’s very essence to be triune. In that regard personhood is identical with God’s being itself. “For to God it is not one thing to be and another to be a person, but it is altogether the same thing” (De trin., VII, 6). For if being belonged to God in an absolute sense, and personhood in a relative sense, the three persons could not be one being. Each person, therefore, is identical with the entire being and equal to the other two or all three together.
Herman Bavinck, Reformed Dogmatics: God and Creation, Volume 2, p. 303-304