Whether the image of God is in man according to the Trinity of Persons?

Objections

Objection 1 : It would seem that the image of God does not exist in man as to the Trinity of Persons. For Augustine says (Fulgentius De Fide ad Petrum i): "One in essence is the Godhead of the Holy Trinity; and one is the image to which man was made." And Hilary (De Trin. v) says: "Man is made to the image of that which is common in the Trinity." Therefore the image of God in man is of the Divine Essence, and not of the Trinity of Persons.
Objection 2 : Further, it is said (De Eccl. Dogmat.) that the image of God in man is to be referred to eternity. Damascene also says (De Fide Orth. ii, 12) that the image of God in man belongs to him as "an intelligent being endowed with free-will and self-movement." Gregory of Nyssa (De Homin. Opificio xvi) also asserts that, when Scripture says that "man was made to the image of God, it means that human nature was made a participator of all good: for the Godhead is the fulness of goodness." Now all these things belong more to the unity of the Essence than to the distinction of the Persons. Therefore the image of God in man regards, not the Trinity of Persons, but the unity of the Essence.
Objection 3 : Further, an image leads to the knowledge of that of which it is the image. Therefore, if there is in man the image of God as to the Trinity of Persons; since man can know himself by his natural reason, it follows that by his natural knowledge man could know the Trinity of the Divine Persons; which is untrue, as was shown above (Question [32], Article [1]).
Objection 4 : Further, the name of Image is not applicable to any of the Three Persons, but only to the Son; for Augustine says (De Trin. vi, 2) that "the Son alone is the image of the Father." Therefore, if in man there were an image of God as regards the Person, this would not be an image of the Trinity, but only of the Son.