Tertullian of Carthage (c. 155-220) was the first great Latin apologist and is at times called "The Father of the Latin Church." Tertullian believed in divine corporeality, and held that the Son was begotten out of the Father's material essence. It is argued that Tertullian affirmed the Latin equivalent of ομοούσιος with his phrase unius substantiae, but this is simply incorrect. (Adv. Praxeas 2.) The Greek equivalent of unius substantiae would be μονοούσιος, which carries a numeric sense. The Gnostics already made use of the term ομοούσιος and Tertullian discusses it in his writings. He translated ομοούσιος with the Latin equivalent consubstantialem, (never as unius substantiae), hence he deliberately avoided applying ομοούσιος to the Son and the Spirit. (Adv. Valentin. 12, 18, 37.) Tertullian claims the Son is not eternal.
"He has not always been Father and Judge, merely on the ground of His having always been God. For He could not have been the Father previous to the Son, nor a Judge previous to sin. There was, however, a time when neither sin existed with Him, nor the Son; the former of which was to constitute the Lord a Judge, and the latter a Father." (Adversus Hermogenes, 3.)
His argument might be summarized by saying that neither sin nor the Son are eternal for God was once alone. If God once existed alone then sin could not be eternal because God is perfectly holy and righteous. Hence, if there was no sin with him he could not be a judge for there were not yet any sins to judge. Equivalently he was not always a Father for he did not always have a Son. He argues that Prov. 8:22-31 proves that the Word and Wisdom of God was "born and created" by God before all else.
"The Lord," says the Scripture, "possessed me, the beginning of His ways for the creation of His works. Before the worlds He founded me; before He made the earth, before the mountains were settled in their places; moreover, before the hills He generated me, and prior to the depths was I begotten." Let Hermogenes then confess that the very Wisdom of God is declared to be born and created, for the special reason that we should not suppose that there is any other being than God alone who is unbegotten and uncreated. For if that, which from its being inherent in the Lord was of Him and in Him, was yet not without a beginning — I mean His wisdom, which was then born and created, when in the thought of God It began to assume motion for the arrangement of His creative works — how much more impossible is it that anything should have been without a beginning which was extrinsic to the Lord! But if this same Wisdom is the Word of God, in the capacity of Wisdom, and (as being He) without whom nothing was made, just as also (nothing) was set in order without Wisdom, how can it be that anything, except the Father, should be older, and on this account indeed nobler, than the Son of God, the only-begotten and first-begotten Word?" (Adv. Herm. 18.)
"When, therefore, He attested His own unity, the Father took care of the Son's interests, that Christ should not be supposed to have come from another God, but from Him who had already said, "I am God and there is none other beside me," who shows us that He is the only God, but in company with His Son, with whom "He stretcheth out the heavens alone… But, (this doctrine of yours bears a likeness) to the Jewish faith, of which this is the substance—so to believe in One God as to refuse to reckon the Son besides Him, and after the Son the Spirit." (Adv. Prax. 18, 31.)
The "one God" of the Jews is the Father of Christ, who is the "only God." Tertullian never likewise describes the Son and the Spirit. Tertullian also affirms the personhood of the Holy Spirit, and describes him as subordinate to the Son, third in rank.
"(Christ) sent also from heaven from the Father, according to His own promise, the Holy Ghost, the Paraclete, the sanctifier of the faith of those who believe in the Father, and in the Son, and in the Holy Ghost." (Adv. Prax. 2.)
The generation or creation of the Holy Spirit is never directly described but since Tertullian did not regard the Son as co-eternal with God it is certain that he regarded the Spirit as a creature of some sort as well. re all else and this was not a past-eternal act of nature but an act borne of "the will of his progenitor."