The Son and the Holy Spirit are the same substance as the Father

Therefore, inasmuch as the Divine Monarchy also is administered by so many legions and hosts of angels, according as it is written, “Thousand thousands ministered unto Him, and ten thousand times ten thousand stood before Him;” and since it has not from this circumstance ceased to be the rule of one (so as no longer to be a monarchy), because it is administered by so many thousands of powers; how comes it to pass that God should be thought to suffer division and severance in the Son and in the Holy Ghost, who have the second and the third places assigned to them, and who are so closely joined with the Father in His substance, when He suffers no such (division and severance) in the multitude of so many angels? Do you really suppose that Those, who are naturally members of the Father’s own substance, pledges of His love, instruments of His might, nay, His power itself and the entire system of His monarchy, are the overthrow and destruction thereof? You are not right in so thinking.

Tertullian
Against Praxeas
Chapter III

The pagans struggle believing in one God, and see the three persons as three gods

The simple, indeed, (I will not call them unwise and unlearned,) who always constitute the majority of believers, are startled at the dispensation (of the Three in One), on the ground that their very rule of faith withdraws them from the world’s plurality of gods to the one only true God; not understanding that, although He is the one only God, He must yet be believed in with His own οἰκονομία . The numerical order and distribution of the Trinity they assume to be a division of the Unity; whereas the Unity which derives the Trinity out of its own self is so far from being destroyed, that it is actually supported by it.

Tertullian
Against Praxeas
Chapter III

The Trinity is one God in substance but three persons

But keeping this prescriptive rule inviolate, still some opportunity must be given for reviewing (the statements of heretics), with a view to the instruction and protection of divers persons; were it only that it may not seem that each perversion of the truth is condemned without examination, and simply prejudged; especially in the case of this heresy, which supposes itself to possess the pure truth, in thinking that one cannot believe in One Only God in any other way than by saying that the Father, the Son, and the Holy Ghost are the very selfsame Person. As if in this way also one were not All, in that All are of One, by unity (that is) of substance; while the mystery of the dispensation is still guarded, which distributes the Unity into a Trinity, placing in their order the three Persons—the Father, the Son, and the Holy Ghost: three, however, not in condition, but in degree; not in substance, but in form; not in power, but in aspect; yet of one substance, and of one condition, and of one power, inasmuch as He is one God, from whom these degrees and forms and aspects are reckoned, under the name of the Father, and of the Son, and of the Holy Ghost. How they are susceptible of number without division, will be shown as our treatise proceeds.

Tertullian
Against Praxeas
Chapter II

A summation of the orthodox faith

We, however, as we indeed always have done (and more especially since we have been better instructed by the Paraclete, who leads men indeed into all truth), believe that there is one only God, but under the following dispensation, or οἰκονομία , as it is called, that this one only God has also a Son, His Word, who proceeded from Himself, by whom all things were made, and without whom nothing was made. Him we believe to have been sent by the Father into the Virgin, and to have been born of her—being both Man and God, the Son of Man and the Son of God, and to have been called by the name of Jesus Christ; we believe Him to have suffered, died, and been buried, according to the Scriptures, and, after He had been raised again by the Father and taken back to heaven, to be sitting at the right hand of the Father, and that He will come to judge the quick and the dead; who 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. That this rule of faith has come down to us from the beginning of the gospel, even before any of the older heretics, much more before Praxeas, a pretender of yesterday, will be apparent both from the lateness of date which marks all heresies, and also from the absolutely novel character of our new-fangled Praxeas.

Tertullian
Against Praxeas
Chapter I

Being both God and man united is what makes Christ the mediator between them

And so the flesh shall rise again, wholly in every man, in its own identity, in its absolute integrity. Wherever it may be, it is in safe keeping in God’s presence, through that most faithful “Mediator between God and man, (the man) Jesus Christ,” who shall reconcile both God to man, and man to God; the spirit to the flesh, and the flesh to the spirit. Both natures has He already united in His own self; He has fitted them together as bride and bridegroom in the reciprocal bond of wedded life.

Tertullian 
On the Resurrection of the Flesh
Chapter LXIII

God the Word created flesh as an image of his coming in the flesh later in time

For, whatever was the form and expression which was then given to the clay (by the Creator) Christ was in His thoughts as one day to become man, because the Word, too, was to be both clay and flesh, even as the earth was then.  For so did the Father previously say to the Son: “Let us make man in our own image, after our likeness.” And God made man, that is to say, the creature which He moulded and fashioned; after the image of God (in other words, of Christ) did He make him. And the Word was God also, who being in the image of God, “thought it not robbery to be equal to God.” Thus, that clay which was even then putting on the image of Christ, who was to come in the flesh, was not only the work, but also the pledge and surety, of God.

Tertullian
On the Resurrection of the Flesh
Chapter VI

Those who deny his flesh will one day witness him in the flesh

They too who crucified Him shall see and acknowledge Him; that is to say, His very flesh, against which they spent their fury, and without which it would be impossible for Himself either to exist or to be seen; so that they must blush with shame who affirm that His flesh sits in heaven void of sensation, like a sheath only, Christ being withdrawn from it; as well as those who (maintain) that His flesh and soul are just the same thing, or else that His soul is all that exists, but that His flesh no longer lives.

Tertullian
On the Flesh of Christ
Chapter XXIV

Jesus and Christ are the same being

Surely he is antichrist who denies that Christ has come in the flesh. By declaring that His flesh is simply and absolutely true, and taken in the plain sense of its own nature, the Scripture aims a blow at all who make distinctions in it. In the same way, also, when it defines the very Christ to be but one, it shakes the fancies of those who exhibit a multiform Christ, who make Christ to be one being and Jesus another…

Tertullian
On the Flesh of Christ
Chapter XXIV

Christ could have become flesh without birth, but he didn’t

Pray, tell me, why the Spirit of God descended into a woman’s womb at all, if He did not do so for the purpose of partaking of flesh from the womb. For He could have become spiritual flesh without such a process,—much more simply, indeed, without the womb than in it. He had no reason for enclosing Himself within one, if He was to bear forth nothing from it. Not without reason, however, did He descend into a womb. Therefore He received (flesh) therefrom; else, if He received nothing therefrom, His descent into it would have been without a reason, especially if He meant to become flesh of that sort which was not derived from a womb, that is to say, a spiritual one.

Tertullian
On the Flesh of Christ
Chapter XIX