The Eucharist is the Visible Unity of Christ

The Eucharist, before it is or can be anything else, is thus gathering or, better to say, the Church herself as unity in Christ. And this gathering is sacramental because it reveals, makes visible and “real,” the invisible unity in Christ, His presence among those who believe in Him, love Him and in Him love one another.

Alexander Schmemann
Of Water and Spirit
pg. 118

The Sacraments Pass Us Over Into the Kingdom of God

The holy water in Baptism, the bread and wine in the Eucharist, stand for, i.e. represent the whole of creation, but creation as it will be at the end, when it will be consummated in God, when He will fill all things with Himself.

It is this end that is revealed, anticipated, made already real to us in the sacrament; and in this sense each sacrament makes us pass over into the Kingdom of God. It is because the Church herself is the sacrament of this passage and in each of her sacraments takes us there, into the Kingdom of God, that the water of Baptism is holy, i.e. the very presence of Christ and the Holy Spirit; that the bread and wine of the Eucharist are truly, i.e. really, and with a reality more real than all the “objective” realities of “this world,” the Body and Blood of Christ, His parousia, His presence among us. Thus consecration is always the manifestation, the epiphany of that End, of that ultimate Reality for which the world was created, which was fulfilled by Christ through His Incarnation, Death, Resurrection and Ascension, which the Holy Spirit reveals today in the Church  and which will be consummated in the Kingdom “to come.”

Alexander Schmemann
Of Water and Spirit
pg. 49-50

Communion with the Lord through the martyrs

And we therefore, what we have heard and handled, declare also to you, brethren and little children, that as well you who were concerned in these matters may be reminded of them again to the glory of the Lord, as that you who know them by report may have communion with the blessed martyrs, and through them with the Lord Jesus Christ, to whom be glory and honour, for ever and ever.

The Passion of the Holy Martyrs Perpetua and Felicitas 
Preface

The Eucharist as a sacrifice

We are the true adorers and the true priests, who, praying in spirit, sacrifice, in spirit, prayer,—a victim proper and acceptable to God, which assuredly He has required, which He has looked forward to for Himself! This victim, devoted from the whole heart, fed on faith, tended by truth, entire in innocence, pure in chastity, garlanded with love, we ought to escort with the pomp of good works, amid psalms and hymns, unto God’s altar, to obtain for us all things from God.

Tertullian
On Prayer
Chapter XXVIII

On fasting and the Eucharist

Similarly, too, touching the days of Stations, most think that they must not be present at the sacrificial prayers, on the ground that the Station must be dissolved by reception of the Lord’s Body. Does, then, the Eucharist cancel a service devoted to God, or bind it more to God?  Will not your Station be more solemn if you have withal stood at God’s altar? When the Lord’s Body has been received and reserved each point is secured, both the participation of the sacrifice and the discharge of duty.

Tertullian
On Prayer
Chapter XIX

Baptism and Eucharist are like two united baptisms

These two baptisms He sent out from the wound in His pierced side, in order that they who believed in His blood might be bathed with the water; they who had been bathed in the water might likewise drink the blood. This is the baptism which both stands in lieu of the fontal bathing when that has not been received, and restores it when lost.

Tertullian
On Baptism
Chapter XVI

The body makes is possible for the soul to be saved through the sacraments of the Church

And since the soul is, in consequence of its salvation, chosen to the service of God, it is the flesh which actually renders it capable of such service. The flesh, indeed, is washed, in order that the soul may be cleansed; the flesh is anointed, that the soul may be consecrated; the flesh is signed (with the cross), that the soul too may be fortified; the flesh is shadowed with the imposition of hands, that the soul also maybe illuminated by the Spirit; the flesh feeds on the body and blood of Christ, that the soul likewise may fatten on its God. They cannot then be separated in their recompense, when they are united in their service. Those sacrifices, moreover, which are acceptable to God—I mean conflicts of the soul, fastings, and abstinences, and the humiliations which are annexed to such duty—it is the flesh which performs again and again to its own especial suffering.  Virginity, likewise, and widowhood, and the modest restraint in secret on the marriage-bed, and the one only adoption of it, are fragrant offerings to God paid out of the good services of the flesh.

Tertullian 
On the Resurrection of the Flesh
Chapter VIII

The sacrament as Christ’s body and blood is denied by the heretics

In like manner, when treating of the gospel, we have proved from the sacrament of the bread and the cup the verity of the Lord’s body and blood in opposition to Marcion’s phantom;

Tertullian
The Five Books Against Marcion, Book V
Chapter VIII