Lucilla and Elizabeth, OR, Donatist and Protestant SCHISM paralleled.  
Donatism. Protestancy. 1. ordained Anti-Bishops. 1. ordained Anti-Bishops. 2. Erected Anti-Altars. 2. Erected Anti-Tables. 3. impeached all other Churches of apostasy. 3. impeached the whole Church of Superstition, Idolatry, and Antichristianism. 4. Communicated with no other Church in Religious Offices. 4. Communicates, in Sacred Duties, with no Christian Society. 
5. appealed from the Churches Sentence in a Spiritual Cause to a Lay-Prince.  
Yet continued the catholic Creed, Sacraments, Liturgies, Regiment and Solemnities, as they were before the Schism.  
5. appealed from the Churches Decrees to the Princes Supremacy, advancing it in all Spiritual Cases, above any Authority, Ecclesiastical, whatsoever.  
Continues Baptism and the Creed( in most Articles) but errs concerning the Eucharist and other our Lord's Sacraments, abrogating the Liturgies, Rites, Canons, Fasts and Festivals, as also the Spiritual Jurisdiction of the Church, and caconical Obedience to the Western Patriarch.   

St. Augustin's Censure against the Donatists involving Protestants also.  

Epist. 48.  YOU[ Donatists] are with us [ Catholics] in Baptism, in the Creed, and in the rest of our Lord's Sacraments; but in the Spirit of Unity, in the Bond of Peace, lastly, in the Catholic Church itself, you are not with us.  

Epist. 153.  The Sacraments of Christ, which in the Sacrilege of Schism you [ Donatists] have to judgement, will be profitable and wholesome to you, when you shall have the Head, Christ, in Catholic Peace, where Charity will cover a multitude of Sins.  

De Unitate Ecclesiae, c. 4.  Whosoever believe Christ Jesus to be come in the Flesh, &c. but yet so dissent from his Body which is his Church, as that their Communion is not with the whole, wherever diffused, but is found Separated in some part, 'tis manifest they are not in the Catholic Church.  

Cap. 2.  This Church is the Body of Christ, as the Apostle saith, Col. 1.24. For his Body, which is the Church. Whence surely 'tis manifest, That He who is no Member of Christ, cannot have Christian Salvation. But the Members of Christ are joined to each other by the Charity of Unity, and by the same[ Charity] do they cohere to their Head, Christ Jesus.  

Epist. 153.  Whosoever therefore is Separated from the Catholic Church, how laudably soever he thinks himself to live, for this only Crime, that he is disjoined from the Unity of Christ, he shall not have life, but the wrath of God abideth on him.  
Now St. Augustin places the Donatists Schism in their not joining with Catholics in Religious Offices, In forsaking all Christian Assemblies, In not partaking with them of the Eucharist, In Prayers, &c. Whence he concludes them not to belong to the Catholic Church, Not to be Members of Christ's Mystical Body, Not to have Charity, Not Sacraments to Benefit, Not Piety with hope, nor Salvation. Have Prelatical Protestants of Great Britain and Ireland and visible Communion, in the Eucharist or other Divine Service, with any Christian Church on Earth? If they have not, as is undeniable, then according to St. Augustin, they are not in the Catholic Church, are not Members of Christ, are without Charity, beneficial Sacraments, hopeful Holiness, and eternal Salvation. And this Censure by so much more justly belongs to them, as their Schism is more contumacious, their Calumnies against the Catholic Church more horrid, and their Defection by heresy as well as Schism, wider than was the Donatists.    

published with Allowance.   

LONDON, Printed by Henry Hills, Printer to the King's most Excellent Majesty for His household and chapel. 1686.