Charles Buck Theological Dictionary
Such bishops as were exempt from the discipline and jurisdiction of their ordinary bishop or patriarch. It was also the denomination of certain sects; 1. of those who, in the affair of the council of Ephesus, refused to follow either St. Cyril or John of Antioch; 2. of certain heretics in the fifth century, who, at first, followed Peter Mongus, but afterwards abandoned him, upon his subscribing to the council of Chalcedon, they themselves adhering to the Eutychian heresy; and, 3. of the followers of Severus of Antioch, and of all, in general, who held out against the council of Chalcedon.
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Buck, Charles. Entry for 'Acephali'. Charles Buck Theological Dictionary. https://www.studylight.org/dictionaries/eng/cbd/a/acephali.html. 1802.