Charles Buck Theological Dictionary
Or ABELONIANS, a sect which arose in the diocese of Hippoo in Africa, and is supposed to have begun in the reign of Arcadius, and ended in that of Theodosius. Indeed, it was not calculated for being of any long continuance. They regulated marriage after the example of Abel, who, they pretended, was married, but lived in a state of continence: they therefore allowed each man to marry one woman, but enjoined them to live in the same state. To keep up the sect, when a man and woman entered into this society, they adopted a boy and a girl, who were to inherit their goods, and to marry upon the same terms of not having children, but of adopting two of different sexes.
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Buck, Charles. Entry for 'Abelians'. Charles Buck Theological Dictionary. https://www.studylight.org/dictionaries/eng/cbd/a/abelians.html. 1802.