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From: Webster's Revised Unabridged Dictionary (1913)

 ca·non·ic ca·non·ic·al a.  Of or pertaining to a canon; established by, or according to, a canon or canons.  “The oath of canonical obedience.”
 Canonical books, or Canonical Scriptures, those books which are declared by the canons of the church to be of divine inspiration; -- called collectively the canon. The Roman Catholic Church holds as canonical several books which Protestants reject as apocryphal.
 Canonical epistles, an appellation given to the epistles called also general or catholic. See Catholic epistles, under Canholic.
 Canonical form Math., the simples or most symmetrical form to which all functions of the same class can be reduced without lose of generality.
 Canonical hours, certain stated times of the day, fixed by ecclesiastical laws, and appropriated to the offices of prayer and devotion; also, certain portions of the Breviary, to be used at stated hours of the day. In England, this name is also given to the hours from 8 a. m. to 3 p. m. (formerly 8 a. m. to 12 m.) before and after which marriage can not be legally performed in any parish church.
 Canonical letters, letters of several kinds, formerly given by a bishop to traveling clergymen or laymen, to show that they were entitled to receive the communion, and to distinguish them from heretics.
 Canonical life, the method or rule of living prescribed by the ancient clergy who lived in community; a course of living prescribed for the clergy, less rigid than the monastic, and more restrained that the secular.
 Canonical obedience, submission to the canons of a church, especially the submission of the inferior clergy to their bishops, and of other religious orders to their superiors.
 Canonical punishments, such as the church may inflict, as excommunication, degradation, penance, etc.
 Canonical sins Anc. Church., those for which capital punishment or public penance decreed by the canon was inflicted, as idolatry, murder, adultery, heresy.