taken as comb. form of LOGIC, LOGICAL, in the sense ‘logical and ….’

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1810.  Coleridge, in Lit. Rem. (1838), III. 383. Bishops, liturgies [etc.],… were,… with celestial patents, wrapped up in the womb of this or that text of Scripture to be exforcipated by the logico-obstetric skill of High Church doctors.

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