in the Old Logic, a term denoting a syllogism of the first indirect mode of the first figure. Hence a syllogism in baralipiton is when the first two propositions are universal affirmatives, the third a particular affirmative, and the middle term the subject in the first proposition, and the predicate in the second. For example,

BA. Every evil ought to be feared; BA. Every violent passion is an evil; LIP. Therefore something that ought to be feared is a violent passion.