Noun
the term in a syllogism that is common to both premises and excluded from the conclusion
Source: WordNetThere is no escape from the dilemma. There is no middle term in the school for the disinherited class alone; you have either a systematic insistence, by means of false teaching, on error and ignorance, or hatred of those who domineer and exploit. Francesc Ferrer i Guardia
This is because in the structure of the syllogism invoked (i.e. III-1) the middle term is not distributed in either the major premise or in the minor premise a pattern called the "fallacy of the undistributed middle". Source: Internet
Mortal is the major term, Greeks the minor term. The premises also have one term in common with each other, which is known as the middle term; in this example, humans. Source: Internet