1.] An Universal Affirmative may also state a relation between two terms whose denotation is co-extensive.

A definition always does this, as _Man is a rational animal_; and this, of course, we cannot represent by two distinct circles, but at best by one with a thick circumference, to suggest that two coincide, thus: [Illustration: FIG.

2.] The Particular Affirmative Proposition may be represented in several ways.

In the first place, bearing in mind that 'Some' means 'some at least, it may be all,' an I.proposition may be represented by Figs.

1 and 2; for it is true that _Some horned animals ruminate_, and that _Some men are rational_.