8. But adds no real knowledge.
We can know then the truth of two sorts of propositions with perfect certainty.
The one is, of those trifling propositions which have a certainty in them, but it is only a verbal certainty, but not
instructive. And, secondly, we can know the truth, and so may be certain in propositions, which affirm something
of another, which is a necessary consequence of its precise complex idea, but not contained in it: as that the
external angle of all triangles is bigger than either of the opposite internal angles. Which relation of the outward
angle to either of the opposite internal angles, making no part of the complex idea signified by the name triangle,
this is a real truth, and conveys with it instructive real knowledge.