Hegel famously speaks of the idea in the third section of his Doctrine of the Notion, this playing a central role in his system. It seems natural to suppose a close relation to what is traditionally referred to as Plato's doctrine of ideas (or theory of forms). I am wondering where in print anyone (preferably Hegel himself) would have expanded on the relation between Hegel's Idea and Plato's Ideas.
I see that in Hegel's "Lectures on the History of Philosophy" in the section on Plato there is this paragraph, which might be read as being about this relation:
In this account of Philosophy, we at once see what the so much talked of Ideas of Plato are. The Idea is nothing else than that which is known to us more familiarly by the name of the Universal, regarded, however, not as the formal Universal, which is only a property of things, but as implicitly and explicitly existent, as reality, as that which alone is true. We translate eidoς first of all as species or kind; and the Idea is no doubt the species, but rather as it is apprehended by and exists for Thought. Of course when we understand by species nothing but the gathering together by our reflection, and for convenience sake, of the like characteristics of several individuals as indicating their distinguishing features, we have the universal in quite an external form.
While not very explicit, I suppose we may take the singular Idea in the second sentence as being Hegel's concept. Maybe Hegel found it too obvious to need highlighting that where he speaks of "Idea" he speaks in Plato's tradition? But then, Hegel notoriously has his ideosyncrasies, so I am left wondering.
Could anyone provide me with pointers to passages that would further clarify the (intended or perceived) relation between Hegel's Idea and Plato's Ideas either in the primary or in the secondary literature?