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Plato: Ideas
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That they can define a circle is evidence that they know what it is. For Plato, therefore, the Form "circularity" exists, but not in the physical world of space and time. It exists as a changeless object in the world of Forms or Ideas, which can be known only by reason. Forms have greater reality than objects in the physical world both because of their perfection and stability and because they are models, resemblance to which gives ordinary physical objects whatever reality they have. Circularity, squareness, and triangularity are excellent examples, then, of what Plato meant by Forms.
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Socrates is often a character in the dialogues of Plato. How much of the content and argument of any given dialogue is Socrates' point of view, and how much of it is Plato's, is heavily disputed, since Socrates himself did not write down his teachings; this is often known as the "Socratic problem". However, Plato was doubtless strongly influenced by Socrates' teachings, so many of the ideas presented, at least in his early works, were probably borrowings.
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