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==Characters of the dialogue== * '''[[Euclid of Megara]]''' - the founder of the [[Megarian school]] of philosophy, a student of [[Socrates]] and contemporary of Plato.{{sfn|Nails|2002|pp=144-145}} * '''[[Terpsion]]''' - a friend of Euclid who is unknown outside of this dialogue, although later fables about him, that were likely written on the basis of this dialogue are preserved by [[Plutarch]]<ref>Plutarch, ''de Gen. Socr.''</ref> and in the [[Cynic epistles]].{{sfn|Nails|2002|pp=274}} * '''[[Socrates]]''' - the famous teacher of Plato, who was executed by the people of [[Athens]] in 399 BC. In the dialogue, which takes place just before Socrates visits the Palace of the King Archon for his [[Trial of Socrates|trial]], Socrates is an old man of about 70. * '''[[Theodorus of Cyrene|Theodorus]]''' - a Greek mathematician from [[Cyrene, Libya|Cyrene]], a prosperous Greek colony on the coast of North Africa, in what is now [[Libya]], on the eastern end of the [[Gulf of Sidra]]. Theodorus explored the theory of incommensurable quantities, and according to [[Diogenes Laertius]], was said to have taught mathematics to Plato, although the historicity of this claim cannot be verified.{{sfn|Nails|2002|pp=281-282}} * '''[[Theaetetus (mathematician)|Theaetetus]]''' - A Greek mathematician from Athens, who is credited in Book X of [[Euclid's Elements|Euclid's ''Elements'']] with developing a method for measuring [[irrational number|irrational]] lengths in terms of square roots, as well as the proof that there are precisely five [[Platonic solid|regular convex polyhedra]].<ref>''Greek Geometry from Thales to Euclid'' by [[George Johnston Allman]] (Hodges, Figgis, & Company, 1889, p. 206).</ref> According to the dialogue, he evidently resembled [[Socrates]] in the snubness of his nose and bulging of his eyes. He apparently died from wounds and [[dysentery]] after the battle in [[Corinth]] that occurs in the [[frame story]] of the dialogue. Socrates, Theaetetus, and Theodorus reappear the following day in the ''Sophist'' an apparent continuation of the conversation contained within the book of Euclid, where they are also joined by an unnamed [[Eleatic]] stranger and a boy [[Socrates the Younger|also named Socrates]].
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