**Theaetetus of Athens** (/ˌθiːɪˈtiːtəs/; Greek: Θεαίτητος; c. 417–c. 369 BC),^{[1]} possibly the son of Euphronius of the Athenian deme Sunium, was a Greek mathematician. His principal contributions were on irrational lengths, which was included in *Book X* of Euclid's *Elements*, and proving that there are precisely five regular convex polyhedra.^{[2]} A friend of Socrates and Plato, he is the central character in Plato's eponymous Socratic dialogue.^{[3]}

Theaetetus, like Plato, was a student of the Greek mathematician Theodorus of Cyrene. Cyrene was 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 had explored the theory of incommensurable quantities, and Theaetetus continued those studies with great enthusiasm; specifically, he classified various forms of irrational numbers according to the way they are expressed as square roots. This theory is presented in great detail in Book X of Euclid's *Elements*.

Theaetetus was one of the few Greek mathematicians who was actually a native of Athens. Most Greek mathematicians of antiquity came from the numerous Greek cities scattered around the Ionian coast, the Black Sea and the whole Mediterranean basin.

He evidently resembled Socrates in the snubness of his nose and bulging of his eyes. This and most of what we know of him comes from Plato, who named a dialogue after him, the *Theaetetus*. He apparently died from wounds and dysentery on his way home after fighting in an Athenian battle at Corinth, now presumed to have occurred in 369 BC; some scholars argue alternately for 391 BC as his date of death, the date of an earlier battle at Corinth.^{[4]}

The crater Theaetetus on the Moon is named after him.

## See also

## References

**^**Boyer, Carl B. (1968).*A History of Mathematics*. New York, United States: John Wiley & Sons. p. 93.**^***Greek Geometry from Thales to Euclid*by George Johnston Allman (Hodges, Figgis, & Company, 1889, p. 206).**^**Plato,*Theaetetus*.**^**Debra Nails,*The People of Plato*. Indianapolis: Hackett Publishing, 2002; pp. 275–278

## External links

- A Discussion of Theaetetus' Contributions to Euclid's
*Elements* - O'Connor, John J.; Robertson, Edmund F., "Theaetetus of Athens",
*MacTutor History of Mathematics archive*, University of St Andrews.

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