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Theaetetus was the first to study the octahedron and the icosahedron. Euclid's 10th and 13th books are almost certainly a description of Theaetetus's work. This means that it was Theaetetus's work on irrational lengths which is described in the 10th book, thought by many to be the finest work of the Elements.
Theaetetus is also thought to be the author of the theory of proportion which appears in Eudoxus's work.
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