Elements
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His mathematical books called Elements. His work on geometry, particularly his famous axioms.
need a simple explanation of Euclids theory.
compositions
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The thirteenth book in Euclids Elements has no specific title, but covers the Pythagorean proofs of Theaetetus (c. 417-369 bc) and the construction of the five regular Platonic solids (pyramid, cube, octahedron, dodecahedron, icosahedron) inside a given sphere.