1. Preamble
1.1 Historical background
Convex geometry is a recent branch of mathematics, although the first consistent contributions date back to antiquity (the Pythagoreans (VI e century BC) and Theaetetus of Athens (IV e century BC)), Euclid of Alexandria (circa 300 BC.), Zenodorus (II e century BC)...) Archimedes of Syracuse (III e century AD) (p. 4 of , p. 112 of
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