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 ...