Convexity in Greek antiquity

Athanase Papadopoulos (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We consider several appearances of the notion of convexity in Greek antiquity, more specifically in mathematics and optics, in the writings of Aristotle, and in art.

Mots clés: convexity; history of convexity; Greek antiquity; optics; lenses; Archimedes; Aristotle; Apollonius; conics.

Domaines: Histoire et perspectives sur les mathématiques [math.HO]; Topologie géométrique [math.GT]; Géométrie différentielle [math.DG]

Athanase Papadopoulos. Convexity in Greek antiquity. In: Geometry in History (ed. S. G. Dani and A. Papadopoulos), Springer, p. 139-152, 2019, 978-3-030-13609-3. ⟨10.1007/978-3-030-13609-3⟩. ⟨hal-02441633⟩