Euclide et Héron : Deux approches de l'enseignement des mathématiques dans l'Antiquité ?

Abstract : In this paper I compare the deductive structure of classical geometric Texts with algorithmic structure that we found in Heron's Metrica and pseudo heronian Geometrica. I doubt about the pedagogical explanations of the differences that they share. The corpus read is Metrica, I, 1-8 and Geometrica 24.10-13. All these texts are synthetic and presuppose an analysis, a curious form of which Heron explicitly alludes in Metrica I, 6.
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Bernard Vitrac. Euclide et Héron : Deux approches de l'enseignement des mathématiques dans l'Antiquité ?. G. Argoud. Science et vie intellectuelle à Alexandrie (Ier-IIIe siècle après J. C.), Publications de l'Université de Saint-Etienne, pp.121-145, 1995. ⟨hal-00175155⟩

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