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This article proposes a reading of Book I of Euclid's Elements with anemphasis of the experiences of infinity supplied by it, as a preparatory studyfor a research on the embodied cognition of infinity and its material anchors.  --  Cet article propose une lecture du premier livre des \'El\'ements d'Euclide.Il soutient qu'une telle lecture procure des exp\'eriences de l'infini. Ils'agit selon son auteur d'une \'etude pr\'eliminaire \`a une recherche sur lacognition incarn\'ee de l'infini et de ses ancrages mat\'eriels.

Experiences of infinity and of generality in Book I of Euclid's Elements