This definitive edition presents the complete Euclid, featuring the full text established by Heiberg, encompassing nearly 2,500 years of mathematical and historical study. This unabridged republication includes all 13 books of the Elements, accompanied by a critical apparatus that meticulously analyzes each definition, postulate, and proposition. It delves into textual and linguistic aspects, mathematical interpretations of Euclid’s concepts, and insights from classical, medieval, Renaissance, and modern commentators, supplemented by extensive quotations. The introduction spans 151 pages, covering Euclid's life, other works, Greek and Islamic commentators, surviving manuscripts, scholia, translations, and the foundations of his thought. Volume 1 includes Books I and II, addressing straight lines, angles, intersections, triangles, and parallelograms. Volume 2 encompasses Books III-IX, discussing circles, tangents, segments, ratios, proportions, polygons, prime numbers, and more. Volume 3 covers Books X to XIII, exploring planes, solid angles, and the method of exhaustion in similar polygons, pyramids, cones, cylinders, and spheres. An appendix features Books XIV and XV, which are sometimes attributed to Euclid.
Les Éléments Séries
Cette série explore les principes fondamentaux des mathématiques et de la géométrie, présentant des œuvres fondamentales qui ont façonné la pensée occidentale pendant des siècles. Chaque volume analyse méticuleusement les définitions, les postulats et les propositions, accompagné de commentaires approfondis d'érudits de l'Antiquité à l'époque moderne. Elle constitue une ressource inestimable pour ceux qui cherchent à comprendre l'évolution de la rigueur mathématique et du raisonnement logique. La collection offre une exploration fascinante de l'histoire intellectuelle et de l'influence durable des concepts géométriques.
