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.
Gli Elementi Serie
Questa serie approfondisce i principi fondamentali della matematica e della geometria, presentando opere seminali che hanno plasmato il pensiero occidentale per secoli. Ogni volume analizza meticolosamente definizioni, postulati e proposizioni, accompagnato da commenti approfonditi di studiosi dall'antichità ai tempi moderni. Si pone come una risorsa inestimabile per coloro che cercano di comprendere l'evoluzione del rigore matematico e del ragionamento logico. La raccolta offre un'esplorazione affascinante della storia intellettuale e dell'influenza duratura dei concetti geometrici.
