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.
Los Elementos Serie
Esta serie se adentra en los principios fundamentales de las matemáticas y la geometría, presentando obras cumbre que han moldeado el pensamiento occidental durante siglos. Cada volumen analiza meticulosamente definiciones, postulados y proposiciones, acompañado de comentarios profundos de eruditos desde la antigüedad hasta la época moderna. Sirve como un recurso invaluable para aquellos que buscan comprender la evolución del rigor matemático y el razonamiento lógico. La colección ofrece una exploración fascinante de la historia intelectual y la influencia perdurable de los conceptos geométricos.
