Geometry and arithmetic in the medieval traditions of Euclid's Elements: A view from Book II

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים


This article explores the changing relationships between geometric and arithmetic ideas in medieval Europe mathematics, as reflected via the propositions of Book II of Euclid's Elements. Of particular interest is the way in which some medieval treatises organically incorporated into the body of arithmetic results that were formulated in Book II and originally conceived in a purely geometric context. Eventually, in the Campanus version of the Elements these results were reincorporated into the arithmetic books of the Euclidean treatise. Thus, while most of the Latin versions of the Elements had duly preserved the purely geometric spirit of Euclid's original, the specific text that played the most prominent role in the initial passage of the Elements from manuscript to print-i.e., Campanus' version-followed a different approach. On the one hand, Book II itself continued to appear there as a purely geometric text. On the other hand, the first ten results of Book II could now be seen also as possibly translatable into arithmetic, and in many cases even as inseparably associated with their arithmetic representation.

שפה מקוריתאנגלית
עמודים (מ-עד)637-705
מספר עמודים69
כתב עתArchive for History of Exact Sciences
מספר גיליון6
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - נוב׳ 2013
פורסם באופן חיצוניכן

טביעת אצבע

להלן מוצגים תחומי המחקר של הפרסום 'Geometry and arithmetic in the medieval traditions of Euclid's Elements: A view from Book II'. יחד הם יוצרים טביעת אצבע ייחודית.

פורמט ציטוט ביבליוגרפי