En torno a las designaciones de raíz y sus notaciones: una muestra de la consolidación del álgebra sincopada en el Renacimiento hispano

Abstract

The objective of this paper is, on one hand, study the algebraic terminology relating to the different designations of the roots and, in the other hand, highlight the use of some abbreviations in mathematical language, not only as a linguistic mechanism to economize written discourse, but also which resulted in the development of algebra, —marked, from its inception, by a purely rhetorical style­—, to eminently symbolic science that has emerged.

In this evolutionary process from the word to the symbol, the Renaissance stage, characterized by alternating the words coined by the Italian vs. German algebraists and by the proliferation of abbreviations in algebraic notation (for example, for the expression of the roots), is essential; reason for we will review, analyze and study these questions in four of the most representatives mathematical treatises of the Spanish sixteenth century: Conpusición de la arte de la Arismética y de Geometría (1512) by Juan de Ortega, Libro primero de Arithmética algebrática (1552) by Marco Aurel, Arithmética práctica y speculativa (1562) by Juan Pérez de Moya and Libro de Álgebra en Arithmética y Geometría (1567) by Pedro Núñez Salaciense.

DOI http://dx.doi.org/10.15304/verba.42.1708