El Concepte de límit de Newton a Cauchy : entre la geometria i l'àlgebra i el paper dels signes [Primera part] Authors Gert Schubring Abstract The concept of limit is constitutive for the differential and integral calculus. Yet, its historical emergence has not been closely studied. As an alternative to infinitesimal approaches, it had first been introduced by Newton, but without conceptual reflections and without an operational technique; it remained tied to geometrical-kinematical contexts. The paper studies the slow development of the concept during the eighteenth century, and in particular the first definitions and their gradual steps towards algebraization. Thanks to the approach to investigate the contributions within the contemporaneousmathematical communities at large, apparentlymarginal authors reveal to achieve considerable steps towards an algebraized operational theory of limits. Yet, this process proves not to be a continuous one and depending on epistemologies differing over various countries and communities. The analysis finalizes in contrasting two approaches of the 1820s revealing such differing visions: Cauchy in France and Dirksen in Germany. This first part of the paper presents the conceptual frame of that known as the algebraization process and analizes wich way Newton presents this process in the concept of limithow to usesMaclaurin in response to Berkeley and dAlembert in the Enciclopèdie to enter after in the limit as approach. It closes with the start of the algebraization of this new concept: the limit. It opens the door to the second part which will publish them in the next issue. Downloads Download data is not yet available. Downloads Text complet (Català) Published 2013-05-17 Issue No. 32: abril 2013 Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal NouBiaix, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to NouBiaix.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.NouBiaix is not responsible for the ideas and opinions expressed by the authors of the published articles.