This actual document represents an historic and graphical effort, since it sets out a focus integrated with a methodology that involves different variables: social, cultural and institutional, all which allow the analysis of the causing conditions of the flows of mathematical knowledge diffusion that were sent from Europe for their dissemination into the Mexican schools, mainly on those established between Centuries Eighteen and Nineteen, such as El Colegio de San Ildefonso and Escuela Nacional Preparatoria. Each section of the work confers unpublished elements that shape networks of historical knowledge, which are enough to fill up the lack of information that had not been dealt with up to this day. In general, it is a brief contribution that explain some of the characteristics of our teaching traditions and this can be a baseline for those who are interested on the problems of the mathematical didactics, specially for those who deal with de design of Learning Situations that minimize the problems of the teaching of mathematical concepts at the classroom. It also offers elements for going deeper in the epistemological and conceptual components of the differential calculus, and translates some historic facts that may be important for the researchers of different disciplines.