<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0124-2253</journal-id>
<journal-title><![CDATA[Revista científica]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Cient.]]></abbrev-journal-title>
<issn>0124-2253</issn>
<publisher>
<publisher-name><![CDATA[Universidad Distrital Francisco José de Caldas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0124-22532020000200216</article-id>
<article-id pub-id-type="doi">10.14483/23448350.14580</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Transformación del método cartesiano en las ediciones de la geometría de Bernard Lamy]]></article-title>
<article-title xml:lang="en"><![CDATA[Transformation of the cartesian method in the editions of the Geometry of Bernard Lamy]]></article-title>
<article-title xml:lang="pt"><![CDATA[Transformação do método cartesiano nas edições da Geometria de Bernard Lamy]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bello-Chávez]]></surname>
<given-names><![CDATA[Jhon Helver]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Distrital Francisco José de Caldas  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2020</year>
</pub-date>
<numero>38</numero>
<fpage>216</fpage>
<lpage>228</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0124-22532020000200216&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0124-22532020000200216&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0124-22532020000200216&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este artículo presenta una contribución a la historia de la enseñanza del álgebra, el estudio del método cartesiano de resolución de problemas geométricos en las diferentes ediciones del libro Les Élémens de Géométrie (Lamy, 1685). Este libro de texto circuló en Francia durante casi un siglo, se usó en los colegios de la congregación de los oratorianos y estableció un modelo de enseñanza de la geometría que desarrolló el análisis propuesto en la Géométrie (Descartes, 1637). Al analizar la sección sobre el método en las ediciones del libro desde 1685 hasta 1756 se evidenció que la enseñanza se concentró en desarrollar una técnica por medio de reglas para usar el análisis. En cada edición la importancia de los diagramas en la aplicación del método fue disminuyendo y la construcción de la solución de ecuaciones de primer y segundo grado fue perdiendo importancia. Como cartesiano, Lamy recurrió al principio de simplicidad de esta filosofía y del método, por lo tanto, usó relaciones entre líneas descritas por medio de la proporcionalidad y la semejanza de triángulos como medio para organizar sus justificaciones.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This article presents a contribution to the history of the teaching of algebra, the study of the Cartesian method of solving geometric problems in the different editions of the book Les Élémens de Géométrie (Lamy, 1685). This textbook circulated in France for almost a century, was used in colleges of the congregation of the Oratorians and established a teaching model of geometry that developed the analysis proposed in the Géométrie (Descartes, 1637). When analyzing the section on the method in the editions of the book from 1685 to 1756 it was evident that the teaching focused on developing a technique by means of rules to use the analysis. In each edition the importance of the diagrams in the application of the method was decreasing and the construction of the solution of equations of first and second degree was losing importance. As a Cartesian, Lamy resorted to the simplicity principle of this philosophy and method, therefore, he used relationships between lines described by means of proportionality and the similarity of triangles as a means to organize their justifications.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Este trabalho apresenta uma contribuição para a história do ensino de álgebra, o estudo do método cartesiano de resolver problemas geométricos nas diferentes edições do livro Les Élémens de Géométrie (Lamy, 1685). Este livro circulou na França por quase um século, foi usado nas escolas da Congregação do Oratório e estabeleceu um modelo de ensino da geometria que se desenvolveu a análise proposta Géométrie (Descartes, 1637). Ao analisar a seção sobre o método nas edições do livro de 1685 a 1756, ficou evidente que o ensino se concentrava em desenvolver uma técnica por meio de regras para usar a análise. Em cada edição a importância dos diagramas na aplicação do método foi diminuindo e a construção da solução de equações de primeiro e segundo grau foi perdendo importância. Como cartesiano Lamy virou o princípio de simplicidade desta filosofia e método, portanto, ele utilizado relações entre as linhas descritas pela proporcionalidade e triângulos semelhantes, como um meio para organizar as suas justificações.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[historia de la matemática]]></kwd>
<kwd lng="es"><![CDATA[enseñanza del álgebra]]></kwd>
<kwd lng="es"><![CDATA[educación siglo XVIII]]></kwd>
<kwd lng="es"><![CDATA[resolución de problemas]]></kwd>
<kwd lng="es"><![CDATA[educación matemática.]]></kwd>
<kwd lng="en"><![CDATA[history of mathematics]]></kwd>
<kwd lng="en"><![CDATA[teaching of algebra]]></kwd>
<kwd lng="en"><![CDATA[education XVIII century]]></kwd>
<kwd lng="en"><![CDATA[problem solving]]></kwd>
<kwd lng="en"><![CDATA[mathematics education.]]></kwd>
<kwd lng="pt"><![CDATA[história da matemática]]></kwd>
<kwd lng="pt"><![CDATA[ensino de álgebra]]></kwd>
<kwd lng="pt"><![CDATA[educação do século XVIII]]></kwd>
<kwd lng="pt"><![CDATA[resolução de problemas]]></kwd>
<kwd lng="pt"><![CDATA[educação matemática.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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