<?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>2448-5705</journal-id>
<journal-title><![CDATA[Inter disciplina]]></journal-title>
<abbrev-journal-title><![CDATA[Inter disciplina]]></abbrev-journal-title>
<issn>2448-5705</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Centro de Investigaciones Interdisciplinarias en Ciencias y Humanidades]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2448-57052020000200047</article-id>
<article-id pub-id-type="doi">10.22201/ceiich.24485705e.2020.21.75147</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Acordes vitruvianos en Leonardo]]></article-title>
<article-title xml:lang="en"><![CDATA[Vitruvian chords in Leonardo]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez E.]]></surname>
<given-names><![CDATA[J. Rafael]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Ciencias Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</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>
<volume>8</volume>
<numero>21</numero>
<fpage>47</fpage>
<lpage>74</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-57052020000200047&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-57052020000200047&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-57052020000200047&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En el Libro III de De Architectura, Vitruvio describió lo que a su parecer debería medir el hombre. Quince siglos más tarde, recuperado este texto y puesto en manos de Leonardo da Vinci, el modelo vitruviano se dice encontró quien lo ilustrara. El resultado fue el &#8216;hombre de Vitruvio&#8217;, la imagen convertida en símbolo de la cultura pop y la más famosa de nuestro tiempo, según muchos autores. Para quienes han abordado el estudio de esta imagen, sea desde una perspectiva histórico-filosófica, físico-matemática o artístico-musical, es evidente la complejidad del tema y que su entendimiento nos enfrenta con múltiples interrogantes. El texto que aquí se presenta explora algunos de los elementos más relevantes en torno de esta imagen y en particular se ocupa de analizar algunas de las propuestas que se han presentado para explicar el proceso de elaboración geométrica de esta maravillosa imagen. La conclusión es que el enigma permanece como tal.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In Book III of De Architectura, Vitruvius described what in his opinion should be the measures of man. Fifteen centuries later, this text was recovered and when put in the hands of Leonardo da Vinci, it is said the Vitruvian model finally found an illustrator. The result was the &#8216;Vitruvian man&#8217;, the image that has become a symbol of pop culture and the most famous of our time, according to many authors. For those who have approached the study of this image, whether from a historical-philosophical, physical-mathematical or artistic-musical perspective, the complexity of the subject is evident and the efforts to explain it have floundered with multiple questions. The text presented here addresses some of the most relevant issues around this image and in particular deals with analyzing some of the proposals that have been submitted to explain the process of geometric elaboration of this wonderful image. The final conclusion is that the riddle is still waiting to be solved.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Leonardo da Vinci]]></kwd>
<kwd lng="es"><![CDATA[Vitruvio]]></kwd>
<kwd lng="es"><![CDATA[uomo vitruviano]]></kwd>
<kwd lng="es"><![CDATA[proporción]]></kwd>
<kwd lng="es"><![CDATA[sección áurea]]></kwd>
<kwd lng="en"><![CDATA[Leonardo da Vinci]]></kwd>
<kwd lng="en"><![CDATA[Vitruvius]]></kwd>
<kwd lng="en"><![CDATA[uomo vitruviano]]></kwd>
<kwd lng="en"><![CDATA[proportion]]></kwd>
<kwd lng="en"><![CDATA[Golden section]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Agrippa]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Brill]]></surname>
<given-names><![CDATA[E. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[De occulta philosophia, libri tres]]></source>
<year>1992</year>
<publisher-loc><![CDATA[Tucson, Arizona ]]></publisher-loc>
<publisher-name><![CDATA[V. Perrone Compagni]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bossi]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Del Cenacolo di Leonardo da Vinci libri quattro]]></source>
<year>1810</year>
<publisher-loc><![CDATA[Milano ]]></publisher-loc>
<publisher-name><![CDATA[Stamperia Reale]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Corbalán]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[La proporción áurea. El lenguaje matemático de la belleza]]></source>
<year>2016</year>
<publisher-name><![CDATA[National Geographic]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Della Mirandola]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Pico Della Mirandola: Oration on the dignity of man: a new translation and commentary]]></source>
<year>2012</year>
<publisher-loc><![CDATA[Cambridge ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Field]]></surname>
<given-names><![CDATA[J. V.]]></given-names>
</name>
</person-group>
<source><![CDATA[The invention of infinity: mathematics and art in the Renaissance]]></source>
<year>1997</year>
<publisher-loc><![CDATA[Oxford ]]></publisher-loc>
<publisher-name><![CDATA[Oxford University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Giorgi]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[De Harmonia mundi totius cantica tria]]></source>
<year>2008</year>
<publisher-loc><![CDATA[Bernardino Vitali ]]></publisher-loc>
<publisher-name><![CDATA[Universita degli Studi di Padova]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Heydenreich]]></surname>
<given-names><![CDATA[L. H.]]></given-names>
</name>
</person-group>
<source><![CDATA[I disegni di Leonardo da Vinci e della sua scuola: conservati nella galleria dell&#8217;Accademia di Venezia]]></source>
<year>1949</year>
<publisher-loc><![CDATA[Florencia ]]></publisher-loc>
<publisher-name><![CDATA[Lange Demsch &amp; C.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kenneth]]></surname>
<given-names><![CDATA[D. Keele]]></given-names>
</name>
<name>
<surname><![CDATA[Pedretti]]></surname>
<given-names><![CDATA[Carlo]]></given-names>
</name>
</person-group>
<source><![CDATA[Leonardo da Vinci. Atlas der anatomischen Studien in der Sammlung ihrer Majestät Queen Elisabeth II in Windsor Castle. Bd. 1: Leonardos anatomisch-physiologische Untersuchungen des menschlichen Körpers]]></source>
<year>1980</year>
<publisher-loc><![CDATA[Londres ]]></publisher-loc>
<publisher-name><![CDATA[Gütersloh]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[March]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Wittkower]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Architectonics of Humanism: Essays on number in architecture]]></source>
<year>1998</year>
<publisher-loc><![CDATA[Londres ]]></publisher-loc>
<publisher-name><![CDATA[Academy Editions]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pedretti]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Leonardo architetto]]></source>
<year>1981</year>
<publisher-name><![CDATA[Electa Editrice]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Popham]]></surname>
<given-names><![CDATA[A. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[The drawings of Leonardo da Vinci]]></source>
<year>1973</year>
<publisher-loc><![CDATA[Nueva York ]]></publisher-loc>
<publisher-name><![CDATA[Reynal &amp; Hitchcock]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Richter]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[The literary works of Leonardo da Vinci]]></source>
<year>1883</year>
<publisher-loc><![CDATA[Londres ]]></publisher-loc>
<publisher-name><![CDATA[Sampson Low, Marston, Searly &amp; Rivington]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Richter]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[The literary works of Leonardo da Vinci]]></source>
<year>1970</year>
<publisher-name><![CDATA[Phaidon]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Panofsky]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Le Codex Huygens et la théorie de l&#8217;art de Léonard de Vinci]]></source>
<year>1996</year>
<publisher-loc><![CDATA[París ]]></publisher-loc>
<publisher-name><![CDATA[Flammarion]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pedretti]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[The literary works of Leonardo da Vinci]]></source>
<year>1977</year>
<publisher-loc><![CDATA[California ]]></publisher-loc>
<publisher-name><![CDATA[University of California Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Takashi]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8216;Vitruvian man&#8217; by Leonardo da Vinci and the golden ratio]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Torrini]]></surname>
<given-names><![CDATA[A. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Leonardo: l&#8217;uomo vitruviano fra arte e scienza]]></source>
<year>2009</year>
<publisher-loc><![CDATA[Venecia ]]></publisher-loc>
<publisher-name><![CDATA[Marsilio Editori]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zöllner]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Agrippa, Leonardo and the Codex Huygens]]></article-title>
<source><![CDATA[Journal of the Warburg and Courtauld Institutes]]></source>
<year>1985</year>
<volume>48</volume>
<page-range>229-34</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Valli]]></surname>
<given-names><![CDATA[F. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Leonardo: il sapere costruttivo nel disegno della figura umana]]></source>
<year>2011</year>
<publisher-loc><![CDATA[Milán ]]></publisher-loc>
<publisher-name><![CDATA[Silvana editoriale]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Vitruvian Man by Leonardo da Vinci]]></article-title>
<source><![CDATA[WORLD-MYSTERIES.com]]></source>
<year></year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
