<?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>2526-6136</journal-id>
<journal-title><![CDATA[Educação Matemática Debate]]></journal-title>
<abbrev-journal-title><![CDATA[Ed. Mat. Deb.]]></abbrev-journal-title>
<issn>2526-6136</issn>
<publisher>
<publisher-name><![CDATA[Universidade Estadual de Montes Claros]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2526-61362022000100114</article-id>
<article-id pub-id-type="doi">10.46551/emd.v6n12a15</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[A Matemática por trás da escala das cordas contida no Setor de John Worgan (1697)]]></article-title>
<article-title xml:lang="en"><![CDATA[The Mathematics behind the chord scale contained in the Sector by John Worgan (1697)]]></article-title>
<article-title xml:lang="es"><![CDATA[Las Matemáticas detrás de la escala de cuerdas contenidas en el Sector por John Worgan (1697)]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Silva Junior]]></surname>
<given-names><![CDATA[Francimar Miguel da]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[Andressa Gomes dos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pereira]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade Estadual do Ceará  ]]></institution>
<addr-line><![CDATA[ Ceará]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidade Estadual do Ceará  ]]></institution>
<addr-line><![CDATA[ Ceará]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidade Estadual do Ceará  ]]></institution>
<addr-line><![CDATA[ Ceará]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>01</month>
<year>2022</year>
</pub-date>
<volume>6</volume>
<numero>12</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S2526-61362022000100114&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S2526-61362022000100114&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S2526-61362022000100114&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: Este artigo tem como objetivo apresentar a Matemática envolvida na construção da escala das cordas inscrita no instrumento matemático Setor, exposto no tratado A short treatise of the description of the sector, de John Worgan, de 1697. O Setor de Worgan possui nove escalas, a saber: das linhas iguais, dos senos, das tangentes, das secantes, dos polígonos, dos números artificiais, dos senos artificiais, das tangentes artificiais e das cordas. A última é utilizada para a resolução de problemas de natureza geométrica, principalmente, para encontrar ângulos e dividir a circunferência em partes iguais. Como metodologia de pesquisa, fez-se uso de uma abordagem qualitativa descritiva, utilizando documentos históricos como fonte principal de consulta. Sua construção possibilita o desenvolvimento de alguns conhecimentos geométricos, que podem auxiliar na compreensão de conceitos, tais como raio, diâmetro, arco de circunferência, ângulo e corda, entre outros, para alunos da Educação Básica.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This article aims to present the Mathematics involved in the construction of the string scale inscribed in the mathematical instrument, sector, exposed in John Worgan's 1697 treatise A short treatise of the description of the sector. Worgan's sector has nine scales, namely: equal lines, sines, tangents, secants, polygons, artificial numbers, artificial sines, artificial tangents, and chords. The last one is used to solve problems of a geometric nature, mainly to find angles and divide the circumference into equal parts. As a research methodology, a descriptive qualitative approach was used, using historical documents as the main source of consultation. Its construction allows the development of some geometric knowledge that can help in the understanding of concepts, such as radius, diameter, arc of circumference, angle and chord, among others, for Basic Education students.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen:  Este artículo tiene como objetivo presentar las Matemáticas involucradas en la construcción de la escala de cuerdas inscrita en el instrumento matemático, sector, expuesto en el tratado de John Worgan de 1697 Un breve tratado de la descripción del sector. El sector de Worgan tiene nueve escalas, a saber: líneas iguales, senos, tangentes, secantes, polígonos, números artificiales, senos artificiales, tangentes artificiales y cuerdas. Este último se utiliza para resolver problemas de carácter geométrico, principalmente para encontrar ángulos y dividir la circunferencia en partes iguales. Como metodología de investigación se utilizó un enfoque cualitativo descriptivo, utilizando documentos históricos como principal fuente de consulta. Su construcción permite el desarrollo de algunos conocimientos geométricos que pueden ayudar en la comprensión de conceptos como radio, diámetro, arco de circunferencia, ángulo y cuerda, entre otros, para los estudiantes de Educación Básica.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Escala das Cordas]]></kwd>
<kwd lng="pt"><![CDATA[Conceitos Geométricos]]></kwd>
<kwd lng="pt"><![CDATA[Setor de Worgan]]></kwd>
<kwd lng="pt"><![CDATA[Instrumentos Matemáticos.]]></kwd>
<kwd lng="en"><![CDATA[Chord Scale]]></kwd>
<kwd lng="en"><![CDATA[Geometric Concepts]]></kwd>
<kwd lng="en"><![CDATA[Worgan Sector]]></kwd>
<kwd lng="en"><![CDATA[Mathematical Instruments.]]></kwd>
<kwd lng="es"><![CDATA[Escala de Cuerdas]]></kwd>
<kwd lng="es"><![CDATA[Conceptos Geométricos]]></kwd>
<kwd lng="es"><![CDATA[Setor de Worgan]]></kwd>
<kwd lng="es"><![CDATA[Instrumentos Matemáticos.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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