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Educação Matemática Debate

versión On-line ISSN 2526-6136

Resumen

SILVA JUNIOR, Francimar Miguel da; SANTOS, Andressa Gomes dos  y  PEREIRA, Ana Carolina Costa. The Mathematics behind the chord scale contained in the Sector by John Worgan (1697). Ed. Mat. Deb. [online]. 2022, vol.6, n.12, e15.  Epub 01-Oct-2024. ISSN 2526-6136.  https://doi.org/10.46551/emd.v6n12a15.

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 As a research methodology, a descriptive qualitative approach was used, using historical documents as the main source of consultation.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.

Palabras clave : Chord Scale; Geometric Concepts; Worgan Sector; Mathematical Instruments..

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