Polígonos de Reuleaux

• Ano de defesa: 2015
• Autor(a) principal: Rodrigues, André Soares
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Matemática; Programa de Pós-Graduação em Matemática; UFPB
• Palavras-chave em Português: Polígono; Polygons; Largura; Geometria; Width; Geometry; CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/8032

In this paper, we study a special class of planar curves, convex curves of constant width. Moreover show basic examples of these curves, starting with the Reuleaux triangle that indeed is what has the smallest area when the constant width is de ned unlike the circle has the largest area and is also constant width. We generalize the construction of the Reuleaux triangle to regular polygons with odd numbers of sides that are called Reuleaux polygons. Finally we propose activities for the polygons of study in primary and secondary education as a suggestion for a school education, by reference to the polygons of Reuleaux in particular the Reuleaux triangle.