Navegando por Autor "Queiroz, Yasmin Laryssa Lima de Omena"

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    Propriedades geométricas e analíticas da família das cicloides: um estudo comparativo
    (2025-07-11) Queiroz, Yasmin Laryssa Lima de Omena; Vasconcelos, Cleverton da Silva; http://lattes.cnpq.br/8600809859832837; Silva, Vanessa Lúcia da; https://orcid.org/0009-0001-9067-8936; http://lattes.cnpq.br/4017185539776065; Souza, Ana Paula Dantas de; http://lattes.cnpq.br/0855037244655705; Costa, Valdir Soares; http://lattes.cnpq.br/0249295123723616
    This work aims to investigate the geometric and analytical properties of the cycloid family, including variations such as the common cycloid, curtate cycloid, and prolate cycloid. The research is conducted through a comparative study that covers both theoretical and practical aspects of these curves, analyzing their parametric equations, derivatives, integrals, and geometric characteristics. Additionally, the study explores historical and contemporary applications of cycloids in contexts such as physics, engineering, and applied mathematics, highlighting classical problems such as the brachistochrone and the tautochrone. The work seeks to contribute to a deeper understanding of these curves from both mathematical and educational perspectives, serving as a resource for teaching differential and integral calculus.