2025-05-072025-05-072025-03-28SANTOS, Alexandre da Silveira dos. Aplicações de Curvaturas e Geodésicas na Superfície: Semi-Cicloidal Cilíndrica. Orientador: Amilcar Montalban Sayago. 2025. 58 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Matemática, Campus Universitário de Salinópolis, Universidade Federal do Pará, Salinópolis, 2025. Disponível em: https://bdm.ufpa.br/handle/prefix/8091. Acesso em:.https://bdm.ufpa.br/handle/prefix/8091It is shown that the application of Theorems on Gaussian Curvature and Mean Curvature of implicit surfaces, such as the Cylindrical Semi-Cycloidal surface, is a simpler and more efficient process than those used in a Differential Geometry (DG) course.. The work aimed to present these theorems and apply them to solving the calculation of the curvatures of implicit surfaces, such as: the Cone, the Ellipsoid and the Cylindrical Semi-Cycloid. In addition, it is also shown the calculation of the systems of differential equations of the geodesics of surfaces with this characteristics. During this study, some preliminary concepts of Differential Calculus and Linear Algebra were explored, as well as the fundamental topics in the study of Surfaces and Geodesics in the context of GD.Acesso AbertoCurvatura Gaussiana e MédiaGeodésicasSemi-Cicloidal CilíndricaGaussian and Mean CurvatureGeodesicsCylindrical Semi-CycloidCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATrabalho de Curso - Graduação - MonografiaAttribution-NonCommercial-NoDerivatives 4.0 International