Somas de quadrados e triângulos retângulos com lados inteiros
In this dissertation we will provide tools to answer when an integer can be written as a sum of squares. Using these tools, we will be able to determine given an integer x greater than 2, how many triangles rectangles within teger sides, having x as one of their legs, exist. We will also determine a...
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| Formato: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Brasil |
| Recursos: | Universidade Federal de Sergipe (UFS) |
| Repositorio: | Repositório Institucional da UFS |
| Idioma: | portugués |
| OAI Identifier: | oai:oai:ri.ufs.br:repo_01:riufs/11849 |
| Acesso em linha: | http://ri.ufs.br/jspui/handle/riufs/11849 |
| Access Level: | acceso abierto |
| Palavra-chave: | Matemática Geometria plana Triângulo Triângulos retângulos Números inteiros Soma de quadrados Rectangles triangles Integers Sum of squares CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Resumo: | In this dissertation we will provide tools to answer when an integer can be written as a sum of squares. Using these tools, we will be able to determine given an integer x greater than 2, how many triangles rectangles within teger sides, having x as one of their legs, exist. We will also determine all triangles rectangles tha thave x as hypotenuse, as a function of the decomposition of x in prime factors. |
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