Problemas de máximo e mínimo na geometria euclidiana
This work presents a research on problems of maxima and minima of the Euclidean geometry. Initially we present some preliminary results followed by statements that in essence use basic concepts of geometry. Below are some problems of maximizing area and minimizing perimeter of triangles and convex p...
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| Tipo de documento: | dissertação |
| Estado: | Versão publicada |
| Data de publicação: | 2013 |
| País: | Brasil |
| Recursos: | Universidade Federal da Paraíba (UFPB) |
| Repositório: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | português |
| OAI Identifier: | oai:repositorio.ufpb.br:tede/7390 |
| Acesso em linha: | https://repositorio.ufpb.br/jspui/handle/tede/7390 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Matemática Geometria euclidiana Desigualdades isoperimétrica Euclidean geometry Maxima and Minima Isoperimetric inequality CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Resumo: | This work presents a research on problems of maxima and minima of the Euclidean geometry. Initially we present some preliminary results followed by statements that in essence use basic concepts of geometry. Below are some problems of maximizing area and minimizing perimeter of triangles and convex polygons, culminating in a proof of the isoperimetric inequality for polygons and review the general case. Solve some classical problems of geometry that are related to outliers and present other problems as proposed. |
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