A matemática descrita no papiro de Rhind

Detalhes bibliográficos
Autor(a) principal: Aguiar, Rafael Hamilton de Sousa
Data de Publicação: 2012
Idioma: por
Título da fonte: Repositório Institucional da UCB
Texto Completo: https://repositorio.ucb.br:9443/jspui/handle/10869/1315
Resumo: Matemática
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spelling Aguiar, Rafael Hamilton de Sousa2013-07-17T14:34:58Z2016-10-10T03:31:49Z2013-07-17T14:34:58Z2016-10-10T03:31:49Z2012-11-27AGUIAR, Rafael Hamilton de Sousa. A matemática descrita no papiro de Rhind. 2012. 35 f. Monografia (Graduação) - Universidade Católica de Brasília, Brasília, 2012.https://repositorio.ucb.br:9443/jspui/handle/10869/1315MatemáticaO presente trabalho tem por finalidade elucidar alguns dos problemas encontrados no papiro de Rhind. A análise desses problemas foi feita por meio da organização dos principais conteúdos e suas respectivas questões. Nessa análise destacam-se o uso de frações unitárias, as operações de multiplicação e divisão egípcia, resolução de equações lineares pelo método da falsa posição, área e volume de figuras geométricas, progressões, ideias de proporcionalidade e tabelas com valores usados nos cálculos pelos egípcios. Todo esse processo tem o intuito de expor de maneira sucinta como se davam os conhecimentos matemáticos no antigo Egito, principalmente na resolução de questões do cotidiano do povo. Com isso, pode-se concluir que mesmo tendo métodos antigos e até mesmo complexos, alguns algoritmos egípcios são aplicáveis na resolução de problemas atuais.The present study aims to elucidate some of the problems encountered in the papyrus Rhind. The analysis of these problems has been done through the organization of the main and their content issues. In this analysis we highlight the use of unit fractions, operations Egyptian multiplication and division, solving linear equations by the method false position, area and volume of geometric figures, progressions, ideas proportionality and tables with values ​​used in the calculations by the Egyptians. all this process aims to explain succinctly how to give knowledge mathematicians in ancient Egypt, especially in the resolution of issues of everyday life of the people. Thus, it can be concluded that even though older methods and even complex Egyptians some algorithms are applicable in solving current problems.Submitted by Kelson Anthony de Menezes (kelson@ucb.br) on 2013-07-17T14:32:04Z No. of bitstreams: 2 license_rdf: 20168 bytes, checksum: 288037d582f66c131a3b54761360a7bc (MD5) Rafael Hamilton de Sousa Aguiar.pdf: 1199674 bytes, checksum: 1f26852d4fc856dfa7e3e06d4c5dfb13 (MD5)Approved for entry into archive by Kelson Anthony de Menezes(kelson@ucb.br) on 2013-07-17T14:34:51Z (GMT) No. of bitstreams: 2 license_rdf: 20168 bytes, checksum: 288037d582f66c131a3b54761360a7bc (MD5) Rafael Hamilton de Sousa Aguiar.pdf: 1199674 bytes, checksum: 1f26852d4fc856dfa7e3e06d4c5dfb13 (MD5)Made available in DSpace on 2013-07-17T14:34:58Z (GMT). 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No. of bitstreams: 5 Rafael Hamilton de Sousa Aguiar.pdf: 1199674 bytes, checksum: 1f26852d4fc856dfa7e3e06d4c5dfb13 (MD5) license_url: 46 bytes, checksum: 0d2fb706760bf56ddf1358a832652ccf (MD5) license_text: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) license_rdf: 20168 bytes, checksum: 288037d582f66c131a3b54761360a7bc (MD5) license.txt: 1852 bytes, checksum: afde91a394542467876b0204f816ef0a (MD5) Previous issue date: 2012-11-27TextoUniversidade Católica de BrasíliaMatemáticaPapyrus Bremner-RhindEgitoHistóriaA matemática descrita no papiro de Rhindinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesisUniversidade Católica de Brasília, Brasilinfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da UCBinstname:Universidade Católica de Brasília (UCB)instacron:UCBORIGINALRafael Hamilton de Sousa Aguiar.pdfMonografiaapplication/pdf1199674https://200.214.135.178:9443/jspui/bitstream/10869/1315/1/Rafael%20Hamilton%20de%20Sousa%20Aguiar.pdf1f26852d4fc856dfa7e3e06d4c5dfb13MD51CC-LICENSElicense_urlapplication/octet-stream46https://200.214.135.178:9443/jspui/bitstream/10869/1315/2/license_url0d2fb706760bf56ddf1358a832652ccfMD52license_textapplication/octet-stream0https://200.214.135.178:9443/jspui/bitstream/10869/1315/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdfapplication/octet-stream20168https://200.214.135.178:9443/jspui/bitstream/10869/1315/4/license_rdf288037d582f66c131a3b54761360a7bcMD54LICENSElicense.txttext/plain1852https://200.214.135.178:9443/jspui/bitstream/10869/1315/5/license.txtafde91a394542467876b0204f816ef0aMD55TEXTRafael Hamilton de Sousa Aguiar.pdf.txtRafael Hamilton de Sousa Aguiar.pdf.txtExtracted texttext/plain50884https://200.214.135.178:9443/jspui/bitstream/10869/1315/6/Rafael%20Hamilton%20de%20Sousa%20Aguiar.pdf.txta19f61f7906c99a651ddbbc094edded0MD5610869/13152017-01-17 14:38:21.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Repositório de Publicaçõeshttps://repositorio.ucb.br:9443/jspui/
dc.title.pt_BR.fl_str_mv A matemática descrita no papiro de Rhind
title A matemática descrita no papiro de Rhind
spellingShingle A matemática descrita no papiro de Rhind
Aguiar, Rafael Hamilton de Sousa
Matemática
Papyrus Bremner-Rhind
Egito
História
title_short A matemática descrita no papiro de Rhind
title_full A matemática descrita no papiro de Rhind
title_fullStr A matemática descrita no papiro de Rhind
title_full_unstemmed A matemática descrita no papiro de Rhind
title_sort A matemática descrita no papiro de Rhind
author Aguiar, Rafael Hamilton de Sousa
author_facet Aguiar, Rafael Hamilton de Sousa
author_role author
dc.contributor.author.fl_str_mv Aguiar, Rafael Hamilton de Sousa
dc.subject.por.fl_str_mv Matemática
Papyrus Bremner-Rhind
Egito
História
topic Matemática
Papyrus Bremner-Rhind
Egito
História
dc.description.pt_BR.fl_txt_mv Matemática
dc.description.abstract.por.fl_txt_mv O presente trabalho tem por finalidade elucidar alguns dos problemas encontrados no papiro de Rhind. A análise desses problemas foi feita por meio da organização dos principais conteúdos e suas respectivas questões. Nessa análise destacam-se o uso de frações unitárias, as operações de multiplicação e divisão egípcia, resolução de equações lineares pelo método da falsa posição, área e volume de figuras geométricas, progressões, ideias de proporcionalidade e tabelas com valores usados nos cálculos pelos egípcios. Todo esse processo tem o intuito de expor de maneira sucinta como se davam os conhecimentos matemáticos no antigo Egito, principalmente na resolução de questões do cotidiano do povo. Com isso, pode-se concluir que mesmo tendo métodos antigos e até mesmo complexos, alguns algoritmos egípcios são aplicáveis na resolução de problemas atuais.
The present study aims to elucidate some of the problems encountered in the papyrus Rhind. The analysis of these problems has been done through the organization of the main and their content issues. In this analysis we highlight the use of unit fractions, operations Egyptian multiplication and division, solving linear equations by the method false position, area and volume of geometric figures, progressions, ideas proportionality and tables with values ​​used in the calculations by the Egyptians. all this process aims to explain succinctly how to give knowledge mathematicians in ancient Egypt, especially in the resolution of issues of everyday life of the people. Thus, it can be concluded that even though older methods and even complex Egyptians some algorithms are applicable in solving current problems.
description Matemática
publishDate 2012
dc.date.issued.fl_str_mv 2012-11-27
dc.date.accessioned.fl_str_mv 2013-07-17T14:34:58Z
2016-10-10T03:31:49Z
dc.date.available.fl_str_mv 2013-07-17T14:34:58Z
2016-10-10T03:31:49Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bachelorThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv AGUIAR, Rafael Hamilton de Sousa. A matemática descrita no papiro de Rhind. 2012. 35 f. Monografia (Graduação) - Universidade Católica de Brasília, Brasília, 2012.
dc.identifier.uri.fl_str_mv https://repositorio.ucb.br:9443/jspui/handle/10869/1315
identifier_str_mv AGUIAR, Rafael Hamilton de Sousa. A matemática descrita no papiro de Rhind. 2012. 35 f. Monografia (Graduação) - Universidade Católica de Brasília, Brasília, 2012.
url https://repositorio.ucb.br:9443/jspui/handle/10869/1315
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