Os artigos de Euler sobre os números amigáveis

Among the many methodological resources that the mathematics teacher can use in the classroom, we can cite the History of Mathematics which has contributed to the development of activities that promotes students curiosity about mathematics and its history. In this regard, the present dissertation aims to translate and analyze, mathematically and historically, the three works of Euler about amicable numbers that were writed during the Eighteenth century with the same title: De numeris amicabilibus. These works, despite being written in 1747 when Euler lived in Berlin, were published in different times and places. The first, published in 1747 in Nova Acta Eruditorum and which received the number E100 in the Eneström index, summarizes the historical context of amicable numbers, mentions the formula 2nxy & 2nz used by his precursors and presents a table containing thirty pairs of amicable numbers. The second work, E152, was published in 1750 in Opuscula varii argument. It is the result of a comprehensive review of Euler s research on amicable numbers which resulted in a catalog containing 61 pairs, a quantity which had never been achieved by any mathematician before Euler. Finally, the third work, E798, which was published in 1849 at the Opera postuma, was probably the first among the three works, to be written by Euler

Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)

Construções com tópico marcado em cartas pessoais brasileiras dos séculos XVIII, XIX E XX

This dissertation is a research on the marked topic construction (CT) in Brazilian personal letters from eighteenth, nineteenth and twentieth centuries. The goal of our research is to verify if CT are present in the writing of Brazilians born in the centuries in question. Our research focus is based on the assumptions of generative theory (CHOMSKY 1981; 1986), which states that grammar is internalized in the mind / brain of the writers, with the emphasis on studies of grammatical change, as pointed texts by Paixão de Sousa (2004), Carneiro (2005); Galves, Namiuti and Paixão de Sousa (2006) and Martins (2009). Our corpus was extracted from Projeto Para a História do Português Brasileiro (PHPB) and Cartas Brasileiras coletânea de fontes para o estudo do português. We selected forty-six correspondents who should be inserted into the two criteria set out in this research: to be Brazilian and be born in the centuries mentioned above, so that we could find legitimate topic constructions of PB. This work is based on researches by Pontes (1987), Mateus et al. (2003), Araujo (2006, 2009), Berlinck, Duarte and Oliveira (2009), which actively support us in the study of this linguistic phenomenon in Portuguese. The results show that the marked topic construction in our corpus appear on the writing of Brazilians since the second half of the eighteenth century, while the typical constructions in Brazilian Portuguese locative topic, subject topic and copy topic - are already reflected in the I-language of the writers born in the second half of the nineteenth century and the first of the twentieth century

Infografia interativa na redação: o processo de produção no Diário do Nordeste à luz da teoria do jornalismo

The infographics historically experience the process of evolution of journalism, from the incipient models handmade in the eighteenth century to the inclusion of computers and sophisticated software today. In order to face the advent of TV against of the partiality readers of the printed newspaper, or to represent the Gulf War, where not allowed photography, infographics reaches modern levels of production and publication. The technical devices which enabled the infographics to evolve the environment of the internet, with conditions for the manipulation of the reader, incorporating video, audio and animations, so styling of interactive infographics. These digital models of information visualization recently arrived daily in the northeast and on their respective web sites with features regionalized. This paper therefore proposes to explore and describe the processes of producing the interactive infographics, taking the example of the Diário do Nordeste, Fortaleza, Ceará, whose department was created one year ago. Therefore, based on aspects that guide the theory of journalism, as newsmaking, filters that focus on productive routine (gatekeeping) and the construction stages of the news. This research also draws on the theoretical framework on the subject, in concepts essential characteristics of computer graphics, as well as the methodological procedures and systematic empirical observations in production routines of the newsroom who can testify limitations and / or advances

Teias de caridade e o lugar social dos expostos da Freguesia de Nª Srª da Apresentação: capitania do Rio Grande do Norte, século XVIII

The abandonment of newborn children is a reality nowadays. This reality enables us to discuss this issue in other temporalities, in all kinds of societies. Thus, this work aims to demonstrate how the population that lived at Freguesia de Nossa Senhora da Apresentação, a civil parish at a Rio Grande do Norte captaincy, socially placed the abandoned newborn during in the eighteenth century. These newborn were called exposed ones at the time and were inserted in a regional Exposed Circle. The research also discussed how the local Council assembly sheltered these newborn. For research development the following manuscript documents were used: baptism, wedding and demise documents at Freguesia de Nossa Senhora da Apresentação as well as the first Book of Records if the matrix church at this civil parish. The research also considered the terms of the Council assembly. Some printed documents were used such as Philippine Ordainments, the First Constitutions of the Archbishop in 1707 including the Lunario contents as well as texts from André João Antonil and Henry Koster. In the analysis reference work related to Social History was used. Thus, it is possible confirm that there was construction of socially accepted places for these exposed on behalf of the colonist at the region

Liberdades possíveis em espaços periféricos: escravidão e alforria no termo da vila de Arez (séculos xviii e xix)

This paper discusses aspects of the slavery and emancipations in the village of Arez between the last quarter of the eighteenth century and the first decades of the nineteenth century. It seeks to identify the profile of the slaves and the emancipation possibilities in a peripheral region with few commercial activities, given that the most of the approaches about manumission consider towns and cities where the economic dynamics ware more pronounced, as places of higher possibilities of slaves working in diverse activities that allowed them to accumulate a reserve fund and thus buy their freedom. Therefore it was necessary to raise evidences of slavery in the case study, which was based on surveys of the eighteenth century, and the first decades of the nineteenth century and some population maps and civil records related to the early nineteenth century. The information about the manumission acts were analyzed based on writs of freedom registered in the village of Arez between 1774 and 1827 due to the absence of other documents about it. The registry books include all the documents of the Arez community; so, it was possible to observe what happened in rural localities, in the town, in the headquarters of the district and in the village of Goianinha. Based on information from the documents, it was possible to address some aspects of slavery like the predominant types of groups, the possible activities in which slaves were inserted and the profile of the freed slaves, the emancipation modes and, therefore, discuss the possible relations ship between the colonial space and manumissions and between masters and slaves

Dualidades nas propostas editoriais de música antiga brasileira

A partir da primeira publicação de caráter musicológico de música brasileira do século XVIII, realizada em 1951 por Francisco Curt Lange (Archivo de Música Religiosa de la Capitania Geral das Minas Gerais), surgiram iniciativas brasileiras que manifestaram as mais variadas propostas editoriais. O estudo das edições produzidas no país nas últimas cinco décadas revela várias dualidades, dentre as quais as dez mais importantes serão abordadas neste artigo: 1) publicação ou circulação informal; 2) Gesamtausgaben ou Denkmähler; 3) edição acadêmica ou edição prática; 4) fontes de um único acervo ou de vários; 5) obra isolada ou coletânea; 6) trabalho individual ou trabalho de equipe; 7) obras inéditas ou já divulgadas; 8) financiamento privado ou de instituições governamentais; 9) apenas partitura ou partituras e partes; 10) divulgação em papel ou em meios eletrônicos. Além da identificação dessas dualidades, o objetivo deste artigo é tentar compreender o seu significado e relacioná-las às atuais perspectivas editoriais da música antiga no país.

A aurora do (forte)piano

Este artigo revisita a aurora do fortepiano, instrumento que se tornaria ponto de convergência no fazer musical de fins do século XVIII até meados do XX, e apresenta referências documentais sobre o início da invenção da mecânica de Bartolomeo Cristofori, bem como documentações de outros projetos não Cristoforianos.

TL, OSL and C-14 dating results of the sediments and bricks from mummified nuns' grave

Este artigo apresenta os resultados de datação por TL e OSL de solos, e fragmentos de tijolos de um túmulo, que foi ocupado por duas freiras mumificadas encontradas no Mosteiro da Luz, localizado no Estado de São Paulo, Brasil. As idades encontradas por TL e OSL foram comparadas às obtidas a partir de C-14 dos colágenos contidos em amostras de osso das múmias. A maioria das idades obtidas são do século XVIII. A espectroscopia de radiação-gama foi utilizada para avaliar concentrações de radioisótopos naturais nas amostras e para calcular as taxas de dose anual que resultaram em 3,0 a 5,3 Gy/kano. As concentrações radioativas são próximas daquelas obtidas através de Análise por Ativação de Nêutrons. Os conteúdos de elementos U, Th e Ce são superiores aos encontrados na maioria dos sedimentos.

A idéia de império e a fundação da monarquia constitucional no Brasil (Portugal-Brasil, 1772-1824)

Cet article met les conceptions et projets politiques ayant trait au processus conduisant à la constituion impériale brésilienne de 1824 dans un contexte historique dont le pont de départ est la notion d'empire civil, telle qu'elle se développa lors de la réorganisation politico-administrative du royaume et de l'empire du Portugal au XVIIIe siècle. Le texte montre qu'avec le couronnement de Pierre I on fit un usage moderne d'une institution ancienne, le sacre royal, ce qui servit à étayer une sujection politique fondée sur la raison universelle humaine. Cette étude permet de comprendre pourquoi le Brésil indépendant fut pour commencer un empire, pas un royaume, ainsi que le sens profond du pouvoir modérateur attribué à l'empereur par la constitution de 1824.

As ciências sociais, a comunicação e a saúde

Comunicação, o termo central do título deste trabalho, pretende realmente ser uma espécie de pivô da articulação que queremos aqui estabelecer entre as ciências sociais e a saúde. Por um lado, a sua emergência como um campo de questões diferenciadas, com objetos e olhares relativamente novos, no seio do pensamento social já desde fins do século 18, passando pelas suas primeiras elaborações teóricas e estudos empíricos, já no quadro das ciências sociais, desde meados do século 19, depois pela sua diferenciação como um campo disciplinar em separado, em meados do século 20, até se tornar um verdadeiro emblema das sociedades contemporâneas, neste limiar do século 21. Por outro lado, as relações entre o que preferimos genericamente chamar de pensamento sobre a comunicação, rastreado no percurso histórico acima, e o campo da saúde, no seu mais amplo sentido. Assim, propomo-nos, primeiramente, a reconstituir a emergência e as evoluções desse pensamento sobre a comunicação nos últimos dois ou três séculos, destacando o seu profundo enraizamento nas ciências sociais, e, secundariamente, apontar as relações privilegiadas e variáveis ao longo da história entre esse pensamento e o conhecimento e a prática em saúde.

Ludwig Tieck: Meandros Góticos

Ludwig Tieck (1773-1853) was a pioneer of German Romanticism alongside figures such as Novalis, Wackenroder, brothers August and Friedrich Schlegel, Schleiermacher, Schelling. A great admirer of Shakespeare and Calderón de la Barca, Tieck envisioned literature as a supranational terrain and an area of convergence of different traditions and perspectives. Thus he absorbed numerous elements from popular culture (fairy tales, legends, superstitions) and merged with the trends of his time, among which the mid eighteenth-century gothic and horror narrative. In Tieck the macabre becomes an expression of questions about the relationship between the subject and on the very notion (based on common sense) that there would be a single reality and independent from the point of view of who observes or describes. Tieck aesthetically formulated questions that echoed throughout German romanticism, expressing concerns and anxieties inseparable from his poetic and literary production.

O romance-projeto: um estudo de Lucinde (1799), de Friedrich Schlegel

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

As manifestações do gótico em Lovecraft: do Castelo de Otranto ao solar de Ward

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estruturas geômetro-diferenciais na superfície da corda bosônica

Pós-graduação em Física - IFT