Construções euclidianas e o desfecho de problemas famosos da geometria

Construction techniques with ruler and the compasses, fundamental on Euclidean geometry, have been related to modern algebraic theories such as solving equations and extension of bodies from the works by Paolo Ruffini (1765-1822), Niels Henrik Abel (1802-1829) and Evariste Galois (1811-1832). This relation could provide an answer to some famous problems, from ancient Greece, such as doubling the cube, the trisection Angle, the Quadrature of the Circle and the construction of regular polygons, which remained unsolved for over two thousand years. Also important for our purposes are the notions of algebraic numbers, transcendental and the criteria for constructability, of those numbers. The objective of this study is to reconstruct relevant steps of geometric constructions with ruler (unmarked) and the compasses, from the elementary to the outcome buildings, in the nineteenth century, considering those mentioned problems.

Considerações históricas sobre o infinito e alguns de seus paradoxos

This research aims to elucidate some of the historical aspects of the idea of infinity during the creation of calculus and set theory. It also seeks to raise discussions about the nature of infinity: current infinite and potential infinite. For this, we conducted a survey with a qualitative approach in the form of exploratory study. This study was based on books of Mathematics' History and other scientific works such as articles, theses and dissertations on the subject. This work will bring the view of some philosophers and thinkers about the infinite, such as: Pythagoras, Plato, Aristotle, Galilei, Augustine, Cantor. The research will be presented according to chronological order. The objective of the research is to understand the infinite from ancient Greece with the paradoxes of Zeno, during the time which the conflict between the conceptions atomistic and continuity were dominant, and in this context that Zeno launches its paradoxes which contradict much a concept as another, until the theory Cantor set, bringing some paradoxes related to this theory, namely paradox of Russell and Hilbert's paradox. The study also presents these paradoxes mentioned under the mathematical point of view and the light of calculus and set theory

Evaluation of the Possibility of Removing Staining by Repolishing Composite Resins Submitted to Artificial Aging

This in vitro research verified the possibility of eliminating staining caused by coffee and red wine in five composite resins, after being submitted to thermal cycling. Thirty-six specimens were prepared and immersed in water at 37 degrees C for 24 hours. After polishing, specimen color was measured in a spectrophotometer Cintra 10 UV (Visible Spectrometer, GBC, Braeside, VIC, Australia). All specimens were submitted to thermal cycling at temperatures of 5 and 55 degrees C with a dwell time of 1 minute, for 1,000 cycles in a 75% ethanol/water solution. After thermal cycling, the specimens were immersed in water at 37 degrees C until 7 days had elapsed from the time the specimens were prepared. All specimens were then taken to the spectrophotometer for color measurement. The specimens were divided into three groups (N = 12): distilled water (control), coffee, and red wine. For the staining process to occur on only one surface, all the sides, except one, of the surfaces were isolated with white wax. The specimens were immersed in one of the solutions at 37 degrees C for 14 days. The specimens were dried and taken to the spectrophotometer for color measurement. After this, the specimens were submitted to 20 mu m wear three times, and the color was measured after each one of the wear procedures. Calculation of the color difference was made using CIEDE2000 formula. According to the methodology used in this research, it was concluded that the staining caused by coffee and red wine was superficial and one wear of 20 mu m was sufficient to remove the discoloration.

Efeito da bidestilação na qualidade sensorial da cachaça

Pós-graduação em Alimentos e Nutrição - FCFAR

Sobre a teleoformidade na formação humana: um olhar genealógico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A ilusão dramática em Acarnenses, de Aristófanes

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Constância da retórica, mudança de Estilo: a obra acadêmica de Cláudio Manuel da Costa

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Phoenissae de Sêneca: estudo introdutório, tradução e notas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Etnobotânica de Leguminosae entre agricultores agroecológicos na Floresta Atlântica, Araponga, Minas Gerais, Brasil

This study describes the richness of Leguminosae used by 21 traditional farmers in coffee agroforestry systems (AFS) and forest fragments of the Atlantic Forest, in the municipality of Araponga, Minas Gerais, Brazil. It also presents the use categories, relative importance and the species similarity between the AFSs. Data were collected through semi-structured interviews and participant observation, between August 2005 and November 2006, directed during random walks in seven AFSs and forest fragments surrounding the State Park of Serra do Brigadeiro. The farmers cited 59 species of Leguminosae, of which 86% are native to the Atlantic Forest and used in ancient cultural practices, such as to make bullock carts. Twelve categories of use were established, among them the most important were fertilizer and firewood (21 spp each); in the AFSs, species used for soil fertilization (18 spp) are the most utilized, and in the forest, the species for firewood and technology (17 spp.) The relative importance index showed that in the forest, Piptadenia gonoacantha showed 83% of agreement for the use as wood for fencing pastures, while in the AFSs, Inga edulis scored 100% as food. The AFSs studied show little similarity of species (0.42 of the Sorensen scale), due to the selection promoted by the farmers, thus, providing room for the conservation of useful species of Leguminosae.

Institucionalização cognitiva e social da Organização e Representação do Conhecimento na Ciência da Informação no Brasil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sílabas métricas em Terenciano Mauro, De Syllabis, 997-1299

This monograph addresses to the study of Latin metrical notions and concepts as showed in the volume VI of Heinrich Keil’s work, entitled Grammatici Latini (GL): Scriptores Artis Metricae. From that book, it was chosen Terentianus Maurus’s work for corpus, particularly the excerpt between verses 997 and 1299 of De Syllabis, a part of Terentianus’s De Litteris, De Syllabis, De Metris, which is a metric manual written in verses. Until now, there are only three translations of that text into modern languages: two in Italian (one of them was used for comparison with the translation prepared for this monograph) and a French one. That work still contains many reference notes whenever Terentianus Maurus uses ancient authors to demonstrate his explanations on Metrics. Thus this research intends to join in other analysis made on Latin metrical manuals that have already been translated or are still going to be, as well as to notice the importance and the specific value of meter in ancient poetry

O valor mágico do olhar no capítulo 35 do livro I do 'Opus agriculturae' de Paládio

Blood is one of the most important and powerful elements in magical and religious symbology. As it is an essential substance for animal survival, it does not sound strange that through the ages blood has been given many significant symbolic values (both positive and negative). It can provide life, protection and prosperity in the same proportion that it can cause calamities, destruction and even death. In Opus agriculturae, a farming treatise written by Palladius (V AD), more specifically in Book I, Chapter 35, the author presents prescriptions to protect farms against scourges and climatic phenomena. He mentions some procedures in which blood is a fundamental component in the success of the prescriptions. The aim of the present article is to identify any magic power associated with these practices, their specific symbolic value, especially when related to menstrual blood and to other feminine elements with some magical or religious value. An evaluation is also made of the extent of these symbologies in the context of other practices and situations linked not only to agricultural magic, but to religion and to the ritual practices of other communities, whether in ancient times or not.

A magia em um texto técnico agronômico da antiguidade romana: o 'Opus agriculturae', de Paládio

This work analyses the chapter 35, book I, of the agricultural treatise Opus agriculturæ, written by Rutilius Taurus Aemilianus Palladius (V C.E.). In that chapter the author presents some recipes, called remedia, to protect the farm and the garden against weeds and weather phenomena, as blight and fogs. The magical practices are identified according to both the fundamental principles of magic (similarity, contiguity, contrariety), which rule magical thought, and some elements of magical symbology. As the author seems not to distinguish magic and science, for he brings together both kinds of recipes, the analysis of some remedia emphasizes a specific study on the materials and substances employed in those recipes and their value in Science today. This leads to the discussions of how magical thought works, what are the limits (if they actually exist) between Magic and Science and between Magic and Religion. This work covers the subjects above and it has the following pourposes: demonstrate the characteristics that authorize the remedia described by Palladius to be classified as folk magic; identify the relations between this kind of practice with more complex forms of magic, as with religion, with science; demonstrate the contribution of the folk magic in ancient Rome farming for the formulation of more apropriated criteria of evaluating magic in comparison to religious and scientific thought.

O valor mágico do sangue no capítulo 35 do livro I do 'Opus Agriculturae' , de Paládio

Blood is one of the most important and powerful elements in magical and religious symbology. As it is an essential substance for animal survival, it does not sound strange that through the ages blood has been given many significant symbolic values (both positive and negative). It can provide life, protection and prosperity in the same proportion that it can cause calamities, destruction and even death. In Opus agriculturae, a farming treatise written by Palladius (V AD), more specifically in Book I, Chapter 35, the author presents prescriptions to protect farms against scourges and climatic phenomena. He mentions some procedures in which blood is a fundamental component in the success of the prescriptions. The aim of the present article is to identify any magic power associated with these practices, their specific symbolic value, especially when related to menstrual blood and to other feminine elements with some magical or religious value. An evaluation is also made of the extent of these symbologies in the context of other practices and situations linked not only to agricultural magic, but to religion and to the ritual practices of other communities, whether in ancient times or not.

Geomorfologia e evolução quarternária da calha do Alto Rio Paraná, no segmento livre de barramentos, entre os reservatórios de Porto Primavera e Itaipu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)