A obra de triangulis omnimodis libri quinque de Johann Müller Regiomontanus (1436 1476): uma contribuição para o desenvolvimento da trigonometria

Trigonometry, branch of mathematics related to the study of triangles, developed from practical needs, especially relating to astronomy, Surveying and Navigation. Johann Müller, the Regiomontanus (1436-1476) mathematician and astronomer of the fifteenth century played an important role in the development of this science. His work titled De Triangulis Omnimodis Libri Quinque written around 1464, and published posthumously in 1533, presents the first systematic exposure of European plane and spherical trigonometry, a treatment independent of astronomy. In this study we present a description, translation and analysis of some aspects of this important work in the history of trigonometry. Therefore, the translation was performed using a version of the book Regiomontanus on Triangles of Barnabas Hughes, 1967. In it you will find the original work in Latin and an English translation. For this study, we use for most of our translation in Portuguese, the English version, but some doubt utterance, statement and figures were made by the original Latin. In this work, we can see that trigonometry is considered as a branch of mathematics which is subordinated to geometry, that is, toward the study of triangles. Regiomontanus provides a large number of theorems as the original trigonometric formula for the area of a triangle. Use algebra to solve geometric problems and mainly shows the first practical theorem for the law of cosines in spherical trigonometry. Thus, this study shows some of the development of the trigonometry in the fifteenth century, especially with regard to concepts such as sine and cosine (sine reverse), the work discussed above, is of paramount importance for the research in the history of mathematics more specifically in the area of historical analysis and critique of literary sources or studying the work of a particular mathematician

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)

Effects of buprenorphine, carprofen and saline on thermal and mechanical nociceptive thresholds in cats

To evaluate a prototype pressure stimulus device for use in the cat and to compare with a known thermal threshold device.Eight healthy adult cats weighing between 3.0 and 4.9 kg.Pressure stimulation was given via a plastic bracelet taped around the forearm. Three 2.4 mm diameter ball bearings, in a 10-mm triangle, were advanced against the craniolateral surface of the antebrachium by manual inflation of a modified blood pressure bladder. Pressure in the cuff was recorded at the end point (leg shake and head turn). Thermal threshold was also tested. Stimuli were stopped if they reached 55 degrees C or 450 mmHg without response. After four pressure and thermal threshold baselines, each cat received SC buprenorphine 0.01 mg kg(-1), carprofen 4 mg kg(-1) or saline 0.3 mL in a three period cross-over study with a 1-week interval. The investigator was blinded to the treatment. Measurements were made at 0.25. 0.5, 0.75, 1, 2, 3, 4, 6, 8, and 24 hours after injection. Data were analyzed by using ANOVA.There were no significant changes in thermal or pressure threshold after administration of saline or carprofen, but thermal threshold increased from 60 minutes until 8 hours after administration of buprenorphine (p < 0.05). The maximum increase in threshold from baseline (Delta T-max) was 3.5 +/- 3.1 degrees C at 2 hours. Pressure threshold increased 2 hours after administration of buprenorphine (p < 0.05) when the increase in threshold above baseline (Delta P-max) was 162 +/- 189 mmHg.This pressure device resulted in thresholds that were affected by analgesic treatment in a similar manner but to a lesser degree than the thermal method. Pressure stimulation may be a useful additional method for analgesic studies in cats.

An in vitro growth inhibition test for measuring the potency of Leptospira spp. Sejroe group vaccine in buffaloes

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

Sensory acceptability of raw and extruded bovine rumen protein in processed meat products

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

Ameloblastic fibro-odontoma: A case report

Ameloblastic fibro-odontoma (AFO) is a rare, benign, slow-growing odontogenic tumor, generally asymptomatic and more prevalent in children and adolescents. We report a case of AFO in the mandible of an eight-year-old Caucasian male patient, and review the literature. Intraoral examination revealed a swelling extending from the deciduous second molar to the retromolar triangle, covered with normal mucosa. A panoramic radiograph showed a large, well-demarcated radiolucency with radiopaque areas. The provisional diagnosis was of AFO, and so an incisional biopsy was performed. Histologically, the lesion was composed of connective tissue resembling the dental papilla, with epithelial strands or islands, as well as denticles and amorphous masses of enamel and dentin consistent with a diagnosis of AFO. Surgical excision and curettage of the lesion were performed. The patient has been monitored for eight years and the lesion has not recurred.

Massless and massive one-loop three-point functions in negative dimensional approach

In this article we present the complete massless and massive one-loop triangle diagram results using the negative dimensional integration method (NDIM). We consider the following cases: massless internal fields; one massive, two massive with the same mass m and three equal masses for the virtual particles. Our results are given in terms of hypergeometric and hypergeometric-type functions of the external momenta (and masses for the massive cases) where the propagators in the Feynman integrals are raised to arbitrary exponents and the dimension of the space-time is D. Our approach reproduces the known results; it produces other solutions as yet unknown in the literature as well. These new solutions occur naturally in the context of NDIM revealing a promising technique to solve Feynman integrals in quantum field theories.

Regge calculus in teleparallel gravity

In the context of the teleparallel equivalent of general relativity, the Weitzenbock manifold is considered as the limit of a suitable sequence of discrete lattices composed of an increasing number of smaller and smaller simplices, where the interior of each simplex (Delaunay lattice) is assumed to be flat. The link lengths l between any pair of vertices serve as independent variables, so that torsion turns out to be localized in the two-dimensional hypersurfaces (dislocation triangle, or hinge) of the lattice. Assuming that a vector undergoes a dislocation in relation to its initial position as it is parallel transported along the perimeter of the dual lattice (Voronoi polygon), we obtain the discrete analogue of the teleparallel action, as well as the corresponding simplicial vacuum field equations.

Natural products from Brazilian biodiversity as a source of new models for medicinal chemistry

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

Efeitos do treinamento resistido sobre variáveis relacionadas com a baixa densidade óssea de mulheres menopausadas tratadas com alendronato

A osteoporose é uma doença crônica que atinge o esqueleto humano. OBJETIVO: Verificar os efeitos do treinamento resistido sobre a densidade mineral óssea (DMO), força muscular, equilíbrio e qualidade de vida em mulheres menopausadas em tratamento com alendronato. MÉTODOS: Participaram do estudo 16 voluntárias. Elas foram separadas em dois grupos: que praticaram o treino resistido (n = 9, 49,7 ± 4,2 idade) e que constituíram o grupo controle (n = 7, 53,8 ± 4,4 idade). Os instrumentos de avaliação seguintes foram usados: a absorciometria de dupla energia por raios X -DXA (que mediu a coluna lombar L2-L4, colo do fêmur, triângulo de Wards e trocanter maior), o Osteoporosis Assessment Questionnaire (OPAQ) e um teste de equilíbrio. O treinamento foi periodizado em 12 meses, divididos em seis ciclos com intensidade de 70-90% da carga máxima (10RM). Testes paramétricos (t ou Wilcoxon), para análise intragrupo e (Anova) para intergrupos, foram usados. RESULTADOS: Foram encontradas diferenças significativas favoráveis ao grupo que treinou nos sítios da lombar L2-L4 (6,8%, p = 0,001), colo do fêmur (4,8%, p = 0,005) e trocanter (0,76%, p = 0,005). Além de diferenças significativas também para o equilíbrio corporal (21,4%, p = 0,001), qualidade de vida (9,1%, p = 0,001) e todas as medidas de força como na pressão de pernas 45° (49,3%, p < 0,001). CONCLUSÃO: Os resultados sugerem que a metodologia aplicada ao treino resistido pode ser recomendada a mulheres menopausadas com baixa DMO.

O triângulo da formação docente: seus jogadores e configurações

O artigo tem por tema a formação dos professores que atuam nos anos iniciais da educação básica, considerando-a como um jogo que assume diferentes configurações em função das relações estabelecidas entre seus jogadores. Essas relações são analisadas por meio de um esquema de triangulação, aqui denominado como triângulo da formação docente. Cada um dos três vértices desse triângulo é ocupado por agentes que, a partir de seus capitais específicos, localizam-se em lugares desiguais no campo da formação docente: os professores e as instâncias que os representam; as universidades, fundações e institutos de pesquisa, com seus especialistas; e o poder público, representado por secretarias de educação e outros órgãos administrativos. Relações privilegiadas entre dois vértices do triângulo da formação docente apontam para diferentes modelos formativos. Explorando esse triângulo como um recurso de análise, o artigo focaliza as configurações assumidas pelo jogo da formação docente na versão brasileira do movimento ora em curso de universitarização do magistério. Atenção especial é conferida ao lugar que os professores atuantes nos anos iniciais da educação básica ocupam nesse jogo, às relações que eles estabelecem com os demais jogadores e, também, às possibilidades que têm de subverter e alterar o jogo em andamento.

Orientação espacial em adultos com deficiência visual: efeitos de um treinamento de navegação

O objetivo deste estudo foi demonstrar se um programa de navegação pode ajudar indivíduos com deficiência visual a melhorar a acurácia na orientação dinâmica. Nove participantes com deficiência visual retornaram a um ponto de partida após percorrer rotas em linha reta e triangular. Pré e pós-avaliações foram feitas entre um período de 4 meses, durante o qual o treinamento com navegação foi realizado. Entre pré e pós-teste, erros relativos de desvios angulares (ERDA) foram diferentes apenas na tarefa em linha reta. O valor de ERDA foi maior na tarefa em linha reta possivelmente por causa da magnitude do giro inicial antes de retornar ao ponto de partida (i.e., 180º) em contraste com a tarefa triângulo (i.e., 45º). Conclui-se que, em tarefas de orientação, os erros no desvio angular dependem da amplitude do giro inicial ao retornar para o ponto de partida. Ainda, a acurácia na manutenção da direção é influenciada por um treinamento específico com navegação.

Avaliação cefalométrica da posição do osso hióide em crianças respiradoras bucais

MATERIAL E MÉTODOS: em função das relações anatomofuncionais do osso hióide com o complexo craniofacial, realizou-se avaliação cefalométrica da posição do osso hióide em relação ao padrão respiratório. A amostra consistiu de 53 crianças, gênero feminino, com idades médias de 10 anos, sendo 28 respiradoras nasais e 25, bucais. As medidas cefalométricas horizontais, verticais e angulares foram utilizadas com a finalidade de determinar a posição do osso hióide. Estabeleceu-se uma comparação entre os grupos por meio do teste t de student, bem como correlação de Pearson entre as variáveis. RESULTADOS: Observou-se que não ocorreram diferenças estatísticas significativas para a posição mandibular e posição do osso hióide e o tipo do padrão respiratório. No Triângulo Hióideo, o coeficiente de correlação de 0,40 foi significativo entre AA-ENP (distância entre vértebra atlas e espinha nasal posterior) e C3-H (distância entre a terceira vértebra cervical e osso hióide) demonstrando uma relação positiva entre os limites ósseos do espaço aéreo superior e inferior. Para as medidas cranianas sugeriu-se uma relação entre a posição do osso hióide com a morfologia mandibular. CONCLUSÃO: Os resultados permitiram concluir que o osso hióide mantém uma posição estável, provavelmente, para garantir as proporções corretas das vias aéreas e não depende do padrão respiratório predominante.

NEUTRAL CURRENTS AND GLASHOW-ILIOPOULOS-MAIANI MECHANISM IN SU(3)L-CIRCLE-TIMES-U(1)N MODELS FOR ELECTROWEAK INTERACTIONS

We study the Glashow-Iliopoulos-Maiani mechanism for flavor-changing neutral-current suppression in both the gauge and Higgs sectors, for models with SU(3)L X U(1)N gauge symmetry. The models differ from one another only with respect to the representation content. The main features of these models are that in order to cancel the triangle anomalies the number of families must be divisible by three (the number of colors) and that the lepton number is violated by some lepton-gauge bosons and lepton-scalar interactions.

Dissolved radioelements in (oil) water wells in Parana basin, Brazil

This paper describes the results of a study on groundwaters from Tubarao Group at the Parana sedimentary basin, São Paulo State, Brazil. The purpose of this study was to integrate chemical and U-isotopes data in order to evaluate the models for quantifying different relative volumes of mixing waters in a resultant water. Despite it was possible to generate a typical triangle involving U-238 and its daughter U-234, the U-isotopes model failed to interpret the major hydrochemical facies observed in the studied localities.