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

Imbricações entre Goethe e Kant: Arte, Natureza e Sublime

Este ensaio aborda afinidades entre Johann Wolfgang von Goethe (1749-1832) e Immanuel Kant (1724-1804), principalmente em relação à Crítica da Faculdade do juízo kantiana. Investiga-se assim o diálogo teórico que implícita ou explicitamente permeia o texto goethiano e a obra do filósofo de Königsberg envolvendo temas, tais como Arte, Natureza e Sublime.

Reproductive output of Uca vocator (Herbst, 1804) (Brachyura, Ocypodidae) from three subtropical mangroves in Brazil

Crab fecundity is widely known to vary proportionally to female size, but the female's nutritional state also has an important effect on egg production. This study evaluates intraspecific variability of reproductive output by monthly sampling Uca vocator populations from the Itapanhau, Indaia, and Itamambuca mangroves on the southeastern coast of Brazil. The presence of ovigerous crabs, their carapace width (CW) and their number of eggs were recorded. Additionally, the productivity of the mangroves and the content of organic matter of the sediments were analysed in order to estimate food availability in each locality. Size-specific fecundity relationships were obtained for each population and compared among the three populations. Ovigerous females from Itamambuca are the largest and their fecundities are also the highest among the populations studied. These results probably are associated with the favourable environmental conditions in Itamambuca, as this is a young mangrove with a high productivity level.

Influência do fotoperíodo no crescimento e sobrevivência de póslarvas de piracanjuba Brycon orbignyanus (Valenciennes, 1849) (Osteichthyes, Characidae)

This paper aims at studying the influence of photoperiod on the cultivation of Brycon orbignyanus (Valenciennes, 1849) (Osteichthyes, Characidae) post-larvae submitted to four treatments: 0L-24D (L=Light; D=Dark), 10 - L14D, 14L - 10D and 24L-0D, with 3 repetitions. Post-larvae measuring 7.8±0.7mm and weighting 3.5±0.8mg were distributed in 12 aquariums (10L), stocked with 12 post-larvae per aquarium. Fishes were fed daily with Artemia sp. nanplii, in 10 days experiment. A positive relationship between the survival rate (88.9±9.7%) observed in the treatment with 24 hours of luminosity, and the lowest (58.3±8.3%), in the treatment with 24 hours of darkness. No difference was showed (P>0.05) in the mean length and weight of the post-larvae, although there was greater heterogeneity among the post-larvae cultivated at the longer darkness period.

Comparison of the population structure of the fiddler crab Uca vocator (Herbst, 1804) from three subtropical mangrove forests

The population structure of U. vocator was investigated during a one-year period in three mangrove forests in southeast Brazil. The study specifically addressed comparisons on individual size juvenile recruitment and sex-ratio. The structure of the mangrove forests, i.e. density, basal area, and diameter, and the physical properties of sediments. i.e. texture and organic matter contents, were also examined. A catch-per-unit-effort (CPUE) technique was used to sample the crab populations using 15-min sampling periods by two people. Males always outnumbered females, probably due to ecological and behavioural attributes of these crabs. The median size of fiddler crabs differed among the sampled populations. The mangroves at Indaiá and Itamambuca showed higher productivity than those at Itapanhaú, where oil spills impacting the shore were reported. Marked differences were found regarding individual size, either their size at the onset of sexual maturity or their asymptotic size, suggesting that food availability may be favouring growth in the studied populations.

Salmonella enteritidis in the eggs of Japanese quails (coturnix coturnix Japonica - Temminck & Schlegel, 1849) fed diets with different calcium and phosphorus levels

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Ciclo reprodutivo da tabarana, Salminus hilarii (Valenciennes, 1849) (Characidae, Salmininae) na região do baixo rio Sorocaba, SP

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A Marmota na Corte: recreação e vereda literária no cenário cultural do século XIX (1849-1852)

Pós-graduação em Letras - FCLAS

A poesia lírica na revista Guanabara (1849-1856)

Pós-graduação em Letras - FCLAS

Ecomorfologia trófica de Acarichthys heckelii (Müller & Troschel, 1849), Heros efasciatus Heckel, 1840 e Mesonauta insignis (Heckel, 1840) (Perciformes:Cichlidae) nas reservas de desenvolvimento sustentável de Amanã e Mamirauá, Amazônia

Os ciclídeos compõem uma das mais diversas famílias de peixes dulcícolas com 1.900 espécies. Espécies como A. heckelii, H. efasciatus e M. insignis são coletados das reservas de desenvolvimento sustentável de Amanã e Mamirauá de acordo com o projeto de manejo sustentável. Para investigar as variações entre as variáveis morfológicas associadas com a alimentação das espécies para as reservas Amanã e Mamirauá no médio Solimões, foi feita uma análise após eliminar o efeito do tamanho corporal. As três espécies formaram diferentes grupos por espécies, por grupos etários e por ambientes. Os principais caracteres para a formação dos grupos foram a largura da boca e comprimento da cabeça. Diferenças entre os juvenis e os adultos nos atributos área relativa do olho e razão-aspecto da nadadeira caudal foram significativas. A composição da dieta indicou que as três espécies estudadas apresentaram uma convergência alimentar por insetos em ambos os ambientes.

Análise evolutiva da morfologia e ecologia em espécies continentais de lagartos do gênero Anolis daudin 1804 (Squamata : Polychrotidae)

A tese compreende 3 capítulos. No primeiro capítulo apresento os resultados sobre a associação entre similaridade morfológica entre as espécies e suas relações filogenéticas, para 35 espécies que se distribuem nas áreas continentais e 59 no Caribe. Determino quais espécies continentais agrupam com as classes de ecomorfos propostos para as espécies caribenhas, investigo os casos de similaridade morfológica entre as espécies continentais, e verifico se existem agrupamentos entre as espécies morfologicamente similares. No capítulo dois, analiso evolutivamente a relação entre morfologia e ecologia para 19 espécies continentais de Anolis. No capítulo três, um estudo de caso, caracterizo as estruturas do habitat e outros atributos ecológicos de três espécies que ocorrem na Amazônia brasileira e busco associar as diferenças morfológicas entre elas com as diferenças de habitat, à luz dos resultados encontrados nos capítulos anteriores e em outros estudos ecomorfológicos.

Ocorrência de espécies de Atta Fabricius, 1804 e Acromyrmex Mayr, 1865 em algumas regiões do Brasil

Pós-graduação em Agronomia (Proteção de Plantas) - FCA

Notes on the Neotropical Zethus Fabricius, 1804 (Hymenoptera, Vespidae, Eumeninae) with the description of two new species from Brazil

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