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

Indícios sincrônicos de gramaticalização: o uso do verbo chegar em orações coordenadas e na perífrase verbal [chegar (e) + v2]: contribuições para o ensino de gramática.

Based on North American Functional Linguistic Theory, our proposal is to describe and analyze the use of verb CHEGAR in verbal periphrasis such as [CHEGAR (E) + V2], where CHEGAR does not demonstrate a significance linked to physical movement. In linguistic literature, such periphrasis has been attributed several functions, related to aspectualization, emphasis of negative segments, and construction of mental spaces, among others. This study considers that the function of verb CHEGAR in the periphrasis in question is to indicate a global aspect, emphasizing a range of semantic-pragmatic nuances such as the sudden, instantaneous, or even abrupt character of the events refered to by the principal verb of the construction (V2), and/or the taking of initiative (sudden) by the agent (in the syntactic role of periphrastic subject), and/or subjective evaluations which go from surprise to frustration. Our objectives are the following: i) to describe and analyze the semanticpragmatic, morphosyntactic and social relationships which characterize the use of CHEGAR in verbal periphrases like [CHEGAR (E) + V2] and in coordinated/juxtaposed speech in which CHEGAR is the principal verb of the first utterance and is an elocution verb and the principal verb of the second; ii) identify, based on this description and analysis, synchrony proof in the grammaticalization of CHEGAR as an auxiliary verb in the periphrasis refered to. There was observed to be a strong similarity between coordinate/juxtaposed and periphrastic constructions. Such similarities strengthen the hypothesis that the use of CHEGAR as a lexical verb in coordinate/juxtaposed structures is the origin of the use of CHEGAR in the periphrastic structure, since the many properties encountered with higher frequency in lexical use are also just as frequently used as auxiliaries. Nevertheless, between the two constructions being studied, sufficient difference can be observed to see that CHEGAR, in the periphrasis [CHEGAR (E) V2], is behaving like an auxiliary verb, and shows typical properties of these types of verbs: i) in 100% of occurrences, it does not have a complement;ii) it has a co-referential subject in 100% of cases; iii) it does not appear with intervening material between it and V2. Besides this, CHEGAR, in periphrases, is predominant in nonneutral evaluation contexts, denoted by V2. Inspired by the results obtained, we propose strategies for the discussion of the [CHEGAR (E) V2] periphrases in both elementary and high schools.

Vozes sociais em diálogo: uma análise bakhtiniana dos diários de leituras produzidos por alunos do ensino médio

The work aims to analyze high school students utterances, in reading diary discursive genre, starting from the language concept proposed by the Bakhtin Circle. The genre in question has peculiar characteristics which justify its choice for this work, especially with regard to subjectivity marks, that reveal, through the ideological clash, positions on various issues. From the utterances selected for the corpus, categories were created, during the research, according to the guidelines of Guba and Lincoln (2006), Mazzotti and Gewandsznajder (1998) and Amorim (2002), for whom the research in human sciences cannot be based on pre-established categories. We consider diary as a discursive genre (BAKHTIN, 2010a), which carries the characteristics of composition, style and content. Other concepts of the Circle, concerning to utterance, dialogical relations, social voices, responsiveness and exotopy also formed the basis for the study. Moreover, during the analysis of the utterances that compose the corpus of research, we used the concepts of discursive polemics (BAKHTIN, 2010b) and Framework (2010a). At the end of the research, we realized that the assessment situation of students, the fact that they are in an institution whose policy follows national documents, based on diversity and plurality, and live together in a classroom space where there are differences of social class, age, and finally, different realities, were not sufficient factors for this diversity be well accepted in their positions. Thus, their utterances bring voices that demonstrated a difficulty in accepting others that are different from themselves. In view of this, we conclude that teachers need to be prepared to handle these discourses, creating strategies for mediating these dissonant voices, with which must make contact every day at school

A prisão sem muros da Queer Theory nos contos dama da noite e o rapaz mais triste do mundo de Caio Fernando Abreu

In this dissertation, we analyze, in a comparative perspective, the link between the short stories: Dama da Noite‟ and O Rapaz mais triste do mundo‟, of Caio Fernando Abreu. In order to reveal, analyze and establish relevant dialogues with Queer Theory, it‟s important, above all, make a misreading guided in the discursive contextuality of postmodern literature. In order to justify and clarify the many issues that arises in the emblematic relationships of characters that are present in the text and in the cultural context, historically and socially. It also highlights the utterance comparative value identified in the works, given the peculiarities of each one of them, not being possible to classify them as `figures of language` with which the comparison can be cited as an example. In this case, they serve to inspire the ways that may lead us to a better understanding of the parallels created between a world of the binary value and adjectives suggested by society and so well portrayed in the ideas and writings of Caio Fernando Abreu

Coerção e ruptura estilísticas na poesia potiguar: a construção do ethos inventivo do poeta Jorge Fernandes

Within the poetic scenario of Rio Grande do Norte the publication of Livro de Poemas de Jorge Fernandes, in 2007, marks, in the imagery of the Potiguar community of poetry readers, producers and critics, the beginning of the social circulation of an inventive ethos associated with the poet Jorge Fernandes de Oliveira (1887-1953). Regarding the event mentioned earlier as a point of reference, this research investigates the construction of such ethos based on the counterpoint between the poet s individual stylistic choices and the stylistic options that prevailed in the lyric production of the Twenties in the 20th Century. The corpus comprises poetic texts (by the poet under discussion and by other poets who were, then, regarded as icons of the poetry of Rio Grande do Norte) and texts representative of local literary criticism (produced both during the Twenties and in other decades of the last century). Support to this analysis is grounded in Mikhail Bakhtin s theory of the utterance (mainly regarding style) and in Dominique Maingueneau s theory of the utterance (mainly regarding ethos). During the course of this investigation, the research has outlined an inventory of the prevailing individual stylistic choices of Jorge Fernandes de Oliveira and the reasons why such choices point out towards the inventive ethos associated with the poet.

A produção do gênero monografia em discursos de professores e alunos do curso de letras

A current worry in the teaching process at the university these days is text production process and genres produced there, especially those kind of writing that is concerned to course conclusion such as monograph, dissertation and thesis. From this perspective and considering our aims at understanding discursive process involved in the production of monograph genre at the university we want to analyze teachers and students discourses about the productive process of monograph in Letras Course, considering the guide, writing and specific aspects of that genre. To get the aims, we took as background theory the studies by Bakhtin linked to Utterance Linguistics with foundation concepts in Discourse Text Analysis by Adam (2010), and finally the studies developed about text production at college. This way, this work is based on a qualitative research and in data ethnographic procedures, they are: the observation in locus, as well as the application of questionnaires with opened questions to ten students and six teachers from Letras Course. The discourse analysis from the subjects reveal us that: i) the monograph production and the guidance are form of act by language, that need take into account in its development: students free chose as a principle in writing monograph, as well as a wide involvement between the teacher and the student in a sense to turn the writing better, among other aspects; (ii) there is a need to articulate monograph project and the text produced, considering that the guide process comes from a project written before; (iii) there are a number of role to discourses by teachers and students to the function of student and guide teacher, in a way that both can see the same assumptions in teachers and students discourses; (iv) teacher s and students discourses show that they assume the utterance responsibilities by the content of utterances proposed, they also show the voice from methodology guidebooks to monograph texts. So, we conclude that this research has some contributions to teach writing production at the university, especially to monograph in the ending of the courses. It can also be helpful in developing research in this area, mainly at the question about guide final works at college

Expressão de genes imediatos induzidos por vocalizações em sagüis-comuns (Callithrix jacchus)

Immediate-early genes (IEGs) expression has been widely used as a valuable tool to investigate brain areas activated by specific stimuli. Studies of natural vocalizations, specially in songbirds, have largely benefited from this tool. Here we used IEGs expression to investigate brain areas activated by the hearing of conspecific common marmoset (Callithrix jacchus) vocalizations and/or utterance of antiphonal vocalizations. Nine adult male common marmosets were housed in sound-attenuating cages. Six animals were stimulated with playbacks of freely recorded natural long distance vocalizations (phee calls and twitters; 45 min. total duration). Three of them vocalized in response (O/V group) and three did not (O/n group). The control group (C) was composed by the remaining animals, which neither heard the playbacks nor spontaneously vocalized. After one hour of the stimulation onset (or no stimulation, in the case of the C group), animals were perfused with 0,9% phosphate-saline buffer and 4% paraformaldehyde. The tissue was coronally sectioned at 20 micro meter in a cryostat and submitted to immunohistochemistry for the IEGs egr-1 and c-fos. Marked immunoreactivity was observed in the auditory cortex of O/V and O/n subjects and in the anterior cingulate cortex, the dorsomedial prefrontal cortex and the ventrolateral prefrontal cortex of O/V subjects. In this study, brain areas activated by vocalizations of common marmosets were investigated using IEGs expression for the first time. Our results with the egr-1 gene indicate that potential plastic phenomena occur in areas related to hearing and uttering conspecific vocalizations.

A responsabilidade enunciativa na sentença judicial condenatória

The Textual Analysis of Discourse has its origin in Text Linguistics and it aims at studying the co(n)text meaning production based on the analysis of concrete texts by offering elements to the understanding of the text as a discourse practice throughout the plans or levels of linguistic analysis. In this perspective, we intend to investigate the enunciative responsibility phenomenon in the sentencing court judgment. To do so, we review the theoretical contributions of Textual Analysis of Discourse (ADAM, 2011) and the Enunciative Linguistics from various authors, among them, Rabatel (1998, 2003, 2004, 2005, 2008, 2009, 2010), Nølke (2001, 2005, 2009, 2013), Nølke, Fløttum and Norén (2004), Guentchéva (1994, 1996) and Guentchéva et al. (1994). In this direction, we investigate the enunciative responsibility through a range that comprises the phenomenon from four gradations, each one with a kind of point of view (PoV) and with links that may mark the assumption or the distance from the point of view. Regarding the legal approach of the thesis, our theoretical anchoring follows several authors, among them, Petri (1994), Soto (2001), Alvarez (2002), Alves (2003), Cornu (2005), Albi (2007), Bittar (2010), Asensio and Polanco (2011), López Samaniego (2006), López Montolío and Samaniego (2008), Montolío (2002, 2010, 2011, 2012, 2013), Sterling (2010), Prieto (2013), Lawrence and Rodrigues (2013) and Rodrigues, Passeggi and Silva Neto (2014). Our corpus is composed of 13 sentences from criminal cases arising from the district of Currais Novos-RN, completed in 2012. The results reveal how the judge, from various enunciative instances, builds the court decision, which allowed us to understand the configuration of (non) assumption of enunciative responsibility in the sentencing court judgment discourse genre. In conclusion, we perceive that the discourse units are envisaged or through the assumption, or the non assumption of PoV by the enunciative instances, what guides the producer organization argumentative text and his (her) communicative purposes. With that, the judge creates and/or modifies values and beliefs, induces and/or guides his (her) interlocutor by being able to demonstrate objectivity and/or preventing his (her) face through the mediated constructions or engage through the assumption of the enunciative responsibility of the propositional content of an utterance. In short, we reaffirm our belief that the (non) assumption of the enunciative responsibility configures as an argumentative mechanism strongly marked by the producer of the text with a view to their communicative purposes. The sentence, therefore, is constructed in this game of taking and/or not taking of statements according to argumentative orientation and the objectives of the text producer.

Consumo c(l)iente: abordagem do gênero anúncio publicitário em livros didáticos de língua portuguesa do ensino médio

Portuguese language textbooks, according to what has been preconized on the official document to education, have been configured on discursive genres imported from diverse spheres of human activity. Adverts, genre of ample social circulation, spread from the Advertising sphere to the schools and started being approached by these collectaneas as an object and a tool for teaching. Therefore, this research deals with the approach of ads in Portugese textbooks. These discursive practices matter for the impact or appeal they exert over the (new) consumers, among which High School students; for their representation in the capitalist system, which guides us on our relationships and social practices; and for the mix of languages that end up at their composition, once they encapsulate the spirit of our time, par excellence, the one from the verbal-visual genres. To understand the treatment given to these advertising pieces, from questions/commentaries related to them, two collections were selected by the Programa Nacional do Livro Didático – Textbook National Program (PNLD 2012) among the ones more used by public High Schools in Natal/RN. From Applied Linguistics, from mestizo, nomadic and inter/transdisciplinary identity (MOITA LOPES, 2009), this study falls within the discursive chain of the interpretive tradition of historical-cultural approach (FREITAS, 2010) and names the Bakhtin Circle and its language‟s dialogical conception as inescapable partners. The data of the colletaneas show that the genre approach can happen as concrete utterance, as linguistic artifact and as hybrid, at work with questions and without questions, with the predominance of its occurrence in the portion of the volume devoted to the study of grammar. In the literature chapters and production/interpretation of compositions, it insert is incipient or it doesn‟t happen in the volume. Such a provision has implications for multiliteracies (ROJO, 2012) of the citizen student, once the lack or the abundance of critical reading proposals for this genre, that demand from the student the exercise of knowledge that is necessary to the construction of linguistic and social meanings, can be responsible for guide to a more conscious consumerism (material and cultural) by the chief customers of the work under review. The approaches of the genres seems to indicate a gradual transition that such material have undergone, which means, from the focus on clauses to the focus on utterances, or even the approach as linguistic artifact to hybrid and the concrete utterance, in search of overcoming the traditional tendency of taking advantage of formal aspects of the language, to the detriment of enunciative ones, and for coming into harmony with the guidelines and parameters of teaching in contemporary times, bringing the school duties close to the rights in life.

Dialogização de vozes: o fio construtor do estilo de José Bezerra Gomes no romance A porta e o vento

This research aims to investigate the process of stylistic construction in novelistic prose of Northeastern Brazilian writter José Bezerra Gomes, taking as a corpus his novel called A porta e o vento. The theoretical foundations supporting this study are related to the ideas disseminated by a group of linguistic researchers known as Bakhtin Circle, especially the notions of dialogic language, literary word, concrete utterance, social voices, and sociological style/stylistic. Concerning to methodological guidance, this work is characterized by adopting the interpretive paradigm of socio-historical background, still situated in the great field of Applied Linguistics, an undisciplinary area of research and frontier whose primary focus is concrete and situated language. The analysis allowed me to hear several social voices embodied therein, realizing a variety of dialogs, numerous worldviews in constant struggle, that due to the management and the finish given by the author, eventually create a tone, a unique composition compared to other discourses and current styles in his midst. Ideological clashes are evident: the voice of tradition versus particular character Santos’ voice regarding the institution of marriage; confrontation between antagonistic hinterland pictures - a living hinterland (rich and diverse) as opposed to the stereotypical notion of hinterland (poor and sterile); and the door and the wind as a metaphor of a fighting arena and a hint of poeticization of the language of prose. The main feature of Bezerra’s style in A porta e o vento is related to the aforesaid modes dialogization voices present in the novel. Therefore, one can found veiled polemic, dialogical replicas and veiled dialogues, which are categories already discussed in Bakhtin's theory, but also other new modes dialogization, grounded in the dynamics of living and concrete language

Querido diário: a construção identitária de alunos da EJA em diários pessoais

This study aims to present analyses of our research, documentary type, which investigates the construction of cultural identities of the Youth and Adults Education (Educação de Jovens e Adultos – EJA), level III, in a public school in the city of Natal/RN, through personal diaries produced in the school environment. In a qualitative-interpretive approach, we anchor our identity studies (BAUMAN, 2001, 2005, 2006; HALL, 1987, 1997, 2011, 2012) that bring us the idea that identities are built and rebuilt by social relations that we do. To this end, we start from a conception of language that does not require pre-conceptions because they are based on the utterance itself. Therefore, we have analyzed the utterances produced by these students from the perspective of Bakhtin Circle (BAKHTIN, 1988, 1993, 1998, 2002, 2010, 2012), which deals with the discursive construction emerging from intersubjective processes of verbal interaction, in a dialogical relationship of the self to the other, by the otherness and the heteroglossia. Moreover, our study is also guided by the guidance on speech genres (BAKHTIN, 2010) and personal journal (LEJEUNE, 2008; MACHADO, 1998, 2009). We join to Applied Linguistics (MOITA LOPES, 2006, 2009) because we believe that this research focuses on a social practice in which language plays a central role and seeks to demonstrate how the speeches of the subject students of EJA, in personal journals, are building tools not only of their identities, but also knowledge and social life of the position that this subject student takes. We conclude this work in a perception of cultural identities that are built by the subject students of EJA, because the results suggest that the identities of these students are fluidly constructed by the representation that the student makes of his or her school, of being student of EJA and how he or she is a student of this educational modality. Thus, through our work, we plan to present another look about the identity or identities of a student of EJA, pointing an insight of this subject.