Adam Smith visto por Roberto Campos: a (re)criação do mito e as necessidades do capitalismo

This work aims at analyzing how Adam Smith, one of the founders of the liberal regime was seen by Roberto Campos, one of the patriarchs of Brazilian liberalism. In this sense, it will be shown how and why the legacy of Scotland was used to legitimize the new pattern of accumulation necessary to capitalism from the second half of the twentieth century on. So, it is the intention to make explicit that the changes in Campos discursive form are consistent with the requirements of capitalism in crisis and were fundamental in the creation of another common sense. To achieve these goals it will be assessed in what way the liberal rhetoric of the Brazilian, harmonized with foreign authors with the same vision, has become an important weapon to transform Smith into a myth in contrast to the political and economic criteria advocated by the same, but valuable to what Roberto Campos intended

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