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Abstract(s)
Francisco de Melo foi o mais importante matemático português anterior a Pedro Nunes. Enquanto professor da Universidade de Paris, escreveu diversos comentários a obras de matemáticos antigos, incluindo a Óptica e
Catóptrica de Euclides e um pequeno tratado de hidrostática durante muito tempo atribuído a Arquimedes (“Sobre os objectos que caem em líquidos”). Os comentários referidos, escritos em Latim e compilados em dois manuscritos (Biblioteca Nacional de Portugal - COD 2262; Stadtarchiv Stralsund - ms. HS 0767), constituem a única obra de matemática sobrevivente de Francisco de Melo e uma das primeiras tentativas de interpretação de textos ligados a Euclides e Arquimedes do Renascimento europeu. Nestes tratados, Melo cita frequentemente argumentos matemáticos que afirma pertencerem a outros comentários que teria escrito aos Elementos de Euclides, e que não chegaram até nós. Apresentaremos uma recolha destes argumentos e procederemos à reconstituição possível desta obra perdida de Francisco de Melo.
Francisco de Melo (c. 1490-1536) was the most important Portuguese mathematician before Pedro Nunes. When he was a Professor at the University of Paris, he wrote several commentaries on mathematical works of ancient authors, including Euclid’s Optics and Catoptrics and (Pseudo)-Archimedes’ treatise on hydrostatic matters titled On Weights. These commentaries, written in Latin, are still extant in two manuscripts (National Library of Portugal - COD 2262; Stadtarchiv Stralsund - HS 0767) and constitute one of the first attempts to interpret Euclidean and Archimedean texts in the Renaissance. In these texts, Melo often quotes mathematical arguments which he states are taken from his commentaries on Euclid’s Elements, now lost. We shall present a list of these arguments and reconstitute this lost work of Melo as much as it is possible.
Francisco de Melo (c. 1490-1536) was the most important Portuguese mathematician before Pedro Nunes. When he was a Professor at the University of Paris, he wrote several commentaries on mathematical works of ancient authors, including Euclid’s Optics and Catoptrics and (Pseudo)-Archimedes’ treatise on hydrostatic matters titled On Weights. These commentaries, written in Latin, are still extant in two manuscripts (National Library of Portugal - COD 2262; Stadtarchiv Stralsund - HS 0767) and constitute one of the first attempts to interpret Euclidean and Archimedean texts in the Renaissance. In these texts, Melo often quotes mathematical arguments which he states are taken from his commentaries on Euclid’s Elements, now lost. We shall present a list of these arguments and reconstitute this lost work of Melo as much as it is possible.
Description
Keywords
Francisco de Melo Euclides Elementos Geometria
Pedagogical Context
Citation
“Os comentários perdidos de Francisco de Melo aos Elementos de Euclides”, in António Costa Canas, João Domingues & Luís Saraiva (Eds.), Atas/Anais do 7.º Encontro Luso-Brasileiro de História da Matemática, 2 vols., Sociedade Portuguesa de Matemática, 2018. vol. II, pp. 221–231. (Disponível aqui: https://repositorium.sdum.uminho.pt/handle/1822/72737).
Publisher
Sociedade Portuguesa de Matemática