(Article I.15.) “Proportions” in and around the Italian Abbacus Tradition

Jens Høyrup ()
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Jens Høyrup: Roskilde University, Section for Philosophy and Science Studies

Chapter Chapter 16 in Selected Essays on Pre- and Early Modern Mathematical Practice, 2019, pp 409-457 from Springer

Abstract: Abstract The language and notion of “proportions”, in the senses ascribed to the term during the epoch, are traced both in ordinary abbacus books and in those extensive works which were written in the vicinity of the abbacus culture by authors with erudite or Humanist ambitions, such as Fibonacci’s Liber abaci, Benedetto da Firenze’s Trattato d’aritmetica and Pacioli’s Summa. The very language turns out to have been initially absent from general abbacus culture as reflected in the ordinary books, but slowly and modestly crept in. The authors of the extensive works took up the topic, as indeed they had to if they wanted to connect to university and Humanist mathematics; but even in their case it generally remained isolated and did not penetrate their presentation of abbacus mathematics broadly to any noteworthy extent.

Date: 2019
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DOI: 10.1007/978-3-030-19258-7_16

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