caa a22 4500 606223983 CHVBK 20210128101141.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00407-015-0160-1 doi (NATIONALLICENCE)springer-10.1007/s00407-015-0160-1 Ulivi Elisabetta Dipartimento di Matematica e Informatica U. Dini, Viale Morgagni 67/a, 50134, Florence, Italy aut Masters, questions and challenges in the abacus schools [Elektronische Daten] [Elisabetta Ulivi] The mathematical scenario in Italy during the Late Middle Ages and the Renaissance is mainly dominated by the treatises on the abacus, which developed together with the abacus schools. In that context, between approximately the last thirty years of the fourteenth century and the first twenty years of the sixteenth century, the manuscript and printed tradition tell us of queries and challenges, barely known or totally unknown, in which the protagonists were abacus masters. We report in this work on the most significant examples and draw out interesting cues for thoughts and remarks of a scientific, historical and biographical nature. Five treatises, written in the fifteenth and sixteenth century, have been the main source of inspiration for this article: the Trattato di praticha d'arismetricha and the Tractato di praticha di geometria included in the codices Palat. 573 and Palat. 577 (c. 1460) kept in the Biblioteca Nazionale of Florence and written by an anonymous Florentine disciple of the abacist Domenico di Agostino Vaiaio; another Trattato di praticha d'arismetrica written by Benedetto di Antonio da Firenze in 1463 and included in the codex L.IV.21 kept in the Biblioteca Comunale of Siena; the Tractatus mathematicus ad discipulos perusinos written by Luca Pacioli between 1477 and 1480, manuscript Vat. Lat. 3129 of the Biblioteca Apostolica Vaticana; and Francesco Galigai's Summa de arithmetica, published in Florence in 1521. Springer-Verlag Berlin Heidelberg, 2015 Archive for History of Exact Sciences Springer Berlin Heidelberg 69/6(2015-11-01), 651-670 0003-9519 69:6<651 2015 69 407 https://doi.org/10.1007/s00407-015-0160-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00407-015-0160-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ulivi Elisabetta Dipartimento di Matematica e Informatica U. Dini, Viale Morgagni 67/a, 50134, Florence, Italy aut NATIONALLICENCE 773 0- Archive for History of Exact Sciences Springer Berlin Heidelberg 69/6(2015-11-01), 651-670 0003-9519 69:6<651 2015 69 407