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bib5900 (23 / November / 2024)

Darrera modificació: 2013-07-16
Bases de dades: Sciència.cat

Docampo Rey, Javier, "Algebraic diagrams in an early sixteenth-century Catalan manuscript and their possible sources", Historia Mathematica, 36/2 (2009), 113-136.

Resum
Aquest article se centra en algunes fonts que podrien haver inspirat un tipus molt interessant de diagrames de coeficients de expressions algebraiques que apareixen en un manuscrit català dels voltants del 1520 (l'anomenada Aritmètica de Sant Cugat, ACA, Fons de Sant Cugat, ms. 71). Aquests diagrames s'utilitzen en alguns problemes per representar i per operar les expressions algèbriques involucrades en el procés de resolució. En aquesta investigació ha estat necessari fer recerca dins diferents tradicions medievals. Joan Ventallol.

Sumari:
1. Introduction
2. The Catalan manuscript and the diagrams
2.1. General description of the diagrams
2.2. Some examples of the use of the diagrams
2.3. The possible relation of the diagrams with calculation boards
2.4. The importance of the study of mathematical diagrams
3. Algebraic operations in the works of al-Karajī and as-Samaw'al
4. A western Islamic source?
5. A Latin source?
6. An Italian source?
7. A Jewish source?
8. Conclusion
Acknowledgements
Appendix A. Images of some of the diagrams in Ms. 71 discussed in this article
References
Matèries
Aritmètica i geometria
Il·lustracions
URL
http:/​/​dx.doi.org/​10.1016/​j.hm.2008.10.003
What are the images?

The small images on the decorative ribbon correspond, from left to right, to the following documents: 1. James II orders the settlement of neighborhood disputes over an estate of the royal doctor Arnau de Vilanova in the city of Valencia. 1298 (ACA); 2. Contract between Guglielmo Neri de Santo Martino, a surgeon from Pisa, and the physician-surgeon from Majorca Pere Saflor, bachelor of medicine, to practise medicine and surgery under the latter’s direction, 1356 (ACM); 3. Valuation of the workshop of Guillem Metge, an apothecary from Barcelona, made by the apothecaries Miquel Tosell, Berenguer Duran and Vicenç Bonanat, for its sale to Llorenç Bassa, a fellow apothecary, 1364 (AHPB); 4. Peter III the Ceremonious regularizes the legal situation of Esteró, a Jewish female doctor from Vilafranca del Penedès, granting her an extraordinary license to practice medicine. 1384 (ACA); 5. Power of attorney of Margarida de Tornerons, a doctor in Prats de Molló and Vic, in order to recover the goods withheld from her by a third party in Vic, 1401 (ABEV); 6. Doctorate and teaching license of Narcís Solà, bachelor of medicine, issued by Bernat de Casaldòvol, doctor of medicine and chancellor of the Faculty of Medicine in Barcelona, 1526 (AHCB); and 7. Partnership between Joan Llunes and Joan Francesc Llunes, father and son, and Lluís Gual, the former’s son-in-law, surgeons of Caldes de Montbui, in order to practise the profession, 1579 (AHCB).