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bib3075 (23 / November / 2024)

Darrera modificació: 2017-05-08
Bases de dades: Sciència.cat, Mercaderia

Docampo Rey, Javier, "Reading Luca Pacioli's Summa in Catalonia: An early 16th-century Catalan manuscript on algebra and arithmetic", Historia Mathematica, 33/1 (2006), 43-62.

Resum
Aquest article se centra en l'àlgebra i l'aritmètica comercial d'un manuscrit català anònim de començaments del segle setze (l'anomenada Aritmètica de Sant Cugat, ACA, Fons de Sant Cugat, ms. 71). Més de la meitat del manuscrit consisteix en una sèrie de notes dedicades a algunes parts de la Summa de Arithmetica, Geometria, Proportioni et Proportionalità de Luca Pacioli, mentre que la resta està relacionada en la seva major part amb l'aritmètica mercantil de Joan Ventallol (1521). L'ús d'un nou tipus de diagrames per treballar amb equacions és especialment important. L'article posa nova llum en el conreu de l'àlgebra a la Península Ibèrica abans del 1552, quan va ser imprès el primer tractat d'àlgebra en castellà, el Libro Primero de Arithmética Algebrática de Marco Aurel.

Sumari:
1. The context
2. Description of the manuscript
3. Authorship: the connection with Joan Ventallol
4. Contents of the manuscript
4.1. Notations
4.2. The treatment of algebra
4.3. Commercial arithmetic: material not related to the Summa
4.4. A relevant problem on proportions
5. Diagrams for equations
6. Conclusion
Acknowledgements
Appendix A. Appendix
References
Matèries
Aritmètica i geometria
URL
http:/​/​dx.doi.org/​10.1016/​j.hm.2005.03.004
http:/​/​www.sciencia.cat/​biblioteca/​documents/​Docamp ...
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).