Article ID: CBB437312285

Some Distributivity-Like Results in the Medieval Arithmetic of Jordanus Nemorarius and Campanus De Novara (2016)

unapi

The present article explores the treatment of some distributivity-like properties in the works of Jordanus Nemorarius and Campanus de Novara. The perspective afforded by this analysis gives rise to some interesting insights concerning medieval attitudes towards the relationship between geometry and arithmetic, in particular as part of the Euclidean tradition. It also sheds interesting light on medieval conceptions about arithmetic as an autonomous discipline requiring its own proper foundation. El presente artículo discute la forma en que propiedades quasi-distributivas de las operaciones aritméticas son presentadas en las obras de Jordanus Nemorarius y Campanus de Novara. La perspectiva ofrecida por este análisis trae a luz algunas observaciones interesantes sobre las actitudes medievales concernientes a la relación entre la geometría y la aritmética, y en particular en lo que corresponde a la tradición euclidiana. La discusión también arroja luz sobre las concepciones medievales de la aritmética como disciplina autónoma que requiere una fundamentación propia y adecuada.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB437312285/

Similar Citations

Chapter Busard, H.L.L.; (1992)
The Arithmetica of Jordanus Nemorarius (/isis/citation/CBB000043380/)

Article Hughes, Barnabas; (1989)
The arithmetical triangle of Jordanus de Nemore (/isis/citation/CBB000062539/)

Article Sabine Rommevaux-Tani; (2019)
L’unité et le nombre dans les Questiones mathematice de Raoul le Breton (/isis/citation/CBB890036245/)

Article Aradi, Naomi; (2013)
An Unknown Medieval Hebrew Anonymous Treatise on Arithmetic (/isis/citation/CBB001213461/)

Chapter Stevens, Wesley M.; (2002)
Fields and Streams: Language and Practice of Arithmetic and Geometry in Early Medieval Schools (/isis/citation/CBB000350350/)

Article Raynaud, Dominique; (2008)
Geometrical and Arithmetical Methods in Early Medieval Perspective (/isis/citation/CBB001024083/)

Article Lévy, Tony; Burnett, Charles; (2006)
Sefer ha-Middot: A Mid-Twelfth-Century Text on Arithmetic and Geometry Attributed to Abraham Ibn Ezra (/isis/citation/CBB000740120/)

Article Hughes, Barnabas; (2010)
An Early Abridgement of Fibonacci's De practica geometrie (/isis/citation/CBB001022154/)

Chapter Folkerts, Menso; Lorch, Richard; (2007)
The Arabic Sources of Jordanus de Nemore (/isis/citation/CBB001024050/)

Article Giannetto, E.; Maccarrone, G.D.; Pappalardo, S.; Tinè, A.; (1992)
Impulsus and impetus in the Liber Jordani de ratione ponderis (/isis/citation/CBB000029898/)

Thesis Thomson, Ron B.; ()
Thirteenth-century mathematical astronomy: De plana spere Jordani (/isis/citation/CBB000010070/)

Book Jordanus Nemorarius, ; (1981)
De numeris datis: A critical edition and translation by Barnabas Bernard Hughes (/isis/citation/CBB000019102/)

Authors & Contributors
Jordanus Nemorarius
Hughes, Barnabas
Sammarchi, Eleonora
Rommevaux-Tani, Sabine
Tinè, A.
Thomson, Ron B.
Journals
Médiévales
Historia Mathematica
Aleph: Historical Studies in Science and Judaism
Physis: Rivista Internazionale di Storia della Scienza
Mediaeval Studies
Archive for History of Exact Sciences
Publishers
University of California Press
Steiner
Pontifical Institute of Mediaeval Studies
American Philosophical Society
Concepts
Arithmetic
Geometry
Mathematics
Manuscripts
Algebra
Spherical astronomy; astrometry
People
Jordanus Nemorarius
al-Zanjani, Sayyid Ibrahim al-Musawi
Brito, Radulphus
al-Karaji, Abū Bakr Muḥammad ibn al Ḥasan
Ibn Ezra, Abraham Ben Meir
Abraham Ben Ezra
Time Periods
Medieval
13th century
15th century
14th century
12th century
Renaissance
Places
Bologna (Italy)
Italy
Paris (France)
Institutions
Université de Paris
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment