Article ID: CBB001022144

A Dialogue on the Use of Arithmetic in Geometry: Van Ceulen's and Snellius's Fundamenta Arithmetica et Geometrica (2010)

unapi

Wreede, Liesbeth C. de (Author)


Historia Mathematica
Volume: 37
Pages: 376--402
Publication date: 2010
Language: English


Publication Date: 2010
Edition Details: Part of a special issue, “Contexts, Emergence and Issues of Cartesian Geometry”

Snellius's Fundamenta Arithmetica et Geometrica (1615) is much more than a Latin translation of Ludolph van Ceulen's Arithmetische en Geometrische Fondamenten. Willebrord Snellius both adapted and commented on the Dutch original in his Fundamenta, and thus his Latin version can be read as a dialogue between representatives of two different approaches to mathematics in the early modern period: Snellius's humanist approach and Van Ceulen's practitioner's approach. This article considers the relationship between the Dutch and Latin versions of the text and, in particular, puts some of their statements on the use of numbers in geometry under the microscope. In addition, Snellius's use of the Fundamenta as an instrument to further his career is explained.

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Description “Considers the relationship between the Dutch and Latin versions of the text [particularly] their statements on the use of numbers in geometry.” (from the abstract)


Included in

Article Maronne, Sébastien (2010) Contexts, Emergence and Issues of Cartesian Geometry: In Honour of Henk Bos's 70th Birthday. Historia Mathematica (p. 341). unapi

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Authors & Contributors
Hogendijk, Jan P.
De Young, Gregg
Marchisotto, Elena Anne Corie
Smith, James T.
Arquímedes
Brentjes, Sonja
Journals
Suhayl: Journal for the History of the Exact and Natural Sciences in Islamic Civilisation
Aleph: Historical Studies in Science and Judaism
Arabic Sciences and Philosophy
Farhang
Historia Mathematica
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Publishers
Birkhäuser Basel
Real Sociedad Matemática Española
Birkhäuser
Les Belles Lettres
Presses Universitaires de France
Verlag der Bayerischen Akademie der Wissenschaften
Concepts
Mathematics
Geometry
Translations
Arab/Islamic world, civilization and culture
Transmission of texts
Manuscripts
People
Euclid
Archimedes
Ceulen, Ludolf van
Pieri, Mario
Abner, of Burgos
al-Kāshī, Jamshīd Ibn Maḥmūd Ghyāth al-Dīn
Time Periods
Medieval
Ancient
16th century
19th century
12th century
13th century
Places
Greece
China
Europe
Italy
Spain
Mediterranean region
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