Article ID: CBB001022143

The Scholar and the Fencing Master: The Exchanges between Joseph Justus Scaliger and Ludolph Van Ceulen on the Circle Quadrature (1594--1596) (2010)

unapi

Hogendijk, Jan P. (Author)


Historia Mathematica
Volume: 37
Pages: 345--375
Publication date: 2010
Language: English


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

In Chapter 21 of Vanden Circkel (On the Circle) [Van Ceulen, 1596], the arithmetic teacher and fencing master Ludolph van Ceulen published his analysis of 16 propositions which had been submitted to him by an anonymous highly learned man. In this paper, the author of the propositions will be identified as the classicist and humanist Joseph Justus Scaliger (1540-1609), who lived in the city of Leiden, just like Van Ceulen. The whole Chapter 21 of Van Ceulen's Vanden Circkel turns out to be a criticism of Scaliger's Cyclometrica (1594), a work which includes a false circle quadrature and many other incorrect theorems. The exchanges between Van Ceulen and Scaliger are analyzed in this paper and related to difference in social status and to different approaches to mathematics.

...More
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

Citation URI
stagingisis.isiscb.org/p/isis/citation/CBB001022143

This citation is part of the Isis database.

Similar Citations

Chapter Miert, Dirk van; (2012)
The French Connection: From Casaubon and Scaliger, via Saumaise, to Isaac Vossius unapi

Chapter Hogendijk, Jan P.; (2007)
Similar Mathematics in Different Cultures: Jamshīd al-Kāshī and Ludolph van Ceulen on the Determination of π unapi

Article Wreede, Liesbeth C. de; (2010)
A Dialogue on the Use of Arithmetic in Geometry: Van Ceulen's and Snellius's Fundamenta Arithmetica et Geometrica unapi

Article Hogendijk, Jan P.; (2008-2009)
Al-Kāshī's Determination of π to 16 Decimals in an Old Manuscript unapi

Article Grafton, A.; (1979)
Rhetoric, philology, and Egyptomania in the 1570s: J. J. Scaliger's invective against M. Guilandinus's Papyrus unapi

Article Grafton, Anthony; (1985)
From De dei natali to De emendatione temporum: The origins and setting of Scaliger's chronology unapi

Book Grafton, Anthony; (1993)
Joseph Scaliger: A study in the history of classical scholarship. II: Historical chronology unapi

Article Grafton, Anthony T.; (1975)
Joseph Scaliger and historical chronology: The rise and fall of a discipline unapi

Chapter Vermij, Rienk; (1996)
Mathematics at Leiden: Stevin, Snellius, Scaliger unapi

Book Evan R. Ragland; (2022)
Making Physicians: Tradition, Teaching, and Trials at Leiden University, 1575-1639 unapi

Article Klerk, Saskia; (2014)
The Trouble with Opium. Taste, Reason and Experience in Late Galenic Pharmacology with Special Regard to the University of Leiden (1575--1625) unapi

Chapter Gregory Grämiger; (2016)
Reconstructing Order: The Spatial Arrangements of Plants in the Hortus Botanicus of Leiden University in Its First Years unapi

Book Prögler, Daniela; (2013)
English Students at Leiden University, 1575--1650: “Advancing Your Abilities in Learning and Bettering Your Understanding of the World and State Affairs.” unapi

Chapter Aleida Offerhaus; Anastasia Stefanaki; Tinde van Andel; (2023)
Not just a Garden of Simples: Arranging the Growing Floristic Diversity in the Leiden Botanical Garden (1594–1740) unapi

Thesis Laura Ellen Cruz; (2001)
The paradox of prosperity: The Leiden booksellers' guild and the distribution of books in early modern Europe unapi

Article Chassagnette, Axelle; (2006)
La géométrie appliquée à la sphère terrestre: Le De Dimensione terrae (1550) de Caspar Peucer unapi

Book Roberts, Gareth; Smith, Fenny; (2012)
Robert Recorde: The Life and Times of a Tudor Mathematician unapi

Article Katz, Karin Usadi; Katz, Mikhail G.; (2012)
Stevin Numbers and Reality unapi

Book Rommevaux, Sabine; (2010)
Mathématiques et connaissance du monde réel avant Galilée unapi

Article Gessner, Samuel; (2010)
Savoir manier les instruments: la géométrie dans les écrits italiens d'architecture (1545--1570) unapi

Authors & Contributors
Grafton, Anthony T.
Hogendijk, Jan P.
Chassagnette, Axelle
Gessner, Samuel
Katz, Karin Usadi
Katz, Mikhail G.
Journals
Journal of the Warburg and Courtauld Institutes
Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period
Foundations of Science
Histoire & Mesure
Historia Mathematica
History and Theory
Publishers
University of California, Berkeley
Ashgate
Brill
Clarendon Press
Omniscience
University of Wales Press
Concepts
Mathematics
Geometry
Arab/Islamic world, civilization and culture
Architecture
Translations
Transmission of texts
People
Scaliger, Joseph Juste
Ceulen, Ludolf van
Snellius, Rudolf
Stevin, Simon
al-Kāshī, Jamshīd Ibn Maḥmūd Ghyāth al-Dīn
Archimedes
Time Periods
16th century
Renaissance
17th century
Medieval
15th century
18th century
Places
Leiden (Netherlands)
Netherlands
Great Britain
France
Italy
Flanders
Institutions
Universiteit Leiden
Universität Wittenberg
Comments

Be the first to comment!

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

Log in or register to comment