IsisCB Explore

Article ID: CBB000850085

Diagrams and Mathematical Reasoning: Some Points, Lines, and Figures (2006)

Maanen, Jan A. van (Author)

British Society for the History of Mathematics Bulletin
Volume: 21
Pages: 97--101

Outside Links

WorldCat

Google Scholar

JSTOR

Academia.edu

Mathematics Proof Diagrams Reasoning in science Geometry Visual representation; visual communication 17th century Netherlands Cardinael, Sybrandt Hansz

A well-composed diagram can explain more than thousand words. This holds especially for 'Proofs without words'. This article puts such proofs into a historical perspective and pays special attention to two examples proposed by the early seventeenth-century Dutch geometer Sybrandt Hansz Cardinael.

...More

Description Looks closely at the work of early 17th-century Dutch geometer Sybrandt Hansz Cardinael.

Citation URI

https://data.isiscb.org/isis/citation/CBB000850085/

Citations Indexes

Similar Citations

Article Sitters, M. H.; (2004)
Sybrandt Hansz. Cardinael (1578-1647). Een eigenzinnig meetkundige tussen Stevin en Huygens (/isis/citation/CBB000770577/)

Article Karine Chemla; (2018)
The Proof Is in the Diagram: Liu Yi and the Graphical Writing of Algebraic Equations in Eleventh-Century China (/isis/citation/CBB786651004/)

Article Dunlop, Katherine; (2012)
The Mathematical Form of Measurement and the Argument for Proposition I in Newton's Principia (/isis/citation/CBB001211480/)

Article Melissa Lo; (2017)
The Picture Multiple: Figuring, Thinking, and Knowing in Descartes's Essais (1637) (/isis/citation/CBB074990525/)

Article De Pierris, Graciela; (2012)
Hume on Space, Geometry, and Diagrammatic Reasoning (/isis/citation/CBB001211479/)

Book Bevilacqua, Fabio; Fregonese, Lucio; (2000)
Nuova Voltiana: Studies on Volta and His Times. Volume 2 (/isis/citation/CBB000110617/)

Article Eunsoo Lee; (2018)
Let the Diagram Speak: Compass Arcs and Visual Auxiliaries in Printed Diagrams of Euclid’s Elements (/isis/citation/CBB251198802/)

Article Barany, Michael J.; (2012)
“That small and unsensible shape”: Visual Representations of the Euclidean Point in Sixteenth-Century Print (/isis/citation/CBB001212091/)

Book Greaves, Mark; (2002)
The Philosophical Status of Diagrams (/isis/citation/CBB000502562/)

Article Gupta, R. C.; (2007)
Yantras or Mystic Diagrams: A Wide Area for Study in Ancient and Medieval Indian Mathematics (/isis/citation/CBB000720222/)

Article Raynaud, Dominique; (2014)
Building the Stemma Codicum from Geometric Diagrams (/isis/citation/CBB001321046/)

Article Jullien, Vincent; (2011)
Le Calcul Logique de Roberval (/isis/citation/CBB001220639/)

Article Jens Lemanski; (2017)
Periods in the Use of Euler-Type Diagrams (/isis/citation/CBB440930043/)

Chapter Saito, Ken; Sidoli, Nathan; (2012)
Diagrams and Arguments in Ancient Greek Mathematics: Lessons Drawn from Comparisons of the Manuscript Diagrams with Those in Modern Critical Editions (/isis/citation/CBB001320140/)

Article Smadja, Ivahn; (2012)
Local Axioms in Disguise: Hilbert on Minkowski Diagrams (/isis/citation/CBB001211483/)

Chapter Dijksterhuis, Fokko Jan; (2011)
Moving around the Ellipse. Conic Sections in Leiden, 1620--1660 (/isis/citation/CBB001221243/)

Chapter Mersch, Dieter; (2008)
Representation and Distortion: On the Construction of Rationality and Irrationality in Early Modern Modes of Representation (/isis/citation/CBB000831232/)

Thesis La Nave, Federica; (2005)
Belief Without Proof from Ancient Geometry to Renaissance Algebra (/isis/citation/CBB001560809/)

Article Vitrac, Bernard; (2004)
A Propos des Démonstrations Alternatives et Autres Substitutions de Preuves Dans les Éléments d'Euclide (/isis/citation/CBB000500493/)

Article Andrea Del Centina; Alessandra Fiocca; (2021)
The chords theorem recalled to life at the turn of the eighteenth century (/isis/citation/CBB673858384/)

Comments

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