IsisCB Explore

Article ID: CBB863240324

On Arnauld’s geometry of straight lines (2023)

Anabel áuregui-Hernández (Author)

Almagest
Volume: 14
Issue: 2
Pages: 176-187
Publication date: 2023
Language: English

URI: https://www.brepolsonline.net/doi/abs/10.1484/J.ALMA.5.136765

DOI: 10.1484/J.ALMA.5.136765

Outside Links

WorldCat

Google Scholar

JSTOR

In the 17th century, Antoine Arnauld published his work Nouveaux Elements de Geometrie. Through this, he put into practice some methodical principles introduced in his previous work, Logique de Port Royal. This resulted in the reconstruction of elementary plane geometry with respect to its traditional form in Euclid’s Elements. In this article we will emphasize the coherence of Arnauld’s reconstruction project, and we will present one of its most notorious and novel parts, which is a “geometry of straight lines” independent of the notion of angle and of the properties of plane figures.

...More

Included in

Article Vincent Jullien; Carmen Martínez-Adame (2023) Foreward. Almagest (pp. 6-14). unapi

Citation URI

data.isiscb.org/p/isis/citation/CBB863240324

This citation is part of the Isis database.

Citations Indexes

Similar Citations

Article Laura Kotevska; (2021)
Moral improvement through mathematics: Antoine Arnauld and Pierre Nicole’s Nouveaux éléments de géométrie (/p/isis/citation/CBB373036205/)

Article Viktor Blåsjö; (2023)
Newton on constructions in geometry (/p/isis/citation/CBB393358626/)

Article François Lê; (2023)
Des taxons et des nombres : Quelques remarques sur les ordres, classes et genres des courbes algébriques (/p/isis/citation/CBB219185162/)

Article Lamandé, Pierre; (2013)
Quelques conceptions de la théorie des proportions dans des traités de la seconde moitié du dix-septième siècle (/p/isis/citation/CBB001213489/)

Book Schmaltz, Tad M.; (2002)
Radical Cartesianism: The French Reception of Descartes (/p/isis/citation/CBB000302043/)

Article Marie Anglade; Jean-Yves Briend; (2019)
Le diamètre et la traversale: dans l’atelier de Girard Desargues (/p/isis/citation/CBB839877885/)

Article Domski, Mary; (2013)
Kant and Newton on the a priori Necessity of Geometry (/p/isis/citation/CBB001320266/)

Chapter Caroline O. Fowler; 7. The Point and Its Line: An Early Modern History of Movement (/p/isis/citation/CBB005997448/)

Article Maronne, Sébastien; (2010)
The Ovals in the “Excerpta Mathematica” and the Origins of Descartes' Method of Normals (/p/isis/citation/CBB001022147/)

Article Mo, De; (2004)
Some Problems of Cartesian Research (/p/isis/citation/CBB000401196/)

Article Susana Gómez López; (2016)
The Encounter of the Emblematic Tradition with Optics: The Anamorphic Elephant of Simon Vouet (/p/isis/citation/CBB134420604/)

Article Mancosu, Paolo; Arana, Andrew; (2010)
Descartes and the Cylindrical Helix (/p/isis/citation/CBB001022145/)

Chapter Raman, Shankar; (2012)
Constructing Selves, Making Publics: Geometry and Poetry in Descartes and Sidney (/p/isis/citation/CBB001201597/)

Article Martin, John N.; (2013)
Distributive Terms, Truth, and the Port Royal Logic (/p/isis/citation/CBB001212144/)

Article Jacques, E.; (1974)
Arnauld, Cassini et la comète de 1680 (/p/isis/citation/CBB000002109/)

Article Cook, Monte; (1996)
Descartes and the dustbin of the mind (/p/isis/citation/CBB000067579/)

Book Ariew, Roger; Grene, Marjorie; (1995)
Descartes and his contemporaries: Meditations, objections, and replies (/p/isis/citation/CBB000068303/)

Article Cook, Monte; (1974)
Arnauld's alleged representationalism (/p/isis/citation/CBB000011506/)

Book Gottfried Wilhelm Leibniz; Antoine Arnauld; Ernst, Landgrave of Hessen-Rheinfels; Stephen Voss; (2016)
The Leibniz-Arnauld Correspondence: With Selections from the Correspondence with Ernst, Landgrave of Hessen-Rheinfels (/p/isis/citation/CBB484194369/)

Article Gardies, Jean-Louis; (1982)
L'interprétation d'Euclide chez Pascal et Arnauld (/p/isis/citation/CBB000004941/)