Rationalité, exprimabilité: une relecture médiévale du livre X des Éléments d'Euclide (2001)
In this paper, we study the reception of Euclid's Elements by a 13th century mathematician: Campanus. We are interested in the nature of his work on Book X, and its theory of irrationality. In Robert of Chester's version, which Campanus used for his edition, two non euclidean notions appear, the notion of straight lines `rational in length' and `rational in power'. We ask the question if the introduction of these notions lead to a theory which is different from Euclid's. To answer that question, we examine the first definitions of Book X and some theorems of Book XIII, to which Campanus gives some additions called for by the introduction of the above notions.
...MoreDescription Studies the reception of Euclid's Elements by the 13th-century mathematician Campanus.
Similar Citations
Article
Rommevaux, Sabine;
(2007)
La similitude des équimultiples dans la définition de la proportion non continue de l'édition des Éléments d'Euclide par Campanus: une difficulté dans la réception de la théorie des proportions au Moyen Âge
(/isis/citation/CBB000930657/)
Book
Busard, H. L. L.;
(2005)
Campanus of Novara and Euclid's Elements
(/isis/citation/CBB000740233/)
Article
Abdounur, Oscar João;
(2009)
A Preliminary Survey on the Emergence of an Arithmetical Theory of Ratios
(/isis/citation/CBB000933568/)
Article
Murdoch, John E.;
(2003)
Transmission into Use: The Evidence of marginalia in the Medieval Euclides latinus
(/isis/citation/CBB000770965/)
Book
Folkerts, Menso;
(2006)
The Development of Mathematics in Medieval Europe: The Arabs, Euclid, Regiomontanus
(/isis/citation/CBB000610313/)
Article
Takahashi, Ken'ichi;
(2001)
A Manuscript of Euclid's De speculis: A Latin Text of MS 98.22 of the Archivo y Biblioteca Capitulares de la Catedral, Toledo
(/isis/citation/CBB000102365/)
Book
Violet Moller;
(2020)
The Map of Knowledge: A Thousand-Year History of How Classical Ideas Were Lost and Found
(/isis/citation/CBB401001470/)
Article
Rommevaux, Sabine;
(2003)
La réception des Éléments d'Euclide au Moyen Age et à la Renaissance
(/isis/citation/CBB000770960/)
Article
De Young, Gregg;
(2012)
Mathematical Diagrams from Manuscript to Print: Examples from the Arabic Euclidean Transmission
(/isis/citation/CBB001211477/)
Article
Young, Gregg de;
(2004)
The Latin Translation of Euclid's Elements Attributed to Gerard of Cremona in Relation to the Arabic Transmission
(/isis/citation/CBB000931713/)
Book
Berlinski, David;
(2013)
The King of Infinite Space: Euclid and His Elements
(/isis/citation/CBB001213232/)
Chapter
Rommevaux, Sabine;
(2004)
Les prologues aux éditions des Eléments d'Euclide au Moyen Age et à la Renaissance
(/isis/citation/CBB000640965/)
Book
Oresme, Nicole;
Busard, H. L. L.;
(2010)
Nicole Oresme, Questiones super geometriam Euclidis
(/isis/citation/CBB001231905/)
Book
Suppes, Patrick;
Moravcsik, Julius M.;
Mendell, Henry;
(2000)
Ancient & Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr
(/isis/citation/CBB000101823/)
Book
Michael J. Sauter;
(2018)
The Spatial Reformation: Euclid Between Man, Cosmos, and God
(/isis/citation/CBB243303288/)
Chapter
Hélène Bellosta;
(2012)
La destinée arabe des Données d’Euclide
(/isis/citation/CBB209738412/)
Article
Corry, Leo;
(2013)
Geometry and Arithmetic in the Medieval Traditions of Euclid's Elements: A View from Book II
(/isis/citation/CBB001213490/)
Chapter
Celeyrette, Jean;
Mazet, Edmond;
(2005)
Nicole Oresme. Notice Questions sur la Physique, livre III, question 12; Questions sur la Géometrie d'Euclide, questions 1 et 2
(/isis/citation/CBB000640976/)
Article
Ilana Wartenberg;
(2020)
A Non-Linear Transmission of Euclid's Elements in a Medieval Hebrew Calendrical Treatise
(/isis/citation/CBB438271084/)
Article
Biard, Joël;
(2003)
Mathématiques et philosophie dans les Questions de Blaise de Parme sur le Traité des rapports de Thomas Bradwardine
(/isis/citation/CBB000770966/)
Be the first to comment!