000			01836cam a2200349 4500500
005			20250121124909.0
041			_afre
042			_adc
100	1	0	_aLê, François _eauthor
245	0	0	_aNumbers and taxa: Remarks on the orders, classes and genera of algebraic curves
260			_c2023.
500			_a11
520			_aThis paper deals with the history of the classifications of algebraic curves that have been associated with the notions of order, class, and genera, the paternities of which are usually attributed to Isaac Newton (1704), Joseph Diez Gergonne (1828), and Alfred Clebsch (1865), respectively. The corresponding episodes are revisited with regard to the issue of classification, and are embedded in a larger narrative with the help of corpuses of texts that allow following the circulation and the collective adoption of the three notions from Descartes’ La Géométrie (1637) to the end of the 19th century. In addition to terminological questions, special care is given to the instability of both the meanings of, and the hierarchy between orders, classes, and genera, as well as to the transition of their status of categories to their status of numbers.
690			_aorder
690			_amathematical taxa
690			_aclassifications
690			_ahistory of geometry
690			_aclass
690			_agenus
690			_aurves
690			_aalgebraic
690			_aorder
690			_amathematical taxa
690			_aclassifications
690			_ahistory of geometry
690			_aclass
690			_agenus
690			_aurves
690			_aalgebraic
786	0		_nRevue d’histoire des sciences | Volume 76 | 1 | 2023-06-15 | p. 85-134 | 0151-4105
856	4	1	_uhttps://shs.cairn.info/journal-revue-d-histoire-des-sciences-2023-1-page-85?lang=en&redirect-ssocas=7080
999			_c564197 _d564197