CARDAN, Jérôme (1501-1576) - photo 1
CARDAN, Jérôme (1501-1576) - photo 2
CARDAN, Jérôme (1501-1576) - photo 3
CARDAN, Jérôme (1501-1576) - photo 4

CARDAN, Jérôme (1501-1576)

Lot 118
22.11.2023 14:00UTC +01:00
Classic
Sold
€ 21 420
AuctioneerCHRISTIE'S
Event locationFrance, Paris
Archive
The auction is completed. No bids can be placed anymore.
Archive
ID 1079642
Lot 118 | CARDAN, Jérôme (1501-1576)
Estimate value
€ 5 000 – 7 000
CARDAN, Jérôme CARDAN (1501-1576)

Artis Magnae, sive de regulis algebraicis, lib.unus, qui et totius operis de arithmetica…[Nuremberg : Johann Petreius, 1545].

Édition originale du maître-ouvrage de Cardan. Outre de nombreuses idées novatrices, en mathématiques et en algèbre, le nom de Cardan est aussi lié à une grande controverse. L’un des confrères de Cardan, Niccolò Tartaglia (1499-1557), outre de nombreux travaux liés à la balistique, serait à l’origine de la résolution générale des équations du troisième degré. Il aurait trouvé cette solution lors d’un concours mathématique, mais ne l’aurait pas immédiatement rendue publique. Cardan le convainc de lui dévoiler sa méthode, en promettant de ne jamais la publier. Apprenant qu’un troisième mathématicien, Scipione del Ferro, avait de son côté publié sa méthode de résolution, Cardan se juge délié de sa promesse, et intègre donc la solution confiée par Tartaglia dans Ars Magna (voir PMM, n° 66).

La réaction de Tartaglia ne se fait pas attendre : furieux, il publie dès l’année suivante, en 1546, Quesiti et inventioni diverse où il expose sa version de l’histoire, et la trahison de Cardan. L’escalade des invectives et droits de réponse par ouvrages interposés amènera les deux scientifiques à un débat public à Milan, en 1548.

Reste que la postérité a tranché – la méthode de résolution porte aujourd’hui le nom de méthode de Cardan.



USTC : 662810 ; Brunet, I, col. 1574 ; Graesse, II, p. 45 (Brunet comme Graesse n’ont pas vu l’édition, et ne la citent que d’après la vente Butsch) ; Haskell F. Norman, I, n°400 : “Cardano’s Ars magna systematically presented many new ideas in algebra, including the famous method, obtained from Tartaglia, and published without Tartaglia’s consent, for solving reduced third-degrees equations…On the basis of this work, Cardano is considered the originator of the theory of algebraic equations” ; Adams C-651 ; Dibner, Heralds, 103.



In-4 (292 x 195 mm). Portrait de l‘auteur en médaillon sur le titre, lettrines et diagrammes dans le texte, le tout gravé sur bois (mouillures dans l'ensemble du volume, quelques rousseurs).

Reliure ancienne probablement de réemploi : vélin souple, avec lacets, titre et ornement à l’encre sur le dos, gardes (renouvelées) de papier marbré.

Provenance : sur le titre, mention manuscrite du XVIIIe siècle : « No esta prohibido, I le permite esta practica super est expuas de 1707… » ( ?) -- Manuel de Foronda y Gómez (ex-libris).



First edition of Cardano's greatest work in mathematics.



Place of origin:Western Europe, Germany, Italy, Europe
Auction house category:Books
Address of auction CHRISTIE'S
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20.11.2023
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