The Euclidean ideal of proof in The Elements and philological uncertainties of Heiberg's edition of the text

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2007

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Euclid Elements proof indirect medieval tradition edition history of the text Zamberti Peyrard Heiberg Knorr


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Bernard Vitrac, « The Euclidean ideal of proof in The Elements and philological uncertainties of Heiberg's edition of the text », Hyper Article en Ligne - Sciences de l'Homme et de la Société, ID : 10670/1.q1ebfl


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Abstract 0

In this chapter, I study the history of the text of Euclid's Elements including the use of the indirect medieval tradition in arabic and latin. I discuss the positions of Heiberg and Knorr. I propose a typology of the volontary alterations of Euclid's text during its transmission. Some textual criterias can be used to choice between local variants but they do not converge at the global level of an Ancient or medieval Version. The choice depends on the type of change (addition/deletion; change the order of exposition or proofs' modifications) ; it depends too of the Book or the kind of textual units concerned (Definition;Proposition;Porism;Lemma).

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