Historie de fractions / Fractions d’histoire (Science by P. Benoit, K. Chemla, J. Ritter

By P. Benoit, K. Chemla, J. Ritter

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Additional resources for Historie de fractions / Fractions d’histoire (Science Networks. Historical Studies) (French Edition)

Example text

Par exemple, dans Lerpression de 2 a partir de 19, il doit calculer le quart de 19 et il procede comme suit : 114 qui montre en outre le resultat suivant, d'apres les ecritures rouges : 2 : 19 = 12 76 114. Bien entendu, ces completions permettaient de mettre en evidence certaines relations du genre : 1 19 2 38 \ 4 4 = 5 12. Nous savons que le rouleau de cuir comporte de telles relations, par exemple : 4 = 5 20 ( 11) 76 4 Certaines fbis il oublie meme les inverses : voir, par exemple, dans Perpressiow de 2 a partir de 7 ou le scribe ecrit : 4 = 7 14 28.

En augmentant Q et 9, on obtient des raisons qui :< s'approchent ^ Les techniques en question permettent de trouver la solution de toute equation lineaire canonique A x = B. Une equation composee dim e somme de termes lineaires est reduite a la forme canonique en calculant la fonction, negligeant d'abord les termes contenant x (ce qui correspond a la valeur de la fonction pour x = 0), ce qui donne B, et puis negligeant les termes dans x (posant x = 1). ce qui donne A. Les systemes de deux equations lineaires furent en Mesopotamie reduits au systeme canonique ^ X = K = B, X — Y = D.

Hinrich s, Leipzig, 1877 [reimpression : Sandig, Wiesbaden, 1972]: T. Eric PEET, The Rhind Mathematical Papyrus. British Museum 10057 and 10058. Hodder & Stoughton (pour Liverpool University Press), Londres. 1923 [reim­ pression : Kraus. Liechtenstein 1970]: Arnold B. , The Rhind Afathematicai Papyrus (2 vols ), Mathematical Association of America. Oberlin. 1927-1929 (reedition abregee : The National Council of Teachers of Mathema­ tics. Reston, 1979)] Rouleau de cuir [Edition : Stephen R. K.

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