Abstract

SUMMARY The first part of the paper aims to give an account of the historical and philological events during the period of the circulation, diffusion and publication of the posthumous Cartesian manuscripts on mathematics catalogued at Stockholm in 1650. Also considered is the role of the contemporaries such as: Claude Clerselier, Nicolas Poisson, Adrien Baillet and Leibniz. In order to reconstruct the most important contents of the Swedish catalogue (the reductio inter quantitates, the use of the «novi circini», the connection of two proportional means, the proportional theory as paradigm of knowledge, and the third and fourth grade equations) the paper will focused on analysis of the early works of physico-mathesis written by Descartes between 1619 and 1628. From these considerations emerges an understanding of which of these works can probably have anticipated his main work: the Geometry.

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