Titlebook: Redefining Geometrical Exactness; Descartes’ Transform Henk J. M. Bos Book 2001 Springer-Verlag New York, Inc. 2001 Canon.Discard.Mathemati

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Claviusincipal dynamics in that field, and the questions of legitimation that were raised in relation to this process, I now turn to the actual debates on the interpretation of geometrical exactness with respect to constructions.

Obvious

Vièteted to his ideas about construction. As we have seen, Viète considered problem solving by means of algebra as consisting of three parts, zetetics, poristics, and exegetics. Construction belonged to the exegetical part of geometrical problem solving. Two of Viète’s treatises were specially devoted to

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Kepleris of the concept of constructibility, as well as a precise and sharp criticism of the constructional practices of contemporary geometers and their use of algebra. For Kepler the issue was of central philosophical importance, and for that reason his analysis of constructional exactness in geometry w

Gingivitis

Fermat general introduction (cf. Section 1.5), I consider this development as the principal dynamics within the early modern tradition of geometrical problem solving. Yet Fermat figures less prominently in my story than Viète, and much less so than Descartes. The reason is that, although Fermat was strong

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Introduction to Part II the structure of the story of construction (Section 1.3) as consisting of two periods and one central figure, Descartes. As in Part I, my primary subject is geometrical construction, and my main objective is to understand the processes involved in the interpretation of mathematical exactness. In th

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Construction and the interpretation of exactness in Descartes’ studies of c. 1619te to Beeckman in early 1619. In the second of these, dated 26 March 1619, Descartes formulated a program for his future investigations. The text is deservedly famous;. it shows how Descartes at an early age charted his scientific quest with remarkable clarity and determination. For my present purpo

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