In Chapter 1 I structured the story of geometrical construction in early modern mathematics by distinguishing two overlapping periods, c. 1590 – c. 1650 and c. 1635 – c. 1750. I dealt with the first period in Part I. The overlap of the two periods was dominated by Descartes, whose ideas on construction I discussed in Part II. (The second period is not treated in the present study.1) Thus I have now reached the end of the first period, the era (cf. Section 1.5) of the early modern tradition of geometrical problem solving. In this epilogue I draw the lines of influence emanating from that tradition, concentrating on the concept of construction and the interpretation of exactness.
KeywordsRefraction Fermat Doxy
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