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" Redefining geometrical exactness : "
Henk J M Bos
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BL
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| Record Number
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720298
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b539993
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| Main Entry
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Henk J M Bos
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| Title & Author
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Redefining geometrical exactness : : descartes' transformation of the early modern concept of ...\ Henk J M Bos
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| Publication Statement
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[Place of publication not identified]: Springer, 2013
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| ISBN
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1461300878
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: 9781461300878
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| Contents
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1 General introduction.- 2 The legitimation of geometrical procedures before 1590.- 3 1588: Pappus' "Collection".- 4 The early modern tradition of geometrical problem solving; survey and examples.- 5 Early modern methods of analysis.- 6 Arithmetic, geometry, algebra, and analysis.- 8 Using algebra - Viete's analysis.- 9 Clavius.- 10 Viete.- 11 Kepler.- 12 Molther.- 13 Fermat.- 14 Geometrical problem solving -the state of the art c. 1635.- 15 Introduction to Part II.- 16 Construction and the interpretation of exactness in Descartes' studies of c. 1619.- 17 Descartes' general construction of solid problems c. 1625.- 18 Problem solving and construction in the "Rules for the direction of the mind" (c. 1628).- 19 Descartes' first studies of Pappus' problem (early 1632).- 20 The Geometry, introduction and survey.- 21 Algebraic operations in geometry.- 22 The use of algebra in solving plane and indeterminate problems.- 23 Descartes' solution of Pappus' problem.- 24 Curves and the demarcation of geometry in the Geometry.- 25 Simplicity and the classification of curves.- 26 The canon of geometrical construction.- 27 The theory of equations in the Geometry.- 28 Conclusion of Part II.- 29 Epilogue.- List of problems.- Name Index.
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| LC Classification
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QA464.H465 2013
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Henk J M Bos
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