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Redefining Geometrical Exactness

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Cover of 'Redefining Geometrical Exactness'

Table of Contents

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    Book Overview
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    Chapter 1 General introduction
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    Chapter 2 The legitimation of geometrical procedures before 1590
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    Chapter 3 1588: Pappus’ “Collection”
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    Chapter 4 The early modern tradition of geometrical problem solving; survey and examples
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    Chapter 5 Early modern methods of analysis
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    Chapter 6 Arithmetic, geometry, algebra, and analysis
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    Chapter 7 Using numbers in geometry — Regiomontanus and Stevin
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    Chapter 8 Using algebra — Viète’s analysis
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    Chapter 9 Clavius
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    Chapter 10 Viète
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    Chapter 11 Kepler
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    Chapter 12 Molther
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    Chapter 13 Fermat
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    Chapter 14 Geometrical problem solving — the state of the art c. 1635
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    Chapter 15 Introduction to Part II
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    Chapter 16 Construction and the interpretation of exactness in Descartes’ studies of c. 1619
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    Chapter 17 Descartes’ general construction of solid problems c. 1625
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    Chapter 18 Problem solving and construction in the “Rules for the direction of the mind” (c. 1628)
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    Chapter 19 Descartes’ first studies of Pappus’ problem (early 1632)
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    Chapter 20 The Geometry , introduction and survey
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    Chapter 21 Algebraic operations in geometry
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    Chapter 22 The use of algebra in solving plane and indeterminate problems
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    Chapter 23 Descartes’ solution of Pappus’ problem
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    Chapter 24 Curves and the demarcation of geometry in the Geometry
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    Chapter 25 Simplicity and the classification of curves
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    Chapter 26 The canon of geometrical construction
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    Chapter 27 The theory of equations in the Geometry
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    Chapter 28 Conclusion of Part II
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    Chapter 29 Epilogue
Overall attention for this book and its chapters
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Citations

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Title
Redefining Geometrical Exactness
Published by
Springer-Verlag New York, January 2001
DOI 10.1007/978-1-4613-0087-8
ISBNs
978-1-4613-0087-8, 978-1-4612-6521-4
Authors

Henk J.M. Bos, Bos, Henk J. M.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 7 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 14%
Unknown 6 86%

Demographic breakdown

Readers by professional status Count As %
Professor 3 43%
Student > Ph. D. Student 1 14%
Researcher 1 14%
Other 1 14%
Unknown 1 14%
Readers by discipline Count As %
Philosophy 2 29%
Mathematics 2 29%
Arts and Humanities 1 14%
Computer Science 1 14%
Unknown 1 14%