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Clavius
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Author(s):
Henk J. M. Bos
Publication date
(Print):
2001
Publisher:
Springer New York
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Book Chapter
Publication date (Print):
2001
Pages
: 159-166
DOI:
10.1007/978-1-4613-0087-8_9
SO-VID:
fda59b79-8ae1-4bc3-89ad-8ad9eabfa15c
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Book chapters
pp. 3
General introduction
pp. 23
The legitimation of geometrical procedures before 1590
pp. 37
1588: Pappus’ “Collection”
pp. 59
The early modern tradition of geometrical problem solving; survey and examples
pp. 95
Early modern methods of analysis
pp. 119
Arithmetic, geometry, algebra, and analysis
pp. 135
Using numbers in geometry — Regiomontanus and Stevin
pp. 145
Using algebra — Viète’s analysis
pp. 159
Clavius
pp. 167
Viète
pp. 183
Kepler
pp. 195
Molther
pp. 205
Fermat
pp. 211
Geometrical problem solving — the state of the art c. 1635
pp. 225
Introduction to Part II
pp. 231
Construction and the interpretation of exactness in Descartes’ studies of c. 1619
pp. 255
Descartes’ general construction of solid problems c. 1625
pp. 261
Problem solving and construction in the “Rules for the direction of the mind” (c. 1628)
pp. 271
Descartes’ first studies of Pappus’ problem (early 1632)
pp. 285
The Geometry, introduction and survey
pp. 293
Algebraic operations in geometry
pp. 303
The use of algebra in solving plane and indeterminate problems
pp. 313
Descartes’ solution of Pappus’ problem
pp. 335
Curves and the demarcation of geometry in the Geometry
pp. 355
Simplicity and the classification of curves
pp. 363
The canon of geometrical construction
pp. 383
The theory of equations in the Geometry
pp. 399
Conclusion of Part II
pp. 415
Epilogue
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