The Ancient Tradition of Geometric Problems
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The Ancient Tradition of Geometric Problems: (Dover Books on Mathematics)

The Ancient Tradition of Geometric Problems: (Dover Books on Mathematics)


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About the Book

Table of Contents:
Preface 1 Sifting History from Legend 2 Beginnings and Early Efforts (I) The Duplication of the Cube (II) The Quadrature of the Circle (III) Problems and Methods 3 The Geometers in Plato's Academy (I) Solutions of the Cube-Duplication (II) Geometric Methods in the Analysis of Problems (III) Efforts toward the Quadrature of the Circle (IV) Geometry and Philosophy in the 4th Century 4 The Generation of Euclid (I) A Locus-Problem in the Aristotelian Corpus (II) Euclid's Analytic Works (III) The Analysis of Conic Problems: Some Reconstructions (IV) "An Angle-Trisection via "Surface-Locus" (V) Euclid's Contribution to the Study of Problems 5 Archimedes?The Perfect Eudoxean Geometer (I) Circle-Quadrature and Spirals (II) Problem-Solving via Conic Sections (III) Problem-Solving via Neuses (IV) An Anonymous Cube-Duplication (V) The Impact of Archimedes' Work 6 The Successors of Archimedes in the 3rd Century (I) Eratosthenes (II) Nicomedes (III) Diocles (IV) "On the Curve called "Cissoid" (V) "Dionysodorus, Perseus and Zenodorus" (VI) In the Shadow of Archimedes 7 Apollonius?Culmination of the Tradition (I) "Apollonius, Archimedes and Heraclides" (II) Apollonius and Nicomedes (III) Apollonius and Euclid (IV) Apollonius and Aristaeus (V) Origins and Motives of the Apollonian Geometry 8 Appraisal of the Analytic Field in Antiquity (I) The Ancient Classifications of Problems (II) "Problems, Theorems and the Method of Analysis" (III) "... And many and the greatest sought, but did not find." (IV) Epilogue Bibliography Indices


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Product Details
  • ISBN-13: 9780486675329
  • Publisher: Dover Publications Inc.
  • Publisher Imprint: Dover Publications Inc.
  • Edition: New edition
  • Language: English
  • Series Title: Dover Books on Mathematics
  • Weight: 575 gr
  • ISBN-10: 0486675327
  • Publisher Date: 14 Mar 2012
  • Binding: Paperback
  • Height: 235 mm
  • Returnable: N
  • Spine Width: 21 mm
  • Width: 156 mm


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