The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

Proceedings of an International Conference held at Syracuse, Italy, June 8-10, 2010

Editors:

ISBN: 978-90-481-9090-4 (Print) 978-90-481-9091-1 (Online)

Table of contents (38 chapters)

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  1. Front Matter

    Pages i-x

  2. Legacy and influence in Mathematics

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-15

      An Archimedean Research Theme: The Calculation of the Volume of Cylindrical Groins

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      Book Chapter

      Pages 17-27

      On Archimedean Roots in Torricelli’s Mechanics

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      Book Chapter

      Pages 29-43

      Rational Mechanics and Science Rationnelle Unique

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      Book Chapter

      Pages 45-56

      Archimedes and Caustics: A Twofold Multimedia and Experimental Approach

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      Book Chapter

      Pages 57-68

      Archimedes’ Quadratures

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      Book Chapter

      Pages 69-81

      On Archimedes’ Pursuit Concerning Geometrical Analysis

  3. Legacy and influence in Engineering and Mechanisms Design

    1. Front Matter

      Pages 84-84

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      Book Chapter

      Pages 85-111

      Simon Stevin and the Rise of Archimedean Mechanics in the Renaissance

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      Book Chapter

      Pages 113-131

      Archimedes’ Cannons Against the Roman Fleet?

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      Pages 133-147

      V-Belt Winding Along Archimedean Spirals During the Variator Speed Ratio Shift

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      Pages 149-162

      Ancient Motors for Siege Towers

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      Pages 163-176

      From Archimedean Spirals to Screw Mechanisms – A Short Historical Overview

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      Book Chapter

      Pages 177-187

      The Mechanics of Archimedes Towards Modern Mechanism Design

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      Book Chapter

      Pages 189-205

      Archimedean Mechanical Knowledge in 17th Century China

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      Book Chapter

      Pages 207-212

      Archimedes Arabicus. Assessing Archimedes’ Impact on Arabic Mechanics and Engineering

  4. Legacy and influence in Hydraulics

    1. Front Matter

      Pages 214-214

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      Book Chapter

      Pages 215-225

      The Golden Crown: A Discussion

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      Pages 227-249

      The Heritage of Archimedes in Ship Hydrostatics: 2000 Years from Theories to Applications

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      Book Chapter

      Pages 251-264

      Notes on the Syrakosia and on Archimedes’ Approach to the Stability of Floating Bodies

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      Book Chapter

      Pages 265-276

      What Did Archimedes Find at “Eureka” Moment?

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      Book Chapter

      Pages 277-288

      Floatability and Stability of Ships: 23 Centuries after Archimedes

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      Book Chapter

      Pages 289-301

      The “Syrakousia” Ship and the Mechanical Knowledge between Syracuse and Alexandria

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