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TABLE OF CONTENTS Preface
v
1. Legacy and Influence in Mathematics
1
An Archimedean Research Theme: The Calculation of the Volume of Cylindrical Groins Nicla Palladino
3
On Archimedean Roots in Torricelli’s Mechanics Raffaele Pisano and Danilo Capecchi
17
Rational Mechanics and Science Rationnelle Unique Johan Gielis, Diego Caratelli, Stefan Haesen and Paolo E. Ricci
29
Archimedes and Caustics: A Twofold Multimedia and Experimental Approach Assunta Bonanno, Michele Camarca, Peppino Sapia and Annarosa Serpe
45
Archimedes’ Quadratures Jean Christianidis and Apostolos Demis
57
On Archimedes’ Pursuit Concerning Geometrica Geometricall Analysis Philippos Fournarakis and Jean Christianidis
69
2. Legacy and Influence in Engineering and Mechanisms Design
83
Simon Stevin and the Rise of Archimedean Mechanics in the Renaissance Teun Koetsier
85
Archimedes’ Cannons Against the Roman Fleet? Archimedes’ Cesare Rossi V-Belt Winding Along Archimedean Spirals During the Variator Speed Ratio Shift Francesco Sorge
113
133
vii
viii
Table of Contents
Ancient Motors for Siege Towers C. Rossi, S. Pagano and F. Russo
149
From Archimedean Spirals to Screw Mechanisms – A Short Historical Overview Hanfried Kerle and Klaus Mauersberger
163
The Mechanics of Archimedes Towards Modern Mechanism Design Marco Ceccarelli
177
Archimedean Mechanical Knowledge in 17 th Century China Zhang Baichun and Tian Miao
189
Archimedes Arabicus. Assessing Archimedes’ Impact on Arabic Mechanics and Engineering Constantin Canavas
207
3. Legacy and Influence in Hydrostatics
213
The Golden Crown: A Discussion Felice Costanti
215
The Heritage of Archimedes in Ship Hydrostatics: 2000 Years from Theories to Applications Horst Nowacki
227
Notes on the Syrakosia and on Archimedes’ Approach to the Stability of Floating Bodies 251 Marco Bonino What Did Archimedes Find at “Eureka” Moment? Kuroki Hidetaka
265
Floatability and Stability of Ships: 23 Centuries after Archimedes Alberto Francescutto and Apostolos D. Papanikolaou
277
The “Syrakousia” Ship and the Mechanical Knowledge between Syracuse and Alexandria Giovanni Di Pasquale
289
Table of Contents
ix
4. Legacy and Influence in Philosophy
303
Browsing in a Renaissance Philologist’s Toolbox: Archimedes’ Rule Nadia Ambrosetti
305
The Mystery of Archimedes. Archimedes, Physicist and Mathematician, Anti-Platonic and Anti-Aristotelian Philosopher Giuseppe Boscarino
313
Archimedes to Eratosthenes: “Method for Mechanical Theorems” Roberto Bragastini
323
Archimedes in Seventeenth Century Philosophy Epaminondas Vampoulis
331
5. Legacy and Influence in Science and Technology
345
Cross-Fertilisation of Science and Technology in the Time of Archim d s Theodossios P. Tassios
347
Archimedes in Ancient Roman World Mario Geymonat
361
Archimedes: Russian Researches Alexander Golovin and Anastasia Golovina
369
Archimedean Science and the Scientific Revolution Agamenon R.E. Oliveira
377
Archimedes’ Burning Mirrors: Myth or Reality? Adel Valiullin and Valentin Tarabarin
387
The Influence of Archimedes in the Machine Books from Renaissance to the 19 th Century Francis C. Moon Archimedes Influence in Science and En gineering Thomas G. Chondros
