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

Part of the History of Mechanism and Machine Science Book Series (volume 11)

Editors: Paipetis, S. A.; Ceccarelli, Marco

DOI: 10.1007/978-90-481-9091-1

ISBN: 978-90-481-9090-4

Publisher: Springer Netherlands - Springer Journals

Apr 23, 2010

1 - 10 of 38 Chapters

Available

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

Palladino, Nicla

Pages: 3 –15

[Starting from Archimedes’ method for calculating the volume of cylindrical wedges, I want to get to describe a method of 18th century for cilindrical groins thought by Girolamo Settimo and Nicolò di Martino. Several mathematicians studied the measurement of wedges, by applying notions of...
Available

On Archimedean Roots in Torricelli’s Mechanics

Pisano, Raffaele; Capecchi, Danilo

Pages: 17 –27

[In recent papers we analyzed the historical development of the foundations of the centres of gravity theory during the Renaissance. Using these works as a starting point, we shall briefly present a progression of knowledge with cultural and mathematical Archimedean roots in Torricelli’s mechanics.]
Available

Rational Mechanics and Science Rationnelle Unique

Gielis, Johan; Caratelli, Diego; Haesen, Stefan; Ricci, Paolo E.

Pages: 29 –43

[We highlight the legacy of Simon Stevin and Gabriel Lamé and show how their work led to some of the most important recent developments in science, ultimately based upon the principles of balance and the act of weighing, virtual or real. These names are also important in the sense of a unique...
Available

Archimedes and Caustics: A Twofold Multimedia and Experimental Approach

Bonanno, Assunta; Camarca, Michele; Sapia, Peppino; Serpe, Annarosa

Pages: 45 –56

[In this work we present a twofold educational approach to the reflective properties of surfaces, starting from the historical context of Archimedes “burning mirrors”. The properties of the emerging surface known as “caustic” of a given smoothly shaped mirror are illustrated by an interactive...
Available

Archimedes’ Quadratures

Christianidis, Jean; Demis, Apostolos

Pages: 57 –68

[In the paper we discuss the three methods that Archimedes employs to deal with the problem of the quadrature of a parabolic segment. We characterize the three approaches as heuristic, mechanical and geometric respectively. We investigate Archimedes’ own attitude towards the three methods, and we...
Available

On Archimedes’ Pursuit Concerning Geometrical Analysis

Fournarakis, Philippos; Christianidis, Jean

Pages: 69 –81

[Archimedes practices the heuristic method of analysis and synthesis only in Book II of his On the Sphere and Cylinder. This paper has a twofold objective. Firstly, the discussion of his analytical practice through the first problem of Book II, in relation to Pappus’ study of the method of...
Available

Simon Stevin and the Rise of Archimedean Mechanics in the Renaissance

Koetsier, Teun

Pages: 85 –111

[In this paper I will discuss the position of the Flemish mathematician and engineer Simon Stevin (1546–1620) in the rise of Archimedean mechanics in the Renaissance. Commandino represents the beginning of the Archimedean Renaissance in statics. The next steps were made by Guidobaldo Del Monte...
Available

Archimedes’ Cannons Against the Roman Fleet?

Rossi, Cesare

Pages: 113 –131

[In the paper is discussed the possibility tat Archimedes built and used against the Roman fleet a steam cannon. It is well-known that Archimedes, during the siege of Syracuse, designed and built several war machines to fight against the Romans. Among these war machines, the legend about the...
Available

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

Sorge, Francesco

Pages: 133 –147

[Starting from a previous model for the shift mechanics of rubber belt variators, this lecture elaborates practical design formulas for the torque and the axial thrust making use of the very close resemblance of the belt path to a linear spiral of Archimedes along a large part of the arc of...
Available

Ancient Motors for Siege Towers

Rossi, C.; Pagano, S.; Russo, F.

Pages: 149 –162

[In the paper are proposed some mechanical systems, all certainly used in the Classic Age, that could be easily adopted to power the siege towers, devices invented by Greek engineers and called Helepolis. These ancient motors are made up by capstans, tread wheels like those used for Greek-Roman...

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