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E-raamat: Between Mechanics and Architecture: The Mathematical Search for Stability in Architecture

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This collection of essays reflects the author's decades-long dedication to studying the interplay between mechanics and architecture. It explores how advancements in mechanics have influenced architectural innovation and how the need for new architectural solutions has driven theoretical progress in engineering. By examining the historical roots of these fields, these essays provide a deep analysis of key developments.





This interdisciplinary work will appeal to scholars, students, and anyone interested in the complex relationship between the theoretical and practical aspects of architecture and civil engineering.
Preface. What Do We Mean by Between Mechanics and Architecture?.-
Chapter
1. Relations between Mechanics and Architecture through the History
of the Parallelogram Law of Forces from Antiquity to 1800.
Chapter
2.
Mathematics, Architecture and Mechanics in the School of François dAguilon
and Grégoire de Saint-Vincent.
Chapter
3. Is the Flat Vault a Lost
Proposition in John Walliss Work?.
Chapter
4. The Use of a Particular Form
of the Parallelogram Law of Forces for the Building of Vaults (1650-1750).-
Chapter
5. The De curvatura fornicis of Jacob Bernoulli: The Introduction of
the Infinitely Small into the Calculation of Arches.
Chapter
6. The
Catenary, or How Differential Calculus Appeared on the Public Square.-
Chapter
7. The Bernoullis and the Elastica: From Leibnizs Nova methodus to
Eulers Methodus inveniendi.
Chapter
8. The Theory of Vaults of Pierre
Bouguer.
Chapter
9. The Entasis of Columns from Blondel to Lagrange:
Mathematical Games in Search of the Greatest Stability.
Chapter
10. A Study
of Coulombs Application of the Rules of Maxima and Minima to Problems of
Statics.
Chapter
11. Jacques-Germain Soufflot and the Relationship between
Rules and Taste.
Chapter
12. The Catenary as Inspiration.
Chapter
13. The
Study of the Stability of Vaults by the Viscount of Nieuport.
Chapter
14. On
Mascheronis New Researches on the Equilibrium of Vaults.
Chapter
15. The
Supports Problem: A Dead-End Street in the History of Stability of
Structures.
Chapter
16. The Discovery of General Methods for Elastic
Systems, 1852-1875.
Chapter
17. The Industrial Revolution and its
Consequences. Part I: Iron Frameworks and Cullmanns Graphostatics.
Patricia Radelet-de Grave is a historian of science with a background in physics and history of science. She has worked at the Catholic University of Louvain la Neuve in Belgium, the University of Genoa in Italy, the École des hautes études en sciences sociales in Paris, France, and at the University of Pisa, Italy. With Edoardo Benvenuto, in 1993 she started the conference series titled Entre mécanique et architecture, which saw the participation of well-known scholars in the field.