Between Mechanics and Architecture

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 d'Aguilon and Grégoire de Saint-Vincent.- Chapter 3. Is the Flat Vault a Lost Proposition in John Wallis's 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 Leibniz's Nova methodus to Euler's 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 Coulomb's 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 Mascheroni's "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 Cullmann's "Graphostatics".