Geometrical Objects - Architecture and the Mathematical Sciences 1400-1800

Introduction.- Proportion and Continuous Variation in Vitruvius's De Architectura.- The Palazzo Del Podestà in Bologna: Precision and Tolerance in a Building all'Antica.- Practical Mathematics in the Drawings of Baldassarre Peruzzi and Antonio da Sangallo the Younger.- Geometric Survey and Urban Design: A Project for the Rome of Paul IV (1555-1559).- Architecture and Mathematics in Early Modern Religious Orders.- The Master of Painted Architecture: Andrea Pozzo, S. J. and His Treatise on Perspective.- Geometry, Mechanics, and Analysis in Architecture.- Epistemological Obstacles to the Analysis of Structures: Giovanni Bottari's Aversion to a Mathematical Assessment of Saint-Peter's Dome (1743).- Scientific Concepts of Beauty in Architecture: Vitruvius Meets Descartes, Galileo and Newton.- Breathing Room: Calculating an Architecture of Air.- James "Athenian" Stuart and the Geometry of Setting Out.- Index.