Contents -- Acknowledgments -- Introduction -- 1. Beyond Inertia: From Laws to Objects -- 2. Motion and Mechanics -- 3. The Role of Mathematics -- 4. Experience and Experiment -- 5. Practitioners, Sites, and Forms of Communication -- 6. Structure and Organization of the Present Work -- 1 Machines in the Field, in the Book, and in the Study -- 1.1 Between Classical Theory and Engineering Practice -- 1.2 Machines, Equilibrium, and Motion -- 1.3 The Balance of dal Monte and the Problem of Rigor -- 1.4 Pulleys and the Contingency of Matter -- 1.5 Rival Traditions on the Inclined Plane -- 2 Floating Bodies and a Mathematical Science of Motion -- 2.1 Some Features of Archimedes' Floating Bodies -- 2.2 Reading Floating Bodies -- 2.3 Benedetti against the Philosophers -- 2.4 Galileo's Early Speculations -- 2.5 Mazzoni, Stevin, and Galileo -- 3 The Formulation of New Mathematical Sciences -- 3.1 The Broadening of the Mechanical Tradition -- 3.2 Galileo at Padua and the Science of Motion -- 3.3 From Buoyancy to the Science of Waters -- 3.4 Motion between Heaven and Earth -- 3.5 The Science of the Resistance of Materials -- 3.6 The Science of Motion -- 4 Novel Reflections and Quantitative Experiments -- 4.1 Different Readings of Galileo -- 4.2 Mersenne's Harmonie and the Dialogo -- 4.3 Rethinking Galileo's Axiomatic Structure -- 4.4 Continuity and the Law of Fall -- 4.5 Trials with Projectiles, Pierced Cisterns, and Beams -- 4.6 The Experiments and Tables of Riccioli -- 5 The Motion and Collision of Particles -- 5.1 The Rise of the Mechanical Philosophy -- 5.2 Mechanics and the Mechanical Philosophy -- 5.3 Beeckman, Galileo, and Descartes -- 5.4 Motion and Its Laws -- 5.5 From the Balance to Impact: Beeckman, Marci, and Descartes -- 5.6 The Workings of the Cartesian Universe -- Intermezzo. Generational and Institutional Changes.

6 The Equilibrium and Motion of Liquids -- 6.1 A Characterization of a Research Tradition -- 6.2 Studies around the Time of the Cimento Academy -- 6.3 Pressure and Equilibrium in Pascal and Boyle -- 6.4 Studying the Motion of Waters North of the Alps -- 6.5 Guglielmini and the Bologna Scene -- 6.6 Experiments Combining Pressure and Speed -- 7 Projected, Oscillating, and Orbiting Bodies -- 7.1 The Tools of Investigation -- 7.2 The Analyses of Orbital Motion by Fabri and Borelli -- 7.3 Falling Bodies on a Moving Earth -- 7.4 Projectiles and Air Resistance -- 7.5 Huygens's Pendulum -- 7.6 English Approaches to Orbital Motion -- 8 Colliding Bodies, Springs, and Beams -- 8.1 The Emergence of Elasticity -- 8.2 Boyle and Elasticity -- 8.3 The Transformation of the Impact Rules -- 8.4 Springs between Technology and Cosmology -- 8.5 Bending and Breaking Beams -- 9 A New World-System -- 9.1 Teamwork and Anti-Cartesianism -- 9.2 Halley, Wren, Hooke, and Newton -- 9.3 The Principia's Structure and Conceptual Framework -- 9.4 The Role of Experiments -- 9.5 The Mathematical Principles of Natural Philosophy -- 9.6 A New World-System: Newton and Flamsteed -- 10 Causes, Conservation, and the New Mathematics -- 10.1 Mechanics at the Turn of the Century -- 10.2 The New Analysis -- 10.3 Conservation -- 10.4 Early Responses to Newton's Principia -- 10.5 The New Analysis and Newton's Principia -- Conclusion. Mapping the Transformations of Mechanics -- Notes -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.