Thinking with Objects

AcknowledgmentsIntroduction1. Beyond Inertia: From Laws to Objects2. Motion and Mechanics3. The Role of Mathematics4. Experience and Experiment5. Practitioners, Sites, and Forms of Communication6. Structure and Organization of the Present Work1. Machines in the Field, in the Book, and in the Study1.1. Between Classical Theory and Engineering Practice1.2. Machines, Equilibrium, and Motion1.3. The Balance of dal Monte and the Problem of Rigor1.4. Pulleys and the Contingency of Matter1.5. Rival Traditions on the Inclined Plane2. Floating Bodies and a Mathematical Science of Motion2.1. Some Features of Archimedes' Floating Bodies2.2. Reading Floating Bodies2.3. Benedetti against the Philosophers2.4. Galileo's Early Speculations2.5. Mazzoni, Stevin, and Galileo3. The Formulation of New Mathematical Sciences3.1. The Broadening of the Mechanical Tradition3.2. Galileo at Padua and the Science of Motion3.3. From Buoyancy to the Science of Waters3.4. Motion between Heaven and Earth3.5. The Science of the Resistance of Materials3.6. The Science of Motion4. Novel Reflections and Quantitative Experiments4.1. Different Readings of Galileo4.2. Mersenne's Harmonie and the Dialogo4.3. Rethinking Galileo's Axiomatic Structure4.4. Continuity and the Law of Fall4.5. Trials with Projectiles, Pierced Cisterns, and Beams4.6. The Experiments and Tables of Riccioli5. The Motion and Collision of Particles5.1. The Rise of the Mechanical Philosophy5.2. Mechanics and the Mechanical Philosophy5.3. Beeckman, Galileo, and Descartes5.4. Motion and Its Laws5.5. From the Balance to Impact: Beeckman, Marci, and Descartes5.6. The Workings of the Cartesian UniverseIntermezzo: Generational and Institutional Changes6. The Equilibrium and Motion of Liquids6.1. A Characterization of a Research Tradition6.2. Studies around the Time of the Cimento Academy6.3. Pressure and Equilibrium in Pascal and Boyle6.4. Studying the Motion of Waters North of the Alps6.5. Guglielmini and the Bologna Scene6.6. Experiments Combining Pressure and Speed7. Projected, Oscillating, and Orbiting Bodies7.1. The Tools of Investigation7.2. The Analyses of Orbital Motion by Fabri and Borelli7.3. Falling Bodies on a Moving Earth7.4. Projectiles and Air Resistance7.5. Huygens's Pendulum7.6. English Approaches to Orbital Motion8. Colliding Bodies, Springs, and Beams8.1. The Emergence of Elasticity8.2. Boyle and Elasticity8.3. The Transformation of the Impact Rules8.4. Springs between Technology and Cosmology8.5. Bending and Breaking Beams9. A New World-System9.1. Teamwork and Anti-Cartesianism9.2. Halley, Wren, Hooke, and Newton9.3. The Principia's Structure and Conceptual Framework9.4. The Role of Experiments9.5. The Mathematical Principles of Natural Philosophy9.6. A New World-System: Newton and Flamsteed10. Causes, Conservation, and the New Mathematics10.1. Mechanics at the Turn of the Century10.2. The New Analysis10.3. Conservation10.4. Early Responses to Newton's Principia10.5. The New Analysis and Newton's PrincipiaConclusion: Mapping the Transformations of MechanicsNotesReferencesIndex