Daniele Barbaro's Vitruvius of 1567

On What Machine Is, How It Differs from Instrument, and On Its Origin and Necessities.- On the Tractive Machinations of Sacred Temples and Public Works.- On Diverse Names of Machines and How They Are Erected.- On a Machine Similar to That Explained Above With Which Greater Things Are Made by Merely Changing the Windlass into a Drum.- On Another Sort of Machine or Pulling.- On an Ingenious Theory of Ctesifonte for Transporting Weights.- om which the Ephesian Temple of Diana was Built.- On the Straight and Circular Motions that are Required to Lift Weights.- On the Sorts of Instruments for Raising Water, and First the Water Wheel.- On the wheels and drums for milling flour.- On the Screw that Raises Great Quantities of Water, But Not Very High.- On the Machine Made by Ctesibius that Raises Water Very High.- On the Hydraulic Machines Used to Make Organs.- The Theory for Measuring a Journey Made by Carriage or by Ship.- On the Theories of Catapults and Scorpions.- On the Theories of Ballistae.- On the Proportions of the Stones that Must Be Drawn to the Hole of the Ballista.- On the Tempering and Loading of Ballistae and Catapults.- On Things for Assailing and Defending, and First on the Invention of the Ram and its Machine.- On the Apparatus of the Tortoise for Ditches.- On Other Tortoises.- The Peroration of the Entire Work.

Kim Williams is an independent scholar and publisher. She is the founder and editor-in-chief of the Nexus Network Journal for architecture and mathematics (Basel: Birkhäuser, 1999-present), and director of the biennial conference series 'Nexus: Relationships Between Architecture and Mathematics' (1996-present). She is author of Italian Pavements: Patterns in Space (Anchorage Press, 1997) and The Villas of Palladio (Princeton Architectural Press, 2003). Together with Lionel March and Stephen R. Wassell she has published the translation/commentaries On Ratio and Proportion by Silvio Belli (Kim Williams Books, 2003), and The Mathematical Works of Leon Battista Alberti (Birkhäuser, 2010). Her works as editor include Two Cultures: Essays in Honour of David Speiser (Birkhäuser, 2006), Crossroads: History of Science, History of Art. Essays by David Speiser, vol. II (Birkhäuser, 2011) and, with Michael J. Ostwald, the two-volume Architecture and Mathematics from Antiquity to the Future (Birkhäuser, 2015). She is the editor of the Birkhäuser book series 'Mathematics and the Built Environment'.

Branko Mitrovic (Foreword) is a professor of architectural history and theory at Norges Teknisk-Naturvitenskapelige Universitet in Trondheim, Norway. He received his doctorates in architecture and philosophy and has been a recipient of the Humboldt Research Award. He is the author (or co-author) of seven books, including Learning from Palladio (W. W. Norton, 2004) and Philosophy for Architecture (Princeton Architectural Press, 2011), and Vignola's Canon of the Five Orders of Architecture (Acanthus Press, 2011). He has published extensively on Renaissance architectural theory.

Robert Tavernor (Foreword) is emeritus professor of Architecture and Urban Design at the London School of Economics (LSE) and a consultant architect. He contributed to recent English translations of Vitruvius (On Architecture, Richard Schofield, trans., Penguin Classics, 2009), Alberti (On the