The purpose of the project is to provide the most up-to-date survey on issues dealing with practical geometry and how it might have been applied in the design of medieval architecture. Chronologically, the topics cover a wide span - from early Medieval through Late Gothic. Geographically, the monuments under discussion range from Early Medieval Florence through Carolingian Germany, Crusader Cyprus, Romanesque France and Gothic England. The applications of both geometry and metrology are considered in this volume, often with illustrations generated by computer-assisted design (CAD) software. The project therefore offers recent scholarship in the field, as well as cutting-edge technology which helps propel the pursuit of such studies. To this end, the project is the first of its kind both in terms of its focus and its comprehensiveness. Such a project is sorely needed to introduce this highly specialized discipline to other historians of art, history, and science of the Middle Ages, as well as historians in most humanistic areas.