Collineations and Conic Sections

This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to:The Projective Plane and Central CollineationsThe Geometry of Euclid's ElementsConic Sections in Early Modern EuropeApplications of Conics in HistoryWith rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.