Collineations and Conic Sections: An Introduction to Projective Geometry in its History

Christopher Baltus

Sep. 2020 · Springer Nature

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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 Collineations
• The Geometry of Euclid's Elements
• Conic Sections in Early Modern Europe
• Applications of Conics in History

With 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.