Collineations and Conic Sections (eBook, PDF)
An Introduction to Projective Geometry in its History
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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 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 thos...
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.
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