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

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

Hardcover

General MathematicsGeometry

ISBN10: 3030462862
ISBN13: 9783030462864
Publisher: Springer
Published: Sep 2 2020
Pages: 187
Weight: 1.01
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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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