Collineations and Conic Sections

Collineations and Conic Sections PDF

Author: Christopher Baltus

Publisher: Springer Nature

Published: 2020-09-01

Total Pages: 187

ISBN-13: 3030462870

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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.

Projective Geometry and Projective Metrics

Projective Geometry and Projective Metrics PDF

Author: Herbert Busemann

Publisher: Courier Corporation

Published: 2012-11-14

Total Pages: 350

ISBN-13: 0486154696

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This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.