An Elementary Course in Synthetic Projective Geometry (Classic Reprint) - Hardcover

Derrick Norman Lehmer

Hardcover

ISBN 10: 0265701740 ISBN 13: 9780265701744

Publisher: Forgotten Books, 2018

Synopsis

An Elementary Course in Synthetic Projective Geometry presents a clear path into the ideas of projective geometry, showing how points and lines relate through duality and polarity.

The text emphasizes a balance between analytic and synthetic methods, revealing how each approach strengthens the other.

Across concise chapters, readers explore fundamental concepts such as poles and polars, projective correspondences, and the metrical properties of conic sections. The book connects classic theorems—such as Brianchon and Pascal—with modern viewpoints, illustrating how geometric ideas evolve when seen through a projective lens. It also discusses how infinity and harmonic divisions play into a unified framework that unites shapes, transformations, and invariants.

• Learn the pole–polar relationship and how it creates a one-to-one correspondence between points and lines
• See how projective pencils, point-rows, and duality interrelate to reveal deeper structure
• Study metrical properties of conics, including diameters, centers, and asymptotes
• Encounter classical theorems and their dual forms in a cohesive, beginner-friendly way

Ideal for readers of introductory geometry who want a solid foundation in projective methods and their surprising connections to analytic thinking.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0265701740
• ISBN 13: 9780265701744
• Binding: Hardcover
• Number of pages: 139