Synthetic Projective Geometry (Classic Reprint) - Softcover

Smith, Joseph Bruce

Softcover

ISBN 10: 1440033277 ISBN 13: 9781440033278

Publisher: Forgotten Books, 2018

Synopsis

Explore the foundations of projective geometry in a classic, influential text. This edition presents a clear, systematic introduction to how points, lines, and planes relate in a non-metric, purely positional framework. Readers will follow the development of core ideas from basic elements to advanced concepts, with a focus on the relationships that shape geometric reasoning.

The material frames geometry as a study of incidence, projection, and duality, linking old ideas to modern perspectives. It traces how simple constructions expand into complex forms, including conics, polars, and ruled surfaces, while emphasizing logical structure and problem-solving methods. The book invites careful reading and offers classic problems that illuminate the subject’s depth and elegance.

What you’ll experience

• Foundations: the primal elements—points, lines, and planes—and how they combine into larger figures.


• Transformations: projective mappings, projections, and cuts that reveal invariant relations.


• Conic geometry: centers, duality, involutions, and the harmonic aspects of conics.


• Applications to surfaces: ruled quadric surfaces and their geometric properties.

This edition is ideal for curious readers who want a rigorous, historically influential treatment of projective geometry and its key results.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 1440033277
• ISBN 13: 9781440033278
• Binding: Paperback
• Number of pages: 64