An Introduction to Projective Geometry and Its Applications: An Analytic and Synthetic Treatment (Classic Reprint) - Hardcover

Arnold Emch

Hardcover

ISBN 10: 0666515182 ISBN 13: 9780666515186

Publisher: Forgotten Books, 2018

Synopsis

Explore the ideas of projective geometry and see how they connect to conics, transformations, and real-world problems.

This edition presents the fundamentals of projective geometry with clear, step‑by‑step development. It covers how geometric quantities can be measured and compared, and it shows how perspective and transformations reveal deep connections among lines, circles, and conics. The work blends analytic and synthetic approaches, highlighting practical constructions and classical results.

Readers will follow topics that bridge theory and application, from anharmonic ratio and projective pencils to the Steinerian transformation and the geometry of conics. The text also demonstrates how these ideas apply to mechanics and graphical statics, offering a historical and instructional viewpoint on the subject.

• Foundational concepts such as projective transformations, collineation, and duality
• Detailed treatment of conics, tangents, polars, and reciprocal transformations
• The Steinerian transformation and curves of the third order
• Applications in mechanics and the realization of collineations by linkages

Ideal for readers of math history and students seeking a rigorous, hands‑on introduction to projective geometry.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0666515182
• ISBN 13: 9780666515186
• Binding: Hardcover
• Number of pages: 299