Sinopsis
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.
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Reseña del editor
Excerpt from Synthetic Projective Geometry
Assumption. (a) The aggregate of all proper points on a straight line or 'straight' is closed or made compendent by one point at infinity or figurative point.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Synthetic Projective Geometry (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book offers a refreshing perspective on the development of projective geometry, conceived as an extension of classic Euclidean methods. The author traces the origins of the subject in the work of Desargues and Poncelet in the 17th and 19th centuries. Following an exploration of the fundamental principles established by these mathematicians, the book examines more recent advances initiated by von Staudt in the mid-19th century. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332902187_0
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Synthetic Projective Geometry Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332902187
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Synthetic Projective Geometry Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332902187
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