First published in 1952, this book has proven a valuable introduction for generations of students. It provides a clear and systematic development of projective geometry, building on concepts from linear algebra.
Algebraic Projective Geometry
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"[Topics are] presented with a simplicity and clarity of treatment... This interesting book may be warmly recommended." --Mathematical Gazette
About the Author
J. G. Semple is at King's College, London. G. T. Kneebone is at Royal Holloway and Bedford College, London.
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Inside This Book
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First Sentence:
OUR main purpose in this book is to construct and develop a systematic theory of projective geometry, and in order to make the system both rigorious and easily comprehensible we have chosen to build it on a purely algebraic foundation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homographic pencils, homographic correspondence, proper quadric, proper conic, disk quadric, conic envelope, quadric envelope, quadric locus, space collineation, coaxal system, allowable representation, involutory pair, quadric loci, canonical parametric representation, cubic developable, euclidean specializations, twisted cubits, conic locus, coincidence locus, harmonic locus, homographic ranges, projective domain, united points, conjugate complex points, projective parameter Key Phrases - Capitalized Phrases (CAPs): (learn more)
Desargues's Theorem, Pascal's Theorem, Chasles's Theorem, Hesse's Theorem, Principles of Geometry New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
OUR main purpose in this book is to construct and develop a systematic theory of projective geometry, and in order to make the system both rigorious and easily comprehensible we have chosen to build it on a purely algebraic foundation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homographic pencils, homographic correspondence, proper quadric, proper conic, disk quadric, conic envelope, quadric envelope, quadric locus, space collineation, coaxal system, allowable representation, involutory pair, quadric loci, canonical parametric representation, cubic developable, euclidean specializations, twisted cubits, conic locus, coincidence locus, harmonic locus, homographic ranges, projective domain, united points, conjugate complex points, projective parameter Key Phrases - Capitalized Phrases (CAPs): (learn more)
Desargues's Theorem, Pascal's Theorem, Chasles's Theorem, Hesse's Theorem, Principles of Geometry New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
38
books
cite this book:
See all 38 books citing this book
- Methods of Algebraic Geometry: Volume 1 (Cambridge Mathematical Library) by W. V. D. Hodge on page 225, page 226, and page 394
- Introduction to Algebraic Geometry by J. G. Semple on page 323, and page 393
- Projective geometry, by Oswald Veblen and John Wesley Young. (Michigan Historical Reprint) by Oswald Veblen on page 7, and page 42
- Treatise on Conic Sections by Apollonius of Perga on page 20
- Applications of Invariance in Computer Vision: Second Joint European - US Workshop, Ponta Delgada, Azores, Portugal, October 9 - 14, 1993. Proceedings (Lecture Notes in Computer Science) by Joseph L. Mundy on 4 pages
- Computer Vision - ECCV 2000: 6th European Conference on Computer Vision Dublin, Ireland, June 26 - July 1, 2000 Proceedings, Part I (Lecture Notes in Computer Science) by David Vernon on 4 pages
- The Poetics of Psychoanalysis: In the Wake of Klein by Mary Jacobus on page 226, page 232, and Back Matter
- Computer Vision-ECCV 2002: 7th European Conference on Computer Vision, Copenhagen, Denmark, May 28-31, 2002 - Proceedings, Part 2 by Anders Heyden on page 462, and page 882
- Building on Bion: Branches: Contemporary Developments and Applications of Bion's Contributions to Theory and Practice (International Library of Group Analysis 21) by Malcolm Pines on page 286, and page 301
See all 38 books citing this book
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