Projective Geometry for Use in Colleges and Schools (Classic Reprint)
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 19.39
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book offers a comprehensive exploration of projective geometry, a branch of mathematics concerned with the properties of geometric figures that remain unchanged under projection. The author guides readers through fundamental concepts such as cross-ratios, harmonic division, and the principle of duality, demonstrating how these principles provide a powerful framework for understanding geometric relationships. Emerging from the study of perspective in Renaissance art and further developed in the 17th and 18th centuries, projective geometry revolutionized geometric thinking by emphasizing the invariance of properties under projection. This book delves into the rich history and applications of projective geometry, covering topics such as conic sections, reciprocation, and the properties of complete quadrangles and quadrilaterals. Through clear explanations and numerous examples, the author illuminates the connections between seemingly disparate geometric concepts. Readers will gain a deeper appreciation for the elegance and power of projective geometry and its ability to unify various branches of mathematics. This book unveils the profound insights of projective geometry, demonstrating its ability to reveal hidden connections and provide a framework for understanding the invariant properties of geometric figures. 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. …
Seller Inventory # 9781330439050_0
- Title
- Projective Geometry for Use in Colleges and Schools (Classic Reprint)
- Author
- William P. Milne
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330439058
- ISBN 13
- 9781330439050
- Seller catalogs
- Geometry
Projective Geometry for Use in Colleges and Schools presents a clear, student‑friendly path through the subject.
It is written for honours level students and motivated pupils, with emphasis on accessible explanations and practical work on projective methods.
This edition frames the material around what learners need to know to use projective geometry as a tool for investigation. It assumes background in modern geometry of triangles, circles, and conics, but supplies key results in readable form with references for proofs. The text favors a balanced approach: it covers important ideas without becoming unduly long, and it encourages active understanding through oral explanations, blackboard work, and regular examples.Inside you’ll find a structured progression through the core topics:
- Chapter I: Projection and straight lines, including cross‑ratios and the line at infinity.
- Chapter II: The conic, with a strong focus on the circular points at infinity and practical drawing methods.
- Chapter III: Reciprocation and the duality principle, turning geometric facts about points and lines into their dual statements.
- Chapter IV: General properties of conics, Desargues’s theorem, and invariants that tie together projective and metric ideas.
- A practical, classroom‑friendly approach that blends theory with hands‑on drawing and examples.
- Key results presented plainly in black type, with references for deeper proofs.
- A focus on preparing students for exams and independent investigation, not just rote technique.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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