Synopsis
Explore the intricate world of conic sections and their surprising connections.
This classic geometry text surveys the properties, theorems, and reciprocal ideas that arise with conics, offering clear explanations, proofs, and a wealth of exercises.
This edition collects foundational results and practical methods for understanding how conics interact with lines, tangents, chords, and circles. You’ll find classic theorems, step-by-step derivations, and problems that build intuition for projective relations, dualities, and harmonic ranges, all presented in accessible language suitable for self-study or classroom use.- Key theorems such as Pascal’s and Brianchon’s are explored, with constructive proofs and discussion of their consequences.
- Reciprocity and polars are introduced to show deep connections between points and lines with respect to a conic.
- Hundreds of exercises and examples guide you from basic properties to advanced configurations and proofs.
- Structured problems help you practice reasoning about tangents, chords, polars, harmonics, and coaxal systems.
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A Course of Pure Geometry (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book, a study of pure geometry, guides the reader through more modern developments in the subject. It is intended for students well-versed in the foundational principles of geometry and who seek to advance their knowledge. The author, an experienced teacher, has distilled years of teaching into a course of lessons targeting the needs of such students. The book covers topics like skew lines and planes, projection, cross-ratios, perspective, harmonic section, and conic sections. It takes a progressive approach, starting with lines and angles and building up to more abstract and complex concepts. The inclusion of solved exercises at the end of each chapter allows readers to gauge their understanding as they progress. Through this book, the author aims to sharpen readers' geometric intuition and deepen their appreciation for the subject. 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. Seller Inventory # 9781330123966_0
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A Course of Pure Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330123966
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A Course of Pure Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330123966
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