Synopsis
Explore how conics, polarity, and projective geometry reveal a unified view of space. Discover practical tools and rich theory that connect lines, points, and higher-dimensional configurations.
This edition presents a rigorous treatment of advanced topics in geometry, tying together classical ideas with modern viewpoints. It uses concrete constructions and accessible explanations to illuminate how points, lines, and curves interact through polarity, duality, and transformations.
- Understand polars, tangents, and polar relationships with conics and how they organize geometric figures
- Explore harmonic ranges, involutions, and projective transformations across multiple dimensions
- See how configurations of points and lines reveal symmetries and dualities in space
- Learn methods that connect algebraic equations with geometric loci, including special cases and envelopes
Ideal for readers who want a deep, structured approach to geometry and enjoy seeing how classical results fit into a cohesive framework.
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Principles of Geometry, Vol. 2 (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book embarks on a comprehensive exploration of plane geometry, delving into both its foundational principles and advanced theorems. The author guides readers through a journey that begins with the fundamental properties of conic sections, employing synthetic methods to establish a solid understanding. The exploration extends to encompass the interplay between conics and absolute points, unveiling intriguing properties of circles and confocal conics. Transitioning seamlessly, the book delves into the realm of analytical geometry, equipping readers with the tools to apply algebraic symbols to geometric concepts. This fusion of approaches empowers a deeper analysis of geometric figures and their relationships. Central to the book's theme is a meticulous examination of the logical underpinnings of geometry. The author challenges readers to critically assess the assumptions inherent in the use of coordinates and the concept of distance. This exploration extends to non-Euclidean geometries, offering a broader perspective on the nature of space and measurement. By bridging the gap between synthetic and analytical methods, this book provides a unique and insightful perspective on plane geometry. The author's emphasis on logical rigor and questioning of fundamental assumptions invites readers to engage in a profound exploration of the subject, ultimately leading to a deeper appreciation of the elegance and complexities of geometric principles. 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 # 9781330303214_0
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Principles of Geometry, Vol. 2 (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330303214
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Principles of Geometry, Vol. 2 (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330303214
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Principles of Geometry, Vol. 2 (Classic Reprint)
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Paperback. Condition: Brand New. 278 pages. 9.00x6.00x0.58 inches. This item is printed on demand. Seller Inventory # zk1330303210
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