Sinossi
Explore advanced geometry across dimensions with clear, rigorous problems and proofs.
A rigorous tour through high-level geometry, from plane figures to fourfold space. This edition gathers topics like inversions, quadrics, and complex geometric constructions, with a focus on concrete methods and worked examples. It’s suited for readers who want to see how classic theorems extend into higher dimensions and how different geometric ideas connect.
- Learn how conics, quadric surfaces, and Veronese surfaces relate to spaces of three, four, and five dimensions.
- See practical problem solving in action with exercises on circles, spheres, and their tangent and polar relations.
- Explore the algebraic and synthetic approaches that unify space geometry with projective and descriptive methods.
- Understand how transformations like harmonic inversion and duality reveal hidden structures in complex figures.
Ideal for students and researchers of advanced geometry, and for anyone who enjoys seeing geometric ideas extended beyond the ordinary plane.
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Principles of Geometry, Vol. 4 (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book delves into the fascinating connections between geometry in different dimensions, showcasing the elegance and interconnectedness of mathematical principles. By exploring relationships between theorems in two, three, four, and even five dimensions, the author reveals how seemingly disparate concepts are intricately linked. Through a series of detailed examples and insightful commentary, the book guides readers through a journey of discovery, starting with the familiar geometry of circles and lines in a plane and culminating in the complexities of higher-dimensional spaces. Readers will encounter intriguing geometric figures, such as the "double-six" theorem and Kummer's surface, and witness how their properties can be understood through the lens of different dimensions. The author's approach not only illuminates the intrinsic beauty of these geometric objects but also demonstrates the power of unifying mathematical concepts across various dimensions. Ultimately, this book offers a profound appreciation for the depth and interconnectedness of geometry, revealing how the exploration of higher dimensions can shed new light on even the most fundamental 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. Codice articolo 9781330337486_0
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Principles of Geometry, Vol 4 Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330337486
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Principles of Geometry, Vol 4 Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330337486
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Principles of Geometry, Vol. 4 (Classic Reprint)
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Paperback. Condizione: Brand New. 268 pages. 8.90x5.60x0.40 inches. This item is printed on demand. Codice articolo zk1330337484
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