Principles of Geometry - Softcover

Baker, H. F.

Softcover

ISBN 10: 1330303210 ISBN 13: 9781330303214

Verlag: Forgotten Books, 2018

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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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Verlag: Forgotten Books
Erscheinungsdatum: 2018
Sprache: Englisch
ISBN 10: 1330303210
ISBN 13: 9781330303214
Einband: Taschenbuch
Anzahl der Seiten: 276
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Principles of Geometry, Vol. 2 (Classic Reprint)

H. F. Baker

Verlag: Forgotten Books, 2018

ISBN 10: 1330303210 ISBN 13: 9781330303214

Neu Paperback

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Anbieter: Forgotten Books, London, Vereinigtes K�nigreich

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Paperback. Zustand: 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. Bestandsnummer des Verk�ufers 9781330303214_0

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