Principles of Geometry - Softcover

Inhaltsangabe

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

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