Principles of Geometry, Vol. 4 (Classic Reprint) - Softcover

Inhaltsangabe

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.

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