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.

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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