Projective Vector Algebra (Classic Reprint): An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels: An Algebra of Vectors ... Congruence and of Parallels (Classic Reprint) - Softcover

Inhaltsangabe

A vector-based look at projective geometry that keeps operations simple and coordinate-free.

This book presents an algebra of vectors that represents projective geometry without relying on the usual axioms of congruence and parallels. It shows how projective collineations can be built from a distributive vector operation followed by a straightforward translation, making complex ideas easier to handle.

- Learn how line joins and plane equations arise directly from vector sums, without resorting to artificial coordinates.
- See the role of the T-plane and how projective concepts connect to familiar vector algebra.
- Explore involutoric and cyclic collineations and what they reveal about space and perspective.
- Discover practical ways these ideas illuminate problems in projective geometry through a clean, algebraic approach.

Ideal for readers of introductory projective geometry or anyone curious about a coordinate-free, vector-based treatment of the subject.

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