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 coordinate-free path to projective geometry

This book presents a coordinate-free vector approach to projective geometry, avoiding congruence and parallel axioms while using vector language to model space, lines, and transformations. Two short paragraphs framing the scope: It shows how projective ideas can be expressed with simple vector operations, keeping the focus on end-points, joins, and translations rather than artificial coordinates. The text explains concepts like collineations, collineators, and the T-plane, and demonstrates how projective relationships arise from distributive and non-distributive vector actions. What you’ll experience

• How projective joins and planes are written with vectors and scalars
• How to describe collineations as a combination of a linear operation and a translation
• Worked examples, including how mid-points and harmonic relations appear in this framework
• Guidance on choosing the T-plane to simplify problems and avoid coordinates

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