Title: Three Dimensional Chains and the Classification of the Resulting Collineations in Space: Thesis (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0265768780
ISBN 13: 9780265768785
Binding: HRD
Condition: New
Weight: 324 grams

About this title

Synopsis

A rigorous exploration of three-dimensional chains and how space collineations are classified, with clear, step-by-step reasoning.

In this nonfiction thesis, readers are guided through the concept of invariant three-chains, invariant lines, and invariant planes in space. The work outlines how different projectivities—elliptic, hyperbolic, and paracolic—govern transformations, and it shows how these ideas determine the structure of space collineations.

Learn how invariant figures are built from points, lines, and planes in space.
See how the existence and arrangement of invariant chains constrain possible transformations.
Explore classifications of collineations by type, including perspective and homology/elation cases.
Understand the role of duality and planar chains in forming invariant structures.

Ideal for readers of advanced geometry and transformation theory who want a dense, methodical treatment of space collineations and their invariant configurations.

"About this title" may belong to another edition of this title.

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