Title: The Theory of the Imaginary in Geometry: Together With the Trigonometry of the Imaginary (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2019
Language: English
ISBN 10: 0267970242
ISBN 13: 9780267970247
Binding: HRD
Condition: New
Weight: 537 grams

About this title

Synopsis

Explore a bold extension of geometry that blends the real with the imaginary.

This authoritative work, The Theory of the Imaginary in Geometry: Together With the Trigonometry of the Imaginary, guides readers through a structured development of imaginary points, lines, and shapes and shows how they relate to classical real geometry. Clear explanations lead from basic ideas to more general theorems in a rigorous, step-by-step way.

Tracing the foundations of imaginary constructs and their connection to real measurements, the book builds a coherent framework for understanding complex angles, projections, and conic sections. It emphasizes practical methods for visualizing and working with these ideas, while tying them to established projective geometry principles.

Learn the definitions and behavior of imaginary points and lengths, and how they interact with real geometry.
Understand how imaginary and real elements combine in lines, planes, and conics.
Explore and apply key theorems related to projection, harmonic ranges, and involutions in both real and imaginary contexts.
See applications to imaginary conics, their equations, and tracing methods.

Ideal for readers who want a solid, concept-driven approach to advanced geometry topics and their imaginary extensions.

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

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