The Principles of Projective Geometry: Applied to the Straight Line and Conic (Classic Reprint) - Hardcover

J. L. S. Hatton

9780331390230: The Principles of Projective Geometry: Applied to the Straight Line and Conic (Classic Reprint)

Hardcover

ISBN 10: 033139023X ISBN 13: 9780331390230

Publisher: Forgotten Books, 2018

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The Principles of Projective Geometry: Applied to the Straight Line and Conic offers a clear path through the core ideas of, and methods in, projective geometry.

This edition presents how lines, points, and conics relate under projective transformations, with concrete constructions and classic theorems guiding you step by step.

Readers will see how polarity, poles and polars, and the anharmonic property of conics come together to describe geometric figures, solve problems, and reveal underlying structures. The text blends definitions, theorems, and worked examples to build a practical understanding that supports both study and reference work.

How conics interact with lines, points, and tangents through pole-polar relationships
Ways to use harmonic ranges and involutions to analyze shapes and their projections
Key theorems such as Pascal, Carnot, and Desargues, and their corollaries for pairs of lines and points
Connections between real and imaginary elements, and how circles fit into a broader projective framework

Ideal for students and enthusiasts of geometry, the book supports a structured approach to advanced topics while remaining accessible to those building a foundation in projective methods.

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