Projective Geometry for Use in Colleges and Schools (Classic Reprint) - Hardcover

William P. Milne

9780260604439: Projective Geometry for Use in Colleges and Schools (Classic Reprint)

Hardcover

ISBN 10: 0260604437 ISBN 13: 9780260604439

Publisher: Forgotten Books, 2018

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Projective Geometry for Use in Colleges and Schools presents a clear, student‑friendly path through the subject.

It is written for honours level students and motivated pupils, with emphasis on accessible explanations and practical work on projective methods.

This edition frames the material around what learners need to know to use projective geometry as a tool for investigation. It assumes background in modern geometry of triangles, circles, and conics, but supplies key results in readable form with references for proofs. The text favors a balanced approach: it covers important ideas without becoming unduly long, and it encourages active understanding through oral explanations, blackboard work, and regular examples.
Inside you’ll find a structured progression through the core topics:

Chapter I: Projection and straight lines, including cross‑ratios and the line at infinity.
Chapter II: The conic, with a strong focus on the circular points at infinity and practical drawing methods.
Chapter III: Reciprocation and the duality principle, turning geometric facts about points and lines into their dual statements.
Chapter IV: General properties of conics, Desargues’s theorem, and invariants that tie together projective and metric ideas.

What you’ll experience

A practical, classroom‑friendly approach that blends theory with hands‑on drawing and examples.
Key results presented plainly in black type, with references for deeper proofs.
A focus on preparing students for exams and independent investigation, not just rote technique.

Ideal for readers of college and school geometry who want a solid foundation in projective methods, with clear guidance on how to apply these ideas to figures, conics, and their transformations.

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