Practical and Theoretical Geometry, Vol. 3 (Classic Reprint) - Hardcover

A. H. McDougall

 
9780484419635: Practical and Theoretical Geometry, Vol. 3 (Classic Reprint)

Synopsis

Delve into advanced geometry with practical problems and clear explanations.

This volume develops core ideas through worked examples and a rich set of exercises, helping you build confidence and speed in solving geometric challenges.

Practical and Theoretical Geometry, Volume 3 covers a range of topics that appear in higher-level geometry courses and competitions. Expect focused chapters on loci and their constructions, optimization in geometric settings, radical axis theory, and classical theorems like Menelaus and Ceva, followed by a variety of exercises to test understanding and improve technique.

  • Grounding in loci problems, including the locus of centers, midpoints, and points of contact.
  • Maxima and minima in geometric figures, with practical approaches to optimization tasks.
  • Radical axis concepts and their applications to circle configurations.
  • Menus of theorems and theorems-with-exercises for Menelaus and Ceva, plus harmonic ranges and pencils.

Ideal for students of geometry seeking a rigorous, problem‑driven approach and readers preparing for advanced math coursework or competitions.

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