Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1: Being the Substance of Lectures Delivered in the University of Dublin to the Candidates for Honors of the First Year in Arts (Cl - Hardcover

Richard Townsend

 
9780265369272: Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1: Being the Substance of Lectures Delivered in the University of Dublin to the Candidates for Honors of the First Year in Arts (Cl

Synopsis

Mastery of Modern Geometry for Curious Learners

Discover a thorough introduction to modern elementary geometry, drawn from lectures at the University of Dublin. This edition presents the substance of those talks in clear, accessible language that builds from Euclid’s foundations to contemporary ideas.

This volume concentrates on the ideas and methods that shape geometric thought today, with emphasis on how figures are generated, measured, and related. It blends practical reasoning with rigorous demonstrations, making advanced concepts approachable for students and curious readers alike.
  • Foundations of geometric terminology and notation, including the double meanings of terms and symbols
  • How figures can be generated by moving points or lines, and what that means for loci and envelopes
  • Maxima, minima, and optimization ideas applied to geometric problems
  • Harmonic relationships, polars, and reciprocal properties in triangles and circles
Ideal for readers of historical and mathematical geometry, this edition serves as both a study aid and a window into 19th‑century pedagogical approaches to geometry.

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