Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 2: Being the Substance of Lectures Delivered in the University of Dublin to the ... of the First Year in Arts (Classic Reprint) - Hardcover

Richard Townsend

Hardcover

ISBN 10: 0666375720 ISBN 13: 9780666375728

Publisher: Forgotten Books, 2018

Synopsis

Master the modern geometry of points, lines, and circles with classic harmonic theory.

Dive into a rigorous university-level treatment that explains how harmonic divisions, poles and polars, and reciprocal properties interlink across figures and circles.

This volume presents the substance of lectures delivered at Trinity College, Dublin, offering systematic exploration of harmonic sections, conjugate elements, and the intricate relationships that arise when lines, angles, and circles interact. It emphasizes reciprocal principles and geometric transformations, helping readers build a deep, structural understanding of advanced Euclidean geometry.

• Foundational concepts like harmonic section, harmonic conjugates, and polar relationships
• Detailed proofs and constructions grounded in classical geometric reasoning
• Guidance on how harmonic properties influence triangles, polygons, and circle configurations
• Connections between different geometric systems through the idea of homography

Ideal for students and enthusiasts of geometry who seek a historically rich, rigorous exploration of point-line-circle relationships and their modern interpretations.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0666375720
• ISBN 13: 9780666375728
• Binding: Hardcover
• Number of pages: 428