Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1 (Classic Reprint) - Couverture souple

Richard Townsend

 
9781332919628: Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1 (Classic Reprint)

Synopsis

This book provides a foundational treatise on Modern Elementary Geometry, a field the author helped to establish that covers geometric problems that can be solved with basic algebra skills. The book's subject is developed in two parts and builds upon the knowledge of the first six books of Euclid, typically learned by students transitioning from secondary school to university. The first part introduces the concept of double geometric meaning, a cornerstone of modern elementary geometry, which posits that geometric terms can simultaneously denote both magnitudes and figures. The second part introduces the idea of double generation of geometric figures, demonstrating that every geometric figure can be generated by the movement of a point or a line. The author explores the implications of these concepts across various theoretical problems and gives detailed instructions for practical constructions. By providing a systematic exposition of Modern Elementary Geometry, this book serves as an excellent resource for students and practitioners alike, offering a thorough understanding of a subject vital to future geometric discovery.

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