Notes on the First Book of Benson's Geometry, and Concerning the Circle: Showing the Decided Improvement Effected in the Science of Geometry (Classic Reprint) - Softcover

Lawrence Sluter Benson

 
9780282355173: Notes on the First Book of Benson's Geometry, and Concerning the Circle: Showing the Decided Improvement Effected in the Science of Geometry (Classic Reprint)

Synopsis

This book explores the development of principles and demonstrations in geometry, from ancient principles through contemporary insights. Starting with the definitions, axioms, and postulates of Euclid and continuing through contributions from legendre, Playfair, and others, the author illuminates the innovations and important historical changes within the field. Through in-depth exploration of the nature of a point, a line, angles, and circles, the author challenges traditional perspectives, clarifying confusions and offering original insights that provide a fresh view of the basics of geometry. By targeting areas where Euclidean demonstrations have room for improvement, the author offers new demonstrations that provide greater simplicity and clarity. This book provides an engaging exploration of mathematical concepts, with the potential to enhance understanding and appreciation of geometry for students, scholars, and anyone seeking to expand their knowledge of this classic discipline.

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