The Elements Of Non Euclidean Geometry (1909)

The Elements of Non-Euclidean Geometry is a book written by Julian Lowell Coolidge in 1909. The book provides a comprehensive introduction to non-Euclidean geometry, a branch of geometry that deviates from the traditional Euclidean geometry by rejecting the parallel postulate. The book begins with an overview of the history of non-Euclidean geometry, including the work of Gauss, Lobachevsky, and Bolyai. It then delves into the principles of hyperbolic geometry, including the hyperbolic plane, lines, angles, and triangles. The book also covers the principles of elliptic geometry, including the elliptic plane, lines, angles, and triangles. Throughout the book, Coolidge provides numerous examples and illustrations to help readers understand the concepts of non-Euclidean geometry. He also includes exercises at the end of each chapter to allow readers to test their understanding of the material. Overall, The Elements of Non-Euclidean Geometry is a valuable resource for anyone interested in the principles of non-Euclidean geometry and its applications in mathematics and physics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.