The Elements of Non-Euclidean Geometry

by Julian Lowell Coolidge

The Elements of non-Euclidean Geometry: Large Print By Julian Lowell Coolidge Chapters Include: Foundation For Metrical Geometry In A Limited Region - Congruent Transformations - The Three Hypotheses - The Introduction Of Trigonometric Formulae - Analytic Formulae - Consistency And Significance Of The Axioms - The Geometric And Analytic Extension Of Space - The Groups Of Congruent Transformations - Point, Line, And Plane Treated Analytically - The Higher Line Geometry - The Circle And The Sphere - Conic Sections - Quadric Surfaces - Areas And Volumes - Introduction To Differential Geometry - Differential Line-Geometry - Multiply Connected Spaces - The Projective Basis Of Non-Euclidean Geometry - The Differential Basis For Euclidean And Non-Euclidean Geometry - Comprehensive Index We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

282 pages, Paperback

First published June 24, 2015

About the author

1873-1954