The Elements Of NonEuclidean Geometry Author:Julian Lowell Coolidge An Unabridged, Digitally Enlarged Printing. 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 Congrue... more »nt 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« less