The Elements Of Non-Euclidean Geometry

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 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