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