Neutral and NonEuclidean Geometries
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http://www.math.uncc.edu/~droyster/math3181/notes/hyprgeom/  


David C. Royster; University of North Carolina at Charlotte  
Course notes that include: Origins of geometry; spherical geometry; logic and the axiomatic method; proof; Euclid's mathematical system; incidence geometry; betweenness axioms; congruence theorems; axioms of continuity; neutral geometry; theorems of continuity; the work of Saccheri and Gauss; hyperbolic geometry; classification of parallels; the pseudosphere; hyperbolic trigonometry and hyperbolic analytic geometry; and more.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Course Notes 
Math Topics:  Euclidean Plane Geometry, Elliptic & Spherical Geometry, Hyperbolic Geometry, History and Biography, Logic/Foundations, Trigonometry 
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