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Neutral and Non-Euclidean Geometries

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Visit this site: http://www.math.uncc.edu/~droyster/math3181/notes/hyprgeom/
Author:David C. Royster; University of North Carolina at Charlotte
Description: 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 (9-12), 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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