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Non-Euclidean Geometry
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Non-Euclidean Geometry''' β Any geometry not based on Euclid's 5th postulate. * '''Elliptic Geometry (Riemannian)''' β Geometry of a sphere; parallel lines meet and triangles > 180Β°. * '''Hyperbolic Geometry (Lobachevskian)''' β Geometry of a saddle-shape; parallel lines diverge and triangles < 180Β°. * '''Geodesic''' β The "straightest" possible path on a curved surface. * '''Curvature''' β The degree to which a surface deviates from being flat. * '''Great Circle''' β A circle on a sphere whose center coincides with the center of the sphere (e.g., the Equator). * '''Bernhard Riemann''' β Mathematician who generalized geometry to all types of curved spaces. * '''Janos Bolyai & Nikolai Lobachevsky''' β Co-discoverers of Hyperbolic geometry. * '''Manifold''' β A space that looks "flat" up close but can be curved globally (like Earth). </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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