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Non-Euclidean geometry
Related lectures (30)
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Descriptive Geometry: Cones and Cylinders
Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.
Surfaces and Curvature in Geometry
Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.
Resonances for Hyperbolic Cylinders
On hyperbolic cylinder resonances explores Schottky groups and transfer operators.
Descriptive Geometry: Cones and Cylinders
Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Analytic Geometry x Hyperbola: Ellipse and Affinity
Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.
Introduction to Conic Sections in Space
Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Parametric Curves: Descartes' Folium
Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.
Conic Sections: Equivalence and Intersection
Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.
Conical Sections: Apollonius
Explores conical sections according to Apollonius, focusing on visual cones and unique shapes.