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The Series Finale of Online Education: Coursera Acquires Udemy

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Insights into Mathematics
Universal Hyperbolic Geometry - A Projective and Algebraic Approach

Explore hyperbolic geometry through a projective, algebraic approach using rational trigonometry—no calculus required, connecting to relativity and Minkowski geometry.
- YouTube
- 1 day 7 hours 7 minutes
- On-Demand
- Free Video
Insights into Mathematics
Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

Explore perpendicularity, polarity, and duality on a sphere, including polar triangles and point-plane duality. Gain insights into elliptic geometry and the relationships between geometric elements.
- YouTube
- 32 minutes
- On-Demand
- Free Video
Insights into Mathematics
Hyperbolic Geometry Is Projective Relativistic Geometry - Full Lecture

Explore hyperbolic geometry as projective relativistic geometry, covering key concepts, models, and theorems. Gain insights into quadrance, spread, trigonometry, and unique results like the Jumping Jack theorem.
- YouTube
- 51 minutes
- On-Demand
- Free Video
Insights into Mathematics
Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

Explore algebraic definitions of points and lines in hyperbolic geometry, learn key theorems, and understand their applications in computational geometry and Cartesian coordinates.
- YouTube
- 45 minutes
- On-Demand
- Free Video
Insights into Mathematics
First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry

Explore fundamental concepts of universal hyperbolic geometry, including perpendicularity, quadrance, spread, and key theorems, with a focus on projective study of circles and relativistic geometry.
- YouTube
- 37 minutes
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- Free Video
Insights into Mathematics
Apollonius and Polarity - Universal Hyperbolic Geometry

Explore Apollonius' polarity concept in hyperbolic geometry, focusing on the crucial role of circles and their relationship to points and lines in the projective plane.
- YouTube
- 41 minutes
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- Free Video
Insights into Mathematics
Universal Hyperbolic Geometry - NJ Wildberger

Discover a revolutionary approach to hyperbolic geometry, simplifying complex concepts using high school algebra and projective geometry, with connections to Einstein's special relativity theory.
- YouTube
- 23 minutes
- On-Demand
- Free Video
Insights into Mathematics
Applications of Rational Spherical Trigonometry - Universal Hyperbolic Geometry Lecture 43

Exploring rational spherical trigonometry through a specific spherical triangle example, demonstrating its connection to hyperbolic geometry and three-dimensional space.
- YouTube
- 34 minutes
- On-Demand
- Free Video
Insights into Mathematics
Trigonometric Laws in Hyperbolic Geometry Using Geometer's Sketchpad - Universal Hyperbolic Geometry 26

Explore trigonometric laws in hyperbolic geometry using Geometer's Sketchpad. Learn about Pythagoras' theorem, Triple quad formula, Spread law, and Cross law with practical examples and custom tools.
- YouTube
- 20 minutes
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Insights into Mathematics
Reflections in Hyperbolic Geometry - Universal Hyperbolic Geometry Lecture 14

Explore reflections in hyperbolic geometry, comparing with Euclidean counterparts. Discover unique properties and surprising connections to circle geometry in this advanced mathematical exploration.
- YouTube
- 31 minutes
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- Free Video
International Centre for Theoretical Sciences
Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1

Introducción a la geometría hiperbólica: modelos, propiedades y trigonometría. Exploración de los modelos del semiplano superior, disco y hiperboloide, con énfasis en geodésicas, ángulos y curvatura constante.
- YouTube
- 1 hour 22 minutes
- On-Demand
- Free Video
Insights into Mathematics
Petrie Polygons of a Polyhedron - Universal Hyperbolic Geometry

Explore Petrie polygons on polyhedra, focusing on Platonic solids. Learn about tesselations, Schlafli symbols, and orthogonal projections in this geometric journey.
- YouTube
- 26 minutes
- On-Demand
- Free Video
Insights into Mathematics
Triangle Geometry Old and New - An Introduction to Hyperbolic Triangle Geometry

Explore classical and hyperbolic triangle geometry, covering perpendicularity, midpoints, and bilines. Learn about orthocenters, incenters, circumcenters, and more through visual illustrations without complex formulas.
- YouTube
- 1 hour 5 minutes
- On-Demand
- Free Video
Insights into Mathematics
Isosceles Triangles in Hyperbolic Geometry - Universal Hyperbolic Geometry - NJ Wildberger

Explore isosceles triangles in hyperbolic geometry, including special formulas, midpoint construction, and related theorems. Gain insights through proofs, exercises, and applications of the cross law.
- YouTube
- 33 minutes
- On-Demand
- Free Video
Insights into Mathematics
The J Function, SL(2) and the Jacobi Identity - Universal Hyperbolic Geometry

Explores connections between hyperbolic geometry, matrix algebra, and Lie theory, demonstrating how the Jacobi identity proves the concurrence of triangle altitudes in projective geometry.
- YouTube
- 42 minutes
- On-Demand
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