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| Subject: | Mathematics |
| Topic: | Non-Euclidean Geometry |
| Views: | 25,092 |
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Visual Introduction to Projective Geometry
Course Description
Protective geometry is deeper and more fundamental than standard euclidean geometry, and has many applications in fundamental physics, biology and perspective drawing. We shall introduce it visually, without relying upon equations. The hope is make this beautiful subject accessible to anybody, without requiring prior knowledge of mathematics. At the same time, there are some very deep, rarely discussed ideas in this subject which could also benefit experts.
Lecture 1: Why Perspective Drawing Works
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Video Lectures & Study Materials
| # | Lecture | Play Lecture |
|---|---|---|
| 1 | Why Perspective Drawing Works (37:51) | Play Video |
| 2 | Without Equations, Conics & Spirals (20:59) | Play Video |
| 3 | Foundations & Tilings in Perspective (38:12) | Play Video |
| 4 | When Does A Parabola Look Like An Ellipse? (28:27) | Play Video |
| 5 | Desargues' Theorem Proof (14:18) | Play Video |
| 6 | Axioms, Duality and Projections (28:58) | Play Video |
| 7 | Conics Made Easily and Beautifully (5:44) | Play Video |
| 8 | Harmonic Quadrangles & The 13 Configuration (26:50) | Play Video |
| 9 | The Line Woven Net (4:36) | Play Video |
| 10 | Brianchon's Theorem (Pascal's Dual) (5:21) | Play Video |
| 11 | Five Points Define A Conic (18:45) | Play Video |
| 12 | Projective Transformations Of Lines (16:45) | Play Video |
| 13 | Involutions Of The Line (9:28) | Play Video |
| 14 | Constructing The Dual Of A Quadrangle - The Thirteen Point Configuration (1:40) | Play Video |
| 15 | Pascal's Hexagrammum Mysticum Theorem (1:06) | Play Video |
| 16 | Non Euclidean Geometry & Hyperbolic Social Networks (1:05:08) | Play Video |
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