Everything Everywhere Daily Non-Euclidean Geometry
Dec 21, 2023
Explore the origins of Euclidean geometry and its challenges with the introduction of non-Euclidean geometry. Learn about the complexities of the fifth axiom in Euclidean geometry and the development of non-Euclidean geometries as alternatives. Discover the characteristics and differences between elliptic and hyperbolic geometry. Delve into real-world applications of non-Euclidean geometries in surveying and special relativity.
Chapters
Transcript
Episode notes
1 2 3 4 5
Introduction
00:00 • 2min
Exploring the Foundations of Geometry
02:24 • 3min
The Fifth Axiom: Parallel Postulate
04:58 • 5min
Types of Non-Euclidean Geometry and Their Curvatures
10:20 • 3min
Real-World Applications of Non-Euclidean Geometries and Completionist Club Membership
12:55 • 3min