4.2: Plane Separation Behavior of the Euclidean, Taxicab, and Poincaré Planes

Опубликовано: 17 Январь 2025
на канале: Barsamian's Math Videos
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Topics

Cartesian half planes

Poincaré half planes

The Euclidean plane satisfies the Plane Separation Axiom (PSA)

The Taxicab plane satisfies PSA

The Poincaré plane satisfies PSA

Drawings showing how Poincaré plane satisfies PSA

Discussing concepts from Section 4.2 of Millman & Parker, Geometry: A Metric Approach with Models, 2nd Edition