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Core Proofs

This is for Dataflow Geometry learners who appreciate formal proofs. In this video, proofs are developed for the course's 2 major uses of Direction Vectors and their dot products: 2D: Enclosed Angle Cosine Theorem: d1 • d2 = cos θ Point - Axis Projection Theorem: x' = p • d 3D: The Glass Pane Meta Theorem a simple, intuitive way to prove all plane geometry theorems hold true in 3D , based on the reversibility of 3D coordinate rotations This concept shows how to easily prove that the Core 2D Theorems of Dataflow Geometry provably scale-up for use in 3D, leading to very powerful, advanced problem-solving techniques.