Topics in Euclidean Foundations: Properties of Similarities

Numbered in the order to learn them.

  1. Euclidean Foundations: Similarity Transformations Preserve Vector Orthogonality

  2. Euclidean Foundations: Three Points Uniquely Determine Similarity Transformations

  3. Euclidean Foundations: Similarity Transformations Preserve Linear Relations

  4. Euclidean Foundations: Similarities Fix or Reverse Triangle Vertex Orientation

  5. Defining Dilations, Isometries, and Similarities After Distance Metric

  6. Euclidean Foundations: Similarities, Arcs, and Angles

Type a concept, like “slope” or “photosynthesis”.

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