6.3 Composition of Isometries (Basic Mathematics)

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What happens when you combine isometries? We see that composition of isometries behaves much like multiplication, with some caveats. We learn how fundamental composition is in mathematics.

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  1. Real Physics
  2. Basic Mathematics
  3. composition
  4. isometries
  5. composition of isometries
  6. translation
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I am not sure of what sort of composition of isometries you are describing for the sort described in Ch:8 L:3 of Harold Jacobs Geometry (Seeing, Doing, Understanding) defines isometry as "a transformation that preserves distance and angle measure".

josephpostma