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Euclidean Rotation Two Frames Demo

Euclidean Rotation Two Frames Demo
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2018-01-02 05:25
TrigonometryCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the transformation of geometric figures in Euclidean space through rotating frames. Core math concepts include rotation, trigonometry, and geometric construction. It utilizes GeoGebra commands like Rotate, Sequence, and Segment, with sliders to control rotation angles and displacements, dynamically showing the rotation effects. Suitable for high school and above students to learn geometric transformations, trigonometric applications, and analytical geometry.

GeoGebra Commands & Parameters

  1. Rotate(A, α, C) → A'
  2. Sequence(Segment[(n, 0), (n, j)], n, 1, j) → xgrid
  3. Sequence(Segment[(0, n), (j, n)], n, 0, j) → ygrid
  4. Rotate(ygrid, α, F_1) → ygrid'
  5. Rotate(xgrid, α, F_1) → xgrid'
  6. Rotate(D, α, F_1) → D'
  7. Rotate(E, α, F_1) → E'
  8. Segment((0, 0), (0, 10)) → f
  9. Rotate(f, α, F_1) → f'
  10. Rotate(F, α) → F'
  11. Segment(D, E) → g
  12. Segment(E, F) → h
  13. Segment(F, D) → i
  14. Segment(D', E') → k
  15. Segment(E', F') → l
  16. Segment(F', D') → m