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Harmonic Addition 2

Harmonic Addition 2
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2017-11-29 12:53
CircleAngleTransformation
This example demonstrates the geometric representation of harmonic addition. Key mathematical concepts include circles, angles, and rotation. Using GeoGebra commands such as Point, Distance, Segment, and Circle, a series of geometric objects are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_0
  2. Point(yAxis) → B_0
  3. Point(yAxis) → C_0
  4. Distance(A_0, A_3) → a
  5. Distance(B_0, B_3) → b
  6. Distance(C_0, C_{3}) → c
  7. Segment(A', C_0) → f
  8. Segment(C_0, B') → g
  9. Segment(B', C) → h
  10. Segment(C, A') → i
  11. Circle(C_0, C_{3}) → d
  12. Circle(B_0, B_3) → e
  13. Circle(A_0, A_3) → k
  14. Segment(A_0, A_{1}) → j
  15. Segment(A_{1}, A) → l
  16. Segment(A, A_0) → m
  17. Segment(B_0, B_{1}) → n
  18. Segment(B_{1}, B) → p
  19. Segment(B, B_0) → q
  20. Segment(C_0, C_{1}) → r
  21. Segment(C_{1}, C) → s
  22. Segment(C, C_0) → t