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Canis Major Geometric Construction

Canis Major Geometric Construction
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2020-01-10 04:14
CircleVectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric construction and symmetry of the Canis Major figure, involving concepts like centroid, circumcircle, incircle, symmetry, geometric transformations, vectors, and linear regression. It uses commands such as Circle, Point, Segment, Rotate, Angle, Line, and Mirror in GeoGebra for construction, suitable for high school and above mathematics learners and educators.

GeoGebra Commands & Parameters

  1. Circle(A, r) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. Rotate(B, 60°, A) → B'
  5. Angle(B, A, B') → α
  6. Rotate(B', 60°, A) → B''
  7. Angle(B', A, B'') → β
  8. Rotate(B'', 60°, A) → B'''
  9. Angle(B'', A, B''') → γ
  10. Rotate(B''', 60°, A) → C
  11. Angle(B''', A, C) → δ
  12. Rotate(C, 60°, A) → C'
  13. Angle(C, A, C') → ε
  14. Rotate(C', 60°, A) → C''
  15. Angle(C', A, C'') → ζ
  16. Segment(A, C') → g
  17. Segment(A, C) → h
  18. Segment(A, B''') → i
  19. Segment(A, B'') → j
  20. Segment(A, B') → k
  21. Line(D, E) → l
  22. Mirror(c, l) → c'
  23. Mirror(A, l) → A'
  24. Mirror(B, l) → B'_1
  25. Segment(A', B'_1) → f'
  26. Mirror(A, l) → A'_1
  27. Mirror(C', l) → C''_1
  28. Segment(A'_1, C''_1) → g'
  29. Mirror(A, l) → A'_2
  30. Mirror(C, l) → C'_1
  31. Segment(A'_2, C'_1) → h'
  32. Mirror(A, l) → A'_3
  33. Mirror(B''', l) → F
  34. Segment(A'_3, F) → i'
  35. Mirror(A, l) → A'_4
  36. Mirror(B'', l) → B'''_1
  37. Segment(A'_4, B'''_1) → j'
  38. Mirror(A, l) → A'_5
  39. Mirror(B', l) → B''_1
  40. Segment(A'_5, B''_1) → k'
  41. Mirror(C'', l) → C'''
  42. Segment(B, B'_1) → m
  43. Segment(B', B''_1) → n
  44. Segment(B'', B'''_1) → p
  45. Segment(C', C''_1) → q
  46. Segment(C, C'_1) → s
  47. Segment(B''', F) → t