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Ellipse Structure

Ellipse Structure
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2016-11-27 03:15
CircleTransformationGeometric Construction
This example demonstrates the basic structure and properties of an ellipse. It involves core mathematical concepts such as similarity transformation, terms, and percentages. Using GeoGebra commands like Circle, Point, Line, etc., it dynamically shows the generation process of an ellipse. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Line(A, C) → f
  4. Point(xAxis) → D
  5. Line(C, D) → g
  6. Midpoint(D, C) → E
  7. OrthogonalLine(E, g) → h
  8. Intersect(f, h) → F
  9. Line(D, F) → i
  10. Locus(F, C) → loc1
  11. Midpoint(A, D) → G
  12. OrthogonalLine(G, xAxis) → j
  13. Segment(D, F) → k
  14. Line(F, xAxis) → l
  15. Segment(A, F) → m
  16. OrthogonalLine(E_d, l) → p
  17. Intersect(l, p) → H
  18. Segment(F, H) → q
  19. Distance(D, J) → distanceDJ
  20. Distance(G, J) → distanceGJ
  21. Distance(G, D) → distanceGD
  22. Angle(D, A, F) → α
  23. Vector(A, F) → u
  24. Circle(I, 1) → d
  25. Circle(I, 2) → r
  26. Circle(I, 3) → c_1
  27. Circle(I, 4) → d_1
  28. Circle(I, 5) → e_1
  29. Circle(I, 6) → f_1
  30. Circle(I, 7) → g_1
  31. Circle(I, 8) → h_1
  32. Circle(I, 9) → k_1
  33. Circle(I, 10) → p_1
  34. Circle(I, 11) → q_1
  35. Circle(I, 12) → r_1
  36. Circle(I, 13) → s_1
  37. Circle(I, 14) → t_1
  38. Circle(I, 15) → c_2
  39. Segment(G, K) → b
  40. Segment(G, J) → i_1
  41. Segment(R, S) → j_1
  42. Segment(D, K) → l_1
  43. Midpoint(I, D) → T
  44. Intersect(p, q) → U