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Geostix Demonstration in GeoGebra

Geostix Demonstration in GeoGebra
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2019-12-23 09:26
TriangleCircleGeometric Construction
This example demonstrates how to construct complex geometric figures and phenomena using GeoGebra through geometric drawing. The core mathematical concepts involved include angles, area, triangles, logarithmic functions, optimization problems, combinatorics, circles, and confidence intervals. The construction highlights the use of GeoGebra commands/objects such as Circle, Point, Intersect, and Segment. Suitable for high school and above learners to understand the application of geometric constructions and related mathematical concepts.

GeoGebra Commands & Parameters

  1. Circle(A, gr) → c
  2. Point(c) → B
  3. Circle(A, re) → d
  4. Circle(B, re) → e
  5. Intersect(d, e, 1) → C
  6. Segment(A, B) → a
  7. Segment(C, A) → b
  8. Segment(C, B) → f
  9. Circle(D, re) → g
  10. Point(g) → E
  11. Circle(D, gr) → h
  12. Circle(E, gr) → k
  13. Segment(D, E) → l
  14. Circle(G, gr) → p
  15. Point(p) → H
  16. Circle(G, or) → q
  17. Circle(H, or) → r
  18. Intersect(q, r, 1) → I
  19. Segment(G, I) → m
  20. Segment(I, H) → n
  21. Segment(G, H) → s
  22. Circle(J, bl) → t
  23. Point(t) → K
  24. Circle(J, pu) → c_1
  25. Circle(K, pu) → d_1
  26. Intersect(c_1, d_1, 1) → L
  27. Segment(J, L) → a_1
  28. Segment(L, K) → b_1
  29. Segment(K, J) → e_1
  30. Circle(P, or) → p_1
  31. Point(p_1) → Q
  32. Circle(P, gr) → q_1
  33. Circle(Q, gr) → r_1
  34. Intersect(q_1, r_1, 1) → R
  35. Segment(P, R) → l_1
  36. Segment(R, Q) → m_1
  37. Segment(Q, P) → n_1
  38. Circle(S, pu) → s_1
  39. Point(s_1) → T
  40. Circle(S, bl) → t_1
  41. Circle(T, bl) → c_2
  42. Intersect(t_1, c_2, 1) → U
  43. Segment(S, U) → a_2
  44. Segment(T, U) → b_2
  45. Segment(S, T) → d_2
  46. Intersect(h, k, 1) → F
  47. Segment(D, F) → i
  48. Segment(F, E) → j