MathPlotAI Logo MathPlotAI

Funicular by Two Points

Funicular by Two Points
Loading the math board and drawing, please wait…
2019-10-15 21:10
VectorCoordinate GeometryGeometric Construction
This example demonstrates constructing a funicular track between two points using geometric principles. It involves core math concepts like vectors, lines, translation, segments, intersections, and points. The construction utilizes commands and objects such as Vector, Line, Translate, Segment, Intersect, Point, and Ray from GeoGebra. Suitable for high school students learning analytical geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Vector(A, B) → F_1
  2. Vector(C, D) → F_2
  3. Vector(E, F) → F_3
  4. Line(B, A) → f
  5. Line(C, D) → g
  6. Line(E, F) → h
  7. Translate(G, F_1) → G'
  8. Vector(G, G') → F1
  9. Translate(G', F_2) → G''
  10. Vector(G', G'') → F2
  11. Translate(G'', F_3) → G'''
  12. Vector(G'', G''') → F3
  13. Line(PolarAleatoria, m) → i
  14. Segment(G, O) → j
  15. Segment(G', O) → k
  16. Segment(G'', O) → l
  17. Segment(G''', O) → q
  18. Line(m, j) → r
  19. Intersect(f, r) → H
  20. Line(H, k) → s
  21. Intersect(g, s) → I
  22. Line(I, l) → t
  23. Intersect(h, t) → J
  24. Line(J, q) → a
  25. Segment(m, H) → b
  26. Segment(H, I) → c
  27. Segment(I, J) → d
  28. Point(a) → K
  29. Ray(J, K) → e
  30. Intersect(i, t) → L
  31. Ray(L, n) → f_1
  32. Segment(L, I) → g_1
  33. Intersect(g, f_1) → M
  34. Intersect(h, f_1) → N
  35. Line(O, i) → h_1
  36. Intersect(i, s) → P
  37. Segment(P, H) → i_1
  38. Segment(P, M) → j_1
  39. Intersect(f, j_1) → Q
  40. Line(G'', f_1) → k_1
  41. Intersect(h_1, k_1) → O'
  42. Segment(G'', O') → l_1
  43. Segment(G, O') → m_1
  44. Segment(G', O') → n_1
  45. Segment(G''', O') → p_1
  46. Segment(m, Q) → q_1
  47. Segment(Q, M) → r_1
  48. Segment(M, N) → s_1
  49. Line(N, p_1) → t_1
  50. Intersect(h_1, t_1) → R
  51. Ray(N, R) → a_1