MathPlotAI Logo MathPlotAI

Northwest Airlines Flight Routes

Northwest Airlines Flight Routes
Loading the math board and drawing, please wait…
2019-12-25 01:06
VectorCoordinate GeometryGeometric Construction
This example demonstrates the flight routes of Northwest Airlines. Key mathematical concepts include vectors, straight lines, and ellipses. Using GeoGebra commands such as Line, OrthogonalLine, and Ellipse, the flight routes can be constructed. Suitable for high school mathematics education or student learning of coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. LineBisector(A, B) → m
  4. Vector(A, B) → u
  5. OrthogonalVector(u) → v
  6. OrthogonalLine(F, b) → j
  7. OrthogonalLine(V, s) → a
  8. OrthogonalLine(W, s) → g_1
  9. Midpoint(C, A) → J
  10. OrthogonalLine(Q, b) → l
  11. Intersect(a, l) → R
  12. Intersect(g_1, l) → T
  13. Polygon(R, T, 3) → poly1, q, r, t, Z
  14. Mirror(Z, l) → Z'
  15. Line(T, Z') → f_1
  16. Intersect(m, l) → C_1
  17. Line(F_1, f_1) → i_1
  18. Line(G_1, i_1) → j_1
  19. Intersect(j, j_1) → H_1
  20. Line(E_1, H_1) → l_1
  21. Line(F_1, l_1) → t_1
  22. Intersect(j, t_1) → I_1
  23. Line(I_1, j_1) → a_1
  24. OrthogonalLine(I, b) → h
  25. Intersect(h, m) → S
  26. LineBisector(A, C) → d
  27. Mirror(h, d) → h'
  28. Intersect(m, h') → N
  29. Intersect(m, d) → E
  30. OrthogonalLine(C, v, xOyPlane) → f
  31. Intersect(f, m) → U
  32. OrthogonalLine(M, d) → i
  33. Mirror(i, m) → i'
  34. OrthogonalLine(B, u, xOyPlane) → g
  35. Intersect(g, f) → D
  36. Mirror(M, m) → M'
  37. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  38. OrthogonalLine(V, a) → e
  39. Mirror(P, m) → P'
  40. Ellipse(P, P', N) → c
  41. Ellipse(P, P', O) → k
  42. OrthogonalLine(K, b) → p
  43. Mirror(poly1, l) → poly1'
  44. Line(E_1, f_1) → h_1
  45. Intersect(a_1, l) → B_1
  46. Line(B_1, j_1) → k_1
  47. Intersect(j, h_1) → L
  48. Intersect(j, i_1) → D_1
  49. Line(F_1, I_1) → m_1
  50. Intersect(i_1, l_1) → J_1
  51. Intersect(m_1, j_1) → K_1
  52. Polygon(E_1, L, D_1, J_1, H_1, I_1, B_1, G_1, K_1, F_1) → poly2, e_1, s_1, l_2, d_1, n, n_1, p_1, b_1, q_1, r_1

AI Drawing Prompt Reference

Draw the flight routes of Northwest Airlines using vectors and lines to construct ellipses. Start by drawing two points A and B, then draw line s through A and B, and the perpendicular bisector m of A and B. Next, draw the vector u from A to B and its perpendicular v. Continue by drawing the perpendicular line j from point F to line b, and the perpendicular line a from point V to line s, and so on, gradually constructing a series of lines and ellipses to form a complex figure with multiple intersections and polygons.
The prompt above was compiled from the original drawing commands and is for reference only.