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NALINI Logo

NALINI Logo
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2019-10-10 23:59
CircleVectorGeometric Construction
This GeoGebra example demonstrates the construction of the NALINI logo. Key mathematical concepts include angles, circles, and geometric shapes. Using GeoGebra commands such as Line, Vector, Midpoint, etc., various parts of the logo are constructed. Suitable for students at the junior high school level and above for geometric construction learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. Line(F, m) → h
  5. Midpoint(E, B) → D
  6. Mirror(h, D) → h'
  7. Line(D, h') → j
  8. Line(E, m) → f
  9. OrthogonalLine(B, f) → g
  10. Intersect(g, f) → C
  11. OrthogonalLine(G, m) → i
  12. Mirror(i, D) → i'
  13. Intersect(i, h') → I
  14. Polygon(E, C, B, A) → q2, e, c, b, a
  15. OrthogonalLine(D, j) → k
  16. Intersect(h, i) → P
  17. Mirror(Q, j) → Q'
  18. Line(R, j) → p
  19. Mirror(p, j) → p'
  20. OrthogonalLine(Q', p') → q
  21. Intersect(q, p) → S
  22. Mirror(S, j) → S'
  23. Intersect(i, p') → K
  24. Intersect(j, q) → J
  25. Circle(D, J) → d
  26. Intersect(k, h) → M
  27. Intersect(i', j) → N
  28. LineBisector(L, H) → l
  29. LineBisector(L, O) → n
  30. LineBisector(O, H) → r
  31. Line(W, m) → f_1
  32. Intersect(f_1, r) → Z
  33. CircleArc(Z, O, H) → t
  34. Intersect(n, i') → U
  35. CircleArc(U, L, O) → c_1
  36. OrthogonalLine(V, f) → g_1
  37. Intersect(g_1, l) → A_1
  38. CircleArc(A_1, L, H) → s
  39. Intersect(s, d) → T, B_1, ,
  40. Intersect(c_1, d) → C_1, D_1, ,
  41. Intersect(d, t) → E_1, F_1, ,
  42. Polygon(B_1, D_1, L) → t1, l_1, b_1, d_1
  43. Polygon(E_1, C_1, O) → t2, o_1, e_1, h_1
  44. Polygon(F_1, H, T) → t3, t_1, i_1, h_2
  45. Polygon(B_1, D_1, C_1, E_1, F_1, T) → poly1, j_1, k_1, m_1, n_1, p_1, t_2
  46. CircleArc(Z, E_1, F_1) → q_1
  47. CircleArc(U, D_1, C_1) → r_1
  48. Segment(D_1, C_1) → s_1
  49. Segment(F_1, E_1) → a_1