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Electromechanical Rotation

Electromechanical Rotation
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2014-06-19 11:13
CalculusIntegralProbability & StatisticsGeometric Construction
This example demonstrates the concept of electromechanical rotation. It involves core mathematical concepts such as Rotation, Indefinite Integral, Random Variables, Geometric Mean, Differential Calculus, and Congruence. The construction utilizes GeoGebra commands like Circle, Polygon, Rotate, Function, and Segment. It is suitable for high school students and engineers studying electromechanical systems.

GeoGebra Commands & Parameters

  1. Circle(B, C) → e
  2. Polygon(D, E, F, G) → poly1, d, e_1, f, g
  3. Polygon(D_1, E_1, F_1, G_1) → poly1_1, d_1, e_2, f_1, g_1
  4. Circle(B_1, C_1) → e_3
  5. Polygon(D_2, E_2, F_2, G_2) → poly1_2, d_2, e_4, f_2, g_2
  6. Polygon(D_3, E_3, F_3, G_3) → poly1_3, d_3, e_5, f_3, g_3
  7. Rotate(D_2, -2.0933333333333333, B_1) → H
  8. Rotate(E_2, -2.0933333333333333, B_1) → I
  9. Rotate(F_2, -2.0933333333333333, B_1) → J
  10. Rotate(G_2, -2.0933333333333333, B_1) → K
  11. Polygon(H, I, J, K) → poly2, h, i, j, k
  12. Rotate(D_2, 2.0933333333333333, B_1) → L
  13. Rotate(E_2, 2.0933333333333333, B_1) → M
  14. Rotate(F_2, 2.0933333333333333, B_1) → N
  15. Rotate(G_2, 2.0933333333333333, B_1) → O
  16. Polygon(L, M, N, O) → poly3, l, m, n, o
  17. Rotate(D_3, 2.0933333333333333, B_1) → P
  18. Rotate(E_3, 2.0933333333333333, B_1) → Q
  19. Rotate(F_3, 2.0933333333333333, B_1) → R
  20. Rotate(G_3, 2.0933333333333333, B_1) → S
  21. Polygon(P, Q, R, S) → poly4, p, q, r, s
  22. Rotate(D_3, -2.0933333333333333, B_1) → T
  23. Rotate(E_3, -2.0933333333333333, B_1) → U
  24. Rotate(F_3, -2.0933333333333333, B_1) → V
  25. Rotate(G_3, -2.0933333333333333, B_1) → W
  26. Polygon(T, U, V, W) → poly5, t, u, v, w
  27. Rotate(D_2, angle, B_1) → Z
  28. Rotate(E_2, angle, B_1) → A_1
  29. Rotate(F_2, angle, B_1) → H_1
  30. Rotate(G_2, angle, B_1) → I_1
  31. Polygon(Z, A_1, H_1, I_1) → poly6, z, a_1, h_1, i_1
  32. Rotate(T, angle, B_1) → T'
  33. Rotate(U, angle, B_1) → U'
  34. Rotate(V, angle, B_1) → V'
  35. Rotate(W, angle, B_1) → W'
  36. Polygon(T', U', V', W') → poly5', t', u', v', w'
  37. Rotate(L, angle, B_1) → L'
  38. Rotate(M, angle, B_1) → M'
  39. Rotate(N, angle, B_1) → N'
  40. Rotate(O, angle, B_1) → O'
  41. Polygon(L', M', N', O') → poly3', l', m', n', o'
  42. Rotate(D_3, angle, B_1) → J_1
  43. Rotate(E_3, angle, B_1) → K_1
  44. Rotate(F_3, angle, B_1) → L_1
  45. Rotate(G_3, angle, B_1) → M_1
  46. Polygon(J_1, K_1, L_1, M_1) → poly7, j_1, k_1, l_1, m_1
  47. Rotate(H, angle, B_1) → H'
  48. Rotate(I, angle, B_1) → I'
  49. Rotate(J, angle, B_1) → J'
  50. Rotate(K, angle, B_1) → K'
  51. Polygon(H', I', J', K') → poly2', h', i', j', k'
  52. Rotate(P, angle, B_1) → P'
  53. Rotate(Q, angle, B_1) → Q'
  54. Rotate(R, angle, B_1) → R'
  55. Rotate(S, angle, B_1) → S'
  56. Polygon(P', Q', R', S') → poly4', p', q', r', s'
  57. Rotate(D, angle, B) → D'
  58. Rotate(E, angle, B) → E'
  59. Rotate(F, angle, B) → F'
  60. Rotate(G, angle, B) → G'
  61. Polygon(D', E', F', G') → poly1', d', e', f', g'
  62. Rotate(D_1, angle, B) → N_1
  63. Rotate(E_1, angle, B) → O_1
  64. Rotate(F_1, angle, B) → P_1
  65. Rotate(G_1, angle, B) → Q_1
  66. Polygon(N_1, O_1, P_1, Q_1) → poly8, n_1, o_1, p_1, q_1
  67. Circle(R_1, S_1) → c
  68. Circle(R_2, S_2) → c_1
  69. Function((3 * sin((x - 10.47) / 3 + 0.05)) + 7.68, -10, 15) → r_1
  70. Function((3 * sin(x + 2.31)) - 3.16, -10, 15) → s_1
  71. Circle(B, V_1) → t_1
  72. Circle(B_1, W_1) → c_2
  73. Segment(B_2, C_2) → b_1
  74. Segment(R_1, Z_1) → a
  75. Segment(R_2, A_2) → b
  76. Circle(R_3, S_3) → c_3
  77. Circle(R_4, S_4) → c_4

AI Drawing Prompt Reference

Create a diagram illustrating electromechanical rotation with multiple circles and quadrilaterals, showing rotational relationships through geometric transformations. Start by drawing two circles, then create several quadrilaterals and rotate them around a central point to form a symmetrical rotational structure. Some quadrilaterals should be rotated around the circumference of a circle while maintaining geometric relationships. The final image should display rotational and symmetrical effects, suitable for educational purposes.
The prompt above was compiled from the original drawing commands and is for reference only.