费曼三角形的几何构造与旋转比值关系演示

GeoGebra 命令及参数

1. Segment(A_{4}, B_{4}) → a
2. OrthogonalLine(A_{4}, a) → f_{3}
3. Circle(A_{4}, h) → c_2
4. Intersect(c_2, f_{3}, 2) → C_{3}
5. OrthogonalLine(C_{3}, f_{3}) → g
6. Point(g) → D_{3}
7. Polygon(D_{3}, A_{4}, B_{4}) → t0, b, d, c
8. Midpoint(D_{3}, A_{4}) → Q_{3}
9. Midpoint(A_{4}, B_{4}) → T
10. Midpoint(D_{3}, B_{4}) → W
11. Circle(D_{3}, b / 5) → p_1
12. Circle(D_{3}, c / 5) → q_1
13. Circle(A_{4}, a / 5) → r_1
14. Circle(D_{3}, b / 6) → d_2
15. Circle(A_{4}, b / 6) → e_2
16. Circle(D_{3}, c / 6) → p_2
17. Circle(B_{4}, c / 6) → q_2
18. Circle(A_{4}, a / 6) → r_2
19. Circle(B_{4}, a / 6) → s_2
20. Circle(D_{3}, b / 7) → d_3
21. Intersect(a, b) → J_2
22. Circle(A_{4}, b / 7) → e_3
23. Circle(D_{3}, c / 7) → g_3
24. Circle(B_{4}, c / 7) → p_3
25. Circle(A_{4}, a / 7) → q_3
26. Circle(B_{4}, a / 7) → r_3
27. ImplicitCurve({M, N, O, P_{2}, Q}) → eq3
28. Circle(D_{3}, b / 9) → c_4
29. Circle(A_{4}, b / 9) → d_4
30. Circle(A_{4}, a / 9) → e_4
31. Circle(B_{4}, a / 9) → k_4
32. Circle(B_{4}, c / 9) → c_5
33. Circle(D_{3}, c / 9) → d_5
34. Midpoint(b) → T_3
35. Midpoint(T_3, D_{3}) → U_3
36. Midpoint(T_3, A_{4}) → W_3
37. Midpoint(a) → C_4
38. Midpoint(A_{4}, C_4) → D_4
39. Midpoint(C_4, B_{4}) → F_4
40. Midpoint(c) → H_4
41. Midpoint(H_4, B_{4}) → I_4
42. Midpoint(H_4, D_{3}) → K_4
43. Circle(A_{4}, a / n) → k_1
44. Intersect(k_1, a, 1) → F
45. Circle(B_{4}, c / n) → t_1
46. Intersect(t_1, c, 1) → S_1
47. Circle(D_{3}, b / n) → f_2
48. Intersect(f_2, b, 1) → T_1
49. Segment(A_{4}, S_1) → j_1
50. Segment(D_{3}, F) → m_1
51. Segment(B_{4}, T_1) → n_1
52. Intersect(m_1, n_1) → C_2
53. Intersect(j_1, m_1) → D_2
54. Intersect(j_1, n_1) → E_2
55. Polygon(D_2, C_2, E_2) → t1, a_1, b_1, g_2
56. Locus(P, n) → l
57. Locus(H_2, n) → lieu1
58. Point(lieu1) → R_2
59. Segment(F_2, R_2) → s
60. Intersect(yAxis, xAxis) → T_2
61. Segment(F_2, U_2) → h_1
62. Intersect(p, q, (1, 1)) → B
63. Polygon(D_2, E_2, C_2) → t2, i, j, k
64. Segment(D_{3}, T_1) → m
65. Polygon(D_2, E_2, C_2) → t3, r, t, f
66. Polygon(D_2, E_2, C_2) → t4, f_1, g_1, i_1
67. Polygon(D_2, E_2, C_2) → t5, l_1, s_1, c_1
68. Polygon(C_2, D_2, E_2) → t6, d_1, e_1, h_2
69. Polygon(E_2, D_2, C_2) → t7, e, i_2, j_2