弦多边形保持比值：多边形内角与分割的构造演示

GeoGebra 命令及参数

1. Line(A, A') → h
2. Point(h) → A''
3. Line(B, h) → i
4. Point(i) → B'
5. Polygon(B, A, 5) → poly1, a, b, c, d, e, E1, D, C
6. Line(C, h) → m
7. Point(m) → C_2
8. Line(D, h) → l
9. Point(l) → D'
10. Line(E1, h) → j
11. Point(j) → E'_1
12. Polygon(A'', E'_1, D', C_2, B') → poly4, a', e_2, d_2, c_2, b_2
13. Midpoint(b_2) → F''
14. Midpoint(a') → R''
15. Segment(E'_1, B') → f_2
16. Midpoint(e) → J
17. Midpoint(d) → I
18. Midpoint(c) → H
19. Midpoint(a) → F
20. Midpoint(b) → R
21. Polygon(R, F, J, I, H) → poly11, r_1, f_3, j_6, i_2, h_6
22. Segment(E1, B) → k_2
23. Intersect(f_3, k_2) → M
24. Intersect(h_6, k_2) → G
25. Line(G, i) → m_2
26. Line(M, m_2) → p_2
27. Intersect(p_2, f_2) → L
28. Intersect(m_2, f_2) → K
29. Polygon(A', B', C_2, D', E'_1) → poly2, a_1, b_1, c_1, d_1, e_1
30. Midpoint(a_1) → F'
31. Midpoint(e_1) → R'
32. Midpoint(b_1) → J'
33. Midpoint(d_1) → H'
34. Midpoint(c_1) → I'
35. Polygon(R', F', J', I', H') → poly3, g_1, f_1, j_1, i_1, h_1
36. Segment(H, R) → q
37. Line(R, h) → n_1
38. Line(F, h) → p_1
39. Line(H, p_1) → a_2
40. Polygon(K, R', F', L) → poly8, s, t_{3}, k_1, l_1
41. Line(J, p_1) → n_2
42. Polygon(K, R'', F'', L) → poly9, m_{3}, q_1, s_1, t_1
43. Polygon(H, I, J) → poly14, v_1, t_2, u
44. Segment(F, J) → t
45. Distance(R', R'') → a3
46. Segment(R'', H') → g_2
47. Segment(R', H') → h_2
48. Line(D, F) → m_1
49. Segment(E'_1, C_2) → j_2
50. Segment(E1, C) → l_2
51. Intersect(j_6, l_2) → N
52. Line(N, i) → q_2
53. Intersect(h_6, l_2) → O
54. Segment(J', F') → n
55. Segment(F'', J') → p
56. Line(O, i) → r
57. Intersect(j_2, r) → E
58. Intersect(j_2, q_2) → P
59. Polygon(P, J', L, K, E) → poly5, p_3, j', l_3, k_3, e_3
60. Polygon(E, H', I', P) → poly6, e_4, h', i', p_4
61. Polygon(O, G, M, J, N) → poly7, o, g_3, m_3, j_3, n_3