Archimedes球体表面积示意图

GeoGebra 命令及参数

1. Segment(A_1, B_1) → a
2. Circle(O, a) → c
3. Point(c) → A
4. Rotate(A, α, O) → J
5. Polygon(A, J, n) → poly1, b, l, I, H, G, C, B, F, E, D, d, e, f, g, h, i, j, k
6. Segment(A, D) → m
7. Segment(D, E) → p
8. Segment(E, F) → q
9. Segment(F, B) → r
10. Segment(B, C) → s
11. Segment(C, G) → t
12. Segment(G, H) → a_3
13. Segment(H, I) → b_1
14. Segment(I, J) → c_1
15. Segment(J, A) → d_1
16. Segment(A, C) → e_1
17. Segment(J, D) → f_1
18. Segment(I, E) → g_1
19. Segment(H, F) → h_1
20. Segment(G, B) → i_1
21. Segment(H, B) → j_1
22. Segment(I, F) → k_1
23. Segment(J, E) → l_1
24. Segment(A, B) → m_1
25. Intersect(e_1, f_1) → K
26. Intersect(e_1, l_1) → L
27. Intersect(e_1, g_1) → M
28. Intersect(e_1, h_1) → N
29. Intersect(e_1, j_1) → P
30. Intersect(e_1, i_1) → Q
31. Distance(K, D) → distanceKD
32. Midpoint(K, D) →
33. Distance(M, E) → distanceME
34. Midpoint(M, E) →
35. Distance(N, F) → distanceNF
36. Midpoint(N, F) →
37. Distance(Q, B) → distanceQB
38. Midpoint(Q, B) →
39. Distance(A, K) → distanceAK
40. Midpoint(A, K) →
41. Distance(L, M) → distanceLM
42. Midpoint(L, M) →
43. Distance(O, N) → distanceON
44. Midpoint(O, N) →
45. Distance(P, Q) → distancePQ
46. Midpoint(P, Q) →
47. Intersect(e_1, h_1) → R
48. Distance(A, D) → distanceAD
49. Midpoint(A, D) →
50. Distance(A, B) → distanceAB
51. Midpoint(A, B) →
52. Segment(D, K) → r_1
53. Segment(K, J) → p_1
54. Segment(I, M) → q_1
55. Segment(M, E) → r_2
56. Segment(F, N) → r_3
57. Segment(N, H) → t_1
58. Segment(G, Q) → a_4
59. Segment(Q, B) → r_4
60. Segment(A, K) → a_11
61. Segment(K, L) → a_2
62. Segment(L, M) → b_2
63. Segment(M, O) → c_2
64. Segment(O, N) → d_2
65. Segment(N, P) → e_2
66. Segment(P, Q) → f_2
67. Segment(Q, C) → g_2