Pappus 定理求立体表面积

GeoGebra 命令及参数

1. Sequence(Rotate[A + (r, 0), i, A], i, ((-pi)) / 2, pi / 2, (2 * pi / n)) → l1
2. Polygon(l1) → poly1
3. Centroid(poly1) → B
4. Polygon(E, G, F, D) → q1, e, g, f, d
5. Polygon(J, K, I) → t1, i, j, k
6. Circle(A, r) → c
7. Conic(K, D_1, Z, C_1, P) → h
8. Conic(F, E_1, B_1, A_1, Q) → p
9. Conic(S, G, J_1, W, V) → q
10. Conic(T, H_1, G_1, U, I_1) → r_2
11. Segment(V, A_1) → l
12. Segment(J, C_1) → m
13. Centroid(q1) → K_1
14. Centroid(t1) → L_1
15. Midpoint(N_1, O_1) → T_1
16. Midpoint(P_1, Q_1) → U_1
17. Midpoint(R_1, S_1) → V_1
18. Vector(T_1, O_1) → u
19. Vector(T_1, N_1) → v
20. Vector(U_1, Q_1) → w
21. Vector(U_1, P_1) → a
22. Vector(V_1, S_1) → b
23. Vector(V_1, R_1) → s
24. Segment(K, O_1) → t
25. Segment(I, N_1) → f_1
26. Segment(D, P_1) → g_1
27. Segment(F, Q_1) → h_1
28. Segment(M, R_1) → i_1
29. Segment(H_1, S_1) → j_1
30. Segment(L_1, W_1) → k_1
31. Midpoint(P, W_1) → Z_1
32. Vector(P, W_1) → u_1
33. Vector(Z_1, P) → v_1
34. Midpoint(Q, A_2) → B_2
35. Midpoint(A, B) → C_2
36. Midpoint(M_1, L_1) → D_2
37. Midpoint(C, K_1) → E_2
38. Segment(M_1, L_1) → m_1
39. Line(N, zAxis) → p_1
40. Line(F_1, zAxis) → q_1
41. Line(F_2, zAxis) → r_1
42. Circle(N, r, p_1) → c_1
43. Polygon(G_2, N, H_2) → t2, h_2, g_2, n_2
44. Circle(F_1, r, q1) → d_1
45. Circle(J_2, r, q1) → e_1
46. Polygon(J_2, L_2, K_2, F_1) → q2, j_2, l_2, k_2, s_1
47. Line(N_2, yAxis) → t_1
48. Sequence(Rotate[N_2 + (r, 0), i, t_1], i, ((-pi)) / 2, pi / 2, (2 * pi / n)) → l2
49. Polygon(l2) → poly2
50. Circle(N_2, r, r_1) → c_2
51. CircleArc(A, M, L) → d_2
52. Segment(I, J) → l_1
53. Segment(E, D) → n_1
54. Segment(M, L) → f_2
55. Segment(H, I_2) → i_2
56. Segment(A, O_2) → p_2
57. Segment(C, M_2) → m_2
58. Surface(n_2, Rotation, p_1) → a_1
59. Rotate(H_2, Rotation, p_1) → P_2
60. Rotate(G_2, Rotation, p_1) → Q_2
61. Segment(P_2, Q_2) → q_2
62. Circle(N, r, p_1) → e_2
63. Surface(l_2, Rotation, q_1) → b_1
64. Rotate(L_2, Rotation, q_1) → R_2
65. Rotate(K_2, Rotation, q_1) → S_2
66. Segment(R_2, S_2) → s_2
67. CircumcircleArc(U_2, T_2, F_2) → t_2
68. Rotate(t_2, Rotation, r_1) → c_3
69. Surface(t_2, Rotation, r_1) → w_1
70. Segment(U_2, F_2) → a_2
71. Segment(J_2, F_1) → b_2
72. Segment(N, G_2) → f_3
73. Sequence(I + ((r * cos(i)), (r / 3 * sin(i))), i, 0, (2 * pi), (2 * pi / 20)) → l3
74. Segment(J, Element[l3, dd]) → g_3
75. Sequence(D + ((r * cos(i)), (r / 3 * sin(i))), i, 0, (2 * pi), (2 * pi / 20)) → l4
76. Sequence(E + ((r * cos(i)), (r / 3 * sin(i))), i, 0, (2 * pi), (2 * pi / 20)) → l5
77. Segment(Element[l4, dd], Element[l5, dd]) → h_3
78. Sequence(A + ((r * cos(i)), (r / 3 * sin(i))), i, 0, (2 * pi), (2 * pi / 20)) → l6
79. CircumcircleArc(L, Element[l6, dd], M) → d_3