球面镜像变换

GeoGebra 命令及参数

1. Intersect(xAxis, zAxis) → A
2. Sphere(A, 1) → a
3. PointIn(a) → B
4. Line(A, B) → f
5. OrthogonalPlane(A, f) → p
6. IntersectPath(p, a) → c
7. Point(c) → C
8. Plane(C, f) → q
9. OrthogonalLine(A, q) → g
10. Intersect(g, c, 1) → D
11. CircleArc(A, B, D) → d
12. CircleArc(A, C, D) → e
13. CircleArc(A, B, C) → h
14. PointIn(a) → E
15. PointIn(a) → F
16. CircleArc(A, E, F) → k
17. PointIn(a) → G
18. CircleArc(A, F, G) → r
19. PointIn(a) → H
20. CircleArc(A, G, H) → s
21. PointIn(a) → I
22. CircleArc(A, H, I) → t
23. PointIn(a) → J
24. CircleArc(A, I, J) → c_1
25. PointIn(a) → K
26. CircleArc(A, J, K) → d_1
27. PointIn(a) → L
28. CircleArc(A, K, L) → e_1
29. PointIn(a) → M
30. CircleArc(A, L, M) → f_1
31. PointIn(a) → N
32. CircleArc(A, M, N) → g_1
33. CircleArc(A, N, E) → h_1
34. Plane(A, D, B) → p_1
35. Mirror(k, p_1) → k'
36. Mirror(h_1, p_1) → k_1
37. Mirror(g_1, p_1) → q_1
38. Mirror(f_1, p_1) → r_1
39. Mirror(e_1, p_1) → s_1
40. Mirror(d_1, p_1) → t_1
41. Mirror(c_1, p_1) → c_2
42. Mirror(t, p_1) → t'
43. Mirror(s, p_1) → s'
44. Mirror(r, p_1) → r'
45. Mirror(s, p) → s'_{1}
46. Mirror(t, p) → t'_{1}
47. Mirror(c_1, p) → d_2
48. Mirror(d_1, p) → e_2
49. Mirror(e_1, p) → f_2
50. Mirror(f_1, p) → g_2
51. Mirror(g_1, p) → h_2
52. Mirror(h_1, p) → k_2
53. Mirror(k, p) → k'_{1}
54. Mirror(k, q) → k'_{2}
55. Mirror(h_1, q) → p_2
56. Mirror(g_1, q) → q_2
57. Mirror(f_1, q) → r_2
58. Mirror(e_1, q) → s_2
59. Mirror(d_1, q) → t_2
60. Mirror(c_1, q) → c_3
61. Mirror(t, q) → t'_{2}
62. Mirror(s, q) → s'_{2}
63. Mirror(r, q) → r'_{2}
64. Mirror(p_2, p_1) → d_3
65. Mirror(k'_{2}, p_1) → e_3
66. Mirror(r'_{2}, p_1) → f_3
67. Mirror(s'_{2}, p_1) → g_3
68. Mirror(t'_{2}, p_1) → h_3
69. Mirror(c_3, p_1) → k_3
70. Mirror(t_2, p_1) → p_3
71. Mirror(s_2, p_1) → q_3
72. Mirror(r_2, p_1) → r_3
73. Mirror(p_2, q) → t_3
74. Mirror(r'_{2}, p) → c_4
75. Mirror(k'_{2}, p) → d_4
76. Mirror(p_2, p) → e_4
77. Mirror(q_2, p) → f_4
78. Mirror(r_2, p) → g_4
79. Mirror(s_2, p) → h_4
80. Mirror(t_2, p) → k_4
81. Mirror(t'_{2}, p) → q_4
82. Mirror(s'_{2}, p) → r_4
83. Mirror(q_1, q) → s_4
84. Mirror(r, p) → r'_{1}
85. Mirror(s'_{1}, p_1) → s_3
86. Mirror(r'_{1}, p_1) → p_4
87. Mirror(k'_{1}, p_1) → t_4
88. Mirror(k_2, p_1) → c_5
89. Mirror(h_2, p_1) → d_5
90. Mirror(g_2, p_1) → e_5
91. Mirror(f_2, p_1) → f_5
92. Mirror(e_2, p_1) → g_5
93. Mirror(d_2, p_1) → h_5
94. Mirror(t', p) → t''
95. Mirror(t_4, q) → k_5
96. Mirror(p_4, q) → p_5
97. Mirror(s_3, q) → q_5
98. Mirror(t'', q) → t'''
99. Mirror(h_5, q) → r_5
100. Mirror(g_5, q) → s_5
101. Mirror(f_5, q) → t_5
102. Mirror(e_5, q) → c_6
103. Mirror(d_5, q) → d_6
104. Mirror(c_5, q) → e_6
105. Mirror(d_2, q) → f_6