摆线

GeoGebra 命令及参数

1. Circle(C, r) → c
2. Segment(P, C) → a
3. Line(P, C) → b
4. OrthogonalLine(C, b) → d
5. Intersect(d, b) → A
6. Intersect(c, d) → B, D
7. Intersect(c, b) → E, F
8. Line(D, C) → e
9. Line(F, C) → f
10. Line(C, B) → g
11. Segment(C, D) → h
12. Segment(C, F) → i
13. Segment(C, B) → j
14. Mirror(c, yAxis) → c'
15. Mirror(P, yAxis) → P'
16. Point(xAxis) → G
17. OrthogonalLine(G, xAxis) → k
18. Mirror(c', k) → c''
19. Mirror(P', k) → P''
20. Mirror(C, yAxis) → C'
21. Mirror(B, yAxis) → B'
22. Segment(C', B') → j'
23. Mirror(C, yAxis) → C'_1
24. Mirror(D, yAxis) → D'
25. Segment(C'_1, D') → h'
26. Mirror(C, yAxis) → C'_2
27. Mirror(B, yAxis) → B'_1
28. Segment(C'_2, B'_1) → j'_1
29. Mirror(C', k) → C''
30. Mirror(C', k) → C''_1
31. Mirror(B', k) → B''
32. Segment(C''_1, B'') → j''
33. Mirror(C'_1, k) → H
34. Mirror(D', k) → D''
35. Segment(H, D'') → h''
36. Mirror(P, yAxis) → P'_1
37. Mirror(C, yAxis) → C'_3
38. Segment(P'_1, C'_3) → a'
39. Mirror(P'_1, k) → I
40. Mirror(C'_3, k) → J
41. Segment(I, J) → a''
42. Mirror(C, yAxis) → C'_4
43. Mirror(F, yAxis) → F'
44. Segment(C'_4, F') → i'
45. Mirror(C'_4, k) → K
46. Mirror(F', k) → F''
47. Segment(K, F'') → i''
48. Segment(C, C'') → l
49. Midpoint(C'', C) → L
50. OrthogonalLine(L, l) → m
51. OrthogonalLine(C, l) → n
52. OrthogonalLine(C'', l) → p
53. Point(m) → M
54. Line(C, M) → q
55. Line(C'', M) → s
56. OrthogonalLine(M, m) → a_1
57. Intersect(a_1, p) → N
58. Intersect(n, a_1) → O
59. Line(N, L) → b_1
60. Line(O, L) → c_1
61. Line(N, s) → d_1
62. Line(C, c_1) → e_1
63. Midpoint(N, M) → Q
64. Midpoint(M, O) → R
65. Intersect(a_1, e_1) → S
66. Midpoint(O, S) → T
67. Segment(R, T) → f_1
68. Midpoint(R, O) → U
69. Midpoint(O, T) → V
70. Segment(U, V) → g_1
71. Segment(U, V) → h_1
72. Segment(V, U) → i_1
73. Intersect(b_1, s) → W
74. Midpoint(N, W) → Z
75. Circle(N, Z) → k_1
76. Intersect(k_1, b_1) → A_1, B_1
77. Segment(B_1, Z) → j_1
78. Segment(N, C'') → l_1
79. Segment(O, C) → m_1
80. Segment(U, V) → n_1
81. Segment(V, U) → p_1
82. Segment(O, V) → q_1
83. Segment(T, R) → r_1
84. Segment(T, U) → s_1
85. Segment(V, U) → t_1
86. Intersect(k_1, a_1) → C_1, D_1
87. Segment(N, C_1) → a_2
88. Intersect(q, c_1) → E_1
89. Segment(E_1, C) → b_2
90. Segment(W, C'') → c_2
91. Segment(W, C'') → d_2
92. Midpoint(M, E_1) → F_1
93. Midpoint(M, W) → G_1
94. Line(F_1, G_1) → e_2
95. Intersect(n, e_2) → H_1
96. Intersect(p, e_2) → I_1
97. Segment(H_1, I_1) → f_2
98. Segment(F_1, E_1) → g_2
99. Segment(W, G_1) → h_2
100. Segment(F_1, E_1) → i_2
101. Segment(F_1, E_1) → j_2
102. Circle(C, r / 3) → Circ
103. Intersect(Circ, n, 1) → J_1
104. Intersect(n, m_1) → K_1
105. Intersect(n, m_1) → L_1
106. Intersect(n, m_1) → M_1
107. Intersect(n, m_1) → N_1
108. Intersect(Circ, n, 2) → O_1
109. Segment(O_1, C'') → k_2
110. Segment(J_1, C'') → l_2
111. Intersect(d_1, e_2) → P_1
112. Segment(I_1, P_1) → m_2
113. Segment(I_1, P_1) → n_2
114. Segment(I_1, P_1) → p_2
115. Segment(I_1, P_1) → q_2
116. Intersect(d_1, xAxis) → Q_1
117. Intersect(s, xAxis) → R_1
118. Line(Q_1, R_1) → r_2
119. Intersect(f_2, m_1) → S_1