Second Contour Points of Torus Intersection

GeoGebra Commands & Parameters

1. Line(O', A) → f
2. Point(f) → B
3. Circle(O', B) → c
4. Point(f) → C
5. Circle(O', C) → d
6. OrthogonalLine(O', f) → g
7. Midpoint(B, C) → D
8. OrthogonalLine(D, f) → h
9. Point(g) → E
10. OrthogonalLine(E, g) → i
11. Intersect(h, i) → F
12. Circle(F, Segment[D, C]) → e
13. Mirror(e, g) → e'
14. Mirror(h, g) → h'_1
15. Intersect(e', h'_1, 2) → G
16. Intersect(e, h, 2) → H
17. Segment(G, H) → j
18. Intersect(e', h'_1, 1) → I
19. Intersect(e, h, 1) → J
20. Segment(I, J) → k
21. Line(O', K) → l
22. OrthogonalLine(K, l) → n_1
23. Line(I, J) → n_2
24. Line(G, H) → p
25. Point(l) → L
26. OrthogonalLine(L, l) → q
27. OrthogonalLine(K, f) → r
28. OrthogonalLine(L, f) → s
29. Intersect(r, n_2) → M
30. Intersect(s, p) → N
31. Segment(M, N) → t
32. Point(t) → P_2
33. OrthogonalLine(P_2, g) → a
34. Intersect(e', a) → Q, P_0''p
35. Intersect(e, a) → S, T
36. Intersect(a, g) → U
37. Circle(O', Segment[U, Q]) → c_1
38. Circle(O', Segment[U, P_0''p]) → d_1
39. OrthogonalLine(P_2, i) → b
40. Intersect(l, b) → V
41. OrthogonalLine(V, l) → f_1
42. Center(e') → I_1
43. Intersect(d_1, f_1) → P', Z
44. Intersect(c_1, f_1) → A_1, B_1
45. Locus(P', P_2) → ponthalmaz1
46. Locus(A_1, P_2) → ponthalmaz2
47. Locus(B_1, P_2) → ponthalmaz3
48. Locus(Z, P_2) → ponthalmaz4
49. OrthogonalLine(Z, f) → g_1
50. OrthogonalLine(B_1, f) → h_1
51. OrthogonalLine(A_1, f) → i_1
52. OrthogonalLine(P', f) → j_1
53. Intersect(g_1, a) → C_1
54. Intersect(h_1, a) → D_1
55. Segment(P_0''p, S) → k_2
56. Intersect(i_1, a) → E_1
57. Intersect(j_1, a) → P''
58. Locus(P'', P_2) → ponthalmaz5
59. Locus(E_1, P_2) → ponthalmaz6
60. Locus(D_1, P_2) → ponthalmaz7
61. Locus(C_1, P_2) → ponthalmaz8
62. Point(n_1) → O
63. OrthogonalLine(O, n_1) → m
64. Intersect(q, m) → P
65. Mirror(m, O') → m'
66. Intersect(n_1, m') → R
67. Intersect(q, m') → W
68. OrthogonalLine(O, n_2) → n
69. OrthogonalLine(P, n_2) → k_1
70. OrthogonalLine(R, n_2) → l_1
71. OrthogonalLine(W, p) → m_1
72. Intersect(n, n_2) → F_1
73. Intersect(k_1, p) → G_1
74. Intersect(l_1, n_2) → H_1
75. Intersect(m_1, p) → J_1
76. Polygon(P, W, R, O) → q1, h', w, r_1, o
77. Polygon(F_1, G_1, J_1, H_1) → q2, s_1, h'', a_1, b_1
78. OrthogonalLine(O', l_1) → e_1
79. Intersect(e_1, q) → K_1
80. Intersect(e_1, n_1) → L_1
81. Segment(L_1, K_1) → v'
82. OrthogonalLine(L_1, n_2) → g_2
83. OrthogonalLine(K_1, n_2) → h_2
84. Intersect(g_2, n_2) → M_1
85. Intersect(h_2, p) → N_1
86. Line(O', P') → q_1
87. Segment(L_1, M_1) → i_2
88. Segment(K_1, N_1) → j_2
89. Segment(M_1, N_1) → v''
90. Intersect(e', v'') → O_1, P_1
91. Intersect(e, v'') → Q_1, R_1
92. OrthogonalLine(O_1, p) → m_2
93. OrthogonalLine(P_1, p) → p_2
94. OrthogonalLine(Q_1, n_2) → q_2
95. OrthogonalLine(R_1, n_2) → r_2
96. Intersect(r_2, e_1) → S_1
97. Intersect(q_2, e_1) → T_1
98. Intersect(p_2, e_1) → U_1
99. Intersect(m_2, e_1) → V_1
100. Segment(O_1, V_1) → s_2
101. Segment(U_1, P_1) → t_2
102. Segment(Q_1, T_1) → a_2
103. Segment(S_1, R_1) → b_2