Root Rectangles 4-8

GeoGebra Commands & Parameters

1. Point(xAxis) → A
2. Point(xAxis) → B
3. Point(xAxis) → D
4. Point(yAxis) → E
5. Segment(O, P) → n
6. Point(xAxis) → C
7. Point(xAxis) → G
8. Polygon(C, G, 4) → poly1, f, g, h, i, H, I
9. Segment(C, H) → j
10. Line(C, G) → k
11. Circle(C, H) → c
12. Intersect(c, k, 2) → J
13. OrthogonalLine(J, k) → l
14. Line(H, k) → m
15. Intersect(l, m) → A_1
16. Polygon(G, H, A_1, J) → q1, g_1, h_1, a_1, j_1
17. Circle(C, A_1) → d
18. Intersect(d, k, 2) → B_1
19. Line(B_1, l) → p
20. Intersect(m, p) → C_1
21. Polygon(J, B_1, C_1, A_1) → q2, j_2, b_1, c_1, q
22. Circle(C, C_1) → e
23. Intersect(e, k, 2) → D_1
24. Line(D_1, p) → r
25. Intersect(m, r) → E_1
26. Polygon(B_1, D_1, E_1, C_1) → q3, s, d_1, e_1, t
27. Circle(C, E_1) → f_1
28. Intersect(f_1, k, 2) → F_1
29. Line(F_1, r) → a
30. Intersect(m, a) → G_1
31. Polygon(D_1, F_1, G_1, E_1) → q4, b, i_1, k_1, l_1
32. Circle(C, G_1) → p_1
33. Intersect(p_1, k, 2) → H_1
34. Line(H_1, a) → m_1
35. Intersect(m, m_1) → I_1
36. Polygon(F_1, H_1, I_1, G_1) → q5, n_1, q_1, r_1, s_1
37. Circle(C, I_1) → t_1
38. Intersect(t_1, k, 2) → J_1
39. Line(J_1, m_1) → f_2
40. Intersect(m, f_2) → K_1
41. Polygon(H_1, J_1, K_1, I_1) → q6, g_2, h_2, i_2, k_2
42. Circle(C, K_1) → c_2
43. Intersect(c_2, k, 2) → L_1
44. Line(L_1, f_2) → l_2
45. Intersect(m, l_2) → M_1
46. Polygon(J_1, L_1, M_1, K_1) → q7, m_2, n_2, p_2, q_2
47. Circle(C, M_1) → d_2
48. Intersect(d_2, k, 2) → N_1
49. Line(N_1, l_2) → r_2
50. Intersect(m, r_2) → O_1
51. Polygon(L_1, N_1, O_1, M_1) → q8, s_2, t_2, o_1, a_2
52. CircleArc(C, J, H) → e_2
53. CircleArc(C, B_1, A_1) → c_3
54. CircleArc(C, D_1, C_1) → d_3
55. CircleArc(C, F_1, E_1) → e_3
56. CircleArc(C, J_1, I_1) → f_3
57. CircleArc(C, H_1, G_1) → g_3
58. CircleArc(C, L_1, K_1) → h_3
59. CircleArc(C, N_1, M_1) → k_3
60. Polygon(C, G, 8) → poly2, b_2, Q_1, R_1, S_1, T_1, U_1, i_3, j_3, l_3, m_3, n_3, p_3, q_3, P_1
61. Rotate(H, (-(135°)), I) → H'
62. Angle(H', I, H) → β
63. Rotate(H, 135°, I) → H'_1
64. Angle(H, I, H'_1) → γ
65. Rotate(H, (-(67.5°)), I) → H'_2
66. Angle(H'_2, I, H) → α
67. Line(I, H'_2) → r_3
68. Intersect(r_3, f) → V_1
69. Rotate(I_1, 67.5°, M_1) → Z_1
70. Angle(I_1, M_1, Z_1) → ε
71. Line(M_1, Z_1) → s_3
72. Intersect(s_3, n_1) → A_2
73. Segment(V_1, I) → t_3
74. Segment(A_2, M_1) → a_3
75. Polygon(I, V_1, 8) → poly3, b_3, C_2, D_2, E_2, F_2, G_2, f_4, g_4, h_4, i_4, j_4, k_4, l_4, B_2
76. Segment(G_2, E_2) → m_4
77. Polygon(E_2, G_2, 4) → poly4, n_4, p_4, q_4, r_4, W_1, H_2
78. Segment(I, F_2) → s_4
79. Polygon(F_2, I, 4) → poly5, t_4, a_4, b_4, c_4, I_2, J_2
80. Point(xAxis) → K_2
81. Point(xAxis) → L_2
82. Polygon(K_2, L_2, 8) → poly6, d_4, N_2, O_2, P_2, Q_2, R_2, e_4, f_5, g_5, h_5, i_5, j_5, k_5, M_2
83. Segment(P_2, K_2) → l_5
84. Segment(R_2, M_2) → m_5
85. Intersect(l_5, m_5) → S_2
86. Segment(S_2, R_2) → n_5
87. Point(xAxis) → T_2
88. Line(T_2, K_2) → p_5
89. OrthogonalLine(T_2, p_5) → q_5
90. Intersect(q_5, n_5) → U_2
91. Polygon(U_2, S_2, 4) → poly7, r_5, s_5, t_5, a_5, V_2, W_2
92. Segment(S_2, W_2) → b_5
93. CircleArc(S_2, W_2, R_2) → c_5
94. Rotate(U_2, 45°, S_2) → Z_2
95. CircleArc(S_2, U_2, Z_2) → d_5
96. Segment(Z_2, S_2) → e_5