Angle Bisector and Perpendicular Bisector Construction

GeoGebra Commands & Parameters

1. LineBisector(A, B) → l_4
2. Segment(A, B) → f
3. Rotate(B, gam, A) → B'
4. Line(A, B') → m_4
5. OrthogonalLine(A, m_4) → n_4
6. Intersect(l_4, n_4) → Q
7. Mirror(Q, f) → Q'
8. CircleArc(Q', B, A) → c_4
9. Circle((A + B) / 2, B) → c
10. Point(c_4) → C
11. Line(C, yAxis) → g
12. Line(G, F) → h
13. Intersect(g, h) → E_1
14. Line(A, B) → i
15. Intersect(i, g) → G_1
16. Polygon(G, E_1, G_1, A) → ct1, d, e, g_1, a_1
17. Polygon(E_1, F, B, G_1) → ct2, e_1, f_1, b_1, g_2
18. Segment(A, G) → j
19. Segment(B, F) → k
20. Line(A, C) → l
21. Line(C, B) → m
22. OrthogonalLine(C, l) → n
23. OrthogonalLine(A, l) → p
24. OrthogonalLine(C, m) → q
25. OrthogonalLine(B, m) → r
26. Polygon(A, C, 4) → mnohoúhelník1, h_1, i_1, j_1, k_1, D, E
27. Line(E, D) → l_1
28. OrthogonalLine(B, l) → s
29. OrthogonalLine(A, m) → t
30. Intersect(s, l) → H
31. Intersect(m, t) → I
32. Intersect(l_1, s) → L
33. Polygon(A, H, L, E) → ct3, a_2, h_2, l_2, k_2
34. Polygon(H, C, D, L) → ct4, h_3, c_1, j_2, l_3
35. Polygon(C, B, 4) → mnohoúhelník2, m_1, n_1, p_1, q_1, M, N
36. Line(N, M) → r_1
37. Intersect(t, r_1) → O
38. Polygon(I, B, M, O) → ct5, i_2, b_2, m_2, o
39. Polygon(C, I, O, N) → ct6, c_2, i_3, o_1, n_2
40. Segment(A, H) → s_1
41. Segment(H, C) → t_1
42. Segment(C, D) → d_1
43. Segment(D, L) → f_2
44. Segment(L, E) → p_2
45. Segment(E, A) → q_2
46. Segment(L, H) → r_2
47. Segment(G_1, E_1) → s_2
48. Segment(G, E_1) → t_2
49. Segment(E_1, F) → d_2
50. Segment(C, I) → e_2
51. Segment(I, B) → f_3
52. Segment(B, M) → g_3
53. Segment(M, O) → j_3
54. Segment(O, I) → k_3
55. Segment(N, O) → m_3
56. Segment(N, C) → n_3
57. Segment(G_1, A) → p_3
58. Segment(C, G_1) → q_3
59. Segment(H, B) → r_3
60. Segment(A, I) → s_3
61. Angle(A, C, B) → α
62. Polygon(A, B, C) → t1, c_3, a_3, b_3
63. PointIn(ct1) → Bodct1
64. PointIn(ct6) → Bodct6_1
65. PointIn(ct6) → Bodct6
66. Segment(G, F) → t_3
67. Segment(E, D) → d_3
68. Segment(N, M) → e_3
69. Segment(E, B) → f_4
70. Segment(C, G) → g_4
71. Segment(D, B) → h_4
72. Segment(Bodct6, A) → i_4
73. Segment(A, M) → j_4
74. Segment(C, F) → k_4
75. Midpoint(Bodct6, B) → K
76. Midpoint(L, A) → P
77. Angle(B, A, B') → β
78. Polygon(B, A, 4) → mnohoúhelník3, p_4, q_4, r_4, s_4, R, S
79. Polygon(C, B, 4) → mnohoúhelník4, t_4, a_4, b_4, d_4, T, U
80. Polygon(A, C, 4) → mnohoúhelník5, e_4, f_5, g_5, h_5, V, W
81. Polygon(C, B, 4) → mnohoúhelník6, i_5, j_5, k_5, l_5, Z, A_1
82. Polygon(A, C, 4) → mnohoúhelník7, m_5, n_5, p_5, q_5, B_1, C_1