Properties of a Square by David T

GeoGebra Commands & Parameters

1. Circle(A, B) → p
2. Line(A, B) → e_1
3. OrthogonalLine(A, e_1) → i
4. Segment(A, B) → d_1
5. Intersect(p, i) → D, C
6. Polygon(A, D, B) → P, a, b, d
7. Midpoint(D, B) → E
8. Rotate(A, (-rotateΔ), E) → A'
9. Rotate(D, (-rotateΔ), E) → D'
10. Rotate(B, (-rotateΔ), E) → B'
11. Polygon(A', D', B') → P', c, e, f
12. OrthogonalLine(B, e_1) → f_3
13. Intersect(f_3, e_1) → F
14. Midpoint(B', A') → G
15. If(rotateΔ > 0°, G) → K
16. Midpoint(d_1) → M
17. Angle(B', A', D') → γ
18. Angle(B, A, D) → δ
19. Angle(D, B, A) → ζ
20. Angle(D', B', A') → α
21. Angle(A, D, B) → β
22. Angle(A', D', B') → ε
23. Segment(D', A') → c_1
24. Segment(A, D) → a_1
25. Segment(B', A') → f_1
26. Segment(A, D) → a_2
27. Segment(D', A') → c_2
28. Segment(B', A') → f_2
29. Segment(A, B) → d_2
30. Segment(D, E) → g
31. Segment(B, E) → g_1
32. Segment(A, E) → h
33. Segment(A', E) → h_1
34. Angle(E, A, D) → η
35. Angle(B, A, E) → θ
36. Angle(D, A', E) → ι
37. Angle(E, A', B) → κ
38. Angle(A, D, A') → λ
39. Angle(A', B, A) → μ
40. Line(E, e_1) → j
41. Line(E, f_3) → k
42. Point(j) → L
43. Point(j) → N
44. Point(k) → O
45. Point(k) → Q
46. Segment(O, Q) → l
47. Segment(L, N) → m
48. Intersect(p, i, 2) → I
49. Line(A, E) → q
50. Point(q) → H
51. Point(q) → J
52. Segment(H, J) → s
53. Polygon(A, D, A', B) → P'', a_3, d_3, a', b_1
54. Rotate(A, turn, E) → A'_1
55. Rotate(D, turn, E) → D'_1
56. Rotate(A', turn, E) → A''
57. Rotate(B, turn, E) → B'_1
58. Rotate(A, (-turn), E) → A'_2
59. Rotate(D, (-turn), E) → D'_2
60. Rotate(A', (-turn), E) → A''_1
61. Rotate(B, (-turn), E) → B'_2
62. Polygon(A'_2, D'_2, A''_1, B'_2) → P''', a'_2, d'_2, a''_1, b'_2
63. Angle(D, E, A) → ν
64. Line(E, D) → n
65. Point(n) → R
66. Point(n) → S
67. Segment(R, S) → r
68. Polygon(A, D, A', B) → polyfold, a_4, d_4, a'_1, b_2
69. LineBisector(drag, A') → t
70. Intersect(t, f) → U
71. Intersect(c, a'_1) → V
72. Intersect(t, c) → W
73. Polygon(U, drag, W) → poly1, w, u, t_1
74. Intersect(t, a) → Z
75. OrthogonalLine(drag, u) → i_1
76. Line(Z, u) → j_1
77. Intersect(i_1, j_1) → A_1
78. Polygon(W, drag, A_1, Z) → poly2, w_1, t_2, a_5, z
79. OrthogonalLine(drag, w) → k_1
80. Intersect(t, d) → B_1
81. Line(B_1, w) → l_1
82. Intersect(k_1, l_1) → C_1
83. Polygon(U, drag, C_1, B_1) → poly3, u_1, t_3, c_3, b_3
84. LineBisector(peel, B) → m_1
85. Intersect(m_1, c) → D_1
86. Intersect(m_1, d) → E_1
87. Polygon(peel, E_1, D_1) → poly4, d_5, t_4, e_2
88. Intersect(f, d_4) → F_1
89. Intersect(m_1, f) → G_1
90. OrthogonalLine(peel, d_5) → n_1
91. Line(G_1, d_5) → p_1
92. Intersect(n_1, p_1) → H_1
93. Polygon(peel, E_1, G_1, H_1) → poly5, t_5, e_3, g_2, h_2
94. Intersect(m_1, a) → I_1
95. OrthogonalLine(peel, e_2) → q_1
96. Line(I_1, e_2) → r_1
97. Intersect(r_1, q_1) → J_1
98. Polygon(peel, D_1, I_1, J_1) → poly6, t_6, d_6, i_2, j_2