Proof Without Words by Steve Phelps (12)

GeoGebra Commands & Parameters

1. Point(xAxis) → A
2. Intersect(xAxis, yAxis) → B
3. Mirror(A, B) → A'
4. Segment(A, A') → h_1
5. OrthogonalLine(A', h_1) → j_1
6. Polygon(A', A, 4) → poly2, f, g, h, i, G, H
7. CircleArc(B, C, A) → c
8. Point(c) → D
9. Polygon(D, A', 4) → poly1, a, b, d, e, E, F
10. OrthogonalLine(E, j_1) → p_1
11. Intersect(j_1, p_1) → D_1
12. OrthogonalLine(F, h_1) → i_1
13. Intersect(i_1, p_1) → A_1
14. OrthogonalLine(D, i_1) → q_1
15. Intersect(j_1, q_1) → E_1
16. Intersect(i_1, q_1) → F_1
17. Polygon(F_1, A_1, D_1, E_1) → poly9, f_3, a_2, d_3, e_3
18. PointIn(poly9) → K
19. Vector(K, G) → v
20. OrthogonalLine(K, f) → n
21. Intersect(n, poly1) → N, O
22. OrthogonalLine(K, n) → p
23. Intersect(p, poly1) → L, M
24. Polygon(K, N, F, E, M) → poly4, k_1, n_1, f_1, e_1, m_1
25. Centroid(poly4) → P
26. Translate(P, v) → P'
27. Vector(P, P') → s_1
28. Translate(E, s_1) → E'_2
29. Polygon(A, D, 4) → poly3, j, k, l, m, I, J
30. Midpoint(I, A) → Z
31. Polygon(O, K, M, E, A') → poly7, o_1, k_4, m_2, e_2, a'_1
32. Centroid(poly7) → S
33. Vector(K, A) → u
34. Translate(S, u) → S'
35. Segment(S, S') → s
36. Point(s) → U
37. Vector(S, U) → v_1
38. Translate(A', v_1) → A''
39. Vector(A, E'_2) → r_1
40. Translate(Z, r_1) → Z'
41. Vector(K, H) → q
42. Vector(K, A') → w
43. Polygon(L, D, A', O, K) → poly6, l_2, d_2, a', o, k_3
44. Centroid(poly6) → R
45. Translate(R, w) → R'
46. Polygon(L, D, F, N, K) → poly5, l_1, d_1, f_2, n_2, k_2
47. Centroid(poly5) → Q
48. Translate(Q, q) → Q'
49. Polygon(S', R', Q', P') → poly8, s', r', q', p'
50. Centroid(poly8) → C_1
51. Segment(Q, Q') → r
52. Segment(R, R') → t
53. Segment(P, P') → a_1
54. Point(a_1) → T
55. Vector(P, T) → u_1
56. Point(t) → V
57. Vector(R, V) → w_1
58. Point(r) → W
59. Vector(Q, W) → b_1
60. Translate(L, b_1) → L'
61. Translate(D, b_1) → D'
62. Translate(F, b_1) → F'
63. Translate(N, b_1) → N'
64. Translate(K, b_1) → K'
65. Polygon(L', D', F', N', K') → poly5', l', d', f', n', k'
66. Translate(K, u_1) → K'_1
67. Translate(N, u_1) → N'_1
68. Translate(F, u_1) → F'_1
69. Translate(E, u_1) → E'
70. Translate(M, u_1) → M'
71. Polygon(K'_1, N'_1, F'_1, E', M') → poly4', k'_1, n'_1, f'_1, e', m'
72. Translate(O, v_1) → O'
73. Translate(K, v_1) → K'_2
74. Translate(M, v_1) → M'_1
75. Translate(E, v_1) → E'_1
76. Polygon(O', K'_2, M'_1, E'_1, A'') → poly7', o', k'_2, m'_1, e'_1, a''
77. Translate(L, w_1) → L'_1
78. Translate(D, w_1) → D'_1
79. Translate(A', w_1) → A''_1
80. Translate(O, w_1) → O'_1
81. Translate(K, w_1) → K'_3
82. Polygon(L'_1, D'_1, A''_1, O'_1, K'_3) → poly6', l'_1, d'_1, a''_1, o'_1, k'_3
83. Segment(Z, Z') → c_1
84. Point(c_1) → B_1
85. Vector(Z, B_1) → g_1
86. Translate(poly3, g_1) → poly3'