Golden Rectangle and Ratio

GeoGebra Commands & Parameters

1. Segment(B, A) → f
2. OrthogonalLine(A, f) → g
3. Circle(A, a) → c
4. Intersect(c, g, 2) → D
5. OrthogonalLine(D, g) → h
6. OrthogonalLine(B, h) → i
7. Intersect(h, i) → C
8. Segment(C, B) → j
9. Segment(A, D) → k
10. Segment(D, C) → l
11. Rotate(C, ((-π)) / 2, B) → F
12. OrthogonalLine(F, f) → m
13. Intersect(m, l) → E
14. Segment(E, F) → n
15. Segment(C, E) → p
16. Segment(E, F) → q
17. Segment(F, B) → r
18. Segment(B, C) → s
19. Segment(D, A) → t
20. Vector(C, B) → u
21. Vector(B, A) → w
22. Segment(K, J) → f_1
23. Translate(H, w) → H'
24. Translate(K, w) → K'
25. Translate(J, w) → J'
26. Segment(K', J') → g_1
27. Segment(H, H') → h_1
28. Segment(M, L) → i_1
29. Translate(I, Vector[(-u)]) → I'
30. Translate(M, Vector[(-u)]) → M'
31. Translate(L, Vector[(-u)]) → L'
32. Segment(M', L') → j_1
33. Segment(I, I') → k_1
34. Midpoint(h_1) → N
35. Midpoint(k_1) → O
36. Angle(B, C, D) → α
37. Angle(C, D, A) → β
38. Angle(D, A, B) → γ
39. Angle(A, B, C) → δ
40. Segment(D, E) → l_1
41. Midpoint(l_1) → P
42. Midpoint(p) → Q
43. Angle(F, E, D) → ε
44. Angle(A, F, E) → ζ
45. Polygon(F, B, C, E) → poly1, f_2, b_1, c_1, e_1
46. Polygon(A, F, E, D) → poly2, a_1, f_3, e_2, d_1
47. Segment(R, S) → m_1
48. Segment(T, U) → n_1
49. Polygon(A, D, C, B) → poly3, a_2, d, c_2, b_2