Points on Kiepert Hyperbola

GeoGebra Commands & Parameters

1. Line(A, B) → f
2. Line(B, C_1) → g
3. Line(C_1, A) → h
4. Rotate(h, (-α), C_1) → h'
5. Rotate(h, α, A) → h'_1
6. Intersect(h', h'_1) → Y
7. Rotate(g, α, C_1) → g'
8. Rotate(g, (-α), B) → g'_1
9. Intersect(g', g'_1) → X
10. Rotate(f, α, B) → f'
11. Rotate(f, (-α), A) → f'_1
12. Intersect(f', f'_1) → Z
13. Segment(B, Z) → i
14. Segment(Z, A) → j
15. Segment(A, Y) → k
16. Segment(Y, C_1) → l
17. Segment(C_1, X) → m
18. Segment(X, B) → n
19. Angle(A, B, Z) → β
20. Angle(Z, A, B) → γ
21. Angle(C_1, A, Y) → δ
22. Angle(Y, C_1, A) → ε
23. Angle(X, B, C_1) → ζ
24. Angle(B, C_1, X) → η
25. Line(Z, C_1) → p
26. Line(X, A) → q
27. Line(B, Y) → r
28. Intersect(p, q) → G
29. Polygon(Z, Y, X) → poly1, D, z_1, E
30. Locus(G, α) → loc1
31. Polygon(A, B, C_1) → poly2, c, a, b
32. OrthogonalLine(A, g) → s
33. OrthogonalLine(B, h) → t
34. Intersect(t, s) → H
35. Polygon(C_1, B, 3) → poly3, d, e, f_1, F
36. Polygon(B, A, 3) → poly4, g_1, h_1, i_1, I
37. Line(I, C_1) → j_1
38. Line(A, F) → k_1
39. Intersect(j_1, k_1) → J
40. Polygon(B, C_1, 3) → poly5, l_1, m_1, n_1, K
41. Polygon(A, B, 3) → poly6, p_1, q_1, r_1, L
42. Line(A, K) → s_1
43. Line(C_1, L) → t_1
44. Intersect(s_1, t_1) → M
45. Segment(M, J) → a_1
46. Midpoint(a_1) → K_1