以外心为圆心的圆的直极点轨迹

GeoGebra 命令及参数

1. TriangleCenter(A, B, C, 3) → O
2. Line(A, B) → f
3. Line(B, C) → g
4. Line(C, A) → h
5. Circle(B, C, A) → c
6. Point(c) → D
7. Tangent(D, c) → i,
8. OrthogonalLine(A, i) → j
9. OrthogonalLine(C, i) → k
10. OrthogonalLine(B, i) → l
11. Intersect(i, l) → E
12. Intersect(i, j) → F
13. Intersect(i, k) → G_1
14. OrthogonalLine(E, h) → m
15. OrthogonalLine(F, g) → p
16. OrthogonalLine(G_1, f) → n
17. Intersect(m, p) → H_1
18. TriangleCenter(A, B, C, 4) → H
19. TriangleCenter(A, B, C, 1) → I
20. TriangleCenter(A, B, C, 5) → N
21. OrthogonalLine(P, g) → q_1
22. Intersect(g, q_1) → W
23. Circle(P, Distance[W, N]) → d
24. Point(d) → K
25. Tangent(K, d) → q, n_1
26. OrthogonalLine(A, q) → r
27. OrthogonalLine(C, q) → s
28. OrthogonalLine(B, q) → t
29. Intersect(r, q) → L
30. Intersect(q, s) → M
31. Intersect(t, q) → N_1
32. OrthogonalLine(L, g) → b
33. OrthogonalLine(M, f) → e
34. OrthogonalLine(N_1, h) → f_1
35. Intersect(e, f_1) → O_1
36. TriangleCenter(A, B, C, 2) → G
37. Locus(O_1, K) → loc1
38. Locus(H_1, D) → loc2
39. Point(c) → J
40. Line(P, J) → g_1
41. OrthogonalLine(A, g_1) → h_1
42. OrthogonalLine(B, g_1) → i_1
43. Intersect(g_1, h_1) → R
44. Intersect(g_1, i_1) → S
45. OrthogonalLine(S, h) → k_1
46. OrthogonalLine(R, g) → m_1
47. OrthogonalLine(C, g_1) → j_1
48. Intersect(g_1, j_1) → Q
49. OrthogonalLine(Q, f) → l_1
50. Intersect(k_1, m_1) → T
51. OrthogonalLine(P, f) → p_1
52. OrthogonalLine(P, h) → r_1
53. Intersect(f, p_1) → U
54. Intersect(r_1, h) → V
55. Circle(U, W, V) → c_1
56. LineBisector(U, W) → s_1
57. LineBisector(U, V) → t_1
58. Distance(W, N) → distanceWN
59. Intersect(c_1, g, 2) → A_1
60. Intersect(c_1, h, 2) → B_1
61. Intersect(c_1, f, 2) → C_1
62. OrthogonalLine(C_1, f) → a_1
63. OrthogonalLine(A_1, g) → b_1
64. OrthogonalLine(B_1, h) → d_1
65. Intersect(a_1, d_1) → D_1