平行四边形上的Napoleon三角形

GeoGebra 命令及参数

1. Segment(A, B) → a
2. Line(C, a) → b
3. Circle(C, Segment[A, B]) → c
4. Intersect(c, b) → D, E
5. Segment(C, E) → d
6. Segment(A, C) → e
7. Segment(E, B) → f
8. OrthogonalLine(A, a) → g
9. OrthogonalLine(B, a) → h
10. Circle(A, Segment[A, B]) → k
11. Circle(B, Segment[A, B]) → p
12. Intersect(k, g) → F, G
13. Intersect(p, h, 2.0) → H
14. Segment(G, H) → i
15. Segment(G, A) → j
16. Segment(H, B) → l
17. Segment(A, H) → m
18. Segment(G, B) → n
19. Intersect(m, n) → I
20. OrthogonalLine(B, f) → q
21. OrthogonalLine(E, f) → r
22. Circle(B, f) → s
23. Circle(E, f) → t
24. Intersect(s, q, 1.0) → J
25. Intersect(t, r, 1.0) → K
26. Segment(J, K) → a_1
27. Segment(B, J) → b_1
28. Segment(E, K) → c_1
29. OrthogonalLine(C, e) → d_1
30. OrthogonalLine(A, e) → e_1
31. Circle(A, C) → f_1
32. Circle(C, A) → g_1
33. Intersect(g_1, d_1, 1.0) → L
34. Intersect(f_1, e_1, 1.0) → M
35. Segment(L, M) → h_1
36. Segment(M, A) → i_1
37. Segment(L, C) → j_1
38. OrthogonalLine(C, d) → k_1
39. OrthogonalLine(E, d) → l_1
40. Circle(C, E) → p_1
41. Circle(E, C) → q_1
42. Intersect(p_1, k_1, 1.0) → N
43. Intersect(q_1, l_1) → O, P
44. Segment(N, O) → m_1
45. Segment(C, N) → n_1
46. Segment(E, O) → r_1
47. Midpoint(L, A) → Q
48. Midpoint(B, K) → R
49. Midpoint(C, O) → S
50. Segment(Q, I) → s_1
51. Segment(I, R) → t_1
52. Segment(R, S) → a_2
53. Segment(S, Q) → b_2