共点线与几何中心

GeoGebra 命令及参数

1. Segment(A, B) → a
2. Segment(B, C) → b
3. Segment(C, A) → c
4. OrthogonalLine(A, b) → d
5. OrthogonalLine(C, a) → e
6. OrthogonalLine(B, c) → f
7. Intersect(e, f) → Orthocenter
8. LineBisector(a) → g
9. LineBisector(b) → h
10. Intersect(g, h) → Circumcenter
11. AngularBisector(A, B, C) → j
12. AngularBisector(C, A, B) → l
13. Intersect(j, l) → Incenter
14. Midpoint(a) → Z
15. Midpoint(b) → Y
16. Segment(A, Y) → l_1
17. Segment(Z, C) → m
18. Intersect(l_1, m) → Centroid
19. Circle(Circumcenter, A) → p
20. Intersect(l, b) → W
21. LineBisector(c) → i
22. AngularBisector(B, C, A) → k
23. Midpoint(c) → X
24. Segment(X, B) → a_1
25. Angle(a, e) → α
26. Angle(c, f) → β
27. Angle(b, d) → γ
28. Intersect(g, a) → D
29. Intersect(i, c) → E
30. Intersect(h, b) → F
31. Segment(D, A) → b_1
32. Segment(D, B) → c_1
33. Segment(B, F) → d_1
34. Segment(F, C) → e_1
35. Segment(C, E) → f_1
36. Segment(E, A) → g_1
37. Angle(a, g) → δ
38. Angle(b, h) → ε
39. Angle(g_1, i) → ζ
40. Intersect(a, k) → G
41. Intersect(l, b) → H
42. Intersect(j, c) → I
43. OrthogonalLine(Incenter, a) → k_1
44. Intersect(k_1, a) → J
45. OrthogonalLine(Incenter, c) → m_1
46. Intersect(m_1, c) → K
47. OrthogonalLine(Incenter, b) → n_1
48. Intersect(n_1, b) → L
49. Segment(Incenter, J) → h_1
50. Segment(Incenter, K) → i_1
51. Segment(Incenter, L) → j_1
52. Circle(Incenter, J) → q
53. Angle(A, J, Incenter) → η
54. Angle(Incenter, L, C) → θ
55. Angle(A, K, Incenter) → ι
56. Segment(Circumcenter, B) → p_1
57. Segment(Circumcenter, C) → q_1
58. Segment(Circumcenter, A) → r_1
59. Angle(Incenter, B, A) → κ
60. Angle(C, B, Incenter) → λ
61. Angle(A, C, Incenter) → μ
62. Angle(Incenter, C, B) → ν
63. Angle(B, A, Incenter) → ξ
64. Angle(Incenter, A, C) → ο