三角形内角和（改进版）

GeoGebra 命令及参数

1. Point(Ray[A, A + (1, 0)]) → B
2. Rotate(B, (a * π / 180), A) → B'
3. Ray(A, B') → f
4. Point(f) → C
5. Polygon(A, B, C) → t1, c, a_1, b
6. Segment(A, B) → g
7. Segment(B, C) → h
8. Segment(C, A) → i
9. Min({g, h, i}) → d
10. Circle(B, (0.3 * d)) → k
11. Circle(C, (0.3 * d)) → p
12. Circle(A, (0.3 * d)) → e
13. Intersect(e, g, 1) → E
14. Intersect(e, i, 1) → F
15. Intersect(p, i, 1) → G
16. Intersect(p, h, 1) → H
17. Intersect(k, g, 1) → I
18. Intersect(k, h, 1) → J
19. Circle(N, Radius[e]) → s
20. Point(s) → O
21. Rotate(O, (a * π / 180), N) → O'
22. CircleSector(N, O, O') → d_1
23. InteriorAngles(t1) → α, β, γ
24. Circle(P, Radius[e]) → r
25. Point(r) → D
26. Rotate(D, (-β), P) → D'
27. CircleSector(P, D', D) → e_1
28. CircleSector(C, G, H) → c_1
29. Circle(K, Radius[e]) → q
30. Line(C, B) → j
31. Line(K, j) → l
32. Intersect(q, l, 2) → M
33. Rotate(M, (-γ), K) → M'
34. CircleSector(K, M', M) → f_1
35. Angle(B, A, C) → δ
36. Segment(C, A) → m
37. Segment(C, B) → n
38. Circle(C, Radius[e]) → g_1
39. Intersect(g_1, m, 1) → L
40. Intersect(g_1, n, 1) → Q
41. CircleSector(C, L, Q) → h_1
42. CurveCartesian(x(A) + (Radius[e] * cos(t)), y(A) + (Radius[e] * sin(t)), t, 0, α) → o
43. Rotate(R, α, A) → R'
44. Segment(E, I) → i_1
45. Circle(P, (0.3 * d)) → t
46. CurveCartesian(x(B) + (Radius[e] * cos(t)), y(B) + (Radius[e] * sin(t)), t, π - β, π) → u
47. Segment(G, F) → k_1
48. Segment(J, H) → l_1
49. Angle(U, C, G, xOyPlane) → ε
50. Point(q) → V
51. CurveCartesian(x(C) + (Radius[e] * cos(t)), y(C) + (Radius[e] * sin(t)), t, ε, ε + γ) → w
52. Line(K, k_1) → m_1
53. Point(m_1) → W
54. Angle(W, K, V) → ζ
55. Dilate(C, If[0 < v ≤ 1, 1 - v, 0], K) → C'
56. Vector(C, C') → u_1
57. Translate(h_1, u_1) → q_1
58. Rotate(q_1, If[0 < v ≤ 1, (v * ζ), ζ], C') → r_1