错误证明：所有三角形都是等边三角形

GeoGebra 命令及参数

1. Line(A, B) → a
2. Line(A, C) → b
3. Line(C, B) → c
4. Midpoint(C, B) → M
5. LineBisector(B, C) → d
6. AngularBisector(C, A, B) → e
7. Polygon(B, A, C) → poly1, c_1, b_1, a_1
8. Intersect(d, e) → X
9. Segment(C, X) → f
10. Segment(B, X) → g
11. OrthogonalLine(X, a) → h
12. Intersect(a, h) → B_1
13. Segment(B_1, X) → i
14. OrthogonalLine(X, b) → j
15. Intersect(b, j) → C_1
16. Segment(C_1, X) → k
17. Angle(k, b) → α
18. Angle(a, i) → β
19. Polygon(B, X, B_1) → poly2, b_2, b_3, D
20. Polygon(C_1, C, X) → poly3, E, c_2, c_3
21. Intersect(α, c, 1) → F
22. Polygon(A, X, B_1) → poly4, b_4, a_2, G
23. Polygon(A, C, X) → poly5, H, a_3, c_4
24. Segment(A, X) → l
25. Polygon(A, C_1, X) → poly6, I, a_4, c_5
26. Segment(A, B) → m
27. Segment(A, C) → n
28. Segment(A, X) → p