Gergonne点的等角共轭

GeoGebra 命令及参数

1. Line(A, B) → a
2. Line(B, C) → b
3. Line(C, A) → c
4. AngularBisector(B, A, C) → d
5. AngularBisector(C, B, A) → e
6. AngularBisector(A, C, B) → f
7. Intersect(d, e) → I
8. OrthogonalLine(I, c) → g
9. Intersect(c, g) → D
10. Circle(I, D) → h
11. Intersect(h, a) → E, C'
12. Intersect(h, c) → F, B'
13. Intersect(h, b) → H, A'
14. Segment(E, C) → i
15. Segment(A, H) → j
16. Segment(B, F) → k
17. Intersect(i, j) → G_e
18. Polygon(A', C', B') → poly1, g_1, j_1, k_1
19. Circle(B, A, C) → p
20. Center(p) → O
21. Mirror(G_e, c) → G'_{e2}
22. Mirror(G_e, a) → G'_{e1}
23. Mirror(G_e, b) → G'_{e3}
24. Circle(G'_{e2}, G'_{e1}, G'_{e3}) → q
25. Center(q) → G'_e
26. Dilate(p, l, G'_e) → p'