费尔巴赫双曲线 by Steve Phelps

GeoGebra 命令及参数

1. Line(A, B) → a
2. Line(B, C) → b
3. Line(C, A) → c
4. Circle(A, B, C) → d
5. Center(d) → O
6. Centroid(Polygon[A, B, C]) → G
7. Mirror(G, c) → G'
8. Mirror(G, a) → G'_1
9. Mirror(G, b) → G'_2
10. LineBisector(G'_1, G') → e
11. LineBisector(G', G'_2) → f
12. Polygon(A, B, C) → poly1, c_1, a_1, b_1
13. OrthogonalLine(A, b) → j
14. OrthogonalLine(B, c) → k
15. OrthogonalLine(C, a) → l
16. Intersect(l, j) → H
17. AngularBisector(B, A, C) → g
18. AngularBisector(C, B, A) → h
19. Intersect(g, h) → I
20. Line(I, O) → i
21. Point(i) → P
22. Mirror(P, c) → P'_3
23. Mirror(P, a) → P'_1
24. Mirror(P, b) → P'_2
25. LineBisector(P'_1, P'_3) → m
26. LineBisector(P'_3, P'_2) → n
27. Intersect(m, n) → P'
28. Locus(P', P) → loc1
29. Midpoint(B, C) → D
30. Midpoint(C, A) → E
31. Midpoint(A, B) → F_1
32. Circle(F_1, E, D) → p
33. OrthogonalLine(I, b) → q
34. Intersect(b, q) → J
35. Circle(I, J) → r
36. Intersect(p, r, 1) → F