利用矩形双曲线进行阿波罗尼奥斯三等分角

GeoGebra 命令及参数

1. Rotate(A, α, O) → B
2. Line(O, A) → f
3. Line(O, B) → g
4. Circle(O, A) → d
5. Intersect(d, f, 2) → C
6. Midpoint(O, C) → D
7. Circle(O, D) → e
8. Intersect(e, g) → E, F
9. Line(D, E) → h
10. Line(D, F) → i
11. Point(i) → G
12. Length(Segment[D, G]) → k_1
13. Circle(D, k_2) → c
14. Intersect(c, h) → H, I
15. Circle(D, G) → p
16. Intersect(p, i, 2) → J
17. Midpoint(Segment[G, I]) → K
18. Midpoint(Segment[J, H]) → L
19. Locus(K, G) → loc1
20. Locus(L, G) → loc2
21. Rotate(A, β, C) → A'
22. Line(C, A') → j
23. Intersect(d, j, 2) → M
24. Line(M, g) → l
25. Intersect(f, l) → N