四点共圆的外接二次曲线

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. Centroid(Polygon[A, B, C]) → G
6. OrthogonalLine(A, b) → e
7. OrthogonalLine(B, c) → f
8. Intersect(e, f) → H
9. Center(d) → O
10. Polygon(A, B, C) → poly1, c_1, a_1, b_1
11. Mirror(G, b_1) → G'
12. Mirror(G, c_1) → G'_1
13. Mirror(G, a_1) → G'_2
14. LineBisector(G'_1, G') → h
15. LineBisector(G'_2, G') → i
16. Mirror(A, P) → A'
17. Mirror(B, P) → B'
18. Mirror(C, P) → C'
19. Conic(C', A, B', C, B) → g
20. Segment(C', C) → j
21. Segment(B', B) → k
22. Segment(A, A') → l
23. Circle(A, C', B') → p
24. Circle(B, C', A') → q
25. Circle(C, A', B') → r
26. Intersect(d, q, 2) → T
27. Circle(A, C, B') → s
28. Circle(A, B, C') → t
29. Circle(B, A', C) → d_1
30. Intersect(s, t, 2) → T'
31. Segment(T', T) → m
32. Polygon(A, B, C) → poly2, c_2, a_2, b_2