无穷远点的等腰共轭点与斯坦纳椭圆

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. Point(d) → P
6. Segment(P, A) → e
7. Segment(P, B) → f
8. Segment(P, C) → g
9. AngularBisector(B, A, C) → h
10. AngularBisector(B, C, A) → i
11. AngularBisector(A, B, C) → j
12. Mirror(P, h) → P'
13. Mirror(P, i) → P'_1
14. Mirror(P, j) → P'_2
15. Line(A, P') → k
16. Line(P'_1, C) → l
17. Line(P'_2, B) → m
18. Intersect(b, k) → D
19. Intersect(c, m) → E
20. Intersect(a, l) → F
21. Midpoint(A, B) → J
22. Midpoint(A, C) → H
23. Midpoint(C, B) → I
24. Mirror(E, H) → E'
25. Mirror(F, J) → F'
26. Mirror(D, I) → D'
27. Line(A, D') → n
28. Line(B, E') → p
29. Line(C, F') → q
30. Intersect(n, p) → S
31. Locus(S, P) → loc1
32. Point(loc1) → K
33. Point(loc1) → L
34. Point(loc1) → M
35. Point(loc1) → N
36. Conic(K, L, M, N, C) → r
37. Center(r) → G