垂心三角形与外接圆：半径垂直于垂心三角形边

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → B
2. Point(xAxis) → C
3. Polygon(A, B, C) → t1, c, a, b
4. OrthogonalLine(B, b) → f
5. OrthogonalLine(C, c) → g
6. OrthogonalLine(A, a) → h
7. Intersect(f, g) → H
8. Intersect(h, a) → D
9. Intersect(b, f) → E
10. Intersect(c, g) → F
11. Polygon(D, F, E) → t2, m, n, p
12. Circle(B, C, A) → ω
13. Intersect(ω, f, 2) → E'
14. Intersect(ω, g, 2) → F'
15. Intersect(ω, h, 2) → D'
16. Center(ω) → O
17. Segment(A, O) → i
18. Segment(F', E') → j
19. Angle(A, D, F) → β
20. Angle(E, D, A) → γ
21. Angle(E', D', A) → δ
22. Angle(A, D', F') → ε
23. Segment(D', F') → k
24. Segment(E', D') → l
25. Segment(O, C) → q
26. Segment(B, O) → r
27. Intersect(i, n) → G
28. Intersect(r, m) → I
29. Intersect(q, p) → J
30. Angle(A, G, F) → α
31. Angle(B, I, D) → ζ
32. Angle(C, J, E) → η
33. Segment(O, G) → s
34. Segment(O, I) → t_{1}
35. Segment(O, J) → d
36. Angle(F', E', B) → θ
37. Angle(F, E, B) → ι
38. Angle(B, E, D) → κ
39. Angle(B, E', D') → λ
40. Angle(D', F', C) → μ
41. Angle(D, F, C) → ν
42. Angle(C, F, E) → ξ
43. Angle(C, F', E') → ο
44. Segment(B, E) → hB
45. Segment(E, E') → h'B
46. Segment(C, F) → hC
47. Segment(F, F') → h'C
48. Segment(A, D) → hA
49. Segment(D, D') → h'A