Napoleon-Dreieck：椭圆与三角形的几何构造

GeoGebra 命令及参数

1. Polygon(B, A, C) → V0, c, a, b
2. Angle(B, A, C) → a1
3. Angle(C, B, A) → a2
4. Angle(A, C, B) → a3
5. If(iw ≟ 180°, Polygon[B, A, 3], Polygon[A, B, 3]) → V1
6. If(iw ≟ 180°, Polygon[A, C, 3], Polygon[C, A, 3]) → V2
7. If(iw ≟ 180°, Polygon[C, B, 3], Polygon[B, C, 3]) → V3
8. Centroid(V1) → D
9. Centroid(V2) → E
10. Centroid(V3) → F
11. Polygon(E, D, F) → d1, f, e, d
12. Circle(F, C) → g
13. Circle(C, B) → h
14. Intersect(h, g) → G, H, ,
15. Circle(D, A) → k
16. Circle(B, A) → p
17. Intersect(p, k) → I, J, ,
18. Circle(E, A) → q
19. Circle(A, C) → r
20. Intersect(r, q) → K, L, ,
21. Angle(B, H, C) → α
22. Angle(H, C, B) → β
23. Angle(C, B, H) → γ
24. Angle(B, A, J) → δ
25. Angle(A, J, B) → ε
26. Angle(J, B, A) → ζ
27. Angle(L, A, C) → η
28. Angle(A, C, L) → θ
29. Angle(C, L, A) → ι
30. Angle(B, C, G) → κ
31. Angle(G, B, C) → λ
32. Angle(C, G, B) → μ
33. Angle(C, A, K) → ν
34. Angle(K, C, A) → ξ
35. Angle(A, K, C) → ο
36. Angle(A, B, J) → ρ
37. Angle(J, A, B) → σ
38. Angle(B, J, A) → τ
39. Angle(E, F, D) → υ
40. Angle(F, D, E) → ϕ
41. Angle(D, E, F) → χ
42. Angle(E, D, F) → ψ
43. Angle(D, F, E) → ω
44. Angle(F, E, D) → α_1