多边形外角探究 by Tim Brzezinski

GeoGebra 命令及参数

1. Ray(A, B) → f
2. Ray(B, C) → g
3. Ray(C, A) → h
4. Polygon(A, B, C) → t1, c, a, b
5. Min({a, b, c}) → d
6. Circle(C, (0.25 * d)) → e
7. Circle(A, (0.25 * d)) → k
8. Circle(B, (0.25 * d)) → p
9. Intersect(e, g, 2) → E
10. Intersect(e, h, 1) → F
11. Intersect(k, h, 2) → G
12. Intersect(k, f, 1) → H
13. Intersect(p, f, 2) → I
14. Intersect(p, g, 1) → J
15. CircleSector(C, E, F) → q
16. CircleSector(A, G, H) → r
17. CircleSector(B, I, J) → s
18. Dilate(A, If[0 < u ≤ 1, 1 - u, 0], D) → A'
19. Dilate(B, If[0 < u ≤ 1, 1 - u, 0], D) → B'
20. Dilate(C, If[0 < u ≤ 1, 1 - u, 0], D) → C'
21. Vector(C, C') → v
22. Vector(A, A') → w
23. Vector(B, B') → i
24. Translate(q, v) → q'
25. Translate(r, w) → r'
26. Translate(s, i) → s'
27. CircleSector(C, F, E) → t
28. CircleSector(A, H, G) → c_1
29. CircleSector(B, J, I) → d_1
30. Angle(A, C, B) → α
31. Translate(c_1, w) → e_1
32. Translate(t, v) → t'
33. Translate(d_1, i) → f_1
34. Translate(B, i) → B'_1
35. Translate(C, i) → C'_1
36. Ray(B'_1, C'_1) → g'
37. Translate(C, v) → C'_2
38. Translate(A, v) → A'_1
39. Ray(C'_2, A'_1) → h'
40. Translate(A, w) → A'_2
41. Translate(B, w) → B'_2
42. Ray(A'_2, B'_2) → f'
43. Polygon(A'_2, B'_1, C'_2) → t2, c'_2, a'_2, b'_1