Angle Bisector Construction Demo

GeoGebra Commands & Parameters

1. Ray(A, B) → f
2. Rotate(B, (a * π / 180), A) → B'
3. Angle(B, A, B') → α
4. Ray(A, B') → g
5. Circle(A, b) → c
6. Rotate(B, (a / 2 * π / 180), A) → B'_1
7. Angle(B, A, B'_1) → β
8. Ray(A, B'_1) → h
9. Intersect(c, f, 1) → C
10. Intersect(c, g) → D,
11. OrthogonalLine(C, h) → i
12. Intersect(i, h) → E
13. Distance(C, E) → d
14. Circle(C, e) → k
15. Circle(D, e) → p
16. Intersect(k, p, 2) → F
17. Rotate(C, If[1 < j ≤ 2, (((j - 1) * 2) * π), (2 * π)], A) → C'
18. CircleArc(A, C, C') → q
19. Intersect(k, f, 1) → G
20. Dilate(A, If[0 < j ≤ 1, 1 - j, 0], C) → A'
21. Segment(A, A') → l
22. Dilate(C, If[2 < j ≤ 3, 3 - j, 0], G) → C'_1
23. Segment(C, C'_1) → m
24. Rotate(G, If[3 < j ≤ 4, (((j - 3) * 2) * π), (2 * π)], C) → G'
25. CircleArc(C, G, G') → r
26. Dilate(C, If[4 < j ≤ 5, 5 - j, 0], D) → C'_2
27. Vector(C, C'_2) → u
28. Translate(C, u) → C'_3
29. Translate(C'_1, u) → H
30. Segment(C'_3, H) → m'
31. Rotate(H, If[5 < j ≤ 6, (((j - 5) * 2) * π), (2 * π)], D) → H'
32. CircleArc(D, H, H') → s
33. Angle(H, D, F) → γ
34. Angle(H, D, H') → δ
35. Circle(F, 2) → t
36. Intersect(t, h, 2) → I
37. Circle(A, (0.3 * b)) → c_1
38. Intersect(c_1, h, 1) → J
39. Intersect(f, l) → K
40. Intersect(c_1, f) → L,
41. CircleSector(A, L, J) → d_1
42. Ray(F, I) → n
43. Dilate(A, If[6 < j ≤ 7, 7 - j, 0], F) → A'_1
44. Segment(A, A'_1) → f_1
45. Rotate(L, If[7 < j ≤ 8, (((j - 7) * a / 2) * π / 180), (a / 2 * π / 180)], A) → L'
46. CircleSector(A, L, L') → e_1
47. Rotate(e_1, If[9 < j ≤ 10, (((j - 9) * a / 2) * π / 180), (a / 2 * π / 180)], A) → g_1