Feuerbach Circle

GeoGebra Commands & Parameters

1. Segment(B, C) → a
2. Segment(C, A) → b
3. Segment(A, B) → c
4. OrthogonalLine(C, c) → f
5. OrthogonalLine(A, a) → g
6. OrthogonalLine(B, b) → h
7. Intersect(h, b) → E
8. Intersect(f, c) → F
9. Intersect(g, a) → D
10. Segment(C, F) → i
11. Segment(A, D) → j
12. Segment(E, B) → k
13. Angle(B, F, C) → α
14. Angle(C, D, A) → β
15. Angle(A, E, B) → γ
16. Intersect(i, j) → V
17. Midpoint(C, V) → Q
18. Midpoint(A, V) → R
19. Midpoint(B, V) → P
20. Midpoint(A, B) → C'
21. Midpoint(B, C) → A'
22. Midpoint(A, C) → B'
23. Segment(Q, P) → l
24. Segment(Q, B') → m
25. Segment(P, C') → n
26. Segment(C', B') → p
27. Angle(P, C', B') → δ
28. Angle(C', B', Q) → ε
29. Angle(B', Q, P) → ζ
30. Angle(Q, P, C') → η
31. Segment(Q, C') → q
32. Segment(B', P) → r
33. Intersect(q, r) → S
34. Circle(S, Q) → d
35. LineBisector(A, B) → s
36. LineBisector(A, C) → t
37. LineBisector(B, C) → e
38. Intersect(s, t) → G
39. Segment(G, V) → f_1
40. Segment(A', Q) → g_1
41. Segment(Q, R) → h_1
42. Segment(R, C') → i_1
43. Segment(C', A') → j_1
44. Angle(Q, A', C') → θ
45. Angle(C', R, Q) → ι
46. Segment(R, A') → k_1