球面内切圆与内切圆心

GeoGebra 命令及参数

1. Sphere((0, 0, 0), 1) → a
2. PointIn(a) → A
3. PointIn(a) → B
4. PointIn(a) → C
5. Plane(O, A, B) → b
6. Plane(B, O, C) → c
7. Plane(O, C, A) → d
8. IntersectPath(b, a) → e
9. IntersectPath(c, a) → f
10. IntersectPath(d, a) → g
11. Midpoint(B, C) → D
12. Midpoint(C, A) → E
13. Midpoint(A, B) → F
14. Line(O, A) → h
15. Line(O, B) → i
16. Line(O, C) → j
17. Plane(D, h) → k
18. Plane(F, j) → l
19. Plane(E, i) → m
20. IntersectPath(k, a) → p
21. IntersectPath(m, a) → q
22. IntersectPath(l, a) → r
23. Intersect
24. Intersect(f, p, 2) → G
25. Intersect
26. Intersect(q, g, 2) → H
27. Intersect
28. Intersect(e, r, 1) → I
29. Line(O, C) → n
30. Line(O, A) → s
31. Circle(n, G) → t
32. Circle(i, I) → c_1
33. Circle(s, H) → d_1
34. Intersect
35. Intersect(d_1, e, 2) → J
36. Midpoint(J, H) → K
37. Intersect
38. Intersect(c_1, f, 1) → L
39. Intersect
40. Intersect(g, t, 1) → M
41. Midpoint(I, L) → N
42. Midpoint(G, M) → P
43. Plane(A, K, O) → o
44. Plane(B, N, O) → u
45. Plane(C, P, O) → v
46. IntersectPath(o, a) → e_1
47. IntersectPath(v, a) → f_1
48. IntersectPath(u, a) → g_1
49. Intersect
50. Intersect(e_1, f_1) → Q, R, ,
51. OrthogonalPlane(O, n) → w
52. Plane(O, A, C) → a_1
53. OrthogonalLine(O, a_1) → b_1
54. Plane(Q, b_1) → h_1
55. IntersectPath(h_1, a) → k_1
56. Intersect(k_1, g, 2) → S
57. Line(O, Q) → i_1
58. Circle(i_1, S) → p_1