Dandelin球体：锥面与球面的交点构造

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(zAxis) → B
3. Line(C, yAxis) → a
4. Plane(D, a) → b
5. Mirror(C, D) → C'
6. Ray(D, C') → c
7. Angle(c, zAxis) → δ
8. ConeInfinite(A, B, aa) → d
9. IntersectPath(b, xz) → int
10. IntersectPath(xz, d) → g
11. Intersect(int, g) → V2, V1
12. Line(A, V1) → c_1
13. Line(A, V2) → c_2
14. Line(A, B) → vert
15. Point(c_2) → K
16. IntersectPath(b, d) → r
17. AngularBisector(c_1, int) → f, i
18. Intersect(vert, f) → O2
19. Intersect(vert, i) → O1
20. OrthogonalLine(O2, c_1, xz) → j
21. OrthogonalLine(O1, c_1, xz) → k
22. Intersect(c_1, j) → G
23. Intersect(c_1, k) → H
24. Circle(O2, G, xz) → p
25. Circle(O1, H, xz) → q
26. Intersect(int, q) → F_1, J
27. Intersect(int, p) → F_2, M
28. Sphere(O1, F_1) → l
29. Sphere(O2, F_2) → m
30. Circle(zAxis, H) → tan2
31. Circle(zAxis, G) → tan1
32. Point(r) → Q
33. Line(Q, A) → gen
34. Intersect(gen, tan1) → E,
35. Intersect(gen, tan2) → F,
36. Segment(Q, F_2) → e
37. Segment(Q, F) → n
38. Segment(Q, F_1) → s
39. Segment(Q, E) → t
40. Circle(vert, Q) → d_1
41. Plane(tan2) → o
42. IntersectPath(o, b) → dir
43. OrthogonalLine(Q, dir, b) → a_1
44. Intersect(dir, a_1) → I
45. OrthogonalLine(Q, a_1, b) → b_1
46. Intersect(b_1, int) → L
47. Intersect(dir, r) → N,
48. Intersect(int, r) → O, P
49. Intersect(dir, int) → R
50. Segment(Q, I) → e_1
51. Segment(L, R) → f_1
52. Intersect(b_1, r) → S, T
53. PointIn(b) → W
54. OrthogonalPlane(R, dir) → u
55. IntersectPath(u, d) → g_1
56. Intersect(g_1, tan2) → U, V, ,
57. Intersect(g_1, d_1) → Z, A_1, ,
58. Segment(Z, U) → h_1
59. If(bb < aa, text3, If[bb > aa, text1, text2]) → angle
60. Angle(Q, I, R, b) → α
61. Point(dir) → B_1
62. Angle(F_1, R, B_1, b) → β