球面上的三角形 by Andrew Looms

GeoGebra 命令及参数

1. Intersect(yAxis, xAxis) → O
2. Sphere(O, R) → a
3. PointIn(a) → Cfree
4. PointIn(a) → B
5. PointIn(a) → A
6. Sphere(A, B) → d
7. IntersectConic(a, d) → f
8. Sphere(B, A) → b
9. IntersectConic(a, b) → e
10. Intersect
11. Intersect(e, f, 1) → Cequalateral
12. Plane(A, O, B) → g
13. OrthogonalLine(O, g) → axisAB
14. Circle(axisAB, B) → gab
15. Tangent(B, gab) → tanBA2, tanBA1
16. OrthogonalPlane(O, tanBA1) → h
17. IntersectPath(h, a) → k
18. Point(k) → Cright
19. If(free, Cfree, If[right, Cright, Cequalateral]) → C
20. Plane(O, A, C) → c
21. OrthogonalLine(O, c) → axisAC
22. Circle(axisAC, C) → gac
23. Plane(O, B, C) → i
24. OrthogonalLine(O, i) → axisBC
25. Circle(axisBC, B) → gbc
26. Tangent(B, gbc) → tanBC1, tanBC2
27. Tangent(A, gab) → tanAB1, tanAB2
28. Tangent(A, gac) → tanAC2, tanAC1
29. UnitVector(tanBA2) → v1
30. UnitVector(tanBC1) → v2
31. Angle(B1, B, B2) → β
32. UnitVector(tanAC2) → w1
33. UnitVector(tanAB1) → w2
34. Angle(A2, A, A1) → γ
35. Point(gbc) → BC
36. Point(gac) → AC
37. Point(gab) → AB
38. CircumcircleArc(B, AB, A) → ab
39. Segment(O, A) → OA
40. Segment(O, B) → OB
41. Midpoint(A, B) → D
42. CircumcircleArc(C, AC, A) → ac
43. CircumcircleArc(B, BC, C) → bc
44. Tangent(C, gac) → tanCA1, tanCA2
45. Tangent(C, gbc) → tanCB1, tanCB2
46. Angle(C2, C, C1) → α