纬度变化与弧长计算

GeoGebra 命令及参数

1. Circle(Z, 3960) → c
2. Intersect(c, xAxis, 2) → Equator
3. Rotate(Equator, LatitudeOrig, Z) → Equator'
4. Segment(Z, Equator) → a
5. Line(Equator', a) → d
6. Intersect(d, yAxis) → A
7. Segment(A, Equator') → NewRadius
8. Angle(Equator, Z, Equator') → α
9. Segment(Z, Equator') → b
10. Sphere(Z, 3960) → e
11. OrthogonalLine(P, xOyPlane) → f
12. Intersect(f, e) → B, C
13. Circle(zAxis, C) → g
14. Center(g) → D
15. Segment(D, C) → h
16. Segment(Z, D) → i
17. Segment(Z, P) → j
18. Angle(C, Z, P) → LAT
19. Segment(Z, C) → m
20. Segment(Z, Equator) → n
21. Circle(Z, NewRadius) → p
22. Intersect(p, n, 1) → E
23. Rotate(P, LongitudeAngle°, Z) → P'
24. Segment(Z, E) → q
25. Segment(Z, P') → radius
26. Angle(E, Z, P', xOyPlane) → Longitude
27. Distance(P', P) → distanceP'P
28. CircleArc(Z, P, P', xOyPlane) → t
29. Textfield(LatitudeOrig) → InputBox1
30. Textfield(s) → InputBox2
31. Textfield(LongitudeAngle) → InputBox3
32. Rotate(Equator, LongitudeAngle°, Z) → Equator'_1
33. Segment(Z, Equator'_1) → a_1
34. Segment(Z, Equator) → b_1
35. CircleArc(Z, Equator, Equator'_1) → c_1
36. Angle(D, C, Z) → β