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Longitude and Latitude

Longitude and Latitude
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2016-07-07 05:48
Coordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the concepts of longitude and latitude on Earth. It involves coordinate geometry and geometric construction. Using GeoGebra commands such as Sphere, IntersectPath, and CornerThreeD, the example constructs the meridians and parallels on the Earth. Suitable for high school and above students to learn geography and mathematics.

GeoGebra Commands & Parameters

  1. Sphere(O, A) → a
  2. IntersectPath(z = 0, a) → Equator
  3. CornerThreeD(-1, 11) → N
  4. Line(O, N) → f
  5. OrthogonalPlane(O, f) → b
  6. IntersectPath(b, a) → d
  7. Circle(zAxis, C) → e
  8. Segment(B, C) → R_{Lat}
  9. CircumcircleArc(D, E, F) → g
  10. CircumcircleArc(D, A, F) → h
  11. Intersect(Equator, g, 2) → G
  12. Line(F, D) → i
  13. Segment(B, D) → j
  14. CircumcircleArc(D, H, F) → k
  15. CircumcircleSector(D, E, F) → p
  16. Segment(B, E) → l
  17. Intersect(Equator, p, 2) → I
  18. Segment(O, G) → m
  19. Segment(O, A) → n
  20. Angle(A, O, G) → α
  21. Segment(J, O) → OJ
  22. Angle(H, O, J) → β
  23. Angle(E, O, G) → γ
  24. Segment(O, P) → OP
  25. Segment(O, E) → q
  26. Line((0, 0, 0), (R_E, 0, 0)) → r
  27. Line((0, 0, 0), (0, R_E, 0)) → s
  28. Segment((0, 0, 0), (0, R_E, 0)) → t
  29. Segment((0, 0, 0), (0, (-R_E), 0)) → c
  30. Segment((0, 0, 0), ((-R_E), 0, 0)) → f_1
  31. Vector(O, E) → u
  32. Textfield(Long) → InputBox1
  33. Textfield(Lat) → InputBox2