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Geographic Coordinates and Time

Geographic Coordinates and Time
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2015-12-09 00:57
FunctionCoordinate GeometryCalculus
In collections On Sphere
This example demonstrates the relationship between geographic coordinates and time. It involves core mathematical concepts such as coordinate systems, functions, and calculus. Using GeoGebra commands like Intersect, Point, Sphere, etc., it dynamically shows how geographic coordinates change over time. Suitable for high school and above students learning coordinate geometry and calculus.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Intersect(zAxis, xOyPlane) → B
  3. Point(zAxis) → C
  4. Sphere(A, 2) → a
  5. PointIn(a) → D
  6. Point(zAxis) → E
  7. Circle(C, D, E) → c
  8. Plane(D, xOyPlane) → b
  9. IntersectPath(b, a) → d
  10. Circle(C, E, (2, 0, 0)) → e
  11. Circle((2, 0, 0), (0, 2, 0), (0, -2, 0)) → f
  12. Intersect
  13. Intersect(c, f) → F, G, ,
  14. Segment(A, F) → g
  15. Angle(g, xAxis) → α
  16. Segment(A, D) → h
  17. Angle(g, h) → β
  18. Segment(A, (2, 0, 0)) → i
  19. Element(t, 3) → min
  20. Element(t, 2) → sek
  21. If(y(D) ≥ 0, gmt + floor(α / (π / 12)), gmt - floor(α / (π / 12))) → hourl
  22. Textfield(gmt) → InputBox1