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Time and Place on Globe

Time and Place on Globe
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2015-12-07 01:43
TrigonometryCoordinate GeometrySolid GeometryCalculusGeometric Construction
In collections On Sphere
This example demonstrates the relationship between time and location on the Earth based on latitude and longitude. It involves core mathematical concepts such as spherical geometry, trigonometry, coordinate geometry, and calculus. The construction utilizes GeoGebra commands and objects like Intersect, Point, Sphere, PointIn, Circle, Plane, IntersectPath, Segment, Angle, Element, If, and Textfield. It is suitable for high school and above students to explore the intersection of geography and mathematics.

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