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Coordinates on a Sphere

Coordinates on a Sphere
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2015-12-03 03:33
Coordinate GeometrySolid GeometryGeometric Construction
In collections On Sphere
This example demonstrates the coordinate representation of points on a sphere. Key mathematical concepts include spherical coordinates and spatial geometry. Using GeoGebra commands such as Intersect, Point, and Sphere, one can construct points and related geometric elements on a sphere. Suitable for high school and above students learning spatial geometry and coordinate systems.

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