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GPS Planes Intersecting a Sphere: Three Cases

GPS Planes Intersecting a Sphere: Three Cases
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2016-08-13 07:21
Coordinate GeometrySolid GeometryCalculusDerivativeGeometric Construction
This example demonstrates three different scenarios of GPS planes intersecting a sphere. Key math concepts include planes, spheres, median lines, modes, polynomial functions, Pythagorean theorem, and derivatives. It is constructed using GeoGebra commands like Intersect, Point, Sphere, Plane, and IntersectPath. Suitable for high school students and educators exploring spatial geometry and calculus concepts.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Point(yAxis) → B
  3. Sphere(A, B) → a
  4. Point(xAxis) → C
  5. Point(yAxis) → D
  6. Plane(C, D, E) → b
  7. Point(xAxis) → F
  8. Point(yAxis) → G
  9. Plane(G, F, E) → c
  10. IntersectPath(b, a) → d
  11. IntersectPath(c, a) → e
  12. Intersect
  13. Intersect(e, d) → H, I, ,