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Equation of a Sphere

Equation of a Sphere
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2018-10-14 19:37
FunctionCoordinate GeometrySolid Geometry
This example demonstrates the geometric representation of a sphere's equation. Key mathematical concepts include the sphere equation, quadratic equations, and geometric transformations. Using GeoGebra commands such as Intersect, Random, and PointIn, a dynamic construction of the sphere is achieved. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Random(-5, 5) → a
  3. Random(-5, 5) → b
  4. Random(4, 9) → r
  5. Random(-5, 5) → c
  6. PointIn(d) → B
  7. Segment(B, C) → f
  8. Circle(C, r, f) → g
  9. Point(g) → D
  10. Line(C, D) → h
  11. Circle(h, D) → k
  12. Circle(h, B) → p
  13. Line(B, C) → i
  14. Intersect(i, d) → E, F
  15. Intersect(h, d) → G, H
  16. Segment(F, B) → j
  17. Segment(D, G) → l