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Ball Shadow

Ball Shadow
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2016-01-01 11:51
Solid GeometryTransformationGeometric Construction
This example demonstrates the shadow of a ball under different conditions. It involves key concepts such as spheres, geometric transformations, and solid geometry. Using GeoGebra commands like RotateText, Sphere, PointIn, OrthogonalPlane, IntersectConic, Distance, Cone, Dilate, and IntersectPath, the example allows dynamic exploration of ball shadows. Suitable for high school and above students studying solid geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. RotateText("uStas\;\&\,T.C.", 90°) → надпись1
  2. Sphere(Q, m) → ω
  3. Sphere(Q, (k * m)) → Ω
  4. PointIn(Ω) → A
  5. OrthogonalPlane(Q - (0, 0, m), zAxis) → ζ
  6. IntersectConic(Sphere[Midpoint[A, Q], (0.5 * Segment[A, Q])], ω) → ψ
  7. Distance(A, Center[ψ]) → h
  8. Cone(ψ, (-h)) → φ, c, a
  9. Dilate(φ, (0.5 * k), A) → Φ
  10. IntersectPath(ζ, Φ) → α