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Shadow of a Sphere

Shadow of a Sphere
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2017-07-19 00:00
VectorSolid GeometryGeometric Construction
This example demonstrates the projection of a sphere onto a plane. Key mathematical concepts include solid geometry and projection transformations. Using GeoGebra commands such as Sphere, Line, Intersect, Vector, IntersectPath, Point, and Cylinder, the construction of the sphere and its projection is achieved. Suitable for high school and above students to learn solid geometry and projection transformations.

GeoGebra Commands & Parameters

  1. Sphere(A, 1) → a
  2. Line(A, B) → f
  3. Intersect(f, xOyPlane) → C
  4. Vector(A, B) → u
  5. IntersectPath(b, a) → c
  6. Point(f) → D
  7. Cylinder(B, D, 1) → d, e, g, h
  8. IntersectPath(xOyPlane, d) → k
  9. Corner(k) → F, G, H, I
  10. Vector(B, C) → v