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Sphere-Cone Intersection

Sphere-Cone Intersection
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2018-06-29 17:33
FunctionSolid GeometryGeometric Construction
This example demonstrates the construction and visualization of the intersection solid between a sphere and a cone. It involves core math concepts like solid geometry, 3D space, intersection volume, functions, and equations. Construction highlights include using commands like Line, Point, Segment, and Surface in GeoGebra. Suitable for high school students and math enthusiasts exploring spatial geometry and 3D modeling.

GeoGebra Commands & Parameters

  1. Line(A, xAxis) → f
  2. Point(f) → C
  3. Point(f) → B
  4. Segment(B, C) → g
  5. Point(g) → M
  6. Surface((((h - v) / h * r) * cos(u)), (((h - v) / h * r) * sin(u)), v, u, 0, (2 * π), v, 0, h) → Kegel
  7. Surface(x(M) + ((k * sin(u)) * cos(v)), y(M) + ((k * sin(u)) * sin(v)), z(M) + (k * cos(u)), u, 0, (2 * π), v, 0, (2 * π)) → Kugel