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Intersection of Two Cones

Intersection of Two Cones
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2019-09-21 19:58
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the intersection of two cones. Key mathematical concepts include solid geometry and coordinate geometry. Using GeoGebra commands such as Intersect, Point, Cone, Segment, and Sequence, the intersection of two cones can be constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → A
  2. Point(zAxis) → B
  3. Cone(A, B, r1) → a, c, b
  4. Cone(C, D, r2) → d, e, f
  5. Segment(C, D) → g
  6. Sequence({Intersect[Circle[Point[g, i], (r2 * (1 - i)), g], IntersectPath[OrthogonalPlane[Point[g, i], g], b]]}, i, 0, 1, 1 / n) → l2