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Plane Sections of Double Napped Cone

Plane Sections of Double Napped Cone
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2017-03-01 18:31
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the plane sections of a double napped cone. Key mathematical concepts include the properties of sections in solid geometry. Using GeoGebra commands such as Plane, Circle, Point, Segment, and Cone, dynamic visualizations of the geometric shapes formed by different plane sections of the double napped cone are shown. Suitable for high school geometry lessons.

GeoGebra Commands & Parameters

  1. Plane(A, (0, 0, 0), (0, 1, 0)) → b
  2. Circle(A, 3, b) → c
  3. Point(c) → M
  4. Segment(M, A) → f
  5. OrthogonalPlane(A, f) → d
  6. Cone((0, 0, -4), (0, 0, 0), 3) → e, e_2, e_3
  7. Mirror(e, (0, 0, 0)) → e'
  8. IntersectPath(d, e) → g
  9. IntersectPath(d, e') → h