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Cross Section of a Cone

Cross Section of a Cone
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2017-10-22 19:15
TriangleCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the cross-section of a cone and its variations. Core math concepts include the cone, triangles, coordinate geometry, and conic sections. Construction highlights GeoGebra commands like Translate, Cone, IntersectPath, Rotate, Segment, and Plane. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Translate(Rotate[Rotate[Plane[xAxis, yAxis], tt, xAxis], rr, zAxis], Vector[(0, 0, ud)]) → b
  2. Cone(G, FF, 3) → co, c, a
  3. IntersectPath(b, co) → poly5
  4. Rotate(Rotate[Translate[poly5, Vector[(0, 0, (-ud))]], (-rr), zAxis], (-tt), xAxis) → poly2
  5. Segment(FF, G) → hei
  6. Plane((0, 0, -2), (0, 1, -2), (1, 0, -2)) → base
  7. IntersectPath(base, co) → basecircle