MathPlotAI Logo MathPlotAI

3D Cone Section View

3D Cone Section View
Loading the math board and drawing, please wait…
2016-08-21 19:23
TrigonometryCoordinate GeometrySolid GeometryGeometric ConstructionGraphing
This example demonstrates the 3D cross-section of a cone created by intersecting a plane with the cone. Key math concepts include solid geometry, coordinate geometry, and trigonometric functions. The construction uses commands like InfiniteCone, Line, Plane, and IntersectPath. Suitable for high school students and math enthusiasts exploring geometric properties of conic sections.

GeoGebra Commands & Parameters

  1. InfiniteCone((0, 0, 0), (0, 0, 1), α) → a
  2. Line((0, 0, 0), (0, sin(β), cos(β))) → c
  3. Line(A, c) → e
  4. Line(A, (1, 0, h)) → b
  5. Plane(b, e) → d
  6. IntersectPath(d, a) → f