MathPlotAI Logo MathPlotAI

Pyramid Section by a Plane Parallel to Its Base by Mathieu Blossier

Pyramid Section by a Plane Parallel to Its Base by Mathieu Blossier
Loading the math board and drawing, please wait…
2014-05-28 16:41
Solid Geometry
In collections 3D Geometry & Cross Sections Spheres & Cross Sections GeoGebra goes 3D
This example demonstrates the section of a pyramid by a plane parallel to its base, showing the resulting shapes such as ellipses and hyperbolas. Key mathematical concepts include solid geometry, ellipses, and hyperbolas. Using GeoGebra commands like PointIn, Polygon, Translate, and IntersectPath, the construction of the pyramid and its section is illustrated. Suitable for high school geometry education or students learning solid geometry.

GeoGebra Commands & Parameters

  1. PointIn(xOyPlane) → B
  2. PointIn(xOyPlane) → A
  3. Polygon(A, B, 4, xOyPlane) → poly1, a, b, c, d, C, D
  4. Pyramid(poly1, E) → e, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  5. Translate(xOyPlane, Vector[(0, 0, 3)]) → f
  6. IntersectPath(f, e) → poly2, poly3, g, h, i, j, k, l, m, n, G, H, I, J, K, L, M, N
  7. PointIn(poly2) → Pointpoly2
  8. PointIn(poly1) → Pointpoly1
  9. Distance(A, B) → distanceAB
  10. Distance(H, G) → distanceHG
  11. Perimeter(faceABE) → perimeterfaceABE