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Pyramid v2

Pyramid v2
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2017-04-28 14:10
Solid GeometryTransformationGeometric Construction
This example demonstrates the construction of a second-order pyramid. Key mathematical concepts include pyramid, incircle, hyperbola, secant line, multiplication, and geometric transformations. Using GeoGebra commands such as Point, Polygon, Pyramid, Segment, and Angle, the various faces and edges of the pyramid can be constructed. Suitable for high school geometry education and learning.

GeoGebra Commands & Parameters

  1. Point({0, 0, 0}) → A
  2. Point({0, 4, 0}) → B
  3. Point({2, 4, 0}) → C
  4. Point({2, 0, 0}) → D
  5. Polygon(A, B, C, D) → poly1, a, b, c, d
  6. Point({1, 2, 4}) → E
  7. Pyramid(poly1, E) → e, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  8. Segment(Point[{1, 0, 0}], E) → S
  9. Segment(Point[{1, 2, 0}], E) → S_{2}
  10. Segment(Point[{1, 2, 0}], Point[{1, 0, 0}]) → S_{3}
  11. Angle(S_{2}, S_{3}) → α
  12. Point({1, 0, 0}) → F
  13. Angle(D, F, E) → β