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Projection of Space Diagonal of the Cuboid: Example

Projection of Space Diagonal of the Cuboid: Example
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2016-05-17 10:16
AngleVectorSolid GeometryGeometric Construction
This GeoGebra example visualizes the projection of a cuboid's space diagonal onto a plane. It covers solid geometry, vector projection, and spatial angles. Construction involves Translate, Segment, Point, Angle, and Vector commands to build the polyhedron and projection lines. Ideal for high school students learning 3D geometry or teachers demonstrating spatial visualization techniques.

GeoGebra Commands & Parameters

  1. Translate(Prism[Polygon[A, A + (5, 0), A + (5, 4), A + (0, 4)], 3], Vector[(0, 0)]) → a
  2. Translate(Polygon[A, A + (5, 0), A + (5, 4), A + (0, 4)], Vector[(0, 0)]) → poly1
  3. Segment(B, E) → i
  4. Point(Segment[E, D]) → P
  5. Segment(E, P) → j
  6. Segment(D, B) → f
  7. Angle(B, D, E) → α
  8. Vector(P, P - (0, 0, 0.6)) → u