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Cuboid Diagonal Projection Demo by Anthony OR 柯志明

Cuboid Diagonal Projection Demo by Anthony OR 柯志明
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2016-05-18 12:50
VectorTrigonometryCoordinate GeometrySolid GeometryGeometric Construction
In collections Projections and Angles
This example demonstrates the spatial projection of a cuboid's diagonal. It involves core math concepts like vectors, angles, coordinate geometry, and trigonometric functions. Construction highlights include Translate, Segment, Point, Vector, and Angle commands/objects in GeoGebra. Suitable for high school students learning solid geometry and vector basics, providing a visual understanding of spatial geometry problems.

GeoGebra Commands & Parameters

  1. Translate(Polygon[A, B, G, F], Vector[(0, 0)]) → poly1
  2. Translate(Prism[Polygon[A, A + (5, 0), A + (5, 4), A + (0, 4)], 3], Vector[(0, 0)]) → a
  3. Segment(A, H) → i
  4. Point(Segment[G, H]) → P
  5. Segment(A, G) → f
  6. Vector(P, P + (0, -0.7, 0)) → u
  7. Angle(A, G, H) → α
  8. Segment(H, P) → j