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Surface Solid with Square Cross Section

Surface Solid with Square Cross Section
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2015-07-28 21:50
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates a surface solid with square cross sections. Key mathematical concepts include solid geometry and coordinate geometry. Using GeoGebra commands such as Point, Polygon, CurveCartesian, and Surface, a surface solid with square cross sections can be constructed. Suitable for high school or university-level solid geometry studies.

GeoGebra Commands & Parameters

  1. Point(Segment[(1, 0), (5, 0)]) → A
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. CurveCartesian(t, 0, f(t), t, 1, 5) → e
  4. CurveCartesian(t, f(t), f(t), t, 1, 5) → g
  5. Surface((u * t) + ((1 - u) * t), (u * 0) + ((1 - u) * f(t)), (u * f(t)) + ((1 - u) * f(t)), t, 1, 5, u, 0, 1) → h
  6. Surface((u * t) + ((1 - u) * t), (u * 0) + ((1 - u) * 0), (u * 0) + ((1 - u) * f(t)), t, 1, 5, u, 0, 1) → i
  7. Surface((u * t) + ((1 - u) * t), (u * f(t)) + ((1 - u) * f(t)), (u * f(t)) + ((1 - u) * 0), t, 1, 5, u, 0, 1) → j
  8. Surface((u * t) + ((1 - u) * t), (u * 0) + ((1 - u) * f(t)), (u * 0) + ((1 - u) * 0), t, 1, 5, u, 0, 1) → k