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Square Cross Sections

Square Cross Sections
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2016-08-02 20:22
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates square cross sections. It involves coordinate geometry with curves and polygons. Using GeoGebra commands such as Point, Segment, Polygon, and CurveCartesian, a solid with square cross sections can be constructed. Suitable for high school mathematics education, particularly in solid geometry and coordinate geometry.

GeoGebra Commands & Parameters

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