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Rolling Cylinder

Rolling Cylinder
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2020-03-11 08:56
TrigonometrySolid GeometryParametric EquationGeometric ConstructionLocus
This example demonstrates the path traced by a point on a cylinder as it rolls on a plane. Core mathematical concepts include solid geometry, trigonometry, parametric equations, and locus. Construction highlights the use of GeoGebra commands/objects such as Line, Cylinder, Point, Plane, Rotate, and IntersectPath. Suitable for high school students studying solid geometry, coordinate geometry, and parametric equations.

GeoGebra Commands & Parameters

  1. Line(A, yAxis) → f
  2. Cylinder(B, C, 2) → b, c, d, e
  3. Line(A, xAxis) → g
  4. Point(g) → D
  5. Plane(C, A, D) → p
  6. Rotate(p, 45°, g) → p'
  7. IntersectPath(p', b) → h
  8. Rotate(h, a, f) → h'
  9. Rotate(p, (-(45°)), g) → p'_1
  10. IntersectPath(p'_1, b) → k
  11. Rotate(k, a, f) → k'