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The Rolling Cup

The Rolling Cup
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2019-10-26 02:46
FunctionCoordinate GeometryLocus
This example demonstrates the path traced by a point on a rolling cup, involving core mathematical concepts such as division, power functions, cubes, ellipses, and polynomial functions. It is constructed using GeoGebra commands like Circle, Point, Line, Intersect, Segment, Center, and Surface. Suitable for high school students studying analytical geometry, function graphs, and geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(D, E, F) → d
  2. Circle(A, B, C) → c
  3. Point(c) → G
  4. Line(G, (0, 0, 0)) → f
  5. Intersect(f, d) → H, I
  6. Segment(G, I) → g
  7. Line((0, 0, 0), (0, 0, 1)) → h
  8. Circle(J, G, g) → e
  9. Circle(K, I, g) → k
  10. Center(e) → L
  11. Center(k) → M
  12. Line(L, M) → i
  13. Surface(g, 360, i) → a