MathPlotAI Logo MathPlotAI

Coin Paradox: Rotation Demo

Coin Paradox: Rotation Demo
Loading the math board and drawing, please wait…
2012-03-22 00:41
CircleTransformationGeometric ConstructionLocus
This example demonstrates the dynamic geometric phenomenon of one coin orbiting a stationary coin. It involves core math concepts like rotation, geometric transformations, parametric equations, and locus. Construction highlights include GeoGebra commands and objects such as Intersect, Circle, Point, Line, Rotate, and Tangent as per the command summary. Suitable for high school and above learners to understand applications of rotation geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, ar + br) → k
  3. Circle(A, ar) → c
  4. Point(c) → B
  5. Line(A, B) → b
  6. Rotate(b, RotationAngle, A) → b'
  7. Intersect(k, b') → M, N
  8. Circle(M, br) → p
  9. Intersect(p, b') → C, D
  10. Tangent(C, c) → d,
  11. Intersect(b, yAxis) → H
  12. Intersect(b, yAxis) → I
  13. Intersect(c, b, 2) → J
  14. Tangent(J, c) → h,
  15. Point(h) → K
  16. Point(h) → L
  17. Rotate(C, c2rotation, M) → CoinRotate
  18. Tangent(CoinRotate, p) → a,
  19. Point(a) → E
  20. Point(a) → F
  21. Point(h) → G
  22. Point(h) → O