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Rolling Circle

Rolling Circle
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2015-08-06 20:04
CircleCoordinate GeometryGeometric Construction
In collections Rolling Circles and Polygons Rolling Circles and Polygons Rolling Circles and Polygons
This example demonstrates the trajectory of a rolling circle. It involves the geometric properties of circles and the concept of trajectories. Using GeoGebra commands Circle, Translate, and CurveCartesian, the rolling trajectory of the circle can be constructed. Suitable for high school mathematics education, particularly for teaching and learning coordinate geometry and trajectory concepts.

GeoGebra Commands & Parameters

  1. Circle((0, 1), 1) → c
  2. Translate(c, (a, 0)) → c'
  3. CurveCartesian(t + sin(t), 1 + cos(t), t, 0, a) → b