Hypotrochoid

Hypotrochoid
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2019-02-21 03:44
This example demonstrates the generation of a hypotrochoid, the path traced by a point on the circumference of a small circle rolling inside a larger circle. Key math concepts include parametric equations, trigonometric functions, and geometric constructions. The construction uses GeoGebra commands like CurveCartesian, Segment, and Circle, with objects such as R (radius of the larger circle), r (radius of the smaller circle), d (distance between centers), and others. Suitable for high school mathematics education to explore parametric equations and locus problems.

GeoGebra Commands & Parameters

  1. CurveCartesian(f(t), g(t), t, 0, tmax) → a
  2. Segment(A, B) → h
  3. Circle(A, r) → e
  4. Segment(A, B) → i
  5. Circle((0, 0), R) → c