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Cycloid Generation

Cycloid Generation
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2021-12-14 07:45
CircleFunctionParametric Equation
In collections Curves and Surfaces
This applet illustrates the trace of a fixed point on a circle when the circle is rolled on a straight line, known as a cycloid. It involves the geometric properties of circles and parametric equations. The commands used include Circle and CurveCartesian, constructing a circle and a curve. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(O, r) → c
  2. CurveCartesian((r * (t - sin(t))), (r * (1 - cos(t))), t, 0, k) → a

AI Drawing Prompt Reference

Draw the path traced by a fixed point on a circle as it rolls along a straight line, known as a cycloid. First, draw a circle, then plot the curve representing the motion of a point on the circle as it rolls along the line, defined by parametric equations.
The prompt above was compiled from the original drawing commands and is for reference only.