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Parametric Equations Grapher by Tim Brzezinski

Parametric Equations Grapher by Tim Brzezinski
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2016-08-13 02:00
FunctionCoordinate GeometryParametric Equation
In collections Parametric Equations
This example demonstrates how to use parametric equations to draw graphs. Key mathematical concepts include parametric equations and coordinate geometry. Using GeoGebra commands such as Circle, Intersect, Vector, and Slope, complex shapes can be constructed. Suitable for high school and above students to learn the application of parametric equations.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Intersect(c, b, 2) → B
  3. Intersect(c, b, 1) → C
  4. Vector(A, C) → u
  5. Vector(A, B) → v
  6. Slope(b) → d
  7. Textfield(m) → InputBox1
  8. Textfield(n) → InputBox2
  9. CurveCartesian(m(t), n(t), t, e, g) → a
  10. Textfield(e) → InputBox3
  11. Textfield(f) → InputBox4
  12. CurveCartesian(m(t), n(t), t, e, f) → i

AI Drawing Prompt Reference

Draw a parametric equation demonstration: start with a unit circle centered at the origin, intersected by a line at two points. From the center, draw vectors to each intersection point. Place four input boxes on the interface to adjust the two functions in the parametric equations and the start and end of the parameter range. Based on these inputs, plot two parametric curves: one using the full default range, and another using the user-specified range. Both curves have the same shape but may differ in length, showing how the parameter range affects the drawn portion.
The prompt above was compiled from the original drawing commands and is for reference only.