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Joukowsky Map

Joukowsky Map
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2020-01-16 18:28
TrigonometryCoordinate GeometryComplex NumberParametric EquationGraphing
This example demonstrates the Joukowsky map transforming a circle into a wing-like function graph. It involves core math concepts like complex functions, parametric equations, and coordinate geometry. Construction uses GeoGebra commands such as Circle, Point, and Locus. Suitable for high school and above learning applications of complex functions and parametric equations.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Point(c) → B
  3. Locus(z_1, B) → loc1

AI Drawing Prompt Reference

Draw a graph showing how a circle transforms into a wing-like function through a specific mapping, including a circle, a point on the circle, and the path traced by the point as it moves around the circle, demonstrating the application of complex functions and parametric equations.
The prompt above was compiled from the original drawing commands and is for reference only.