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Inversion

Inversion
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2020-07-28 08:57
FunctionComplex NumberGeometric Construction
In collections MATH3401 - Lectures
This example demonstrates the geometric effect of inversion in the complex plane. It involves core mathematical concepts such as complex numbers, functions, and geometric transformations. Construction highlights include using the Circle and Segment commands with objects like circle c, points Z, z_1, f, z_2, g, h, and text1. Suitable for high school and above students learning complex number geometry and function graphs.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Segment((0, 0), Z) → f
  3. Segment((0, 0), z_1) → g
  4. Segment((0, 0), z_2) → h

AI Drawing Prompt Reference

Draw a unit circle and draw line segments from the origin to two different points, showing their lengths. Then draw another line segment from the origin to a third point, also showing its length. The relationship between these line segments and the unit circle illustrates the inversion effect in the complex plane, suitable for learning complex number geometry and function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.