GeoGebra

Arithmetic of complex numbers

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Contents

Background

We can consider a point A in GeoGebra to be a point in the complex plane C. Using the algebra window, A+B, for example, will calculate the sum of the points and this can be interpreted as complex addition.

Using the "new tools" of the pre-release (as of March 2007) version of GeoGebra we can define complex multiplication, conjugation and reciprocal/inverse.

Tools

  • more convenient is a worksheet containing all these tools at once.

Complex multiplication

This worksheet shows the effect of the complex transform z->z^2 on the line and circle. Tools from this worksheet can easily be adapted for other calculations. Double click on the worksheet to open it.

1/z

This worksheet shows the effect of the complex transform z->1/z on the line and circle. Tools from this worksheet can easily be adapted for other calculations. Double click on the worksheet to open it.