# Argand system

From HandWiki

In mathematics, an *n*th-order **Argand system** (named after *France* mathematician Jean-Robert Argand) is a coordinate system constructed around the *n*th roots of unity. From the origin, *n* axes extend such that the angle between each axis and the axes immediately before and after it is 360/*n* degrees. For example, the number line is the 2nd-order Argand system because the two axes extending from the origin represent 1 and −1, the 2nd roots of unity. The complex plane (sometimes called the Argand plane, also named after Argand) is the 4th-order Argand system because the 4 axes extending from the origin represent 1, *i*, −1, and −*i*, the 4th roots of unity.

## References

- Flanigan, Francis J.,
*Complex Variables: Harmonic and Analytic Functions*, Dover, 1983, ISBN 0-486-61388-7 - Jones, Phillip S., "Argand, Jean-Robert",
*Dictionary of Scientific Biography*237–240, Charles Scribner's Sons, 1970, ISBN 0-684-10114-9

Original source: https://en.wikipedia.org/wiki/Argand system.
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