## Encyclopedia > Complex geometry

Article Content

# Complex geometry

Complex analytical geometry deals with solving geometrical problems, especially involving angles, by means of complex algebra. Using Euler's formula,
$e^{i\theta}=\cos(\theta)+i\sin(\theta),\quad$
it is possible to represent any rotation as a complex number.

Rather than represent a point in the plane as a pair of Cartesian coordinates, it can simply be represented as a complex number, which in turn can be written in either rectangular or polar form.

Complex numbers can thus be used to solve problems in elementary geometry[?] in simple and clear way. This method is sometimes used in the advanced high-school mathematics, since it allows schoolchildren to write down angle relations in terms of simple formulas.

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia
 Search over one million articles, find something about almost anything!

Featured Article
 Great River, New York ... who is 65 years of age or older. The average household size is 3.04 and the average family size is 3.36. In the town the population is spread out with 29.0% under the ...