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,
<math>e^{i\theta}=\cos(\theta)+i\sin(\theta),\quad</math>
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.

See also



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
Quioque, New York

... out of which 28.9% have children under the age of 18 living with them, 42.6% are married couples living together, 11.9% have a female householder with no husband present, ...

 
 
 
This page was created in 25.4 ms