Encyclopedia > Excircle

  Article Content

Excircle

In geometry an excircle or escribed circle of a triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two sides.

Every triangle has three distinct excircles, each tangent to the side of the triangle it is associated with. The center of an excircle lies on the internal bisector of one angle and the external bisectors of the other two.



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
History of astronomy

... group of stars was only proven in the 20th century, along with the existence of "external" galaxies, and soon after, the expansion of the universe seen in the recession of ...