https://artofproblemsolving.com/wiki/index.php?title=Excenter&feed=atom&action=historyExcenter - Revision history2020-10-20T12:05:11ZRevision history for this page on the wikiMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=Excenter&diff=53074&oldid=prevFlamefoxx99: Created page with "An excenter, denoted <math>J_i</math>, is the center of an excircle of a triangle. An excircle is a circle tangent to the extensions of two sides and the third side. It is also ..."2013-06-21T02:05:52Z<p>Created page with "An excenter, denoted <math>J_i</math>, is the center of an excircle of a triangle. An excircle is a circle tangent to the extensions of two sides and the third side. It is also ..."</p>
<p><b>New page</b></p><div>An excenter, denoted <math>J_i</math>, is the center of an excircle of a triangle. An excircle is a circle tangent to the extensions of two sides and the third side. It is also known as an escribed circle.<br />
<br />
==Properties of the Excenter==<br />
*It lies on the angle bisector of the angle opposite to it in the triangle.<br />
*In any given triangle, <math>\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}=\frac{1}{r}</math>. <math>r_i</math> are the radii of the excircles, and <math>r</math> is the [[inradius]].<br />
<br />
{{stub}}</div>Flamefoxx99