Definition of Excircle. Meaning of Excircle. Synonyms of Excircle

- of the incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle...
- {a+b+c}{2}}.} In any triangle, any vertex and the point where the opposite excircle touches the triangle partition the triangle's perimeter into two equal...
- states more generally that the nine-point circle is tangent to the three excircles of the triangle as well as its incircle. A very short proof of this theorem...
- also been called an exscriptible quadrilateral. The circle is called its excircle, its radius the exradius and its center the excenter (E in the figure)...
- circles Schoch circles Woo circles Apollonius circle of the excircles Brocard circle Excircle Incircle Lemoine circle Lester circle Malfatti circles Mandart...
- TC be the extouch points in which the A-excircle meets line BC, the B-excircle meets line CA, and the C-excircle meets line AB, respectively. The lines...
- excircles; they lie outside the triangle and touch one side, as well as the extensions of the other two. The centers of the incircles and excircles form...
- points of tangency formed by the opposing excircle and a larger circle that is tangent to all three excircles. In the literature, the term "Apollonius...
- corresponding extended base sides but not the base sides themselves. The excircles of a triangle, as well as the triangle's inconics that are not inellipses...
- triangle's nine-point circle is externally tangent to that triangle's three excircles and internally tangent to its incircle; this result is known as Feuerbach's...