TOPICS
Search

Intangent


Intangent

Given triangle DeltaABC, there are four lines simultaneously tangent to the incircle (with center I) and the A-excircle (with center J_A). Of these, three correspond to the sidelines of the triangle, and the fourth is known as the A-intangent (Kimberling 1998, p. 161), illustrated above.

The intangents intersect one another pairwise, and their points of intersection form the so-called intangents triangle.


See also

Circle-Circle Tangents, Extangent, Intangents Circle, Intangents Triangle

Explore with Wolfram|Alpha

References

Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.

Referenced on Wolfram|Alpha

Intangent

Cite this as:

Weisstein, Eric W. "Intangent." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Intangent.html

Subject classifications