= Mixtilinear incircles of a triangle
{wiki=Mixtilinear_incircles_of_a_triangle}
The mixtilinear incircle of a triangle is a special circle associated with a triangle, particularly in relation to its vertices and its incircle. For a given triangle \\( ABC \\), the mixtilinear incircle pertaining to a vertex, say \\( A \\), is the circle that is tangent to: 1. The incircle of triangle \\( ABC \\), 2. The arc \\( BC \\) of the circumcircle of triangle \\( ABC \\) that does not contain the vertex \\( A \\).
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