Geometry Stumper

[Albert Chan]

(08-14-2018 06:04 PM)Thomas Puettmann Wrote:  the circle in question is not the inscribed circle of the triangle ABC, but
the circle whose midpoint is D and which touches the three lines AB, AC, and BC..

What does midpoint of a circle mean ?

Is it true that a circle that touches AB, AC, BC must be inscribed or circumscribed ?
My geometry is a bit rusty ...